VandenBroeck and Keller, Equation (23)

Time bar (total: 15.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze389.0ms (2.5%)

Memory
1.0MiB live, 466.3MiB 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)

sample2.6s (17%)

Memory
81.5MiB live, 2 360.1MiB allocated
Samples
1.9s8 256×0valid
52.0ms335×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-pow: 376.0ms (23.7% of total)
ival-tan: 228.0ms (14.4% of total)
ival-div: 223.0ms (14% of total)
ival-mult: 218.0ms (13.7% of total)
ival-sin: 210.0ms (13.2% of total)
ival-neg: 158.0ms (10% of total)
ival-add: 154.0ms (9.7% of total)
exact: 10.0ms (0.6% of total)
ival-true: 7.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain585.0ms (3.8%)

Memory
-35.1MiB live, 600.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
760-0-(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))))
300-0-(*.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)))))
10-0-(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
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 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-rescue760
(*.f64 F F)overflow76
(*.f64 #s(literal 2 binary64) x)overflow1
(+.f64 (*.f64 F F) #s(literal 2 binary64))overflow76
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))overflow76
*.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*o300
+.f64(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))nan-rescue10
(*.f64 F F)overflow76
(+.f64 (*.f64 F F) #s(literal 2 binary64))overflow76
(*.f64 #s(literal 2 binary64) x)overflow1
Confusion
Predicted +Predicted -
+540
-31171
Precision
0.6352941176470588
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5400
-310171
Precision?
0.6352941176470588
Recall?
1.0
Freqs
test
numberfreq
0171
164
220
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
114.0ms512×0valid
Compiler

Compiled 382 to 84 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-div: 19.0ms (21.8% of total)
ival-mult: 17.0ms (19.5% of total)
ival-add: 12.0ms (13.8% of total)
ival-sin: 11.0ms (12.6% of total)
ival-tan: 11.0ms (12.6% of total)
ival-pow: 11.0ms (12.6% of total)
ival-neg: 5.0ms (5.7% of total)
ival-true: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)

preprocess275.0ms (1.8%)

Memory
26.7MiB live, 102.6MiB allocated
Algorithm
egg-herbie
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 (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)))
Symmetry

(negabs B)

Compiler

Compiled 27 to 20 computations (25.9% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.3%
(+.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))))))
Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify46.0ms (0.3%)

Memory
-9.5MiB live, 27.2MiB 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))
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 (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)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 (neg.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 (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 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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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)
(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
10.7MiB live, 164.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.20312500000000003
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
accuracy0.234375
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy7.321252799400628
(*.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)))))
accuracy17.853731232679916
(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
60.0ms256×0valid
Compiler

Compiled 236 to 42 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 12.0ms (25.5% of total)
ival-sin: 9.0ms (19.1% of total)
ival-mult: 6.0ms (12.8% of total)
ival-tan: 6.0ms (12.8% of total)
ival-add: 5.0ms (10.6% of total)
ival-pow: 5.0ms (10.6% of total)
ival-neg: 2.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory
9.9MiB live, 87.5MiB allocated
Counts
6 → 144
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>) () ())
Outputs
#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 (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#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 (/ (- (+ (* 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 (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>) () ())) ())
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#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 (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>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((/ 1 2) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))))
5.0ms
x
@inf
((/ 1 2) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))))
5.0ms
B
@inf
((/ 1 2) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))))
4.0ms
F
@0
((/ 1 2) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))))
3.0ms
x
@0
((/ 1 2) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))))

simplify284.0ms (1.9%)

Memory
-9.6MiB live, 237.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04774114
114543922
253063838
084853503
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(/ 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)
(/ (- (* 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 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)
(/ (* 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 (+ (* 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))))))
(* (/ 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))))))
(/ (* 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 (+ (* 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))))))
(* (/ 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)))
(+ 2 (* 2 x))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 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)))))))))
(* (/ 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)) (/ (* 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)))
(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))))))
(/ 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 (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 (+ (/ 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))))
(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))))))
(/ -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))
(/ -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)))
(/ (* 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))))))
(+ 2 (pow F 2))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 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)))))))))
(* (/ 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))))))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(* -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))))
(* 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))))
(* (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)))))
(* (/ (* 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))))))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (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)))))
(* 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 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 (* (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)))))
Outputs
(/ x B)
(/.f64 x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) B)) B 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 (fma.f64 (fma.f64 (neg.f64 B) (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 #s(literal -1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 B B) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) 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 (fma.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (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) (* (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 (fma.f64 (fma.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 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) 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) (* (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 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) 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)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 B B)) (fma.f64 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F)) 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)
(/.f64 (fma.f64 (pow.f64 B #s(literal 4 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 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))) (*.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F))) B)
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F (/.f64 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 (/.f64 #s(literal -1/2 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 3 binary64)))))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (+ (* 2 x) (pow F 2)))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(+ 2 (+ (* 2 x) (pow F 2)))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(+ 2 (+ (* 2 x) (pow F 2)))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(sqrt (/ 1 (+ 2 (* 2 x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.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 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(+ (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))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.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)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(+ (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)))))))))
(fma.f64 (pow.f64 F #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.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 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.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 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (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)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F)
(* 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)))))))))
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(* 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)))))))))))
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(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)) (fma.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sin.f64 B)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)))) (sin.f64 B)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 F (sin.f64 B))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))))

rewrite215.0ms (1.4%)

Memory
5.6MiB live, 193.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02067
03763
112262
278962
0829654
Stop Event
iter limit
node limit
iter limit
Counts
6 → 339
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)))))
Outputs
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eval74.0ms (0.5%)

Memory
-11.2MiB live, 147.1MiB allocated
Compiler

Compiled 17 450 to 1 809 computations (89.6% saved)

prune66.0ms (0.4%)

Memory
-8.4MiB live, 76.2MiB allocated
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New45726483
Fresh000
Picked101
Done000
Total45826484
Accuracy
100.0%
Counts
484 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.3%
(fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (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)))
79.2%
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (*.f64 (cos.f64 B) (neg.f64 x)) (*.f64 (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))))
85.2%
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (pow.f64 F #s(literal -1 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
85.2%
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
79.3%
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (*.f64 (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))))
85.3%
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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)))
85.3%
(fma.f64 (neg.f64 F) (*.f64 (/.f64 #s(literal -1 binary64) (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 (neg.f64 x) (tan.f64 B)))
79.3%
(+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) (*.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))))))
79.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)))
85.1%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F))))
79.3%
(+.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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
52.5%
(+.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))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.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 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
49.9%
(+.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))))
79.3%
(+.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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
53.4%
(+.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 (*.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
53.2%
(+.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 #s(literal 1 binary64) (sin.f64 B))))
55.5%
(+.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))))
67.4%
(+.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 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
55.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
43.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
43.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.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 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B))
43.5%
#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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
43.8%
#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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
53.2%
#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 (cos.f64 B) (/.f64 x (sin.f64 B)))))
28.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
55.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
Compiler

Compiled 1 260 to 882 computations (30% saved)

simplify145.0ms (1%)

Memory
39.0MiB live, 146.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F))))
cost-diff320
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)))
cost-diff0
(sin.f64 B)
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 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(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
cost-diff7104
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.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)))) #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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
cost-diff320
(/.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)
cost-diff320
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))
cost-diff0
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
cost-diff0
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
cost-diff0
(neg.f64 F)
cost-diff0
(*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))
cost-diff448
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062557
0101547
1178534
2331526
3695526
41291524
52311522
64281520
76229517
87114517
97881517
08040514
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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)))
(*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(neg.f64 F)
F
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 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))
#s(literal -1/2 binary64)
(/.f64 #s(literal -1 binary64) (sin.f64 B))
#s(literal -1 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))
(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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
F
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) 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
#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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))
(/.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)
(*.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F))
(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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
F
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)
(*.f64 B B)
(*.f64 #s(literal 1/6 binary64) F)
#s(literal 1/6 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) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)
B
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(cos.f64 B)
(/.f64 x (sin.f64 B))
x
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 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 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)))
(/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F))
(sin.f64 B)
(*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 F F #s(literal 2 binary64))
F
#s(literal -1/2 binary64)
Outputs
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.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))
(neg.f64 F)
F
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
x
#s(literal 2 binary64)
(fma.f64 F F #s(literal 2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal -1 binary64) (sin.f64 B))
#s(literal -1 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (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 (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))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
#s(literal 1 binary64)
(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)))
F
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) B) F (/.f64 F B)))) (/.f64 x (tan.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 (neg.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
#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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) 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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) B) F (/.f64 F B))))
(/.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) B) F (/.f64 F B)))
(*.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (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 F F (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 (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))))
(/.f64 #s(literal 1 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)))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
F
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)
(*.f64 B B)
(*.f64 #s(literal 1/6 binary64) F)
#s(literal 1/6 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) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64)) (sin.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64)) (sin.f64 B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)
B
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(cos.f64 B)
(/.f64 x (sin.f64 B))
x
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F))))
(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)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 (neg.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 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)))
(*.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 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F))
(/.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)))
(sin.f64 B)
(*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)
(*.f64 (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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(fma.f64 x #s(literal 2 binary64) (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)
(fma.f64 F F #s(literal 2 binary64))
F
#s(literal -1/2 binary64)

localize421.0ms (2.8%)

Memory
8.8MiB live, 523.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.234375
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy0.29296875
(*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)
accuracy0.37901993981782683
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)))
accuracy17.853731232679916
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
accuracy0.1328125
(/.f64 x (sin.f64 B))
accuracy0.14453125
(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy0.171875
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
accuracy29.849966418311112
#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 (cos.f64 B) (/.f64 x (sin.f64 B)))))
accuracy4.940841380281353
(*.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F))
accuracy11.149674143273296
(/.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)
accuracy16.28616314553794
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
accuracy30.824888142755018
#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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))
accuracy0.24999724760556022
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
accuracy1.228777511842482
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
accuracy16.28616314553794
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
accuracy31.578376021784134
#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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
accuracy0.13671875
(/.f64 (neg.f64 x) (tan.f64 B))
accuracy0.14453125
(/.f64 #s(literal -1 binary64) (sin.f64 B))
accuracy0.29296875
(*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))
accuracy17.853731232679916
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
Samples
329.0ms256×0valid
Compiler

Compiled 1 032 to 103 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-mult: 44.0ms (22.4% of total)
ival-tan: 40.0ms (20.3% of total)
ival-div: 30.0ms (15.3% of total)
ival-add: 26.0ms (13.2% of total)
ival-pow: 16.0ms (8.1% of total)
ival-cos: 13.0ms (6.6% of total)
ival-sin: 9.0ms (4.6% of total)
ival-neg: 7.0ms (3.6% of total)
const: 6.0ms (3.1% of total)
ival-sqrt: 3.0ms (1.5% of total)
ival-sub: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series151.0ms (1%)

