VandenBroeck and Keller, Equation (23)

Time bar (total: 16.7s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze407.0ms (2.4%)

Memory
31.9MiB live, 442.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
12.5%12.5%87.4%0.1%0%0%0%6
15.6%15.6%84.3%0.1%0%0%0%7
16.7%15.6%78%0.1%0%6.2%0%8
25%23.4%70.2%0.1%0%6.2%0%9
29.7%26.9%63.6%0.1%0%9.4%0%10
30.8%26.9%60.5%0.1%0%12.5%0%11
35.9%31.4%56%0.1%0%12.5%0%12
Compiler

Compiled 29 to 22 computations (24.1% saved)

sample2.1s (12.4%)

Memory
62.1MiB live, 1 769.0MiB allocated
Samples
1.4s8 256×0valid
52.0ms290×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-tan: 209.0ms (17.8% of total)
ival-mult: 201.0ms (17.1% of total)
ival-sin: 192.0ms (16.3% of total)
ival-div: 177.0ms (15.1% of total)
ival-pow: 167.0ms (14.2% of total)
ival-add: 129.0ms (11% of total)
ival-neg: 81.0ms (6.9% of total)
exact: 10.0ms (0.9% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain274.0ms (1.6%)

Memory
-13.6MiB live, 324.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
820-0-(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
370-0-(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
00-0-(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 F F) #s(literal 2 binary64))
00-0-(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
00-0-(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
00-0-(*.f64 F F)
00-0-(*.f64 #s(literal 2 binary64) x)
00-0-(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
00-0-F
00-0-(tan.f64 B)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
00-0-(/.f64 F (sin.f64 B))
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 1 binary64) (tan.f64 B))
00-0-x
00-0-B
00-0-(sin.f64 B)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
pow.f64(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))oflow-rescue820
(*.f64 F F)overflow82
(+.f64 (*.f64 F F) #s(literal 2 binary64))overflow82
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))overflow82
*.f64(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))n*o370
Confusion
Predicted +Predicted -
+600
-27169
Precision
0.6896551724137931
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6000
-270169
Precision?
0.6896551724137931
Recall?
1.0
Freqs
test
numberfreq
0169
155
232
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
96.0ms512×0valid
Compiler

Compiled 268 to 64 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-tan: 17.0ms (23.5% of total)
ival-mult: 12.0ms (16.6% of total)
ival-pow: 11.0ms (15.2% of total)
ival-div: 10.0ms (13.8% of total)
ival-sin: 10.0ms (13.8% of total)
ival-add: 7.0ms (9.7% of total)
ival-neg: 4.0ms (5.5% of total)
ival-true: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)

preprocess244.0ms (1.5%)

Memory
27.9MiB live, 73.7MiB allocated
Algorithm
egg-herbie
Rules
926×times-frac
816×lower-fma.f64
816×lower-fma.f32
748×unsub-neg
564×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081229
1209195
2538191
31197191
42806191
54494191
65054191
75344191
85458191
95466191
105472191
115800191
125936191
135936191
145936191
155936191
02024
03724
15821
29821
315021
421021
531421
646621
790821
8116021
9126021
10142921
11155221
12157221
0157219
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 x (tan.f64 B))))
Symmetry

(negabs B)

Compiler

Compiled 30 to 20 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify54.0ms (0.3%)

Memory
-12.2MiB live, 33.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
cost-diff128
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
cost-diff320
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
Rules
816×lower-fma.f64
816×lower-fma.f32
472×lower-*.f32
464×lower-*.f64
224×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020103
037103
15896
29896
315096
421096
531496
646696
790896
8116096
9126096
10142996
11155296
12157296
0157287
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
(/.f64 F (sin.f64 B))
F
(sin.f64 B)
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 F F) #s(literal 2 binary64))
(*.f64 F F)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 x (tan.f64 B))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(neg.f64 (/.f64 x (tan.f64 B)))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(/.f64 F (sin.f64 B))
F
(sin.f64 B)
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
(+.f64 (*.f64 F F) #s(literal 2 binary64))
(fma.f64 F F #s(literal 2 binary64))
(*.f64 F F)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)

localize82.0ms (0.5%)

Memory
-3.1MiB live, 90.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1171875
(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy0.23046875
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy9.019693301314204
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
accuracy19.141514385455803
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
Samples
53.0ms256×0valid
Compiler

Compiled 119 to 22 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 10.0ms (26.7% of total)
ival-mult: 6.0ms (16% of total)
ival-sin: 5.0ms (13.3% of total)
ival-tan: 5.0ms (13.3% of total)
ival-pow: 5.0ms (13.3% of total)
ival-add: 3.0ms (8% of total)
ival-neg: 2.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.2%)

Memory
9.8MiB live, 53.6MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (patch (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (patch (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ x B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1/3 (* (pow B 2) x))) B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
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Calls

39 calls:

TimeVariablePointExpression
4.0ms
F
@0
(+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))))
3.0ms
x
@-inf
(pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))
3.0ms
B
@0
(+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))))
2.0ms
x
@0
(* x (/ 1 (tan B)))
2.0ms
B
@inf
(+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))))

simplify378.0ms (2.3%)

Memory
-8.3MiB live, 462.1MiB allocated
Algorithm
egg-herbie
Rules
19 798×lower-fma.f64
19 798×lower-fma.f32
6 374×lower-*.f64
6 374×lower-*.f32
5 638×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04964202
114844010
253783926
085743585
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B)))
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(+ 2 (* 2 x))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 2)))
(pow F 2)
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(pow F 2)
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(+ 2 (pow F 2))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 2)))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x))))
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x))))
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x))))
(* 2 x)
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))
(sqrt (/ 1 (+ 2 (* 2 x))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(/ 1 F)
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)
(/ -1 F)
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F))
(sqrt (/ 1 (+ 2 (pow F 2))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))
(* (sqrt (/ 1 x)) (sqrt 1/2))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
(/ 1 (sin B))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))
(/ -1 (sin B))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B)))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B)))
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(/ 1 B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
Outputs
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ x B)
(/.f64 x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 F (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) F)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (/.f64 (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) #s(literal -1/8 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(-.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) F)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (/.f64 (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) #s(literal -1/8 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/16 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/64 binary64)) #s(literal -1/2 binary64))) (*.f64 F (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)))) (*.f64 x (*.f64 x x))))
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/.f64 (fma.f64 B (*.f64 B #s(literal -1/3 binary64)) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B)
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))

rewrite240.0ms (1.4%)

Memory
35.1MiB live, 354.5MiB allocated
Rules
9 162×lower-fma.f64
9 162×lower-fma.f32
5 634×lower-*.f32
5 626×lower-*.f64
2 936×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02071
03767
112266
278966
0829658
Stop Event
iter limit
node limit
iter limit
Counts
7 → 360
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(neg.f64 (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64)))
(/.f64 x (tan.f64 B))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) x)))
(/.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 x (tan.f64 B)))
(/.f64 (neg.f64 x) (neg.f64 (tan.f64 B)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (neg.f64 (neg.f64 x)) (tan.f64 B))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (tan.f64 B)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64)))
(pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (neg.f64 x))
(*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 B))) (cos.f64 B))
(*.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 x (tan.f64 B))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 1 binary64) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 F (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 F (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 F) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (neg.f64 x)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 F)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (/.f64 (tan.f64 B) x) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B)))) (/.f64 (neg.f64 x) (tan.f64 B)))
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(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) F)))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 F (sin.f64 B))))
(*.f64 (/.f64 (neg.f64 F) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)))
(*.f64 (*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 (*.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (neg.f64 (sin.f64 B)))
(pow.f64 (tan.f64 B) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (tan.f64 B) (tan.f64 B)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (tan.f64 B))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64))
(*.f64 (cos.f64 B) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) #s(literal 1 binary64)))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))

eval89.0ms (0.5%)

Memory
-28.0MiB live, 72.4MiB allocated
Compiler

Compiled 19 566 to 1 840 computations (90.6% saved)

prune92.0ms (0.6%)

Memory
11.1MiB live, 154.8MiB allocated
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New49422516
Fresh000
Picked101
Done000
Total49522517
Accuracy
100.0%
Counts
517 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.5%
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
83.5%
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
76.9%
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
83.5%
(fma.f64 F (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
73.0%
(/.f64 (-.f64 (*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (tan.f64 B) x)) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
77.5%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)))
83.4%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)))
77.5%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
76.8%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
45.4%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
52.2%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B)))
53.8%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
57.4%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
65.4%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
52.1%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
46.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
46.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B))
46.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F) (-.f64 (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B))
47.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
53.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
29.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
55.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
Compiler

Compiled 1 178 to 712 computations (39.6% saved)

simplify276.0ms (1.7%)

Memory
-34.4MiB live, 276.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 B))
cost-diff0
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
cost-diff128
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)))
cost-diff320
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 B))
cost-diff0
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
cost-diff128
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
cost-diff320
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
cost-diff128
(neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64))))
cost-diff320
(fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))
cost-diff320
(fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))))))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
cost-diff0
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))
cost-diff0
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
cost-diff0
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
cost-diff0
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
cost-diff0
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
cost-diff0
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
Rules
16 388×lower-fma.f32
16 364×lower-fma.f64
3 828×lower-*.f32
3 804×lower-*.f64
3 686×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073850
0124838
1235815
2549815
31650806
45150806
08056781
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
F
#s(literal -1/2 binary64)
(sin.f64 B)
B
(/.f64 (neg.f64 x) (tan.f64 B))
(neg.f64 x)
(tan.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))
F
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
x
#s(literal 2 binary64)
(fma.f64 F F #s(literal 2 binary64))
(neg.f64 x)
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 B B)
B
#s(literal 1 binary64)
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
F
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
x
#s(literal 2 binary64)
(fma.f64 F F #s(literal 2 binary64))
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))
(fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))))))
#s(literal 1/45 binary64)
(fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))
(*.f64 B (*.f64 x #s(literal 2/945 binary64)))
(*.f64 x #s(literal 2/945 binary64))
#s(literal 2/945 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))))
(fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))
(neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64))))
(*.f64 B (*.f64 F #s(literal -31/15120 binary64)))
(*.f64 F #s(literal -31/15120 binary64))
#s(literal -31/15120 binary64)
(*.f64 F #s(literal 7/360 binary64))
#s(literal 7/360 binary64)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(neg.f64 x)
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))
(/.f64 F (sin.f64 B))
F
(sin.f64 B)
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))
(/.f64 #s(literal 1 binary64) F)
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))
(*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))
F
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 F F #s(literal 2 binary64))
#s(literal -1/2 binary64)
(sin.f64 B)
Outputs
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 F (/.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
(/.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
F
#s(literal -1/2 binary64)
(sin.f64 B)
B
(/.f64 (neg.f64 x) (tan.f64 B))
(neg.f64 (/.f64 x (tan.f64 B)))
(neg.f64 x)
(tan.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) x) B))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(/.f64 (-.f64 (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) x) B)
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))
(-.f64 (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) x)
F
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
x
#s(literal 2 binary64)
(fma.f64 F F #s(literal 2 binary64))
(neg.f64 x)
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 B (*.f64 B #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 F (*.f64 #s(literal 1/6 binary64) (*.f64 B B)) F)) x)) B))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 B (*.f64 B #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 F (*.f64 #s(literal 1/6 binary64) (*.f64 B B)) F)) x)) B)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)))
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 B (*.f64 B #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 F (*.f64 #s(literal 1/6 binary64) (*.f64 B B)) F)) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))
(fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 B B)
B
#s(literal 1 binary64)
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
F
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
x
#s(literal 2 binary64)
(fma.f64 F F #s(literal 2 binary64))
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 B (*.f64 B #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))
(fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 B (*.f64 B #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))))) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))))))
(fma.f64 x (fma.f64 B (*.f64 B #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))))
#s(literal 1/45 binary64)
(fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))
(fma.f64 x (*.f64 B (*.f64 B #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))))
(*.f64 B (*.f64 x #s(literal 2/945 binary64)))
(*.f64 x (*.f64 B #s(literal 2/945 binary64)))
(*.f64 x #s(literal 2/945 binary64))
#s(literal 2/945 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))))
(fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))
(*.f64 F (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))
(neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64))))
(*.f64 (*.f64 F B) #s(literal 31/15120 binary64))
(*.f64 B (*.f64 F #s(literal -31/15120 binary64)))
(*.f64 F (*.f64 B #s(literal -31/15120 binary64)))
(*.f64 F #s(literal -31/15120 binary64))
#s(literal -31/15120 binary64)
(*.f64 F #s(literal 7/360 binary64))
#s(literal 7/360 binary64)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(neg.f64 x)
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(fma.f64 F (/.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(neg.f64 (/.f64 x (tan.f64 B)))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))
(*.f64 F (/.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (sin.f64 B)))
(/.f64 F (sin.f64 B))
F
(sin.f64 B)
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))
(/.f64 #s(literal 1 binary64) F)
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)))
(fma.f64 F (/.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(neg.f64 (/.f64 x (tan.f64 B)))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))
(*.f64 F (/.f64 (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)))
(*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 F (pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
F
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 F F #s(literal 2 binary64))
#s(literal -1/2 binary64)
(sin.f64 B)