Memory
-36.1MiB live, 174.7MiB allocated
Counts
27 → 720
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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))) (patch (fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (patch (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 F) (patch (neg.f64 F) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) (patch (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #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 (*.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B) (patch (/.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B) #<representation binary64>) () ())
#s(alt (+.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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))) (patch (+.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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))) #<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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))) (patch #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 (cos.f64 B) (/.f64 x (sin.f64 B))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal -1 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (patch (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)) (patch #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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)) #<representation binary64>) () ())
#s(alt (*.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) (patch (*.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) (patch (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) (patch (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) #<representation binary64>) () ())
Outputs
#s(alt (/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) (taylor 0 B) (#s(alt (fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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))) (patch (fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (+ (* 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))))) B) (taylor 0 B) (#s(alt (fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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))) (patch (fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (+ (* 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))))))))) B) (taylor 0 B) (#s(alt (fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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))) (patch (fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (+ (* 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)))))))))))))) B) (taylor 0 B) (#s(alt (fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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))) (patch (fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt #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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) 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 #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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
23.0ms
F
@-inf
((+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (sin B)) (sin B) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)))) (/ -1 (sin B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (+ (* F F) (+ (* 2 x) 2)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (* (cos B) (/ x (sin B))) (/ x (sin B)) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))
12.0ms
B
@0
((+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (sin B)) (sin B) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)))) (/ -1 (sin B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (+ (* F F) (+ (* 2 x) 2)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (* (cos B) (/ x (sin B))) (/ x (sin B)) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))
12.0ms
B
@inf
((+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (sin B)) (sin B) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)))) (/ -1 (sin B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (+ (* F F) (+ (* 2 x) 2)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (* (cos B) (/ x (sin B))) (/ x (sin B)) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))
10.0ms
B
@-inf
((+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (sin B)) (sin B) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)))) (/ -1 (sin B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (+ (* F F) (+ (* 2 x) 2)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (* (cos B) (/ x (sin B))) (/ x (sin B)) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))
9.0ms
F
@inf
((+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (sin B)) (sin B) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)))) (/ -1 (sin B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (+ (* F F) (+ (* 2 x) 2)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (* (cos B) (/ x (sin B))) (/ x (sin B)) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))

simplify322.0ms (2.1%)

Memory
27.8MiB live, 334.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132221113
1424220454
0849118852
Stop Event
iter limit
node limit
Counts
720 → 719
Calls
Call 1
Inputs
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* -1 x) (+ (* 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))))) B)
(/ (+ (* -1 x) (+ (* 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))))))))) B)
(/ (+ (* -1 x) (+ (* 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)))))))))))))) 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 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) 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)
(* (/ 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)
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* 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)))))) 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)
(* -1 (/ x B))
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (* -1/6 x)) (* -1/2 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))) (* 1/24 x))))) (* -1/2 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/120 x) (* (pow B 2) (- (+ 31/15120 (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))) (* -1/720 x)))))) (* 1/24 x))))) (* -1/2 x)))) x) 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)
(/ 1 B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
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))))
(* (/ 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 (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)
(/ -1 B)
(/ (- (* -1/6 (pow B 2)) 1) B)
(/ (- (* (pow B 2) (- (* -7/360 (pow B 2)) 1/6)) 1) B)
(/ (- (* (pow B 2) (- (* (pow B 2) (- (* -31/15120 (pow B 2)) 7/360)) 1/6)) 1) B)
(* -1 (/ x B))
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))) 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 (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)))))))
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (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)))))))
(/ x B)
(/ (+ x (* (pow B 2) (- (* -1/2 x) (* -1/6 x)))) B)
(/ (+ x (* (pow B 2) (- (+ (* -1/2 x) (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))) B)
(/ (+ x (* (pow B 2) (- (+ (* -1/2 x) (* (pow B 2) (- (+ (* 1/24 x) (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))) B)
(/ x B)
(/ (+ x (* 1/6 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B)
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ 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) (pow F 2)))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ 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) (pow F 2)))))))
(- (* (/ 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) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))
(- (* (/ 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)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* 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 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(sin B)
(sin B)
(sin B)
(sin 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)))))) (/ (* 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 (sin B))
(/ -1 (sin B))
(/ -1 (sin B))
(/ -1 (sin B))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
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(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(* (* 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))))))
(* -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)))))
(* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))
(+ (* -1 (* (* 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 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* 1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3)))))))
(+ (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) (+ (* -1 (/ (+ (* -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)))) (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (* 1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3)))))))
(* (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 (/ (* 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)))))
(* -1 (/ x B))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -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)))) x)))))
(* -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)))))
(* (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)))))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))))
(* -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)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (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) (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 (/ (* 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)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/ 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))
(* 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)))
(* (/ (* 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)))))
(* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F)))))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))))))
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 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))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))))))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(* (* 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
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ (+ (* -1 x) (+ (* 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))))) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)
(/ (+ (* -1 x) (+ (* 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))))))))) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (-.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 F #s(literal -7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (neg.f64 x))) B)
(/ (+ (* -1 x) (+ (* 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)))))))))))))) B)
(/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (neg.f64 (*.f64 F #s(literal -7/360 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/45 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 (fma.f64 F #s(literal 1/840 binary64) (*.f64 (*.f64 F #s(literal -7/360 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))) (*.f64 B B)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F)) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) 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)
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(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) F)
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) 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))))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) F)
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
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(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (fma.f64 (fma.f64 (*.f64 (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 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (fma.f64 (fma.f64 (*.f64 (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 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (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)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F)
(* 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 (fma.f64 (fma.f64 (*.f64 (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 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F)
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 (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)) #s(literal 3/8 binary64) (*.f64 (/.f64 (*.f64 (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 F F)) (sin.f64 B)) #s(literal -5/16 binary64))) (*.f64 F F) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F)
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (fma.f64 (fma.f64 (*.f64 (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 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(/ 1 (+ 2 (* 2 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #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 #s(literal 2 binary64) x #s(literal 2 binary64))) (/.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) 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 (/.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #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 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 F F) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 F F) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 F F) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (+ (* 2 x) (pow F 2)))
(+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64))
(+ 2 (+ (* 2 x) (pow F 2)))
(+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64))
(+ 2 (+ (* 2 x) (pow F 2)))
(+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (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)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F)
(* 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 (fma.f64 (fma.f64 (*.f64 (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 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F)
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 (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)) #s(literal 3/8 binary64) (*.f64 (/.f64 (*.f64 (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 F F)) (sin.f64 B)) #s(literal -5/16 binary64))) (*.f64 F F) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F)
(* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(* F (+ (* -1/2 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.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 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)))) F)
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) (*.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))))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)))) F)
(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
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(* F (sqrt (/ 1 (+ 2 (* 2 x)))))
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(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/ x (sin B))
(/.f64 x (sin.f64 B))
(/ x (sin B))
(/.f64 x (sin.f64 B))
(/ x (sin B))
(/.f64 x (sin.f64 B))
(/ x (sin B))
(/.f64 x (sin.f64 B))
(* (* 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 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 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64))))

rewrite208.0ms (1.4%)

Memory
19.6MiB live, 242.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062401
0101381
1406341
23302341
08241341
Stop Event
iter limit
node limit
iter limit
Counts
27 → 1 052
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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)))
(*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(neg.f64 F)
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
#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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.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 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(sin.f64 B)
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F))))
(/.f64 #s(literal -1 binary64) (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))
(*.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x (sin.f64 B))
(*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)
Outputs
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eval405.0ms (2.6%)

Memory
1.9MiB live, 792.3MiB allocated
Compiler

Compiled 75 328 to 6 709 computations (91.1% saved)

prune147.0ms (1%)

Memory
16.5MiB live, 298.5MiB allocated
Pruning

51 alts after pruning (51 fresh and 0 done)

PrunedKeptTotal
New2 240462 286
Fresh16521
Picked505
Done000
Total2 261512 312
Accuracy
100.0%
Counts
2 312 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.2%
(fma.f64 (pow.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64)) F (/.f64 (neg.f64 x) (tan.f64 B)))
85.2%
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)))
54.8%
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
52.5%
(fma.f64 (*.f64 (neg.f64 F) #s(approx (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.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 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
85.3%
(fma.f64 (*.f64 (neg.f64 F) #s(approx (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
55.6%
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
85.3%
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) F) (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))
85.3%
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
85.3%
(-.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)))
53.5%
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B)) (/.f64 x (tan.f64 B)))
53.4%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) #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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
79.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)))
49.9%
(+.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))))
32.9%
(+.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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
35.3%
(+.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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
33.9%
(+.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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
67.4%
(+.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 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
43.2%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
43.3%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
55.5%
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
44.0%
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
28.8%
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
55.6%
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
53.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (pow.f64 (sin.f64 B) #s(literal -1 binary64))))
43.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.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 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B))
43.5%
#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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F F) (+ (* 2 x) 2)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
15.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
26.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
25.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B))
27.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x)) (neg.f64 (sin.f64 B)))))
43.8%
#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))
53.2%
#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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
17.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
23.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B))
26.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
25.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
19.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
26.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
43.7%
#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 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
53.3%
#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 x (tan.f64 B))))
53.2%
#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 (cos.f64 B) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 B))))))
30.5%
#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)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
53.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
18.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
23.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
30.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (neg.f64 x) B))))
17.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
26.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/6 binary64)) (*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)) #s(literal 7/360 binary64)) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 B B))) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)))
26.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)))
14.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
Compiler

Compiled 1 954 to 1 514 computations (22.5% saved)

simplify218.0ms (1.4%)

Memory
-2.9MiB live, 148.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 B)
cost-diff0
(/.f64 #s(literal -1 binary64) (sin.f64 B))
cost-diff0
#s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64))
cost-diff192
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
cost-diff0
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
cost-diff320
(fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B)))
cost-diff320
(/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)
cost-diff704
(fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64)))
cost-diff0
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x)))
cost-diff0
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
cost-diff256
(fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))
cost-diff0
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 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 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))
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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085738
0130726
1225708
2396675
3932667
42397650
56067650
08387639
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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1/2 binary64) F)
#s(literal 1/2 binary64)
F
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
B
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B))
(/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)
(fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))
(fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B)))
x
#s(literal 1/45 binary64)
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64)))
#s(literal -1/3 binary64)
(*.f64 x #s(literal 1/45 binary64))
(*.f64 x #s(literal 1/105 binary64))
#s(literal 1/105 binary64)
(*.f64 B B)
B
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(neg.f64 x)
#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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))
(/.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)
(*.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F))
(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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
F
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)
(*.f64 #s(literal 1/6 binary64) F)
#s(literal 1/6 binary64)
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (sin.f64 B))
#s(literal -1 binary64)
(sin.f64 B)
B
(/.f64 (neg.f64 x) (tan.f64 B))
(neg.f64 x)
x
(tan.f64 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 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.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 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(/.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 x #s(literal 2 binary64) (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))))
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) #s(literal -1 binary64)))) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) #s(literal -1 binary64)))) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) F)
#s(literal 1/2 binary64)
F
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
x
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
B
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(+.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 x (fma.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 2/945 binary64) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))) B (/.f64 (neg.f64 x) B))))
#s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B))
#s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 x (fma.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 2/945 binary64) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))) B (/.f64 (neg.f64 x) B)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)
(fma.f64 (*.f64 x (fma.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 2/945 binary64) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))) B (/.f64 (neg.f64 x) B))
(fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))
(fma.f64 (*.f64 x (fma.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 2/945 binary64) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))) (*.f64 B B) (neg.f64 x))
(fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 x (fma.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 2/945 binary64) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))))
(fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B)))
(*.f64 x (fma.f64 #s(literal 2/945 binary64) (*.f64 B B) #s(literal 1/45 binary64)))
x
#s(literal 1/45 binary64)
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))
(*.f64 (*.f64 #s(literal 2/945 binary64) (*.f64 B B)) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64)))
(*.f64 #s(literal 2/945 binary64) x)
#s(literal -1/3 binary64)
(*.f64 x #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) x)
(*.f64 x #s(literal 1/105 binary64))
(*.f64 #s(literal 1/105 binary64) x)
#s(literal 1/105 binary64)
(*.f64 B B)
B
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(neg.f64 x)
#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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) B) (sqrt.f64 (/.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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) 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)))))
(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 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))))
#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)))
F
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)
(*.f64 #s(literal 1/6 binary64) F)
#s(literal 1/6 binary64)
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(neg.f64 (+.f64 (/.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))))
#s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (sin.f64 B))
#s(literal -1 binary64)
(sin.f64 B)
B
(/.f64 (neg.f64 x) (tan.f64 B))
(neg.f64 x)
x
(tan.f64 B)

localize350.0ms (2.3%)

Memory
-9.6MiB live, 293.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
accuracy0.13671875
(/.f64 (neg.f64 x) (tan.f64 B))
accuracy0.14453125
(/.f64 #s(literal -1 binary64) (sin.f64 B))
accuracy44.74213694077571
#s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64))
accuracy11.149674143273296
(/.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)
accuracy16.28616314553794
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
accuracy30.824888142755018
#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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))
accuracy31.57151218714606
#s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B))
accuracy0.109375
(fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))
accuracy0.24448078574371018
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)
accuracy31.578376021784134
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
accuracy39.44452025785034
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x)))
accuracy0
(neg.f64 x)
accuracy0.02734375
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)
accuracy28.222369518936233
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))
accuracy31.578376021784134
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
accuracy0.1328125
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
accuracy0.13671875
(/.f64 x (tan.f64 B))
accuracy0.203125
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))
accuracy17.8410398915891
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
Samples
240.0ms256×0valid
Compiler

Compiled 1 146 to 133 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-add: 75.0ms (39% of total)
ival-mult: 41.0ms (21.3% of total)
ival-div: 22.0ms (11.4% of total)
const: 21.0ms (10.9% of total)
ival-pow: 11.0ms (5.7% of total)
ival-sin: 6.0ms (3.1% of total)
ival-tan: 5.0ms (2.6% of total)
ival-sqrt: 4.0ms (2.1% of total)
ival-neg: 4.0ms (2.1% of total)
ival-sub: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series200.0ms (1.3%)

Memory
-10.2MiB live, 110.1MiB allocated
Counts
27 → 720
Calls
Call 1
Inputs
#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 (/.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 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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) (patch (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) (patch #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) 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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B) (patch (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (patch (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (patch (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))) (patch (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())
#s(alt #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (patch #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 B)) #<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>) () ())
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#s(alt (/.f64 (neg.f64 x) (tan.f64 B)) (patch (/.f64 (neg.f64 x) (tan.f64 B)) #<representation binary64>) () ())
Outputs
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#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) #<representation binary64>) () ())) ())
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#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 #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
52.0ms
x
@-inf
((- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg x) (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (+ (* -1/3 (* x 1/45)) (* x 1/105)) (/ (+ (* (+ (* (+ (* x 1/45) (* (+ (* -1/3 (* x 1/45)) (* x 1/105)) (* B B))) (* B B)) (* 1/3 x)) (* B B)) (neg x)) B) (+ (* x 1/45) (* (+ (* -1/3 (* x 1/45)) (* x 1/105)) (* B B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B)) (sin B) (/ x (tan B)) (/ (+ (* 2 x) 2) F) (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/ (neg x) (tan B)))
45.0ms
B
@inf
((- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg x) (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (+ (* -1/3 (* x 1/45)) (* x 1/105)) (/ (+ (* (+ (* (+ (* x 1/45) (* (+ (* -1/3 (* x 1/45)) (* x 1/105)) (* B B))) (* B B)) (* 1/3 x)) (* B B)) (neg x)) B) (+ (* x 1/45) (* (+ (* -1/3 (* x 1/45)) (* x 1/105)) (* B B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B)) (sin B) (/ x (tan B)) (/ (+ (* 2 x) 2) F) (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/ (neg x) (tan B)))
6.0ms
x
@inf
((- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg x) (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (+ (* -1/3 (* x 1/45)) (* x 1/105)) (/ (+ (* (+ (* (+ (* x 1/45) (* (+ (* -1/3 (* x 1/45)) (* x 1/105)) (* B B))) (* B B)) (* 1/3 x)) (* B B)) (neg x)) B) (+ (* x 1/45) (* (+ (* -1/3 (* x 1/45)) (* x 1/105)) (* B B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B)) (sin B) (/ x (tan B)) (/ (+ (* 2 x) 2) F) (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/ (neg x) (tan B)))
5.0ms
x
@0
((- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg x) (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (+ (* -1/3 (* x 1/45)) (* x 1/105)) (/ (+ (* (+ (* (+ (* x 1/45) (* (+ (* -1/3 (* x 1/45)) (* x 1/105)) (* B B))) (* B B)) (* 1/3 x)) (* B B)) (neg x)) B) (+ (* x 1/45) (* (+ (* -1/3 (* x 1/45)) (* x 1/105)) (* B B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B)) (sin B) (/ x (tan B)) (/ (+ (* 2 x) 2) F) (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/ (neg x) (tan B)))
4.0ms
B
@-inf
((- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg x) (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (+ (* -1/3 (* x 1/45)) (* x 1/105)) (/ (+ (* (+ (* (+ (* x 1/45) (* (+ (* -1/3 (* x 1/45)) (* x 1/105)) (* B B))) (* B B)) (* 1/3 x)) (* B B)) (neg x)) B) (+ (* x 1/45) (* (+ (* -1/3 (* x 1/45)) (* x 1/105)) (* B B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B)) (sin B) (/ x (tan B)) (/ (+ (* 2 x) 2) F) (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/ (neg x) (tan B)))

simplify345.0ms (2.3%)