localize267.0ms (1.6%)

Memory
53.2MiB live, 283.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.23046875
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy0.25
(*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))
accuracy1.5941702230758024
(/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))
accuracy19.141514385455817
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
accuracy0.1171875
(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy0.23046875
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy9.019693301314204
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))
accuracy45.47594992018158
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))
accuracy3.7031043583020584
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)))
accuracy5.386639813005771
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))))
accuracy18.523001273418224
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
accuracy28.294145663120883
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
accuracy0.109375
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))
accuracy0.5067193313924622
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
accuracy18.523001273418224
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
accuracy28.33050284817771
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
accuracy0.1171875
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
accuracy0.12890625
(/.f64 (neg.f64 x) (tan.f64 B))
accuracy0.36556625976844204
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
accuracy19.141514385455817
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
Samples
173.0ms256×0valid
Compiler

Compiled 868 to 71 computations (91.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-mult: 64.0ms (46.1% of total)
const: 17.0ms (12.3% of total)
ival-add: 16.0ms (11.5% of total)
ival-div: 15.0ms (10.8% of total)
ival-pow: 11.0ms (7.9% of total)
ival-sin: 6.0ms (4.3% of total)
ival-tan: 4.0ms (2.9% of total)
ival-neg: 4.0ms (2.9% of total)
ival-sqrt: 2.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series119.0ms (0.7%)

Memory
-18.5MiB live, 118.4MiB allocated
Counts
25 → 732
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (patch (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (patch (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B) (patch (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) (patch (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (patch (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))) (patch (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (patch (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B)) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) (tan.f64 B)) (patch (/.f64 (neg.f64 x) (tan.f64 B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (patch #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) (patch (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) (patch (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
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#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (taylor inf B) (#s(alt (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) (patch (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (taylor inf B) (#s(alt (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) (patch (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (taylor inf B) (#s(alt (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) (patch (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (taylor inf B) (#s(alt (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) (patch (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (taylor -inf B) (#s(alt (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) (patch (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (taylor -inf B) (#s(alt (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) (patch (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (taylor -inf B) (#s(alt (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) (patch (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (taylor -inf B) (#s(alt (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) (patch (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (taylor 0 F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))) (taylor 0 F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (taylor 0 F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))) (taylor 0 F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) (taylor inf F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) (taylor inf F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) (taylor inf F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1) (taylor -inf F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1) (taylor -inf F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1) (taylor -inf F) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (taylor 0 x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (taylor 0 x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (taylor 0 x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (* F (sqrt 1/2)) (sqrt (/ 1 x))) (taylor inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))) (taylor inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
Calls

183 calls:

TimeVariablePointExpression
8.0ms
F
@inf
(+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B)))
6.0ms
F
@inf
(+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))
5.0ms
F
@-inf
(+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x)))
3.0ms
F
@-inf
(+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))
2.0ms
x
@inf
(+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x)))

simplify409.0ms (2.5%)

Memory
-8.4MiB live, 517.9MiB allocated
Algorithm
egg-herbie
Rules
8 684×lower-fma.f64
8 684×lower-fma.f32
6 588×lower-+.f64
6 588×lower-+.f32
6 014×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150125093
1491524275
0844822186
Stop Event
iter limit
node limit
Counts
732 → 732
Calls
Call 1
Inputs
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
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(/ 1 F)
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)
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(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 2/945 x)))
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(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2)))))))
(* (pow B 2) (+ (* 31/15120 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 2/945 x) (+ (* 7/360 (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/45 (/ x (pow B 2)))))))
(+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))
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(+ 7/360 (+ (* 31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))))
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(+ 7/360 (+ (* -1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ 2 (* 2 x))) (pow F 2))) (+ (* -1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2)))) (pow F 4))) (+ (* -1/2 (/ (* (+ 7/360 (* 31/15120 (pow B 2))) (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3))) (pow F 6))) (+ (* 31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x)))))))
(- (+ (* -31/15120 (pow B 2)) (+ (* 2/945 (* (pow B 2) x)) (* 1/45 x))) 7/360)
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(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
(/ 1 (sin B))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))
(/ -1 (sin B))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B)))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B)))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* F (sqrt (/ 1 (+ 2 (* 2 x)))))
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))))
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))))
-1
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1)
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1)
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1)
(* F (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))))
(* (* F (sqrt 1/2)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))))
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))
Outputs
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* -1 (/ (cos B) (sin B))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(fma.f64 x (neg.f64 (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(fma.f64 x (fma.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 F (/.f64 x (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))) (neg.f64 (fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B))))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (+ (* -1 (/ (cos B) (sin B))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
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(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
(*.f64 x (-.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))
(*.f64 x (-.f64 (fma.f64 (/.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 F (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (/.f64 (cos.f64 B) (sin.f64 B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))))))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (cos.f64 B) (sin.f64 B))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(neg.f64 (*.f64 x (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sin.f64 B))) x))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(*.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sin.f64 B)))) x)) (neg.f64 x))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))))
(-.f64 (*.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)))) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
(fma.f64 F (fma.f64 (*.f64 F F) (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64))))) (sin.f64 B)) (*.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
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1
#s(literal 1 binary64)
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-1
#s(literal -1 binary64)
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(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))
(*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/16 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) (*.f64 F (/.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))))) (*.f64 x (*.f64 x x))))

rewrite286.0ms (1.7%)

Memory
45.7MiB live, 460.9MiB allocated
Rules
5 286×lower-fma.f32
5 262×lower-fma.f64
4 832×lower-*.f32
4 810×lower-*.f64
3 018×lower-pow.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073490
0124469
1508438
24014438
08085438
Stop Event
iter limit
node limit
iter limit
Counts
25 → 677
Calls
Call 1
Inputs
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B)
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))))))
(fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))
(neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)))
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)))
(/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))
(*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))
Outputs
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (/.f64 (/.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))))
(-.f64 (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 0 binary64)) (/.f64 x (tan.f64 B)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 F (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (/.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (+.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (+.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (/.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))))
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(/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F)))
(/.f64 (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1 binary64)) (sin.f64 B))
(/.f64 (neg.f64 (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (*.f64 #s(literal 1 binary64) F) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(pow.f64 (/.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 F (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) F)
(*.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(*.f64 (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B))))
(*.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F)
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) F))
(*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)))

eval398.0ms (2.4%)

Memory
-18.4MiB live, 505.4MiB allocated
Compiler

Compiled 91 591 to 5 645 computations (93.8% saved)

prune475.0ms (2.8%)

Memory
-8.9MiB live, 665.7MiB allocated
Pruning

50 alts after pruning (50 fresh and 0 done)

PrunedKeptTotal
New1 852461 898
Fresh13417
Picked505
Done000
Total1 870501 920
Accuracy
100.0%
Counts
1 920 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.0%
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
83.5%
(fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
45.5%
(fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
83.4%
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
71.9%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
49.4%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
55.9%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
47.4%
(/.f64 (fma.f64 (*.f64 F #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) (neg.f64 (/.f64 (tan.f64 B) x)) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (neg.f64 (/.f64 (tan.f64 B) x))))
83.5%
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
53.8%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (sin.f64 B)))
57.4%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal -1 binary64)) (sin.f64 B)))
65.4%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
21.3%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
58.6%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)))
25.4%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
21.4%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
47.2%
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B))
55.9%
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
28.6%
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
46.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
32.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
46.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B))
46.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F) (-.f64 (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B))
31.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
14.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)))) (neg.f64 x)) B))
32.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
17.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
29.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
28.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
30.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
17.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
34.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) B))
47.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
34.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) B))
30.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (fma.f64 (*.f64 B B) #s(literal -31/15120 binary64) #s(literal -7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B))
27.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (-.f64 (fma.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 B B) (+.f64 (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) x)) B))
30.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
21.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
23.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
28.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
30.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
18.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
31.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
47.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) #s(literal -1 binary64))))
47.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
29.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
28.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B)))))
20.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
31.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
17.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
Compiler

Compiled 2 460 to 1 364 computations (44.6% saved)

simplify473.0ms (2.8%)

Memory
49.3MiB live, 420.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)
cost-diff0
#s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B))
cost-diff0
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
cost-diff128
(*.f64 #s(literal 2 binary64) x)
cost-diff192
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
cost-diff192
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
cost-diff192
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
cost-diff320
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
cost-diff0
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
cost-diff0
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)
cost-diff0
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))
cost-diff0
(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
cost-diff0
(sin.f64 B)
cost-diff0
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
cost-diff0
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
cost-diff0
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
Rules
13 400×lower-fma.f32
13 386×lower-fma.f64
2 994×lower-*.f32
2 982×lower-*.f64
2 574×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072726
0111635
1178626
2301626
3612619
41534611
54189611
65127611
76335611
08312609
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
F
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(sin.f64 B)
B
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
(/.f64 x (tan.f64 B))
(tan.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)
#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))
(neg.f64 x)
x
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
F
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x))
F
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
#s(literal -1/2 binary64)
(*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(*.f64 F F)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(neg.f64 x)
B
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))
#s(literal 1 binary64)
(+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))
#s(literal 2 binary64)
(fma.f64 F F (*.f64 #s(literal 2 binary64) x))
F
(*.f64 #s(literal 2 binary64) x)
x
B
(/.f64 (neg.f64 x) (tan.f64 B))
(neg.f64 x)
(tan.f64 B)
Outputs
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x)))))) (/.f64 x (tan.f64 B)))
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))))
F
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x)))))
(sin.f64 B)
B
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
(/.f64 x (tan.f64 B))
(tan.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)
#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))
(neg.f64 x)
x
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))) x) B))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))) x) B)
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))) x)
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 F (sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x)))))
F
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 x)) B))
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 x)) B)
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x))
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 x))
F
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))
#s(literal -1/2 binary64)
(*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(*.f64 F (*.f64 F (sqrt.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))))))
(*.f64 F F)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
#s(literal 1 binary64)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (fma.f64 x #s(literal 8 binary64) #s(literal 8 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 x x))
#s(literal 2 binary64)
x
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 8 binary64)) #s(literal 4 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))
(neg.f64 x)
B
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))) B)) (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B))
#s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))) B))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))) B)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x))))
#s(literal 1 binary64)
(+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))
(fma.f64 F F (+.f64 #s(literal 2 binary64) (+.f64 x x)))
#s(literal 2 binary64)
(fma.f64 F F (*.f64 #s(literal 2 binary64) x))
(+.f64 (fma.f64 F F x) x)
F
(*.f64 #s(literal 2 binary64) x)
(+.f64 x x)
x
B
(/.f64 (neg.f64 x) (tan.f64 B))
(neg.f64 x)
(tan.f64 B)

localize305.0ms (1.8%)

Memory
-58.4MiB live, 324.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.265625
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)
accuracy0.5028130813924622
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))
accuracy13.421524754194621
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))))
accuracy23.73136758803038
#s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B))
accuracy3.917592656753551
(*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
accuracy6.608712122534679
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
accuracy23.969580230000574
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
accuracy26.42343492761304
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
accuracy0.02734375
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)
accuracy0.16796875
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
accuracy14.019441813983917
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
accuracy23.969580230000574
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
accuracy0
(neg.f64 x)
accuracy0.02734375
(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)
accuracy23.969580230000574
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
accuracy27.938460405060873
#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))
accuracy0.11328125
(/.f64 x (tan.f64 B))
accuracy0.1953125
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
accuracy0.21484375
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
accuracy14.019441813983917
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
Samples
201.0ms229×0valid
26.0ms27×0invalid
Compiler

Compiled 588 to 60 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 194.0ms
ival-mult: 108.0ms (55.8% of total)
ival-div: 26.0ms (13.4% of total)
ival-pow: 24.0ms (12.4% of total)
ival-add: 12.0ms (6.2% of total)
ival-sqrt: 8.0ms (4.1% of total)
ival-sin: 6.0ms (3.1% of total)
ival-tan: 5.0ms (2.6% of total)
ival-neg: 3.0ms (1.5% of total)
ival-sub: 2.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series70.0ms (0.4%)

Memory
-9.6MiB live, 89.4MiB allocated
Counts
28 → 708
Calls
Call 1
Inputs
#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (patch (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (patch (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B) (patch (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) (patch #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) (patch (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) #<representation binary64>) () ())
#s(alt (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (patch (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (patch (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (patch (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())
#s(alt #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) (patch #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (patch (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (patch #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (patch (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor 0 F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B))) (taylor 0 F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B))) (taylor 0 F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B))) (taylor 0 F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B))) (taylor inf F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B))) (taylor inf F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B))) (taylor inf F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) (taylor -inf F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) (taylor -inf F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) (taylor -inf F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) (taylor -inf F) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) (taylor 0 B) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) (taylor 0 B) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) (taylor 0 B) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) (taylor 0 x) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 2 (* 2 x))) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x)))) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 4))) (/ 1 (pow (+ 2 (* 2 x)) 3)))) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x)))) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 2 (pow F 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* x (+ (* -8 (/ x (pow (+ 2 (pow F 2)) 4))) (* 4 (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/4 (/ (+ 2 (pow F 2)) x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2)))) (* 1/4 (/ (+ 2 (pow F 2)) x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3)))) (+ (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))) #<representation binary64>) () ())) ())
Calls

177 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(* (* F F) (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2))))))
3.0ms
x
@0
(+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B)))
1.0ms
F
@0
(* (* F F) (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2))))))
1.0ms
x
@-inf
(* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))
1.0ms
x
@inf
(* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))

simplify392.0ms (2.4%)

Memory
-2.8MiB live, 465.3MiB allocated
Algorithm
egg-herbie
Rules
7 692×lower-*.f64
7 692×lower-*.f32
7 682×lower-fma.f64
7 682×lower-fma.f32
5 246×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151621275
1480920878
0854519228
Stop Event
iter limit
node limit
Counts
708 → 706
Calls
Call 1
Inputs
(* -1 (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B)))
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
(/ 1 (sin B))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))
(/ -1 (sin B))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B)))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B)))
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))
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(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(* B (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* -1/6 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))))))
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/120 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))))))))
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))) (* 1/120 (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (pow F 2))))
(+ (* (sin B) (sqrt (+ 2 (pow F 2)))) (* (* x (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2)))))
(+ (* x (+ (* x (+ (* -1/2 (* (sin B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2)))))
(* (sqrt x) (* (sin B) (sqrt 2)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2)))))))
(* -1 (* (sqrt x) (* (sin B) (* (sqrt -2) (sqrt -1)))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 3))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1)))))))))
(* (sin B) (sqrt (+ 2 (* 2 x))))
(+ (* 1/2 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (sin B) (sqrt (+ 2 (* 2 x)))))
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/8 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))))))
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/8 (* (sin B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/16 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
(* F (sin B))
(* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))))
(* -1 (* F (sin B)))
(* -1 (* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))))
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))))
B
(* B (+ 1 (* -1/6 (pow B 2))))
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B)))
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(* -1 (/ x B))
(+ (* -1 (/ x B)) (* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x))))))
(+ (* -1 (/ x B)) (* F (+ (* -1/2 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))))))
(+ (* -1 (/ x B)) (* F (+ (* (/ 1 B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
(/ (- 1 x) B)
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (/ 1 B)) (/ x B))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (/ 1 B))) (/ x B))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))) (/ 1 B)))) (/ x B))
(* -1 (/ (+ 1 x) B))
(+ (* -1 (/ (+ 1 x) B)) (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))))
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4))))))
(+ (* -1 (/ (+ 1 x) B)) (+ (* 1/2 (/ (+ 2 (* 2 x)) (* B (pow F 2)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* B (pow F 4)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* B (pow F 6)))))))
(* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* x (- (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ 1 B))) (* (/ F B) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* -1 (/ x B))
(* x (- (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3)))) (/ 1 B)))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* B (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B)))
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(* F (sqrt (/ 1 (+ 2 (* 2 x)))))
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1
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-1
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1)
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(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1)
(* F (sqrt (/ 1 (+ 2 (pow F 2)))))
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1/2
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F
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(* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (/ (* (pow F 2) (sqrt -1)) (sqrt -1/8)) (sqrt x))) (* 1/2 (* (/ (* (pow F 2) (* (sqrt -1) (+ 5/4 (* -9/256 (/ x (pow (sqrt -1/8) 2)))))) (sqrt -1/8)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -3/16 (* (/ (* (pow F 2) (sqrt -1)) (sqrt -1/8)) (sqrt (/ 1 (pow x 3))))) (* (* (pow F 2) (* (sqrt -1) (sqrt -1/8))) (sqrt (/ 1 x))))) x))
(sqrt (/ 1 (+ 2 (* 2 x))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(/ 1 F)
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)
(/ -1 F)
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F))
(sqrt (/ 1 (+ 2 (pow F 2))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))
(* (sqrt (/ 1 x)) (sqrt 1/2))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(/ 1 (+ 2 (* 2 x)))
(+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x))))
(+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x))))
(+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 4))) (/ 1 (pow (+ 2 (* 2 x)) 3)))) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x))))
(/ 1 (pow F 2))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2))
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2))
(/ 1 (pow F 2))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2))
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2))
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2))
(/ 1 (+ 2 (pow F 2)))
(+ (* -2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2))))
(+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2))))
(+ (* x (- (* x (+ (* -8 (/ x (pow (+ 2 (pow F 2)) 4))) (* 4 (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2))))
(/ 1/2 x)
(/ (+ 1/2 (* -1/4 (/ (+ 2 (pow F 2)) x))) x)
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2)))) (* 1/4 (/ (+ 2 (pow F 2)) x))) x)
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3)))) (+ (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x)))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x))
Outputs
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B)))
(fma.f64 F (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B)))
(fma.f64 F (fma.f64 (*.f64 F F) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (sin.f64 B)) (*.f64 #s(literal 3/8 binary64) (*.f64 (/.f64 (*.f64 F F) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 5 binary64))))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B)))
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(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B)))
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(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (sin.f64 B) (*.f64 F F))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)))) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(-.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sin.f64 B) (*.f64 F F))) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (sin.f64 B) (*.f64 F F))) (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 4 binary64))))) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 4 binary64)))) (/.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -3/4 binary64)))) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 6 binary64))))) (/.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sin.f64 B) (*.f64 F F)))) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F)))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 (*.f64 F #s(literal -7/360 binary64))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F)))))) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 B B) (-.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 (fma.f64 F #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 F #s(literal -7/360 binary64)) (*.f64 F #s(literal 1/720 binary64))))) (fma.f64 x #s(literal 1/105 binary64) (*.f64 (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 F #s(literal -7/360 binary64))))))) (neg.f64 x))) B)
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
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(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
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(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
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(* (sin B) (sqrt (+ 2 (* 2 x))))
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(* F (sin B))
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B
(* B (+ 1 (* -1/6 (pow B 2))))
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(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
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(sin B)
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(sin B)
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
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(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
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(* -1 x)
(neg.f64 x)
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x)
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(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x)
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(* -1 (+ 1 x))
(-.f64 #s(literal -1 binary64) x)
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ 1 x))
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(* -1 x)
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(* -1 x)
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(* F (sqrt (/ 1 (+ 2 (* 2 x)))))
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1
#s(literal 1 binary64)
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-1
#s(literal -1 binary64)
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(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1)
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4
#s(literal 4 binary64)
(+ 4 (* 8 x))
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(* 4 (pow x 2))
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(* (pow x 2) (+ 4 (* 8 (/ 1 x))))
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(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
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1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -3/8 x))
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(+ 1/8 (* x (- (* x (+ 3/4 (* -5/4 x))) 3/8)))
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(/ 1/8 (pow x 3))
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8
#s(literal 8 binary64)
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 x))
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
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(fma.f64 x (fma.f64 x (fma.f64 (*.f64 #s(literal -5/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 5 binary64)))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(* (sqrt (/ 1 x)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (fma.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(-.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x x))))
(/ 1 (+ 2 (* 2 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 2))) (/ 1 (+ 2 (* 2 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 F F) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))
(+ (* (pow F 2) (- (/ (pow F 2) (pow (+ 2 (* 2 x)) 3)) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x))))
(fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(+ (* (pow F 2) (- (* (pow F 2) (+ (* -1 (/ (pow F 2) (pow (+ 2 (* 2 x)) 4))) (/ 1 (pow (+ 2 (* 2 x)) 3)))) (/ 1 (pow (+ 2 (* 2 x)) 2)))) (/ 1 (+ 2 (* 2 x))))
(fma.f64 (*.f64 F F) (fma.f64 (*.f64 F F) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (*.f64 F F) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F))) (*.f64 F F))
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 F #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 F F)) (/.f64 #s(literal 2 binary64) (*.f64 F F))))) (*.f64 F F))
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (pow.f64 F #s(literal 6 binary64)))) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 F F)) (/.f64 #s(literal 2 binary64) (*.f64 F F))) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 F #s(literal 4 binary64))))) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 x)) (pow F 2)))) (pow F 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F))) (*.f64 F F))
(/ (- (+ 1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) (pow F 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 F #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 F F)) (/.f64 #s(literal 2 binary64) (*.f64 F F))))) (*.f64 F F))
(/ (- (+ 1 (* -1 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6)))) (+ (* -1 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2)))))) (pow F 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (pow.f64 F #s(literal 6 binary64)))) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 F F)) (/.f64 #s(literal 2 binary64) (*.f64 F F))) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 F #s(literal 4 binary64))))) (*.f64 F F))
(/ 1 (+ 2 (pow F 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))
(+ (* -2 (/ x (pow (+ 2 (pow F 2)) 2))) (/ 1 (+ 2 (pow F 2))))
(fma.f64 #s(literal -2 binary64) (/.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(+ (* x (- (* 4 (/ x (pow (+ 2 (pow F 2)) 3))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal -2 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(+ (* x (- (* x (+ (* -8 (/ x (pow (+ 2 (pow F 2)) 4))) (* 4 (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 2 (/ 1 (pow (+ 2 (pow F 2)) 2))))) (/ 1 (+ 2 (pow F 2))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -8 binary64) (/.f64 x (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 #s(literal -2 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* -1/4 (/ (+ 2 (pow F 2)) x))) x)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) x)
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2)))) (* 1/4 (/ (+ 2 (pow F 2)) x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)) x))) x)
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ 2 (pow F 2)) 3) (pow x 3)))) (+ (* -1/8 (/ (pow (+ 2 (pow F 2)) 2) (pow x 2))) (* 1/4 (/ (+ 2 (pow F 2)) x)))) x)
(/.f64 (-.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 F F #s(literal 2 binary64))) x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) x) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x))