Memory
3.0MiB live, 233.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120220689
1392020127
0858718384
Stop Event
iter limit
node limit
Counts
720 → 718
Calls
Call 1
Inputs
(/ (- (* 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 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 (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 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) 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 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(* -1 (/ x B))
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)))) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* 1/45 x) (* (pow B 2) (+ (* -1/135 x) (* 1/105 x)))))))) B)
(* 1/45 x)
(+ (* 1/45 x) (* (pow B 2) (+ (* -1/135 x) (* 1/105 x))))
(+ (* 1/45 x) (* (pow B 2) (+ (* -1/135 x) (* 1/105 x))))
(+ (* 1/45 x) (* (pow B 2) (+ (* -1/135 x) (* 1/105 x))))
(/ (- (* 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)
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* -1 x) (+ (* 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))))) B)
(/ (+ (* -1 x) (+ (* 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))))))))) B)
(/ (+ (* -1 x) (+ (* 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)))))))))))))) B)
(/ -1 B)
(/ (- (* -1/6 (pow B 2)) 1) B)
(/ (- (* (pow B 2) (- (* -7/360 (pow B 2)) 1/6)) 1) B)
(/ (- (* (pow B 2) (- (* (pow B 2) (- (* -31/15120 (pow B 2)) 7/360)) 1/6)) 1) B)
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))))
(/ 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)
(* -1 (/ x B))
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) 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 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)
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(* -1 (/ x B))
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 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))))))
(* (/ 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)))))) (/ (* 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) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) 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 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(* (pow B 5) (+ (* -1/135 x) (* 1/105 x)))
(* (pow B 5) (+ (* -1/135 x) (+ (* 1/105 x) (* 1/45 (/ x (pow B 2))))))
(* (pow B 5) (+ (* -1/135 x) (+ (* 1/105 x) (+ (* 1/45 (/ x (pow B 2))) (* 1/3 (/ x (pow B 4)))))))
(* (pow B 5) (+ (* -1 (/ x (pow B 6))) (+ (* -1/135 x) (+ (* 1/105 x) (+ (* 1/45 (/ x (pow B 2))) (* 1/3 (/ x (pow B 4))))))))
(* (pow B 2) (+ (* -1/135 x) (* 1/105 x)))
(* (pow B 2) (+ (* -1/135 x) (+ (* 1/105 x) (* 1/45 (/ x (pow B 2))))))
(* (pow B 2) (+ (* -1/135 x) (+ (* 1/105 x) (* 1/45 (/ x (pow B 2))))))
(* (pow B 2) (+ (* -1/135 x) (+ (* 1/105 x) (* 1/45 (/ x (pow B 2))))))
(- (* (/ 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) (pow F 2)))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ 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) (pow F 2)))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(/ -1 (sin B))
(/ -1 (sin B))
(/ -1 (sin B))
(/ -1 (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))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin 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))))))
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* 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))))))
(* (/ 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)))))) (/ (* 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) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) 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 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(* (pow B 5) (+ (* -1/135 x) (* 1/105 x)))
(* -1 (* (pow B 5) (+ (* -1 (+ (* -1/135 x) (* 1/105 x))) (* -1/45 (/ x (pow B 2))))))
(* -1 (* (pow B 5) (+ (* -1 (+ (* -1/135 x) (* 1/105 x))) (+ (* -1/3 (/ x (pow B 4))) (* -1/45 (/ x (pow B 2)))))))
(* -1 (* (pow B 5) (+ (* -1 (+ (* -1/135 x) (* 1/105 x))) (+ (* -1/3 (/ x (pow B 4))) (+ (* -1/45 (/ x (pow B 2))) (/ x (pow B 6)))))))
(* (pow B 2) (+ (* -1/135 x) (* 1/105 x)))
(* (pow B 2) (+ (* -1/135 x) (+ (* 1/105 x) (* 1/45 (/ x (pow B 2))))))
(* (pow B 2) (+ (* -1/135 x) (+ (* 1/105 x) (* 1/45 (/ x (pow B 2))))))
(* (pow B 2) (+ (* -1/135 x) (+ (* 1/105 x) (* 1/45 (/ x (pow B 2))))))
(- (* (/ 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) (pow F 2)))))))
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1
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F
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(* -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)))))
(* -1 (/ x B))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -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)))) x)))))
(* -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)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (- 1 (/ 1 (pow F 2)))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (/ 1 (pow F 2)) 1) x))) (/ 1 (pow F 2)))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (/ 1 (pow F 2)) 1) x))) (/ 1 (pow F 2)))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (/ 1 (pow F 2)) 1) x))) (/ 1 (pow F 2)))))
(* -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)))))
(* -1 (/ x B))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -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)))) x)))))
(* -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)))))
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* -1 (/ (* x (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))) B))
(* -1 (/ (* x (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))) B))
(* -1 (/ (* x (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))) B))
(* -1 (/ (* x (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3)))) B))
(* -1 (* x (- (* -2/945 (pow B 2)) 1/45)))
(* -1 (* x (- (* -2/945 (pow B 2)) 1/45)))
(* -1 (* x (- (* -2/945 (pow B 2)) 1/45)))
(* -1 (* x (- (* -2/945 (pow B 2)) 1/45)))
(* -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)))))
(* -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)))))
(* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))
(+ (* -1 (* (* 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 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* 1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3)))))))
(+ (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) (+ (* -1 (/ (+ (* -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)))) (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x)))) (pow x 3))) (* 1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3)))))))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(* 2 (/ x F))
(* x (+ (* 2 (/ 1 F)) (* 2 (/ 1 (* F x)))))
(* x (+ (* 2 (/ 1 F)) (* 2 (/ 1 (* F x)))))
(* x (+ (* 2 (/ 1 F)) (* 2 (/ 1 (* F x)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* (/ (* 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)))))
(* (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) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
Outputs
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.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))))) 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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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))))) 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) (* (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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) 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 (*.f64 #s(literal 1/45 binary64) x) (*.f64 (*.f64 F #s(literal -7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.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))))) 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) (* (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 (fma.f64 (fma.f64 (neg.f64 (*.f64 F #s(literal -7/360 binary64))) (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 (fma.f64 #s(literal 1/105 binary64) x (*.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/45 binary64) x))) (*.f64 (fma.f64 F #s(literal 1/840 binary64) (*.f64 (*.f64 F #s(literal -7/360 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 #s(literal 1/45 binary64) x))) (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x))) (*.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))))) F (neg.f64 x))) B)
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F)) 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)
(/.f64 (fma.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) F (neg.f64 (*.f64 (*.f64 F #s(literal -7/360 binary64)) (*.f64 B B))))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F)) 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)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 (neg.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 F #s(literal -7/360 binary64) (*.f64 (fma.f64 F #s(literal 1/840 binary64) (*.f64 (*.f64 F #s(literal -7/360 binary64)) #s(literal 1/6 binary64))) (*.f64 B B))))) (*.f64 B B))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.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))))) 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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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))))) 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) (* (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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) 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 (*.f64 #s(literal 1/45 binary64) x) (*.f64 (*.f64 F #s(literal -7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.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))))) 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) (* (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)
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(* F (sqrt (/ 1 (+ 2 (* 2 x)))))
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(sqrt (+ 2 (* 2 x)))
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(* -1 (/ (* x (cos B)) (sin B)))
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(* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))
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(* -1 x)
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(* -1 (/ (* x (cos B)) (sin B)))
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(* -1 (* F (sqrt (/ 1 (+ 2 (* 2 x))))))
(*.f64 (neg.f64 F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))
(* F (+ (* -1 (sqrt (/ 1 (+ 2 (* 2 x))))) (* 1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))))))
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(* F (+ (* -1 (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))) (* 1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))))
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(* F (+ (* -1 (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* 1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))) (* 5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7)))))))))))
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(/ (+ 2 (* 2 x)) F)
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(/ (+ 2 (* 2 x)) F)
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(/ (+ 2 (* 2 x)) F)
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(/ (+ 2 (* 2 x)) F)
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
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(* 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)))))))))
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(* 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)))))))))))
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(sqrt (/ 1 (+ 2 (* 2 x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))
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(+ (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))))))))
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(+ (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)))))))))
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(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x)))))
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(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x)))))))
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(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
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(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
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(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (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 (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))))
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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)))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))))
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(+ 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))))))
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F
(* F (+ 1 (* 1/2 (/ (+ 2 (* 2 x)) (pow F 2)))))
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(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))
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(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
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rewrite349.0ms (2.3%)

Memory
18.2MiB live, 139.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085557
0130525
1552504
24602504
09019499
Stop Event
iter limit
node limit
iter limit
Counts
27 → 522
Calls
Call 1
Inputs
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(/.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))))
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(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)
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#s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (sin.f64 B))
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Outputs
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eval505.0ms (3.3%)

Memory
5.5MiB live, 312.6MiB allocated
Compiler

Compiled 48 387 to 3 996 computations (91.7% saved)

prune420.0ms (2.8%)

Memory
-16.0MiB live, 230.4MiB allocated
Pruning

64 alts after pruning (63 fresh and 1 done)

PrunedKeptTotal
New1 254361 290
Fresh192746
Picked415
Done000
Total1 277641 341
Accuracy
100.0%
Counts
1 341 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
32.9%
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
53.9%
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) (/.f64 (neg.f64 x) (tan.f64 B)))
53.8%
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) (/.f64 (neg.f64 x) (tan.f64 B)))
52.3%
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (/.f64 (neg.f64 x) (tan.f64 B)))
51.0%
(/.f64 (fma.f64 (*.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #s(literal -1 binary64)) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (tan.f64 B) (sin.f64 B)))
85.3%
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
80.0%
(-.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)) (/.f64 x (tan.f64 B)))
85.2%
(-.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 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)))
54.9%
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(approx (/ x (tan B)) (/.f64 x B)))
56.9%
(-.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))))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
57.3%
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
55.6%
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
85.3%
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
67.5%
(-.f64 #s(approx (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.f64 x (tan.f64 B)))
53.4%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) #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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
49.9%
(+.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))))
35.3%
(+.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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
67.4%
(+.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 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
43.2%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
43.3%
(+.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B)) #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/135 binary64) x (*.f64 #s(literal 1/105 binary64) x)) B) B (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)))
26.6%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
26.7%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))
25.1%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B))))
29.8%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 F (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
71.2%
(*.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B)) (*.f64 (sin.f64 B) x)) (pow.f64 (*.f64 (tan.f64 B) (sin.f64 B)) #s(literal -1 binary64)))
55.5%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
44.0%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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))))) F (neg.f64 x))) B))
28.8%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
55.6%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
53.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (pow.f64 (sin.f64 B) #s(literal -1 binary64))))
43.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.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 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B))
43.5%
#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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F F) (+ (* 2 x) 2)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
15.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
26.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
25.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B))
27.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x)) (neg.f64 (sin.f64 B)))))
43.8%
#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))
53.2%
#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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
20.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) F)) (-.f64 #s(literal -1 binary64) x))) B))
17.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))) B))
23.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) F (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) x) F))) B))
14.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
23.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
26.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
25.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
19.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
26.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
7.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 F F)))) B))
8.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
2.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
11.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
26.1%
#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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
53.2%
#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 (cos.f64 B) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 B))))))
30.5%
#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)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
53.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
23.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
30.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 (neg.f64 x) B))))
17.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
26.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/6 binary64)) (*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)) #s(literal 7/360 binary64)) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 B B))) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)))
26.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)))
14.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
Compiler

Compiled 2 520 to 1 913 computations (24.1% saved)

simplify281.0ms (1.8%)

Memory
-47.3MiB live, 108.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (cos.f64 B) (sin.f64 B))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
cost-diff0
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
cost-diff0
(sin.f64 B)
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 B))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (* (cos B) (/ x (sin B))) (/.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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
cost-diff0
(fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))
cost-diff0
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x)))
cost-diff0
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))) B))
cost-diff0
(-.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))
cost-diff0
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #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 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x))
cost-diff0
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070493
095472
1156463
2243463
3431463
4660463
51110463
61752463
73100463
83842463
94319463
104533463
114642463
124681463
134753463
144936463
155045463
165070463
175118463
185136463
195136463
205136463
05136458
Stop Event
iter limit
saturated
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))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) 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))
(*.f64 (cos.f64 B) x)
(cos.f64 B)
B
(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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1/2 binary64) F)
#s(literal 1/2 binary64)
F
#s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64)))
(*.f64 (/.f64 x F) #s(literal 2 binary64))
(/.f64 x F)
x
#s(literal 2 binary64)
(-.f64 #s(literal -1 binary64) x)
#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 #s(literal 1 binary64) (sin.f64 B)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)
B
#s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))
(/.f64 x B)
x
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 x)
x
(/.f64 (cos.f64 B) (sin.f64 B))
(cos.f64 B)
B
(sin.f64 B)
Outputs
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x))
(fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.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 x #s(literal 2 binary64) (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))))
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
(*.f64 (cos.f64 B) x)
(cos.f64 B)
B
(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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) F) (-.f64 #s(literal -1 binary64) x))) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))) B)
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) F) (-.f64 #s(literal -1 binary64) x))) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) F) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) F) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1/2 binary64) F)
#s(literal 1/2 binary64)
F
#s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64)))
(*.f64 (/.f64 x F) #s(literal 2 binary64))
(/.f64 x F)
x
#s(literal 2 binary64)
(-.f64 #s(literal -1 binary64) x)
#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 #s(literal 1 binary64) (sin.f64 B)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)
B
#s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))
(/.f64 x B)
x
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(neg.f64 x)
x
(/.f64 (cos.f64 B) (sin.f64 B))
(cos.f64 B)
B
(sin.f64 B)

localize201.0ms (1.3%)