rewrite321.0ms (1.9%)

Memory
55.2MiB live, 471.8MiB allocated
Rules
4 200×lower-/.f32
4 178×lower-/.f64
3 730×lower-fma.f32
3 716×lower-*.f32
3 716×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072510
0111431
1471404
23586403
09270389
Stop Event
iter limit
node limit
iter limit
Counts
28 → 820
Calls
Call 1
Inputs
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(sin.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
(/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)
#s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B)
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(/.f64 x (tan.f64 B))
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))
Outputs
(+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (/.f64 (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))))
(-.f64 (/.f64 (*.f64 F (tan.f64 B)) (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (tan.f64 B)))) (/.f64 (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) x)) (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (tan.f64 B)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))))
(-.f64 (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 0 binary64)) (/.f64 x (tan.f64 B)))
(fma.f64 F (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 (neg.f64 F) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 x (neg.f64 (sin.f64 B))) (cos.f64 B) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (tan.f64 B))) (-.f64 (*.f64 F (tan.f64 B)) (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (tan.f64 B))) (-.f64 (*.f64 F (tan.f64 B)) (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 F (tan.f64 B)) (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) x))) (*.f64 (sin.f64 B) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (tan.f64 B))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64))) (fma.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (neg.f64 x) (tan.f64 B))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64))) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal -3 binary64))) (+.f64 (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (/.f64 (-.f64 (*.f64 (/.f64 x (tan.f64 B)) x) (*.f64 (neg.f64 x) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (tan.f64 B))))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))) #s(literal 8 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (-.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 F F #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (sqrt.f64 (+.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1/4 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (+.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (+.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))) #s(literal 8 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (-.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (-.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 F F #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (+.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))) #s(literal -1 binary64)))

eval461.0ms (2.8%)

Memory
-8.2MiB live, 510.0MiB allocated
Compiler

Compiled 61 038 to 5 695 computations (90.7% saved)

prune892.0ms (5.4%)

Memory
-20.8MiB live, 680.4MiB allocated
Pruning

64 alts after pruning (63 fresh and 1 done)

PrunedKeptTotal
New1 617441 661
Fresh261945
Picked415
Done000
Total1 647641 711
Accuracy
100.0%
Counts
1 711 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.0%
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
45.5%
(fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
71.8%
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))))
30.0%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (tan.f64 B)))
50.2%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
31.5%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1/2 binary64) x))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
52.4%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
49.4%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
55.9%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
47.0%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
47.4%
(/.f64 (fma.f64 (*.f64 F #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) (neg.f64 (/.f64 (tan.f64 B) x)) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (neg.f64 (/.f64 (tan.f64 B) x))))
83.5%
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
58.6%
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
56.3%
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B)))
50.2%
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
72.0%
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B)))
53.8%
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
57.5%
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
21.3%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
25.4%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
21.4%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
47.2%
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B))
55.9%
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
28.6%
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
46.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
46.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B))
46.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F) (-.f64 (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B))
31.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
32.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
17.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
30.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 F (*.f64 (/.f64 F (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
25.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 x)) B))
22.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
24.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) (fma.f64 x (fma.f64 x #s(literal 3/4 binary64) #s(literal -3/8 binary64)) #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
29.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) #s(literal 1/8 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
29.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) #s(approx (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2))))) (fma.f64 #s(literal -3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
28.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
30.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
17.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
17.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B))
32.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
30.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B)))
21.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
23.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B))
28.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
30.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
34.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) B))
21.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 x (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) B))
30.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (fma.f64 (*.f64 B B) #s(literal -31/15120 binary64) #s(literal -7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B))
27.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (-.f64 (fma.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 B B) (+.f64 (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) x)) B))
30.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
11.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
25.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
31.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
31.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
47.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B)))
30.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64))))
31.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
29.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
31.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B)))))
40.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))))
28.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B)))))
20.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
17.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
Compiler

Compiled 3 009 to 1 689 computations (43.9% saved)

simplify239.0ms (1.4%)

Memory
21.9MiB live, 155.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 B)
cost-diff0
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
cost-diff0
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
cost-diff0
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
cost-diff0
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x))
cost-diff0
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
cost-diff192
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
cost-diff0
(*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
cost-diff0
#s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))
cost-diff0
(-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)
cost-diff0
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
cost-diff0
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
cost-diff0
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
cost-diff0
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
cost-diff384
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))
Rules
15 094×lower-fma.f32
15 078×lower-fma.f64
4 338×lower-*.f32
4 322×lower-*.f64
3 160×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01081015
0152999
1308987
2780978
32297957
46542957
08030929
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
F
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
(sin.f64 B)
B
(/.f64 x (tan.f64 B))
(tan.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)
(-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)
#s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))
#s(literal -1 binary64)
x
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
(/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)
#s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
x
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))
(*.f64 B B)
B
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
#s(literal -1 binary64)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x))
F
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
#s(literal -1/2 binary64)
(*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))))
(*.f64 F F)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
#s(literal 1 binary64)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
#s(literal 4 binary64)
(*.f64 x x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(neg.f64 x)
B
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
F
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(sin.f64 B)
B
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
#s(approx (/ x (tan B)) (/.f64 x B))
(/.f64 x B)
Outputs
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))
(/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)))
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
F
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
(sin.f64 B)
B
(/.f64 x (tan.f64 B))
(tan.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)
(-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)
#s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))
#s(literal -1 binary64)
x
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))) #s(literal -1 binary64)))) B))
(/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)
(/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))) #s(literal -1 binary64)))) B)
#s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))) #s(literal -1 binary64))))
(*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
x
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))
(fma.f64 B (*.f64 B (fma.f64 B (*.f64 B (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 B B)
B
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 B (*.f64 B (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
#s(literal -1 binary64)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 x)) B))
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 x)) B)
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x))
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 x))
F
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))))
#s(literal -1/2 binary64)
(*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))))
(*.f64 F (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))))
(*.f64 F F)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))
#s(literal 1 binary64)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
#s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
#s(literal 4 binary64)
(*.f64 x x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))
(neg.f64 x)
B
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 (/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)))
F
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))
(sin.f64 B)
B
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
#s(approx (/ x (tan B)) (/.f64 x B))
(/.f64 x B)

localize367.0ms (2.2%)

Memory
-9.8MiB live, 361.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1953125
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
accuracy0.21484375
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
accuracy14.019441813983917
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
accuracy23.73656388770047
#s(approx (/ x (tan B)) (/.f64 x B))
accuracy6.608712122534679
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))
accuracy23.969580230000574
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
accuracy26.42343492761304
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
accuracy37.74967041491447
#s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
accuracy0.715552168160341
(/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)
accuracy1.6216675166541292
(*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
accuracy23.355228971815592
#s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))))
accuracy23.94232658899972
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
accuracy0.00390625
(-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)
accuracy0.02734375
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)
accuracy23.969580230000574
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
accuracy42.2795934655785
#s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))
accuracy0.11328125
(/.f64 x (tan.f64 B))
accuracy0.16796875
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
accuracy1.5785452230758024
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))
accuracy14.019441813983917
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
Samples
238.0ms229×0valid
22.0ms27×0invalid
Compiler

Compiled 731 to 94 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 203.0ms
ival-mult: 109.0ms (53.7% of total)
const: 24.0ms (11.8% of total)
ival-div: 21.0ms (10.3% of total)
ival-add: 19.0ms (9.4% of total)
ival-sqrt: 7.0ms (3.4% of total)
ival-pow: 6.0ms (3% of total)
ival-sin: 5.0ms (2.5% of total)
ival-tan: 4.0ms (2% of total)
ival-neg: 4.0ms (2% of total)
ival-sub: 3.0ms (1.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series97.0ms (0.6%)

Memory
8.9MiB live, 168.3MiB allocated
Counts
25 → 696
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (patch (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (patch (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B) (patch (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) (patch (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (patch #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B) (patch (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) (patch #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B) (patch (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) (patch (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (patch (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) #<representation binary64>) () ())
#s(alt (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (patch (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (patch (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())
#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (patch #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (patch #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (tan B)) (/.f64 x B)) (patch #s(approx (/ x (tan B)) (/.f64 x B)) #<representation binary64>) () ())
Outputs
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (taylor inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (taylor inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (taylor inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (sin B)) (taylor -inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (taylor -inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B))) (taylor -inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B))) (taylor -inf F) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))) (taylor inf x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))) (taylor inf x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (taylor 0 B) (#s(alt (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (patch (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #<representation binary64>) () ())) ())
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Calls