Memory
22.2MiB live, 368.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 B)
accuracy0.1640625
(/.f64 (cos.f64 B) (sin.f64 B))
accuracy0.234375
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
accuracy28.2910707518443
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
accuracy0.0078125
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)))
accuracy0.14453125
(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy29.849966418311112
#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)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
accuracy31.30125732022688
#s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))
accuracy0.109375
(fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))
accuracy31.578376021784134
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))) B))
accuracy37.02051023442501
#s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64)))
accuracy39.44452025785034
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x)))
accuracy0
(-.f64 #s(literal -1 binary64) x)
accuracy0.02734375
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)
accuracy28.26981200863331
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))
accuracy31.578376021784134
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
accuracy0.1171875
(*.f64 (cos.f64 B) x)
accuracy0.1328125
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
accuracy0.16015625
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
accuracy17.8410398915891
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
Samples
165.0ms256×0valid
Compiler

Compiled 608 to 93 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 42.0ms (32.2% of total)
ival-div: 41.0ms (31.4% of total)
ival-tan: 10.0ms (7.7% of total)
ival-add: 9.0ms (6.9% of total)
ival-cos: 6.0ms (4.6% of total)
ival-sin: 5.0ms (3.8% of total)
ival-pow: 5.0ms (3.8% of total)
ival-sub: 4.0ms (3.1% of total)
ival-sqrt: 4.0ms (3.1% of total)
ival-neg: 3.0ms (2.3% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series85.0ms (0.6%)

Memory
22.1MiB live, 144.1MiB allocated
Counts
24 → 600
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 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))))) (*.f64 (cos.f64 B) x)) (patch (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) 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 (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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B) (patch (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) 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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))) B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))) B) (patch (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))) B) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) 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 #s(literal 1 binary64) (sin.f64 B)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 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(literal 1 binary64) (sin.f64 B)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) (patch #s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) (patch (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 B) (sin.f64 B)) (patch (/.f64 (cos.f64 B) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 B) x) (patch (*.f64 (cos.f64 B) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (patch #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)) (patch #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)) #<representation binary64>) () ())
#s(alt (cos.f64 B) (patch (cos.f64 B) #<representation binary64>) () ())
Outputs
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B) (taylor 0 B) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))))) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B) (taylor 0 B) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) (+ (* -1/5040 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))))) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B) (taylor 0 B) (#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) (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))))) (*.f64 (cos.f64 B) x)) (patch (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 (* (pow B 2) x)) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) x) (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))))) (*.f64 (cos.f64 B) x)) (patch (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x) (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))))) (*.f64 (cos.f64 B) x)) (patch (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x) (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))))) (*.f64 (cos.f64 B) x)) (patch (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) 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 #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)) (patch #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)) (patch #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)) (patch #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)) (patch #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
17.0ms
B
@-inf
((/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (- -1 x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/ 1 (sin B)) (sin B) (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (* (neg x) (/ (cos B) (sin B))) (neg x) (/ (cos B) (sin B)) (* (cos B) x) (/ (+ (* 2 x) 2) F) (* (cos B) (/ x (sin B))) (cos B))
4.0ms
B
@inf
((/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (- -1 x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/ 1 (sin B)) (sin B) (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (* (neg x) (/ (cos B) (sin B))) (neg x) (/ (cos B) (sin B)) (* (cos B) x) (/ (+ (* 2 x) 2) F) (* (cos B) (/ x (sin B))) (cos B))
4.0ms
B
@0
((/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (- -1 x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/ 1 (sin B)) (sin B) (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (* (neg x) (/ (cos B) (sin B))) (neg x) (/ (cos B) (sin B)) (* (cos B) x) (/ (+ (* 2 x) 2) F) (* (cos B) (/ x (sin B))) (cos B))
3.0ms
x
@-inf
((/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (- -1 x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/ 1 (sin B)) (sin B) (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (* (neg x) (/ (cos B) (sin B))) (neg x) (/ (cos B) (sin B)) (* (cos B) x) (/ (+ (* 2 x) 2) F) (* (cos B) (/ x (sin B))) (cos B))
3.0ms
x
@inf
((/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (- -1 x) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/ 1 (sin B)) (sin B) (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (* (neg x) (/ (cos B) (sin B))) (neg x) (/ (cos B) (sin B)) (* (cos B) x) (/ (+ (* 2 x) 2) F) (* (cos B) (/ x (sin B))) (cos B))

simplify242.0ms (1.6%)

Memory
-21.7MiB live, 490.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096615034
1296714386
0854213211
Stop Event
iter limit
node limit
Counts
600 → 597
Calls
Call 1
Inputs
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))))) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) (+ (* -1/5040 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))))) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)
(- (+ (* 1/2 (* (pow B 2) x)) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) x)
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x)
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x)
(/ (- (* 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 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) 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)
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x
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(* -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)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (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)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* 2 (/ x F))
(* x (+ (* 2 (/ 1 F)) (* 2 (/ 1 (* F x)))))
(* x (+ (* 2 (/ 1 F)) (* 2 (/ 1 (* F x)))))
(* x (+ (* 2 (/ 1 F)) (* 2 (/ 1 (* F x)))))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
Outputs
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.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))))) F (neg.f64 x)) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))) (*.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))))) F (neg.f64 x))) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))))) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))))) (*.f64 B B) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))))) (*.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))))) F (neg.f64 x))) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) (+ (* -1/5040 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))))) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) x) (fma.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))))) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))) (*.f64 #s(literal -1/5040 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))))) (*.f64 B B) (-.f64 (*.f64 #s(literal -1/24 binary64) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))))) (*.f64 B B) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))))) (*.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))))) F (neg.f64 x))) B)
(- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))
(- (+ (* 1/2 (* (pow B 2) x)) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 B B)) x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x)
(fma.f64 (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 B B) #s(literal 1/2 binary64))) (*.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))))) F (neg.f64 x)))
(- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x)
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 B B) #s(literal -1/24 binary64))) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) x)) (*.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))))) F (neg.f64 x)))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.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))))) 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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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))))) 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) (* (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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) 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 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 F #s(literal -7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.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))))) 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) (* (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 (fma.f64 (*.f64 #s(literal 1/6 binary64) 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 (fma.f64 (neg.f64 (*.f64 F #s(literal -7/360 binary64))) (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 (fma.f64 x #s(literal -1/135 binary64) (*.f64 x #s(literal 1/105 binary64))) (*.f64 (fma.f64 F #s(literal 1/840 binary64) (*.f64 F #s(literal -7/2160 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 x #s(literal 1/45 binary64)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.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))))) F (neg.f64 x))) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.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))))) F (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.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))))) F (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.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))))) F (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.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))))) F (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.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))))) 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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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))))) 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) (* (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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) 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 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 F #s(literal -7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.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))))) 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) (* (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 (fma.f64 (*.f64 #s(literal 1/6 binary64) 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 (fma.f64 (neg.f64 (*.f64 F #s(literal -7/360 binary64))) (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 (fma.f64 x #s(literal -1/135 binary64) (*.f64 x #s(literal 1/105 binary64))) (*.f64 (fma.f64 F #s(literal 1/840 binary64) (*.f64 F #s(literal -7/2160 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 x #s(literal 1/45 binary64)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.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))))) F (neg.f64 x))) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.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))))) F (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.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))))) F (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.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))))) F (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.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))))) F (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.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))))) 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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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))))) 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) (* (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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) 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 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 F #s(literal -7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.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))))) 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) (* (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)
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(* -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)))))
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(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) x)) (/.f64 (cos.f64 B) (sin.f64 B))) x)
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
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(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/ (* x (cos B)) (sin B))
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rewrite227.0ms (1.5%)

Memory
8.7MiB live, 374.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070441
095395
1407380
23344380
08493375
Stop Event
iter limit
node limit
iter limit
Counts
24 → 560
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))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
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(/.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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))
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#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
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#s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64)))
#s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))
(cos.f64 B)
Outputs
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#<batchref>

eval180.0ms (1.2%)

Memory
14.1MiB live, 395.3MiB allocated
Compiler

Compiled 32 324 to 3 404 computations (89.5% saved)

prune155.0ms (1%)

Memory
-19.6MiB live, 351.3MiB allocated
Pruning

70 alts after pruning (68 fresh and 2 done)

PrunedKeptTotal
New1 213361 249
Fresh263258
Picked415
Done011
Total1 243701 313
Accuracy
100.0%
Counts
1 313 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
32.9%
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
52.3%
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (/.f64 (neg.f64 x) (tan.f64 B)))
51.0%
(/.f64 (fma.f64 (*.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #s(literal -1 binary64)) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (tan.f64 B) (sin.f64 B)))
57.8%
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(approx (cos B) #s(literal 1 binary64)) x)) (sin.f64 B))
56.9%
(/.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))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
57.3%
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
53.2%
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
55.5%
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
57.8%
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
30.8%
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
55.6%
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (neg.f64 (cos.f64 B)) x)) (sin.f64 B))
80.0%
(-.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)) (/.f64 x (tan.f64 B)))
85.3%
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
49.9%
(+.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))))
43.2%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
43.3%
(+.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B)) #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/135 binary64) x (*.f64 #s(literal 1/105 binary64) x)) B) B (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)))
26.6%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
26.7%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))
25.1%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B))))
29.8%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 F (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
28.8%
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
55.7%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
55.6%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
55.6%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
29.2%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #s(literal 1 binary64)) (sin.f64 B))))
55.5%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))))
36.9%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (exp.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64)))))
26.0%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))))
26.1%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))))
26.4%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B))))
26.1%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
26.2%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/120 binary64) x (*.f64 x #s(literal 1/18 binary64)))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)))
26.4%
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
53.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (pow.f64 (sin.f64 B) #s(literal -1 binary64))))
43.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.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 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F F) (+ (* 2 x) 2)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
15.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
26.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
25.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (neg.f64 x)) B))
13.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (pow.f64 #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)) #s(literal 2 binary64))) (+.f64 #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))))
43.8%
#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))
8.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) #s(approx (- -1 x) #s(literal -1 binary64)))) B))
23.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B))
17.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) F) (-.f64 #s(literal -1 binary64) x))) B))
23.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
24.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
26.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
25.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
19.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
26.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
9.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
2.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
8.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
2.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
11.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
25.6%
#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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
26.1%
#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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
26.9%
#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) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
26.9%
#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) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
26.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
26.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
26.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
26.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
30.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) B))))
23.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
17.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #s(literal 1 binary64)) B))))
17.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
26.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)))
14.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
Compiler

Compiled 3 973 to 1 620 computations (59.2% saved)

regimes177.0ms (1.2%)