174 calls:

TimeVariablePointExpression
17.0ms
x
@-inf
(/ (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) B)
13.0ms
x
@0
(* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1))
2.0ms
x
@inf
(/ (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) B)
1.0ms
F
@inf
(/ (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) B)
1.0ms
F
@-inf
(/ (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) B)

simplify435.0ms (2.6%)

Memory
27.4MiB live, 561.8MiB allocated
Algorithm
egg-herbie
Rules
7 560×lower-fma.f64
7 560×lower-fma.f32
7 466×lower-*.f64
7 466×lower-*.f32
4 654×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168426200
1568225250
0841223048
Stop Event
iter limit
node limit
Counts
696 → 694
Calls
Call 1
Inputs
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
(/ 1 (sin B))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))
(/ -1 (sin B))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B)))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B)))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* -1 (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B)))
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(* F (sqrt (/ 1 (+ 2 (* 2 x)))))
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))))
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))))
-1
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1)
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1)
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6))))) 1)
(* F (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))
(+ (* F (sqrt (/ 1 (+ 2 (pow F 2))))) (* x (+ (* -1 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* F (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))))
(* (* F (sqrt 1/2)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x)))))
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 x))))))
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))
(sqrt (+ 2 (pow F 2)))
(+ (sqrt (+ 2 (pow F 2))) (* x (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))))
(+ (sqrt (+ 2 (pow F 2))) (* x (+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 1/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))))
(* (sqrt x) (sqrt 2))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow (+ 2 (pow F 2)) 3) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))))
(sqrt (+ 2 (* 2 x)))
(+ (sqrt (+ 2 (* 2 x))) (* 1/2 (* (pow F 2) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* -1/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))))))
(+ (sqrt (+ 2 (* 2 x))) (* (pow F 2) (+ (* 1/2 (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 1/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
F
(* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))
(* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))
(* -1 F)
(* -1 (* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))))
(* -1 (* F (+ 1 (+ (* -1/8 (/ (pow (+ 2 (* 2 x)) 2) (pow F 4))) (+ (* 1/16 (/ (pow (+ 2 (* 2 x)) 3) (pow F 6))) (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))))))))
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(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x)))))
(* F (sqrt (/ 1 (+ 2 (* 2 x)))))
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1
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-1
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
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(* -1 x)
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(* 2/945 (* (pow B 6) x))
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(* (pow B 6) (+ (* 2/945 x) (+ (* 1/45 (/ x (pow B 2))) (* 1/3 (/ x (pow B 4))))))
(* (pow B 6) (+ (* -1 (/ x (pow B 6))) (+ (* 2/945 x) (+ (* 1/45 (/ x (pow B 2))) (* 1/3 (/ x (pow B 4)))))))
(* 2/945 (* (pow B 6) x))
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(* (pow B 6) (+ (* 2/945 x) (+ (* 1/45 (/ x (pow B 2))) (* 1/3 (/ x (pow B 4))))))
(* (pow B 6) (+ (* -1 (/ x (pow B 6))) (+ (* 2/945 x) (+ (* 1/45 (/ x (pow B 2))) (* 1/3 (/ x (pow B 4)))))))
1/2
(+ 1/2 (* -1/2 x))
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(/ 1/2 x)
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(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
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(* -1 (/ (* x (cos B)) (sin B)))
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
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(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(* B (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* -1/6 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))))))
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/120 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2))))))))))
(* B (+ (sqrt (+ 2 (+ (* 2 x) (pow F 2)))) (* (pow B 2) (+ (* -1/6 (sqrt (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))) (* 1/120 (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))))))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
(* (sin B) (sqrt (+ 2 (pow F 2))))
(+ (* (sin B) (sqrt (+ 2 (pow F 2)))) (* (* x (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2)))))
(+ (* x (+ (* x (+ (* -1/2 (* (sin B) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 1/2 (* (* x (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (sin B) (sqrt (/ 1 (+ 2 (pow F 2))))))) (* (sin B) (sqrt (+ 2 (pow F 2)))))
(* (sqrt x) (* (sin B) (sqrt 2)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2)))))))
(* -1 (* (sqrt x) (* (sin B) (* (sqrt -2) (sqrt -1)))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1))))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 3))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sin B) (* (sqrt -2) (sqrt -1)))))))))
(* (sin B) (sqrt (+ 2 (* 2 x))))
(+ (* 1/2 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (sin B) (sqrt (+ 2 (* 2 x)))))
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/8 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))))))
(+ (* (sin B) (sqrt (+ 2 (* 2 x)))) (* (pow F 2) (+ (* 1/2 (* (sin B) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow F 2) (+ (* -1/8 (* (sin B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 1/16 (* (* (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))))
(* F (sin B))
(* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))
(* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))))
(* -1 (* F (sin B)))
(* -1 (* F (+ (sin B) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2)))))))
(* -1 (* F (+ (sin B) (+ (* -1/8 (/ (* (sin B) (pow (+ 2 (* 2 x)) 2)) (pow F 4))) (+ (* 1/16 (/ (* (sin B) (pow (+ 2 (* 2 x)) 3)) (pow F 6))) (* 1/2 (/ (* (sin B) (+ 2 (* 2 x))) (pow F 2))))))))
B
(* B (+ 1 (* -1/6 (pow B 2))))
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
4
(+ 4 (* 8 x))
(+ 4 (* x (+ 8 (* 4 x))))
(+ 4 (* x (+ 8 (* 4 x))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 8 (/ 1 x))))
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 8 (/ 1 x))))
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(* (pow x 2) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(sqrt (/ 1 (+ 2 (pow F 2))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))
(* (sqrt (/ 1 x)) (sqrt 1/2))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(sqrt (/ 1 (+ 2 (* 2 x))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(/ 1 F)
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)
(/ -1 F)
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F))
(sqrt 1/8)
(+ (sqrt 1/8) (* -3/16 (/ x (sqrt 1/8))))
(+ (sqrt 1/8) (* x (- (* 1/2 (/ (* x (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (* 3/16 (/ 1 (sqrt 1/8))))))
(+ (sqrt 1/8) (* x (- (* x (+ (* -1/2 (/ (* x (+ 5/4 (* -3/16 (/ (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (* 1/2 (/ (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))))) (* 3/16 (/ 1 (sqrt 1/8))))))
(* (sqrt (/ 1 (pow x 3))) (sqrt 1/8))
(/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/8)))) (* (sqrt (/ 1 x)) (sqrt 1/8))) x)
(/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/8)))) (+ (* 3/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/8)))) (* (sqrt (/ 1 x)) (sqrt 1/8)))) x)
(/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ 5/4 (* 9/256 (/ x (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/8)))) (+ (* 3/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/8)))) (* (sqrt (/ 1 x)) (sqrt 1/8))))) x)
(* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt -1/8))))
(* -1 (/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/8)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/8)))) x))
(* -1 (/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/8)))) (+ (* 3/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt -1/8)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/8))))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt x) (/ (sqrt -1) (sqrt -1/8)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ 5/4 (* -9/256 (/ x (pow (sqrt -1/8) 2))))) (sqrt -1/8))))) (pow x 3))) (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/8)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/8))))) x))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
Outputs
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(*.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(*.f64 F (fma.f64 (*.f64 F F) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
(*.f64 F (fma.f64 (*.f64 F F) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (*.f64 (*.f64 F F) (fma.f64 #s(literal -5/16 binary64) (*.f64 (/.f64 (*.f64 F F) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64))))) (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (sin.f64 B) (*.f64 F F))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (sin.f64 B) (*.f64 F F))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (*.f64 (sin.f64 B) (pow.f64 F #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))
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(* F (sqrt (/ 1 (+ 2 (* 2 x)))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))))
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-1
#s(literal -1 binary64)
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4)))) 1)
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(* F (sqrt (/ 1 (+ 2 (pow F 2)))))
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(+ (* -1 (* (* F x) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* F (sqrt (/ 1 (+ 2 (pow F 2))))))
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(* (* F (sqrt 1/2)) (sqrt (/ 1 x)))
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(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))
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(sqrt (+ 2 (pow F 2)))
(sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))
(+ (sqrt (+ 2 (pow F 2))) (* x (sqrt (/ 1 (+ 2 (pow F 2))))))
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(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2))))
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 2)))) (* (sqrt (/ 1 x)) (sqrt 2)))))
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F
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))))
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-1
#s(literal -1 binary64)
(- (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2))) 1)
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
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(* -1 x)
(neg.f64 x)
(- (* F (sqrt (/ 1 (+ 2 (* 2 x))))) x)
(fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (neg.f64 x))
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(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x)
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(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) x)
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(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
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(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
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(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
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(* (sin B) (sqrt (+ 2 (+ (* 2 x) (pow F 2)))))
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(* (sin B) (sqrt (+ 2 (pow F 2))))
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(* (sqrt x) (* (sin B) (sqrt 2)))
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(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sin B) (+ 2 (pow F 2))) (sqrt 2)))) (* (sqrt (/ 1 x)) (* (sin B) (sqrt 2)))))
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(* (sin B) (sqrt (+ 2 (* 2 x))))
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(* F (sin B))
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(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64)) (neg.f64 F))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 F #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 F))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 F #s(literal 4 binary64)))) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -3/4 binary64)))) (pow.f64 F #s(literal 6 binary64)))) #s(literal 1 binary64)) (neg.f64 F))
(sqrt 1/8)
(sqrt.f64 #s(literal 1/8 binary64))
(+ (sqrt 1/8) (* -3/16 (/ x (sqrt 1/8))))
(fma.f64 #s(literal -3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))
(+ (sqrt 1/8) (* x (- (* 1/2 (/ (* x (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (* 3/16 (/ 1 (sqrt 1/8))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 15/32 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(+ (sqrt 1/8) (* x (- (* x (+ (* -1/2 (/ (* x (+ 5/4 (* -3/16 (/ (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (* 1/2 (/ (- 3/4 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))))) (* 3/16 (/ 1 (sqrt 1/8))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 35/64 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) (/.f64 #s(literal 15/64 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(* (sqrt (/ 1 (pow x 3))) (sqrt 1/8))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal 1/8 binary64)))
(/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/8)))) (* (sqrt (/ 1 x)) (sqrt 1/8))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/8 binary64)) (*.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal 1/8 binary64))))) x)
(/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/8)))) (+ (* 3/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/8)))) (* (sqrt (/ 1 x)) (sqrt 1/8)))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal -3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/8 binary64)))) x)
(/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ 5/4 (* 9/256 (/ x (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/8)))) (+ (* 3/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 1/8)))) (* (sqrt (/ 1 x)) (sqrt 1/8))))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (fma.f64 #s(literal 9/256 binary64) (/.f64 x #s(literal 1/8 binary64)) #s(literal 5/4 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (fma.f64 #s(literal -3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/8 binary64))))) x)
(* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt -1/8))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/8 binary64))))
(* -1 (/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/8)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/8)))) x))
(/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/8 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/8 binary64)))) (neg.f64 x))
(* -1 (/ (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/8)))) (+ (* 3/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt -1/8)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/8))))) x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/8 binary64))) (fma.f64 #s(literal -3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/8 binary64)))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt x) (/ (sqrt -1) (sqrt -1/8)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ 5/4 (* -9/256 (/ x (pow (sqrt -1/8) 2))))) (sqrt -1/8))))) (pow x 3))) (+ (* -3/16 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -1/8)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/8))))) x))
(/.f64 (-.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/8 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/8 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -9/256 binary64) (/.f64 x #s(literal -1/8 binary64)) #s(literal 5/4 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/8 binary64)))) (*.f64 x (*.f64 x x)))) (neg.f64 x))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ x B)
(/.f64 x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 B B)) x) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (*.f64 x #s(literal -1/45 binary64)) (*.f64 x #s(literal -1/3 binary64))) x) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (neg.f64 (fma.f64 x #s(literal 1/105 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64))))) (*.f64 x #s(literal -1/45 binary64))) (*.f64 x #s(literal -1/3 binary64))) x) B)
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))

rewrite578.0ms (3.5%)

Memory
-48.2MiB live, 446.5MiB allocated
Rules
4 726×lower-fma.f32
4 710×lower-fma.f64
4 674×lower-*.f32
4 658×lower-*.f64
2 220×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108789
0152743
1670711
25697711
08189673
Stop Event
iter limit
node limit
iter limit
Counts
25 → 420
Calls
Call 1
Inputs
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B)
(-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)
#s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
(/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)
#s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B)
(fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(sin.f64 B)
(/.f64 x (tan.f64 B))
#s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
#s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))
#s(approx (/ x (tan B)) (/.f64 x B))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F))) #s(literal -1 binary64)))
(neg.f64 (/.f64 F (neg.f64 (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)))))
(neg.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 (sin.f64 B))))
(neg.f64 (/.f64 (neg.f64 F) (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))
(neg.f64 (/.f64 (/.f64 (neg.f64 F) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)))
(/.f64 F (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B)))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F) (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
(/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 (sin.f64 B) F))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 (sin.f64 B) F))
(/.f64 (neg.f64 F) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))))
(/.f64 (/.f64 (neg.f64 F) (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 (sin.f64 B)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F))
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(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal -1/4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal -1/4 binary64)))
#s(approx (/ x (tan B)) (/.f64 x B))

eval213.0ms (1.3%)

Memory
-9.8MiB live, 357.6MiB allocated
Compiler

Compiled 45 531 to 3 107 computations (93.2% saved)

prune378.0ms (2.3%)

Memory
-3.0MiB live, 575.1MiB allocated
Pruning

67 alts after pruning (65 fresh and 2 done)

PrunedKeptTotal
New1 136271 163
Fresh203858
Picked415
Done011
Total1 160671 227
Accuracy
100.0%
Counts
1 227 → 67
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.0%
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
45.5%
(fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
71.8%
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))))
30.0%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (tan.f64 B)))
31.5%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1/2 binary64) x))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
52.4%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
49.4%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
55.9%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
47.0%
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
47.4%
(/.f64 (fma.f64 (*.f64 F #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) (neg.f64 (/.f64 (tan.f64 B) x)) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (neg.f64 (/.f64 (tan.f64 B) x))))
58.6%
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B)))
53.8%
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
57.5%
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
58.6%
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
36.4%
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B)))
47.4%
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
47.3%
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
30.1%
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B)))
47.3%
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (*.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))))))) #s(approx (/ x (tan B)) (/.f64 x B)))
72.0%
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B)))
46.8%
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 F (*.f64 B B)) F)) B)) #s(approx (/ x (tan B)) (/.f64 x B)))
33.8%
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
37.5%
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
25.4%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
47.2%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
55.9%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
28.6%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
12.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))))
32.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
17.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
30.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 F (*.f64 (/.f64 F (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
22.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
24.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) (fma.f64 x (fma.f64 x #s(literal 3/4 binary64) #s(literal -3/8 binary64)) #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
29.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) #s(literal 1/8 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
29.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) #s(approx (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2))))) (fma.f64 #s(literal -3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
28.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
30.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
17.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
12.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
17.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B))
32.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
21.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
23.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
21.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
23.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B))
28.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
30.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
12.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
27.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
27.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
24.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
21.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 x (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) B))
18.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
30.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (fma.f64 (*.f64 B B) #s(literal -31/15120 binary64) #s(literal -7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B))
30.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
30.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
11.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
25.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
31.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
31.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
47.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B)))
30.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64))))
31.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
29.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
31.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B)))))
40.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))))
20.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
Compiler

Compiled 4 303 to 1 330 computations (69.1% saved)

regimes170.0ms (1%)

Memory
-17.3MiB live, 277.0MiB allocated
Counts
140 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
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(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B)))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B)))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) #s(literal -1 binary64))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal -1 binary64)) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (sin.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 F (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 F #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))) (neg.f64 (/.f64 (tan.f64 B) x)) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (neg.f64 (/.f64 (tan.f64 B) x))))
(/.f64 (-.f64 (*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (tan.f64 B) x)) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
Outputs
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
Calls

4 calls:

43.0ms
F
40.0ms
x
38.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
38.0ms
B
Results
AccuracySegmentsBranch
99.7%3F
83.5%1B
83.5%1x
87.2%2(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
Compiler

Compiled 42 to 29 computations (31% saved)

regimes43.0ms (0.3%)

Memory
37.8MiB live, 81.5MiB allocated
Counts
125 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64))))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B)))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1/2 binary64) x))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B)))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B)))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) #s(literal -1 binary64))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal -1 binary64)) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (sin.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
Outputs
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
Calls

1 calls:

35.0ms
F
Results
AccuracySegmentsBranch
99.7%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes50.0ms (0.3%)

Memory
-2.7MiB live, 90.2MiB allocated
Counts
123 → 4
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
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#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal -1 binary64)) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (sin.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
Outputs
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
Calls

1 calls:

42.0ms
F
Results
AccuracySegmentsBranch
96.0%4F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes57.0ms (0.3%)

Memory
-19.6MiB live, 72.5MiB allocated
Counts
121 → 4
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B)))))
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(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B)))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B)))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) #s(literal -1 binary64))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal -1 binary64)) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(approx (* F (pow (+ (* 2 x) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (sin.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) (/.f64 x (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 F (sin.f64 B)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
Outputs
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
Calls

1 calls:

48.0ms
F
Results
AccuracySegmentsBranch
96.0%4F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes70.0ms (0.4%)

Memory
-0.7MiB live, 143.1MiB allocated
Counts
106 → 4
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B)))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1/2 binary64) x))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B)))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B)))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) #s(literal -1 binary64))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
Outputs
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

2 calls:

31.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
29.0ms
F
Results
AccuracySegmentsBranch
82.0%4(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
90.3%4F
Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes99.0ms (0.6%)

Memory
4.3MiB live, 149.7MiB allocated
Counts
105 → 4
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
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#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64))))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B)))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1/2 binary64) x))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B)))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B)))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) #s(literal -1 binary64))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 B (neg.f64 (*.f64 B (*.f64 F #s(literal -31/15120 binary64)))) (*.f64 F #s(literal 7/360 binary64)))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
Outputs
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

3 calls:

33.0ms
B
30.0ms
x
28.0ms
F
Results
AccuracySegmentsBranch
79.7%3x
72.0%1B
84.6%4F
Compiler

Compiled 12 to 9 computations (25% saved)

regimes33.0ms (0.2%)

Memory
16.3MiB live, 61.9MiB allocated
Counts
96 → 4
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64))))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B)))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1/2 binary64) x))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B)))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B)))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 F #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) #s(literal -1 binary64))))
Outputs
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

1 calls:

26.0ms
F
Results
AccuracySegmentsBranch
84.6%4F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes193.0ms (1.2%)

Memory
-34.9MiB live, 125.3MiB allocated
Counts
89 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
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#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64))))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B)))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1/2 binary64) x))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
Outputs
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

3 calls:

105.0ms
F
53.0ms
x
28.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
Results
AccuracySegmentsBranch
77.0%3x
70.9%3(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
79.0%3F
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes80.0ms (0.5%)

Memory
45.9MiB live, 137.3MiB allocated
Counts
86 → 4
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64))))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B)))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
Outputs
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

3 calls:

26.0ms
x
25.0ms
F
22.0ms
B
Results
AccuracySegmentsBranch
71.0%2B
71.0%4x
74.8%4F
Compiler

Compiled 12 to 9 computations (25% saved)

regimes31.0ms (0.2%)

Memory
0.8MiB live, 46.4MiB allocated
Counts
82 → 4
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B)))
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(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
Outputs
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

1 calls:

21.0ms
F
Results
AccuracySegmentsBranch
74.8%4F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes33.0ms (0.2%)

Memory
-6.0MiB live, 46.4MiB allocated
Counts
81 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B)))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) #s(literal 1/8 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (-.f64 (fma.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 B B) (+.f64 (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) x)) B))
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 F (*.f64 B B)) F)) B)) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (fma.f64 (*.f64 B B) #s(literal -31/15120 binary64) #s(literal -7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) (fma.f64 x (fma.f64 x #s(literal 3/4 binary64) #s(literal -3/8 binary64)) #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F) (-.f64 (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 F (*.f64 (/.f64 F (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) #s(approx (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2))))) (fma.f64 #s(literal -3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64))))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B)))))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 7/360 binary64) (*.f64 F #s(literal 1/6 binary64))) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x))) B))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
Outputs
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

1 calls:

21.0ms
F
Results
AccuracySegmentsBranch
72.5%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes92.0ms (0.6%)

Memory
6.0MiB live, 141.7MiB allocated
Counts
78 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) #s(approx (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2))))) (fma.f64 #s(literal -3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (/.f64 F B)) (/.f64 #s(literal -1 binary64) B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))) #s(literal -1 binary64))))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 F (sin.f64 B)))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (fma.f64 (*.f64 F F) (+.f64 (/.f64 (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (neg.f64 F)))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 F (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) B)) (neg.f64 (/.f64 x B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 F (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) (/.f64 x (neg.f64 B)))))
Outputs
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
Calls

4 calls:

22.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
22.0ms
B
20.0ms
x
20.0ms
F
Results
AccuracySegmentsBranch
47.4%1x
56.3%5(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
56.2%3B
68.5%3F
Compiler

Compiled 42 to 29 computations (31% saved)

regimes31.0ms (0.2%)

Memory
-7.4MiB live, 40.4MiB allocated
Counts
70 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
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#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
Outputs
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
Calls

1 calls:

26.0ms
F
Results
AccuracySegmentsBranch
62.9%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes50.0ms (0.3%)