Memory
34.7MiB live, 308.9MiB allocated
Counts
145 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) 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 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.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 (cos.f64 B) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 B))))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (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 (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))))
(fma.f64 (pow.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)) (/.f64 x (tan.f64 B)))
(fma.f64 (neg.f64 F) (*.f64 (/.f64 #s(literal -1 binary64) (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 (neg.f64 x) (tan.f64 B)))
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (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)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F))))
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)))
(+.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 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) (*.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 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.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 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
(fma.f64 (*.f64 (neg.f64 F) #s(approx (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.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 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (fma.f64 (*.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #s(literal -1 binary64)) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (tan.f64 B) (sin.f64 B)))
(+.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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (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)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (pow.f64 #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)) #s(literal 2 binary64))) (+.f64 #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B)) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (*.f64 (cos.f64 B) (neg.f64 x)) (*.f64 (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))))
(*.f64 (-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B)) (*.f64 (sin.f64 B) x)) (pow.f64 (*.f64 (tan.f64 B) (sin.f64 B)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (sin.f64 B)) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (pow.f64 F #s(literal -1 binary64))) (/.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 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x)) (neg.f64 (sin.f64 B)))))
Outputs
(-.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 (/.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)))
#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 x (tan.f64 B))))
Calls

4 calls:

45.0ms
(+.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))))))
44.0ms
B
40.0ms
x
38.0ms
F
Results
AccuracySegmentsBranch
99.7%3F
85.3%1B
85.3%1x
88.2%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 30 to 29 computations (3.3% saved)

regimes81.0ms (0.5%)

Memory
-25.9MiB live, 64.7MiB allocated
Counts
112 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) #s(approx (- -1 x) #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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F F) (+ (* 2 x) 2)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (/ 1 (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B))
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(+.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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) #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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (neg.f64 (cos.f64 B)) x)) (sin.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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.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 x (tan.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.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)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.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 #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 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (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))))
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(-.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))))) (sin.f64 B)) (/.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))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
Outputs
(-.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 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.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 x (tan.f64 B))))
Calls

1 calls:

74.0ms
F
Results
AccuracySegmentsBranch
99.7%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes47.0ms (0.3%)

Memory
-7.6MiB live, 65.6MiB allocated
Counts
110 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) #s(approx (- -1 x) #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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F F) (+ (* 2 x) 2)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (/ 1 (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 F F)))) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
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(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.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 #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 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (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))))
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(-.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))))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
Outputs
(-.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 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.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 x (tan.f64 B))))
Calls

1 calls:

37.0ms
F
Results
AccuracySegmentsBranch
99.7%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes51.0ms (0.3%)

Memory
13.5MiB live, 49.7MiB allocated
Counts
108 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) #s(approx (- -1 x) #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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F F) (+ (* 2 x) 2)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (/ 1 (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 F F)))) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (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 (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) 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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) F (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) x) F))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/6 binary64)) (*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)) #s(literal 7/360 binary64)) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 B B))) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 B B) #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 (fma.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal 1/6 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))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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))))) F (neg.f64 x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #s(literal 1 binary64)) (sin.f64 B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
#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)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
(+.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B)) #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/135 binary64) x (*.f64 #s(literal 1/105 binary64) x)) B) B (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 F (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (fma.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 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) 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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(approx (cos B) #s(literal 1 binary64)) x)) (sin.f64 B))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) (/.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)) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.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 (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) 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 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B)) (/.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 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) #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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (neg.f64 (cos.f64 B)) x)) (sin.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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.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 x (tan.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.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)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.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 #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 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (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))))
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Outputs
(-.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 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.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 x (tan.f64 B))))
Calls

1 calls:

43.0ms
F
Results
AccuracySegmentsBranch
99.0%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes40.0ms (0.3%)

Memory
2.3MiB live, 49.2MiB allocated
Counts
104 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
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#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
#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)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
(+.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B)) #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/135 binary64) x (*.f64 #s(literal 1/105 binary64) x)) B) B (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 F (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (fma.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 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) 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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(approx (cos B) #s(literal 1 binary64)) x)) (sin.f64 B))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) (/.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)) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.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 (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) 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 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B)) (/.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 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) #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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (neg.f64 (cos.f64 B)) x)) (sin.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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.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 x (tan.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.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)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.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 #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))))
Outputs
(-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 #s(approx (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.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 x (tan.f64 B))))
Calls

1 calls:

33.0ms
F
Results
AccuracySegmentsBranch
91.9%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes41.0ms (0.3%)

Memory
-10.8MiB live, 60.5MiB allocated
Counts
99 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))))
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#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) 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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(approx (cos B) #s(literal 1 binary64)) x)) (sin.f64 B))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) (/.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)) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.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 (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) 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 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B)) (/.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 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) #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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (neg.f64 (cos.f64 B)) x)) (sin.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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.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 x (tan.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))))
Outputs
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 #s(approx (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.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 x (tan.f64 B))))
Calls

1 calls:

30.0ms
F
Results
AccuracySegmentsBranch
91.9%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes35.0ms (0.2%)

Memory
31.9MiB live, 69.0MiB allocated
Counts
97 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) #s(approx (- -1 x) #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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F F) (+ (* 2 x) 2)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (/ 1 (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
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(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Outputs
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 #s(approx (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
Calls

1 calls:

28.0ms
F
Results
AccuracySegmentsBranch
91.9%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes120.0ms (0.8%)

Memory
-4.4MiB live, 239.6MiB allocated
Counts
95 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) #s(approx (- -1 x) #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (neg.f64 x) B))))
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(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal 1/6 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))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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))))) F (neg.f64 x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #s(literal 1 binary64)) (sin.f64 B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
#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)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
(+.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B)) #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/135 binary64) x (*.f64 #s(literal 1/105 binary64) x)) B) B (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 F (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (fma.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 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) 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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(approx (cos B) #s(literal 1 binary64)) x)) (sin.f64 B))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) (/.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)) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.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 (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) 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 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B)) (/.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 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) #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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (neg.f64 (cos.f64 B)) x)) (sin.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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
Outputs
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (/.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))))) (*.f64 #s(approx (cos B) #s(literal 1 binary64)) x)) (sin.f64 B))
(-.f64 #s(approx (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
Calls

4 calls:

29.0ms
B
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))))))
27.0ms
F
27.0ms
x
Results
AccuracySegmentsBranch
79.2%3x
73.5%2B
84.7%7(+.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))))))
86.6%4F
Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes34.0ms (0.2%)

Memory
-16.3MiB live, 59.1MiB allocated
Counts
94 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
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(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) 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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(approx (cos B) #s(literal 1 binary64)) x)) (sin.f64 B))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) (/.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)) #s(approx (/ x (tan B)) (/.f64 x B)))
(-.f64 #s(approx (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.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 (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) 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 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) B)) (/.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 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) #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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (neg.f64 (cos.f64 B)) x)) (sin.f64 B))
Outputs
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (/.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))))) (*.f64 #s(approx (cos B) #s(literal 1 binary64)) x)) (sin.f64 B))
(-.f64 #s(approx (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.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)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
Calls

1 calls:

28.0ms
F
Results
AccuracySegmentsBranch
82.2%4F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes61.0ms (0.4%)

Memory
0.5MiB live, 84.4MiB allocated
Counts
83 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) #s(approx (- -1 x) #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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F F) (+ (* 2 x) 2)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (/ 1 (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 F F)))) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (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 (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.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 (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/120 binary64) x (*.f64 x #s(literal 1/18 binary64)))) (*.f64 B B))) (*.f64 B B) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) F (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) x) F))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/6 binary64)) (*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)) #s(literal 7/360 binary64)) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 B B))) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal 1/6 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))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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))))) F (neg.f64 x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #s(literal 1 binary64)) (sin.f64 B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
#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)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
(+.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B)) #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/135 binary64) x (*.f64 #s(literal 1/105 binary64) x)) B) B (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 F (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (fma.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 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) 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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(approx (cos B) #s(literal 1 binary64)) x)) (sin.f64 B))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) (/.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)) #s(approx (/ x (tan B)) (/.f64 x B)))
Outputs
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (/.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))))) (*.f64 #s(approx (cos B) #s(literal 1 binary64)) x)) (sin.f64 B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

2 calls:

31.0ms
F
24.0ms
x
Results
AccuracySegmentsBranch
79.2%3x
81.0%5F
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes28.0ms (0.2%)

Memory
18.7MiB live, 56.2MiB allocated
Counts
80 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.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 #s(literal 1 binary64) (sin.f64 B)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
(+.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B)) #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/135 binary64) x (*.f64 #s(literal 1/105 binary64) x)) B) B (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 F (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (fma.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 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) 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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
Outputs
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

1 calls:

23.0ms
x
Results
AccuracySegmentsBranch
79.1%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes99.0ms (0.6%)

Memory
7.6MiB live, 161.0MiB allocated
Counts
79 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) #s(approx (- -1 x) #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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F F) (+ (* 2 x) 2)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (/ 1 (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 F F)))) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (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 (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.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 (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/120 binary64) x (*.f64 x #s(literal 1/18 binary64)))) (*.f64 B B))) (*.f64 B B) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) F (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) x) F))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/6 binary64)) (*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)) #s(literal 7/360 binary64)) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 B B))) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal 1/6 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))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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))))) F (neg.f64 x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #s(literal 1 binary64)) (sin.f64 B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
#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)) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
(+.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B)) #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/135 binary64) x (*.f64 #s(literal 1/105 binary64) x)) B) B (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (*.f64 (*.f64 F (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (fma.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 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) 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(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
(fma.f64 #s(approx (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) (/.f64 (neg.f64 x) (tan.f64 B)))
Outputs
(+.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) B)) #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/135 binary64) x (*.f64 #s(literal 1/105 binary64) x)) B) B (*.f64 #s(literal 1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

4 calls:

25.0ms
(+.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))))))
23.0ms
B
23.0ms
x
23.0ms
F
Results
AccuracySegmentsBranch
73.4%2B
75.7%5F
72.4%7(+.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))))))
73.3%3x
Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes24.0ms (0.2%)

Memory
4.2MiB live, 41.3MiB allocated
Counts
64 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) #s(approx (- -1 x) #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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F F) (+ (* 2 x) 2)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (/ 1 (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 F F)))) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (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 (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.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 (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/120 binary64) x (*.f64 x #s(literal 1/18 binary64)))) (*.f64 B B))) (*.f64 B B) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) F (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) x) F))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/6 binary64)) (*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)) #s(literal 7/360 binary64)) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 B B))) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal 1/6 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))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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))))) F (neg.f64 x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (* (* (neg F) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/ -1 (sin B))) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #s(literal 1 binary64)) (sin.f64 B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)))
#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)) #s(approx (* (cos B) (/ x (sin 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 (fma.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

1 calls:

19.0ms
B
Results
AccuracySegmentsBranch
73.3%2B
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes74.0ms (0.5%)

Memory
2.8MiB live, 120.3MiB allocated
Counts
57 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 F F)))) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (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 (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.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 (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/120 binary64) x (*.f64 x #s(literal 1/18 binary64)))) (*.f64 B B))) (*.f64 B B) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) F (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) x) F))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/6 binary64)) (*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)) #s(literal 7/360 binary64)) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 B B))) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 B B) #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 (fma.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 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal 1/6 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))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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))))) F (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/3 binary64) x)) (*.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))))) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
Calls

4 calls:

20.0ms
B
17.0ms
x
17.0ms
(+.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))))))
16.0ms
F
Results
AccuracySegmentsBranch
47.0%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))))))
52.6%3F
44.0%1x
47.6%2B
Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes21.0ms (0.1%)

Memory
-1.1MiB live, 36.3MiB allocated
Counts
56 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) #s(approx (- -1 x) #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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F F) (+ (* 2 x) 2)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (/ 1 (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 F F)))) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (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 (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.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 (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/120 binary64) x (*.f64 x #s(literal 1/18 binary64)))) (*.f64 B B))) (*.f64 B B) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) F (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) x) F))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/6 binary64)) (*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)) #s(literal 7/360 binary64)) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 B B))) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal 1/6 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))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) 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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
Calls

1 calls:

17.0ms
F
Results
AccuracySegmentsBranch
52.3%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes23.0ms (0.2%)

Memory
-4.2MiB live, 36.0MiB allocated
Counts
55 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x 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 (/ 1 (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 F F)))) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (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 (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.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 (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/120 binary64) x (*.f64 x #s(literal 1/18 binary64)))) (*.f64 B B))) (*.f64 B B) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) F (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) x) F))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/6 binary64)) (*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)) #s(literal 7/360 binary64)) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 B B))) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) 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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
Calls

1 calls:

19.0ms
F
Results
AccuracySegmentsBranch
50.8%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes20.0ms (0.1%)

Memory
-3.3MiB live, 34.0MiB allocated
Counts
52 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) #s(approx (- -1 x) #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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F F) (+ (* 2 x) 2)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (/ 1 (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) 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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 F F)))) 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal 1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F B) (/.f64 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg 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 (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 (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 (sin B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.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 (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/120 binary64) x (*.f64 x #s(literal 1/18 binary64)))) (*.f64 B B))) (*.f64 B B) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) F (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) x) F))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/6 binary64)) (*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)) #s(literal 7/360 binary64)) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 B B))) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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 (/.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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
Calls

1 calls:

16.0ms
F
Results
AccuracySegmentsBranch
50.8%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.1%)

Memory
-15.8MiB live, 22.0MiB allocated
Counts
32 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) #s(approx (- -1 x) #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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F F) (+ (* 2 x) 2)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (/ 1 (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) (-.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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* F F) (+ (* 2 x) 2)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (/.f64 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin B))) (/.f64 x B))))
Calls

1 calls:

9.0ms
F
Results
AccuracySegmentsBranch
50.3%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes56.0ms (0.4%)

Memory
13.8MiB live, 95.9MiB allocated
Counts
28 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (*.f64 (/.f64 x F) #s(literal 2 binary64))) #s(approx (- -1 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)))
Calls

4 calls:

23.0ms
x
14.0ms
(+.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))))))
8.0ms
B
8.0ms
F
Results
AccuracySegmentsBranch
38.3%3x
36.5%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))))))
28.9%2B
44.2%4F
Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes10.0ms (0.1%)

Memory
21.0MiB live, 21.0MiB allocated
Counts
26 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) 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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)))
Calls

1 calls:

8.0ms
F
Results
AccuracySegmentsBranch
44.1%4F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory
-16.5MiB live, 19.5MiB allocated
Counts
23 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) F)) (-.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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) #s(approx (/ (+ (* 2 x) 2) F) (/.f64 #s(literal 2 binary64) F)) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)))
Calls

1 calls:

10.0ms
F
Results
AccuracySegmentsBranch
40.7%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated
Counts
22 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 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 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(approx (* (cos B) (/ x (sin 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 x #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 #s(literal 1 binary64) #s(approx (sin B) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) #s(approx (* (cos B) (/ x (sin 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (- (/ 1 (sin B)) (* (cos B) (/ x (sin B)))) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)))
Calls

1 calls:

7.0ms
F
Results
AccuracySegmentsBranch
40.7%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0%)

Memory
-25.2MiB live, 13.7MiB allocated
Counts
14 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal -1 binary64) F)) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
Calls

1 calls:

5.0ms
F
Results
AccuracySegmentsBranch
40.6%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
8 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (/ x (tan B))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* (cos B) (/ x (sin 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(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)))))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
Calls

1 calls:

3.0ms
F
Results
AccuracySegmentsBranch
40.6%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
3 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
Calls

3 calls:

2.0ms
(+.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))))))
2.0ms
F
2.0ms
x
Results
AccuracySegmentsBranch
28.3%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))))))
28.0%2x
32.7%2F
Compiler

Compiled 29 to 26 computations (10.3% saved)

regimes8.0ms (0.1%)

Memory
-14.8MiB live, 24.1MiB allocated
Counts
2 → 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
Calls

4 calls:

2.0ms
B
2.0ms
(+.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))))))
2.0ms
F
2.0ms
x
Results
AccuracySegmentsBranch
26.2%1x
26.2%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))))))
26.2%1B
26.2%1F
Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes14.0ms (0.1%)

Memory
-13.7MiB live, 27.4MiB 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
Calls

4 calls:

9.0ms
B
2.0ms
(+.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
F
1.0ms
x
Results
AccuracySegmentsBranch
9.6%1B
9.6%1F
9.6%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))))))
9.6%1x
Compiler

Compiled 30 to 29 computations (3.3% saved)

bsearch13.0ms (0.1%)

Memory
8.1MiB live, 47.2MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
4.0ms
992.8713751058543
2107344351391054000.0
7.0ms
-1.7949404446179167e+154
-1.619770386465314e+154
Samples
8.0ms48×0valid
0.0ms0invalid
Compiler

Compiled 114 to 101 computations (11.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-pow: 2.0ms (28.2% of total)
ival-div: 1.0ms (14.1% of total)
ival-add: 1.0ms (14.1% of total)
ival-mult: 1.0ms (14.1% of total)
ival-sin: 1.0ms (14.1% of total)
ival-tan: 1.0ms (14.1% 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)

bsearch10.0ms (0.1%)

Memory
-4.8MiB live, 34.3MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
0.0ms
992.8713751058543
2107344351391054000.0
8.0ms
-5.332124609728808e+101
-1.5582066553961324e+99
Samples
7.0ms32×0valid
Compiler

Compiled 114 to 101 computations (11.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-pow: 2.0ms (36% of total)
ival-div: 1.0ms (18% of total)
ival-mult: 1.0ms (18% of total)
ival-sin: 1.0ms (18% of total)
ival-tan: 1.0ms (18% of total)
ival-add: 0.0ms (0% 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)

bsearch42.0ms (0.3%)

Memory
13.8MiB live, 93.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
31.0ms
992.8713751058543
2107344351391054000.0
7.0ms
-4.969436339837595e+66
-1.7249848881740753e+64
Samples
27.0ms160×0valid
2.0ms15×0invalid
Compiler

Compiled 338 to 301 computations (10.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 4.0ms (17.2% of total)
ival-tan: 4.0ms (17.2% of total)
ival-div: 3.0ms (12.9% of total)
ival-add: 3.0ms (12.9% of total)
ival-sin: 3.0ms (12.9% of total)
ival-pow: 3.0ms (12.9% of total)
ival-neg: 2.0ms (8.6% 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
3.6MiB live, 79.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
0.037510616930118104
992.8713751058543
46.0ms
-31656632.126902234
-56.953579207166186
Samples
58.0ms272×0valid
5.0ms32×0invalid
Compiler

Compiled 472 to 451 computations (4.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-div: 19.0ms (35.2% of total)
ival-mult: 8.0ms (14.8% of total)
ival-sin: 8.0ms (14.8% of total)
ival-tan: 7.0ms (13% of total)
ival-pow: 5.0ms (9.3% of total)
ival-add: 4.0ms (7.4% of total)
ival-neg: 3.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch62.0ms (0.4%)

Memory
-11.8MiB live, 66.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
31.0ms
992.8713751058543
2107344351391054000.0
25.0ms
-5.737915713945268e-38
-1.0373486469422347e-38
Samples
39.0ms224×0valid
4.0ms27×0invalid
Compiler

Compiled 510 to 458 computations (10.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-tan: 8.0ms (22.8% of total)
ival-mult: 6.0ms (17.1% of total)
ival-div: 5.0ms (14.2% of total)
ival-sin: 5.0ms (14.2% of total)
ival-pow: 5.0ms (14.2% of total)
ival-add: 3.0ms (8.5% of total)
ival-neg: 2.0ms (5.7% 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
3.6MiB live, 3.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
992.8713751058543
2107344351391054000.0
1.0ms
-5.737915713945268e-38
-1.0373486469422347e-38
Compiler

Compiled 510 to 458 computations (10.2% saved)

bsearch3.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
992.8713751058543
2107344351391054000.0
1.0ms
-5.737915713945268e-38
-1.0373486469422347e-38
Compiler

Compiled 510 to 458 computations (10.2% saved)

bsearch41.0ms (0.3%)

Memory
8.5MiB live, 46.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
992.8713751058543
2107344351391054000.0
21.0ms
-5.737915713945268e-38
-1.0373486469422347e-38
14.0ms
-2.5216093877710708e+117
-1.8334831359116042e+117
Samples
26.0ms144×0valid
3.0ms17×0invalid
Compiler

Compiled 678 to 594 computations (12.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-pow: 5.0ms (21.7% of total)
ival-mult: 4.0ms (17.3% of total)
ival-tan: 4.0ms (17.3% of total)
ival-div: 3.0ms (13% of total)
ival-sin: 3.0ms (13% of total)
ival-add: 2.0ms (8.7% of total)
ival-neg: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Memory
16.3MiB live, 54.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
34.0ms
3.4527853385491173e+50
1.0091950206075461e+58
1.0ms
-5.737915713945268e-38
-1.0373486469422347e-38
1.0ms
-2.5216093877710708e+117
-1.8334831359116042e+117
Samples
23.0ms144×0valid
4.0ms13×0invalid
Compiler