Memory
1.7MiB live, 85.8MiB allocated
Counts
69 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 x (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) B))
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) #s(literal 1/8 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (-.f64 (fma.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 B B) (+.f64 (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) x)) B))
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 F (*.f64 B B)) F)) B)) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (fma.f64 (*.f64 B B) #s(literal -31/15120 binary64) #s(literal -7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) (fma.f64 x (fma.f64 x #s(literal 3/4 binary64) #s(literal -3/8 binary64)) #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F) (-.f64 (*.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64)) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) #s(literal 1/2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 F (*.f64 (/.f64 F (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) #s(approx (sqrt (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2))))) (fma.f64 #s(literal -3/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 x)) #s(literal -1/2 binary64)) (neg.f64 x)))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (* (+ (* 2 x) 2) (+ (* 2 x) 2)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(approx (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360))))) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
#s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (*.f64 x #s(literal 1/3 binary64))) (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) (neg.f64 x))) B))
#s(approx (- (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) x) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x))) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (fma.f64 (*.f64 B B) #s(literal -31/15120 binary64) #s(literal -7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) x))) B))
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
Calls

2 calls:

24.0ms
B
20.0ms
F
Results
AccuracySegmentsBranch
47.4%1B
56.0%3F
Compiler

Compiled 8 to 6 computations (25% saved)

regimes20.0ms (0.1%)

Memory
-13.1MiB live, 32.3MiB allocated
Counts
51 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 x (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) B))
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (*.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))))))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) #s(literal 1/8 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (-.f64 (fma.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 B B) (+.f64 (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) x)) B))
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 F (*.f64 B B)) F)) B)) #s(approx (/ x (tan B)) (/.f64 x B)))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
Calls

1 calls:

16.0ms
F
Results
AccuracySegmentsBranch
56.0%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Memory
34.0MiB live, 34.0MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 x (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) B))
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (*.f64 (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 F F)))))))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 F F) (sqrt.f64 #s(approx (/ 1 (* (+ (* 2 x) 2) (* (+ (* 2 x) 2) (+ (* 2 x) 2)))) #s(literal 1/8 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (-.f64 (fma.f64 (*.f64 B B) (+.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 B B) (+.f64 (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) x)) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
(-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
Calls

1 calls:

13.0ms
F
Results
AccuracySegmentsBranch
55.9%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.1%)

Memory
-22.6MiB live, 31.7MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B) (*.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 x (fma.f64 F (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
Calls

1 calls:

20.0ms
F
Results
AccuracySegmentsBranch
55.7%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory
-20.1MiB live, 26.7MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
Calls

1 calls:

12.0ms
F
Results
AccuracySegmentsBranch
55.7%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory
27.0MiB live, 27.0MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (/.f64 B x)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (*.f64 B (fma.f64 x (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 F (*.f64 B (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
Calls

1 calls:

11.0ms
F
Results
AccuracySegmentsBranch
55.7%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory
-27.2MiB live, 19.7MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1 binary64))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) (*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))
Calls

1 calls:

9.0ms
F
Results
AccuracySegmentsBranch
55.7%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
Calls

1 calls:

5.0ms
F
Results
AccuracySegmentsBranch
55.7%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes25.0ms (0.2%)

Memory
-1.6MiB live, 45.4MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (*.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) B) (*.f64 x B)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (*.f64 B (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F #s(approx (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/.f64 #s(literal 1 binary64) F)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))) (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64))))) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
Calls

4 calls:

8.0ms
B
5.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
5.0ms
x
5.0ms
F
Results
AccuracySegmentsBranch
35.1%3x
33.1%2B
39.9%3(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
49.6%3F
Compiler

Compiled 42 to 29 computations (31% saved)

regimes3.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)))))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
Calls

1 calls:

3.0ms
F
Results
AccuracySegmentsBranch
49.5%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
Calls

1 calls:

1.0ms
F
Results
AccuracySegmentsBranch
41.5%2F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Memory
14.3MiB live, 14.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
Calls

4 calls:

1.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
1.0ms
B
1.0ms
F
1.0ms
x
Results
AccuracySegmentsBranch
31.1%1B
31.1%1x
31.1%1(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
31.1%1F
Compiler

Compiled 42 to 29 computations (31% saved)

bsearch42.0ms (0.3%)

Memory
-51.2MiB live, 57.1MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
3.0ms
8.845155438106823e+133
1.4436804058028331e+134
34.0ms
-1.881568084779561e+124
-2.4660190713882463e+121
Samples
22.0ms144×0valid
1.0ms0invalid
Compiler

Compiled 392 to 260 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 3.0ms (16.3% of total)
ival-mult: 3.0ms (16.3% of total)
ival-sin: 3.0ms (16.3% of total)
ival-tan: 3.0ms (16.3% of total)
ival-pow: 3.0ms (16.3% of total)
ival-add: 2.0ms (10.9% of total)
ival-neg: 1.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch58.0ms (0.3%)

Memory
7.8MiB live, 101.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
36.0ms
2.875300849412195e-35
9.584982501041824e+21
16.0ms
-20106094488245844.0
-6300013697138087.0
Samples
39.0ms256×0valid
2.0ms16×0invalid
Compiler

Compiled 609 to 410 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-tan: 7.0ms (20.5% of total)
ival-mult: 6.0ms (17.6% of total)
ival-div: 5.0ms (14.7% of total)
ival-sin: 5.0ms (14.7% of total)
ival-pow: 5.0ms (14.7% of total)
ival-add: 4.0ms (11.7% of total)
ival-neg: 2.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch122.0ms (0.7%)

Memory
4.5MiB live, 98.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
2.875300849412195e-35
9.584982501041824e+21
23.0ms
1.2176762857461382e-118
2.1960440478947188e-117
44.0ms
-193977.2504925018
-1.4695974459580601e-21
Samples
67.0ms448×0valid
9.0ms64×0invalid
Compiler

Compiled 1 207 to 793 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 12.0ms (19.4% of total)
ival-tan: 11.0ms (17.8% of total)
ival-sin: 10.0ms (16.2% of total)
ival-div: 9.0ms (14.5% of total)
ival-pow: 9.0ms (14.5% of total)
ival-add: 7.0ms (11.3% of total)
ival-neg: 4.0ms (6.5% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
2.875300849412195e-35
9.584982501041824e+21
1.0ms
1.2176762857461382e-118
2.1960440478947188e-117
1.0ms
-193977.2504925018
-1.4695974459580601e-21
Samples
7.0ms48×0valid
1.0ms0invalid
Compiler

Compiled 1 131 to 736 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 1.0ms (14.9% of total)
ival-add: 1.0ms (14.9% of total)
ival-mult: 1.0ms (14.9% of total)
ival-sin: 1.0ms (14.9% of total)
ival-tan: 1.0ms (14.9% of total)
ival-pow: 1.0ms (14.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Memory
-5.0MiB live, 40.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
2.9902561342144073e+29
7.276338619543232e+30
1.0ms
1.2176762857461382e-118
2.1960440478947188e-117
1.0ms
-193977.2504925018
-1.4695974459580601e-21
Samples
21.0ms112×0valid
2.0ms12×0invalid
Compiler

Compiled 989 to 633 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-pow: 6.0ms (31.7% of total)
ival-mult: 3.0ms (15.9% of total)
ival-tan: 3.0ms (15.9% of total)
ival-div: 2.0ms (10.6% of total)
ival-add: 2.0ms (10.6% of total)
ival-sin: 2.0ms (10.6% of total)
ival-neg: 1.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Memory
-14.2MiB live, 31.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.9902561342144073e+29
7.276338619543232e+30
1.0ms
1.2176762857461382e-118
2.1960440478947188e-117
28.0ms
-7.753283274585052e+45
-2.9366525656065366e+41
Samples
21.0ms128×0valid
1.0ms10×0invalid
Compiler

Compiled 926 to 583 computations (37% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 3.0ms (18.2% of total)
ival-mult: 3.0ms (18.2% of total)
ival-tan: 3.0ms (18.2% of total)
ival-add: 2.0ms (12.1% of total)
ival-sin: 2.0ms (12.1% of total)
ival-pow: 2.0ms (12.1% of total)
ival-neg: 1.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Memory
39.4MiB live, 39.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.9902561342144073e+29
7.276338619543232e+30
1.0ms
1.2176762857461382e-118
2.1960440478947188e-117
28.0ms
-5.742303018430215e+54
-7.753283274585052e+45
Samples
21.0ms144×0valid
2.0ms12×0invalid
Compiler

Compiled 933 to 576 computations (38.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 4.0ms (21.6% of total)
ival-div: 3.0ms (16.2% of total)
ival-sin: 3.0ms (16.2% of total)
ival-tan: 3.0ms (16.2% of total)
ival-pow: 3.0ms (16.2% of total)
ival-add: 2.0ms (10.8% of total)
ival-neg: 1.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch22.0ms (0.1%)

Memory
-20.5MiB live, 24.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.9902561342144073e+29
7.276338619543232e+30
12.0ms
-2.5501472293200174e+89
-1.794894220958001e+89
Samples
9.0ms64×0valid
0.0ms0invalid
Compiler

Compiled 451 to 279 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 2.0ms (25.8% of total)
ival-div: 1.0ms (12.9% of total)
ival-add: 1.0ms (12.9% of total)
ival-sin: 1.0ms (12.9% of total)
ival-tan: 1.0ms (12.9% of total)
ival-pow: 1.0ms (12.9% of total)
ival-neg: 1.0ms (12.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch83.0ms (0.5%)

Memory
-3.1MiB live, 82.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
2.9902561342144073e+29
7.276338619543232e+30
23.0ms
2.180861755827937e-71
1.9357472540722506e-69
37.0ms
-193977.2504925018
-1.4695974459580601e-21
Samples
53.0ms288×0valid
4.0ms30×0invalid
Compiler

Compiled 1 163 to 712 computations (38.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-tan: 16.0ms (33.2% of total)
ival-mult: 7.0ms (14.5% of total)
ival-div: 6.0ms (12.4% of total)
ival-sin: 6.0ms (12.4% of total)
ival-pow: 6.0ms (12.4% of total)
ival-add: 4.0ms (8.3% of total)
ival-neg: 3.0ms (6.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.9902561342144073e+29
7.276338619543232e+30
1.0ms
2.180861755827937e-71
1.9357472540722506e-69
1.0ms
-193977.2504925018
-1.4695974459580601e-21
Compiler

Compiled 1 163 to 712 computations (38.8% saved)

bsearch20.0ms (0.1%)

Memory
25.9MiB live, 25.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.4400883518202425e+29
2.9902561342144073e+29
1.0ms
-193977.2504925018
-1.4695974459580601e-21
Samples
12.0ms80×0valid
1.0ms0invalid
Compiler

Compiled 821 to 484 computations (41% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 2.0ms (18.6% of total)
ival-mult: 2.0ms (18.6% of total)
ival-sin: 2.0ms (18.6% of total)
ival-tan: 2.0ms (18.6% of total)
ival-pow: 2.0ms (18.6% of total)
ival-add: 1.0ms (9.3% of total)
ival-neg: 1.0ms (9.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch40.0ms (0.2%)

Memory
-3.5MiB live, 41.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
1.58070425716827e-40
2.3329040250372793e-36
1.0ms
-193977.2504925018
-1.4695974459580601e-21
Samples
27.0ms128×0valid
3.0ms22×0invalid
Compiler

Compiled 945 to 558 computations (41% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-pow: 10.0ms (39.3% of total)
ival-div: 3.0ms (11.8% of total)
ival-mult: 3.0ms (11.8% of total)
ival-sin: 3.0ms (11.8% of total)
ival-tan: 3.0ms (11.8% of total)
ival-add: 2.0ms (7.9% of total)
ival-neg: 1.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.58070425716827e-40
2.3329040250372793e-36
1.0ms
-193977.2504925018
-1.4695974459580601e-21
Compiler

Compiled 1 001 to 590 computations (41.1% saved)

bsearch41.0ms (0.2%)

Memory
-9.5MiB live, 54.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.58070425716827e-40
2.3329040250372793e-36
36.0ms
-2.4942778032721215e+138
-2.735194359905322e+132
Samples
30.0ms144×0valid
Compiler

Compiled 1 157 to 651 computations (43.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sin: 11.0ms (42.1% of total)
ival-div: 3.0ms (11.5% of total)
ival-mult: 3.0ms (11.5% of total)
ival-tan: 3.0ms (11.5% of total)
ival-pow: 3.0ms (11.5% of total)
ival-add: 2.0ms (7.7% of total)
ival-neg: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch36.0ms (0.2%)

Memory
-10.4MiB live, 34.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.58070425716827e-40
2.3329040250372793e-36
33.0ms
-193977.2504925018
-1.4695974459580601e-21
Samples
26.0ms96×0valid
2.0ms13×0invalid
Compiler

Compiled 968 to 568 computations (41.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 3.0ms (22.7% of total)
ival-div: 2.0ms (15.1% of total)
ival-sin: 2.0ms (15.1% of total)
ival-tan: 2.0ms (15.1% of total)
ival-pow: 2.0ms (15.1% of total)
ival-add: 1.0ms (7.6% of total)
ival-neg: 1.0ms (7.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch69.0ms (0.4%)

Memory
12.3MiB live, 57.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.58070425716827e-40
2.3329040250372793e-36
65.0ms
-2.1263493750665415e+81
-8.776320263705695e+70
Samples
34.0ms16×0invalid
24.0ms160×0valid
Compiler

Compiled 833 to 506 computations (39.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 35.0ms (66% of total)
ival-tan: 4.0ms (7.5% of total)
ival-div: 3.0ms (5.7% of total)
ival-sin: 3.0ms (5.7% of total)
ival-pow: 3.0ms (5.7% of total)
ival-add: 2.0ms (3.8% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Memory
-4.2MiB live, 39.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.58070425716827e-40
2.3329040250372793e-36
40.0ms
-6300013697138087.0
-86408859984110.88
Samples
19.0ms16×0invalid
17.0ms112×0valid
Compiler

Compiled 593 to 374 computations (36.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-tan: 19.0ms (59.2% of total)
ival-mult: 3.0ms (9.3% of total)
ival-div: 2.0ms (6.2% of total)
ival-add: 2.0ms (6.2% of total)
ival-sin: 2.0ms (6.2% of total)
ival-pow: 2.0ms (6.2% of total)
ival-neg: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.58070425716827e-40
2.3329040250372793e-36
1.0ms
-6300013697138087.0
-86408859984110.88
Compiler

Compiled 593 to 374 computations (36.9% saved)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.58070425716827e-40
2.3329040250372793e-36
1.0ms
-6300013697138087.0
-86408859984110.88
Compiler

Compiled 563 to 359 computations (36.2% saved)

bsearch2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.58070425716827e-40
2.3329040250372793e-36
1.0ms
-6300013697138087.0
-86408859984110.88
Compiler

Compiled 533 to 329 computations (38.3% saved)

bsearch29.0ms (0.2%)

Memory
-35.0MiB live, 36.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
2.3329040250372793e-36
1.0175062449479485e-35
1.0ms
-6300013697138087.0
-86408859984110.88
Samples
21.0ms96×0valid
2.0ms12×0invalid
Compiler

Compiled 397 to 247 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (46.3% of total)
ival-div: 2.0ms (10.3% of total)
ival-sin: 2.0ms (10.3% of total)
ival-tan: 2.0ms (10.3% of total)
ival-pow: 2.0ms (10.3% of total)
ival-add: 1.0ms (5.1% of total)
ival-neg: 1.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch66.0ms (0.4%)

Memory
-0.5MiB live, 89.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
2.180861755827937e-71
1.9357472540722506e-69
38.0ms
-3.957730189268909e-63
-3.182328879697556e-64
Samples
28.0ms192×0valid
22.0ms29×0invalid
Compiler

Compiled 397 to 247 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-add: 20.0ms (45.6% of total)
ival-mult: 5.0ms (11.4% of total)
ival-div: 4.0ms (9.1% of total)
ival-sin: 4.0ms (9.1% of total)
ival-tan: 4.0ms (9.1% of total)
ival-pow: 4.0ms (9.1% of total)
ival-neg: 2.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Memory
15.5MiB live, 59.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
2.3329040250372793e-36
1.0175062449479485e-35
17.0ms
-1.9669336068372377e-61
-1.2643428031060852e-61
Samples
20.0ms112×0valid
3.0ms22×0invalid
Compiler

Compiled 243 to 156 computations (35.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 6.0ms (30.6% of total)
ival-div: 3.0ms (15.3% of total)
ival-mult: 3.0ms (15.3% of total)
ival-tan: 3.0ms (15.3% of total)
ival-add: 2.0ms (10.2% of total)
ival-pow: 2.0ms (10.2% of total)
ival-neg: 1.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
-1.9669336068372377e-61
-1.2643428031060852e-61
Compiler

Compiled 117 to 78 computations (33.3% saved)

simplify46.0ms (0.3%)

Memory
-11.5MiB live, 87.6MiB allocated
Algorithm
egg-herbie
Rules
62×+-commutative_binary64
56×*-commutative_binary64
54×sub-neg_binary64
24×neg-sub0_binary64
24×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03463534
14063532
24523532
34743532
44863532
54883532
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 F #s(literal -18500000000000000394945952859481570983081664651840652342144417656491044437093309356637383721714543626814544853076841651503104 binary64)) (fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))))
(if (<=.f64 F #s(literal -6500000000000000 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 100000000 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F #s(literal -7746191359077253/18014398509481984 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 248431204593225/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 600000 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))))))
(if (<=.f64 F #s(literal -7746191359077253/18014398509481984 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 248431204593225/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 480000 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))))))
(if (<=.f64 F #s(literal -7746191359077253/18014398509481984 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 248431204593225/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ 2 (+ (* F F) (* 2 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 619999999999999978551470194688 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))))))
(if (<=.f64 F #s(literal -5199999999999999800126692176111671070162944 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 248431204593225/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 F F (*.f64 #s(literal 2 binary64) x))))) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 619999999999999978551470194688 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))))))
(if (<=.f64 F #s(literal -2599999999999999951739915087984749730470513606656 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 248431204593225/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (-.f64 (/.f64 F #s(approx (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 B (sqrt.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 F F))))))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 619999999999999978551470194688 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))))))
(if (<=.f64 F #s(literal -229999999999999988898999560182199098659861599876225315296556075379922944157113316576067584 binary64)) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(approx (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) (/.f64 #s(literal -1 binary64) F)) B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 619999999999999978551470194688 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))))
(if (<=.f64 F #s(literal -14200 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 93248106826835/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 500000000000000009942312419328 binary64)) #s(approx (+ (* (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))))))
(if (<=.f64 F #s(literal -14200 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 93248106826835/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 500000000000000009942312419328 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)))) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B))))))
(if (<=.f64 F #s(literal -14200 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 144999999999999997253771067392 binary64)) (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (fma.f64 #s(approx (/ (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (sin B)) #s(approx (/ (sqrt (/ 1 (+ 2 (+ (* F F) (* 2 x))))) B) (/.f64 #s(literal 1 binary64) (*.f64 B F)))) F (/.f64 (neg.f64 x) (tan.f64 B)))))
(if (<=.f64 F #s(literal -14200 binary64)) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B))) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) (-.f64 #s(approx (/ F (* (sin B) (sqrt (+ (* 2 x) (+ (* F F) 2))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(approx (/ x (tan B)) (/.f64 x B)))))
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(if (<=.f64 F #s(literal -190000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))))
(if (<=.f64 F #s(literal -13499999999999999510455184713430646574231997261806129766234162224157652156416 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) (-.f64 (/.f64 F (*.f64 #s(approx (sin B) (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(approx (/ x (tan B)) (/.f64 x B))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))))
(if (<=.f64 F #s(literal -88000000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) x) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 F B) (/.f64 x (neg.f64 B))))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))))
(if (<=.f64 F #s(literal -88000000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) B) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B)) (/.f64 x B)))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))))
(if (<=.f64 F #s(literal -88000000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 F (sqrt.f64 #s(approx (/ 1 (+ (* x 2) (+ (* F F) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))))
(if (<=.f64 F #s(literal -88000000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 6884257312483485/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (-.f64 #s(literal 1 binary64) x))) B))))
(if (<=.f64 F #s(literal -88000000000000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) x) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))))
(if (<=.f64 F #s(literal -2037940770576765/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 8081502591659033/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))))
(if (<=.f64 F #s(literal -5644864350319165/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 3180227562832045/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))))
(if (<=.f64 F #s(literal -5644864350319165/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))
Outputs
(if (<=.f64 F #s(literal -18500000000000000394945952859481570983081664651840652342144417656491044437093309356637383721714543626814544853076841651503104 binary64)) (fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))))
(if (<=.f64 F #s(literal -18500000000000000394945952859481570983081664651840652342144417656491044437093309356637383721714543626814544853076841651503104 binary64)) (fma.f64 (/.f64 #s(approx (pow (+ (* 2 x) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (if (<=.f64 F #s(literal 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))))
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(if (<=.f64 F #s(literal -2037940770576765/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 8081502591659033/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (+ (* 1/6 (* B B)) 1) (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))))) (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) (+ (* B (* B (* x 2/945))) (* (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (+ (* B (neg (* B (* F -31/15120)))) (* F 7/360)))))) (* x 1/3))) (neg x))) #s(approx (* x (+ (* (* B B) (+ (* (* B B) (+ (* (* B B) 2/945) 1/45)) 1/3)) -1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))))) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))))
(if (<=.f64 F #s(literal -5644864350319165/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 3180227562832045/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))))
(if (<=.f64 F #s(literal -5644864350319165/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* F (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2))))) (neg x)) (neg.f64 x)) B))

soundness3.0s (18%)

Memory
1.1MiB live, 2 127.4MiB allocated
Rules
19 798×lower-fma.f64
19 798×lower-fma.f32
9 162×lower-fma.f64
9 162×lower-fma.f32
8 684×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02071
03767
112266
278966
0829658
0168426200
1568225250
0841223048
073490
0124469
1508438
24014438
08085438
0150125093
1491524275
0844822186
072510
0111431
1471404
23586403
09270389
0151621275
1480920878
0854519228
04964202
114844010
253783926
085743585
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 5 630 to 2 955 computations (47.5% saved)

preprocess194.0ms (1.2%)

Memory
-8.5MiB live, 216.0MiB allocated
Remove

(negabs B)

Compiler

Compiled 2 906 to 552 computations (81% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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