Compiled 648 to 567 computations (12.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 5.0ms (22.4% of total)
ival-mult: 4.0ms (17.9% of total)
ival-tan: 4.0ms (17.9% of total)
ival-sin: 3.0ms (13.4% of total)
ival-pow: 3.0ms (13.4% of total)
ival-add: 2.0ms (9% of total)
ival-neg: 1.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch70.0ms (0.5%)

Memory
-43.8MiB live, 90.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
34.0ms
8.093759601275478e-60
1.8834039446113784e-53
27.0ms
-2.2757338168651794e-37
-8.650100893130762e-39
Samples
47.0ms256×0valid
Compiler

Compiled 456 to 429 computations (5.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 11.0ms (28.6% of total)
ival-tan: 6.0ms (15.6% of total)
ival-div: 5.0ms (13% of total)
ival-sin: 5.0ms (13% of total)
ival-pow: 5.0ms (13% of total)
ival-add: 3.0ms (7.8% of total)
ival-neg: 2.0ms (5.2% 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
5.0MiB live, 5.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.093759601275478e-60
1.8834039446113784e-53
1.0ms
-2.2757338168651794e-37
-8.650100893130762e-39
Compiler

Compiled 456 to 429 computations (5.9% saved)

bsearch38.0ms (0.2%)

Memory
-5.8MiB live, 31.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
62.61499883612931
1056.1579342043829
Samples
20.0ms112×0valid
Compiler

Compiled 422 to 299 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 4.0ms (23.5% of total)
ival-tan: 4.0ms (23.5% of total)
ival-mult: 3.0ms (17.6% of total)
ival-div: 2.0ms (11.7% of total)
ival-pow: 2.0ms (11.7% of total)
ival-add: 1.0ms (5.9% of total)
ival-neg: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory
24.0MiB live, 24.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
3.707725888338014e-6
0.013357699791118092
Samples
18.0ms128×0valid
Compiler

Compiled 326 to 258 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 3.0ms (21.3% of total)
ival-mult: 3.0ms (21.3% of total)
ival-pow: 3.0ms (21.3% of total)
ival-add: 2.0ms (14.2% of total)
ival-tan: 2.0ms (14.2% of total)
ival-sin: 1.0ms (7.1% of total)
ival-neg: 1.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory
-9.4MiB live, 28.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.1960453956315912e+167
1.6418016616896988e+168
0.0ms
-1.7949404446179167e+154
-1.619770386465314e+154
Samples
18.0ms96×0valid
Compiler

Compiled 400 to 276 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 4.0ms (27.3% of total)
ival-div: 2.0ms (13.7% of total)
ival-sin: 2.0ms (13.7% of total)
ival-tan: 2.0ms (13.7% of total)
ival-pow: 2.0ms (13.7% of total)
ival-add: 1.0ms (6.8% of total)
ival-neg: 1.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch45.0ms (0.3%)

Memory
15.7MiB live, 54.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1960453956315912e+167
1.6418016616896988e+168
40.0ms
-1.619770386465314e+154
-2.274917970215732e+144
Samples
32.0ms160×0valid
0.0ms0invalid
Compiler

Compiled 712 to 556 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-pow: 9.0ms (32.9% of total)
ival-mult: 4.0ms (14.6% of total)
ival-tan: 4.0ms (14.6% of total)
ival-div: 3.0ms (11% of total)
ival-sin: 3.0ms (11% of total)
ival-add: 2.0ms (7.3% of total)
ival-neg: 1.0ms (3.7% 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
6.9MiB live, 6.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1960453956315912e+167
1.6418016616896988e+168
2.0ms
-1.619770386465314e+154
-2.274917970215732e+144
Compiler

Compiled 778 to 592 computations (23.9% saved)

bsearch64.0ms (0.4%)

Memory
-15.2MiB live, 58.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
38.0ms
992.8713751058543
2107344351391054000.0
22.0ms
-1.9000374755910614e-52
-7.576004247360935e-53
Samples
27.0ms160×0valid
4.0ms25×0invalid
Compiler

Compiled 500 to 431 computations (13.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 5.0ms (20.2% of total)
ival-tan: 5.0ms (20.2% of total)
ival-div: 4.0ms (16.2% of total)
ival-sin: 4.0ms (16.2% of total)
ival-add: 3.0ms (12.1% of total)
ival-pow: 3.0ms (12.1% of total)
ival-neg: 2.0ms (8.1% 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
3.1MiB live, 3.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.037510616930118104
992.8713751058543
1.0ms
-1.9000374755910614e-52
-7.576004247360935e-53
Compiler

Compiled 436 to 403 computations (7.6% saved)

bsearch90.0ms (0.6%)

Memory
4.6MiB live, 123.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
4.519197215395211e-19
9.867646463520972e-17
21.0ms
-1.4347467753114702e-211
-6.635512082952821e-212
34.0ms
-4.736966402262882e-56
-4.507753992159423e-61
Samples
60.0ms336×0valid
6.0ms40×0invalid
Compiler

Compiled 531 to 535 computations (-0.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 11.0ms (20.3% of total)
ival-add: 10.0ms (18.4% of total)
ival-tan: 8.0ms (14.7% of total)
ival-div: 7.0ms (12.9% of total)
ival-sin: 7.0ms (12.9% of total)
ival-pow: 7.0ms (12.9% of total)
ival-neg: 3.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
3.4MiB live, 40.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.519197215395211e-19
9.867646463520972e-17
1.0ms
-1.4347467753114702e-211
-6.635512082952821e-212
20.0ms
-4.736966402262882e-56
-4.507753992159423e-61
Samples
12.0ms80×0valid
4.0ms0invalid
Compiler

Compiled 459 to 490 computations (-6.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 4.0ms (30% of total)
ival-div: 2.0ms (15% of total)
ival-mult: 2.0ms (15% of total)
ival-tan: 2.0ms (15% of total)
ival-pow: 2.0ms (15% of total)
ival-add: 1.0ms (7.5% of total)
ival-neg: 1.0ms (7.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch48.0ms (0.3%)

Memory
-9.0MiB live, 71.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.519197215395211e-19
9.867646463520972e-17
43.0ms
-1.0373486469422347e-38
-1.9000374755910614e-52
Samples
31.0ms160×0valid
4.0ms29×0invalid
Compiler

Compiled 513 to 485 computations (5.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 7.0ms (25.5% of total)
ival-mult: 5.0ms (18.2% of total)
ival-sin: 4.0ms (14.6% of total)
ival-tan: 4.0ms (14.6% of total)
ival-add: 3.0ms (10.9% of total)
ival-pow: 3.0ms (10.9% of total)
ival-neg: 2.0ms (7.3% 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
16.9MiB live, 54.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.519197215395211e-19
9.867646463520972e-17
30.0ms
-1.0707020322380264e-21
-6.618689057413254e-26
Samples
22.0ms128×0valid
2.0ms15×0invalid
Compiler

Compiled 393 to 383 computations (2.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 5.0ms (25.2% of total)
ival-div: 3.0ms (15.1% of total)
ival-sin: 3.0ms (15.1% of total)
ival-tan: 3.0ms (15.1% of total)
ival-pow: 3.0ms (15.1% of total)
ival-add: 2.0ms (10.1% of total)
ival-neg: 1.0ms (5% 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
13.7MiB live, 51.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
9.973183470058675e-36
5.976926321769189e-34
1.0ms
-1.0707020322380264e-21
-6.618689057413254e-26
Samples
19.0ms112×0valid
3.0ms22×0invalid
Compiler

Compiled 330 to 341 computations (-3.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 3.0ms (17.6% of total)
ival-mult: 3.0ms (17.6% of total)
ival-sin: 3.0ms (17.6% of total)
ival-tan: 3.0ms (17.6% of total)
ival-add: 2.0ms (11.8% of total)
ival-pow: 2.0ms (11.8% of total)
ival-neg: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch92.0ms (0.6%)

Memory
-38.2MiB live, 85.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
61.0ms
7.772314941914549e-72
6.622820253271341e-64
22.0ms
-4.460559323922982e-108
-6.116039583484709e-109
Samples
67.0ms240×0valid
6.0ms37×0invalid
Compiler

Compiled 225 to 281 computations (-24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-pow: 33.0ms (51.7% of total)
ival-mult: 7.0ms (11% of total)
ival-sin: 6.0ms (9.4% of total)
ival-tan: 6.0ms (9.4% of total)
ival-div: 5.0ms (7.8% of total)
ival-add: 4.0ms (6.3% of total)
ival-neg: 2.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-4.460559323922982e-108
-6.116039583484709e-109
Compiler

Compiled 108 to 128 computations (-18.5% saved)

simplify48.0ms (0.3%)

Memory
9.7MiB live, 85.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03173339
13743339
24223339
34393339
44483339
54493339
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 F #s(literal -16499999999999999344353652599168262857922261947802142542853703926565117699904773601750373883210818814053363311064318972893258443338633570185191702447259648 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 1000 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))) #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 x (tan.f64 B))))))
(if (<=.f64 F #s(literal -20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 1000 binary64)) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.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 x (tan.f64 B))))))
(if (<=.f64 F #s(literal -199999999999999998418077252567267701645512243388460910731136598016 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 120000000 binary64)) (-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.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 x (tan.f64 B))))))
(if (<=.f64 F #s(literal -58 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 3/2 binary64)) (/.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))))) (*.f64 (cos.f64 B) x)) (sin.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 x (tan.f64 B))))))
(if (<=.f64 F #s(literal -5363734393030611/95780971304118053647396689196894323976171195136475136 binary64)) (-.f64 (/.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 3000 binary64)) (-.f64 #s(approx (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.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 x (tan.f64 B))))))
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(if (<=.f64 F #s(literal -5024025362805889/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (if (<=.f64 F #s(literal 1942668892225729/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))))
(if (<=.f64 F #s(literal -5024025362805889/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
Outputs
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(if (<=.f64 F #s(literal -5363734393030611/95780971304118053647396689196894323976171195136475136 binary64)) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (if (<=.f64 F #s(literal 3000 binary64)) (-.f64 #s(approx (/ (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sin B)) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.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 x (tan.f64 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 (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))

soundness2.7s (17.5%)

Memory
-79.8MiB live, 2 114.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120220689
1392020127
0858718384
062401
0101381
1406341
23302341
08241341
02067
03763
112262
278962
0829654
04774114
114543922
253063838
084853503
085557
0130525
1552504
24602504
09019499
070441
095395
1407380
23344380
08493375
0132221113
1424220454
0849118852
096615034
1296714386
0854213211
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 3 347 to 2 047 computations (38.8% saved)

preprocess336.0ms (2.2%)

Memory
-11.7MiB live, 318.5MiB allocated
Remove

(negabs B)

Compiler

Compiled 2 688 to 634 computations (76.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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