VandenBroeck and Keller, Equation (23)

Time bar (total: 13.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze385.0ms (2.9%)

Memory
14.9MiB live, 442.2MiB allocated
Algorithm
1×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)

sample2.2s (16.6%)

Memory
40.5MiB live, 1 782.7MiB allocated
Samples
1.4s8 256×0valid
47.0ms290×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 274.0ms (22.3% of total)
ival-tan: 200.0ms (16.3% of total)
ival-pow: 192.0ms (15.6% of total)
ival-div: 170.0ms (13.8% of total)
ival-sin: 166.0ms (13.5% of total)
ival-add: 136.0ms (11.1% of total)
ival-neg: 70.0ms (5.7% of total)
exact: 10.0ms (0.8% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain268.0ms (2%)

Memory
9.3MiB live, 396.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
720-0-(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))))
430-0-(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
00-0-(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 F F) #s(literal 2 binary64))
00-0-(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
00-0-(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
00-0-(*.f64 F F)
00-0-(*.f64 #s(literal 2 binary64) x)
00-0-(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
00-0-F
00-0-(tan.f64 B)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
00-0-(/.f64 F (sin.f64 B))
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 1 binary64) (tan.f64 B))
00-0-x
00-0-B
00-0-(sin.f64 B)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
pow.f64(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))oflow-rescue720
↳(*.f64 F F)overflow72
↳(+.f64 (*.f64 F F) #s(literal 2 binary64))overflow72
↳(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))overflow72
*.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*o430
Confusion
Predicted +Predicted -
+640
-18174
Precision
0.7804878048780488
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6400
-180174
Precision?
0.7804878048780488
Recall?
1.0
Freqs
test
numberfreq
0174
149
233
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
101.0ms512×0valid
Compiler

Compiled 268 to 64 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 22.0ms (29.2% of total)
ival-pow: 11.0ms (14.6% of total)
ival-div: 10.0ms (13.3% of total)
ival-sin: 10.0ms (13.3% of total)
ival-tan: 10.0ms (13.3% of total)
ival-add: 7.0ms (9.3% of total)
ival-neg: 4.0ms (5.3% of total)
ival-true: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)

preprocess246.0ms (1.9%)

Memory
25.4MiB live, 100.7MiB allocated
Algorithm
1×egg-herbie
Rules
926×times-frac
816×lower-fma.f64
816×lower-fma.f32
748×unsub-neg
564×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081229
1209195
2538191
31197191
42806191
54494191
65054191
75344191
85458191
95466191
105472191
115800191
125936191
135936191
145936191
155936191
02024
03724
15821
29821
315021
421021
531421
646621
790821
8116021
9126021
10142921
11155221
12157221
0157219
Stop Event
1×iter limit
1×saturated
1×iter limit
1×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 30 to 20 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.5%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify50.0ms (0.4%)

Memory
-8.5MiB live, 28.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
020103
037103
15896
29896
315096
421096
531496
646696
790896
8116096
9126096
10142996
11155296
12157296
0157287
Stop Event
1×iter limit
1×saturated
1×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 (0.6%)

Memory
8.3MiB live, 119.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(/.f64 F (sin.f64 B))
accuracy0.2578125
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy10.399010288692265
(*.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)))))
accuracy16.789639977607788
(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
55.0ms256×0valid
Compiler

Compiled 119 to 22 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 11.0ms (29.3% of total)
ival-mult: 6.0ms (16% of total)
ival-sin: 5.0ms (13.3% of total)
ival-tan: 5.0ms (13.3% of total)
ival-pow: 5.0ms (13.3% of total)
ival-add: 3.0ms (8% of total)
ival-neg: 2.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series43.0ms (0.3%)

Memory
-6.6MiB live, 70.8MiB allocated
Counts
7 → 168
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (patch (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (patch (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 F (sin.f64 B)) (patch (/.f64 F (sin.f64 B)) #<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 (* (/ (* 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>) () ())) ())
#s(alt (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))) (/ F (sin B)))
5.0ms
F
@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)))) (/ F (sin B)))
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)))) (/ F (sin B)))
4.0ms
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)))) (/ F (sin B)))
3.0ms
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)))) (/ F (sin B)))

simplify171.0ms (1.3%)

Memory
34.7MiB live, 226.3MiB allocated
Algorithm
1×egg-herbie
Rules
12 594×lower-fma.f64
12 594×lower-fma.f32
6 538×lower-*.f64
6 538×lower-*.f32
4 176×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04944266
114944066
254693979
080243639
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
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)
(/ F B)
(/ (+ F (* 1/6 (* (pow B 2) F))) B)
(/ (+ F (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B)
(/ (+ F (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) 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))))))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (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 (+ (* 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))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(* -1 (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B)))
(+ 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)))))))))))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B)))
(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)))))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (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)))
(/ F (sin B))
(/ F (sin B))
(/ F (sin B))
(/ F (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 F (*.f64 B B)) #s(literal 1/6 binary64) 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))))) (neg.f64 (*.f64 F (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64)))) (*.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 #s(literal 1/6 binary64) (*.f64 B B) #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 (+.f64 (fma.f64 (neg.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 #s(literal -7/360 binary64) F (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B)) (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 #s(literal 2/15 binary64) x))) (*.f64 #s(literal -1/9 binary64) x)) (*.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 F (*.f64 B B)) #s(literal 1/6 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 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 B B)) (neg.f64 (*.f64 F (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 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)) 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 #s(literal 1/6 binary64) (*.f64 B B) #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) (*.f64 (*.f64 (*.f64 B B) (*.f64 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 (neg.f64 B) (*.f64 B (*.f64 F #s(literal -31/15120 binary64))) (*.f64 #s(literal 7/360 binary64) F))))) B)
(/ F B)
(/.f64 F B)
(/ (+ F (* 1/6 (* (pow B 2) F))) B)
(/.f64 (fma.f64 (*.f64 F (*.f64 B B)) #s(literal 1/6 binary64) F) B)
(/ (+ F (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B)
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 F (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64))) B)) B F) B)
(/ (+ F (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 B) (*.f64 B (*.f64 F #s(literal -31/15120 binary64))) (*.f64 #s(literal 7/360 binary64) F)) (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 B B) 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))))))
(/ F (sin B))
(/.f64 F (sin.f64 B))
(/ F (sin B))
(/.f64 F (sin.f64 B))
(/ F (sin B))
(/.f64 F (sin.f64 B))
(/ F (sin B))
(/.f64 F (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)))
(/ (* 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))))))
(/ F (sin B))
(/.f64 F (sin.f64 B))
(/ F (sin B))
(/.f64 F (sin.f64 B))
(/ F (sin B))
(/.f64 F (sin.f64 B))
(/ F (sin B))
(/.f64 F (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 (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 (*.f64 F F) (/.f64 #s(literal -1/2 binary64) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.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 -1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 3/8 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 5 binary64)))) (sin.f64 B)))) (*.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))
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(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (neg.f64 F) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (cos.f64 B) (sin.f64 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)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))))) x)))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))))))) x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) x)))
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) x)))
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 F F #s(literal 2 binary64)) x)))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (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) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (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) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 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 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -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)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (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) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (/.f64 x #s(literal -1/2 binary64))) #s(literal -1/64 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/16 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (neg.f64 x) (*.f64 x x)))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))))))
(+ (* -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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (/.f64 x #s(literal -1/2 binary64))) #s(literal -1/64 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) #s(literal -1/16 binary64))) (*.f64 (*.f64 x x) x)))

rewrite199.0ms (1.5%)

Memory
-19.9MiB live, 201.1MiB allocated
Rules
9 162×lower-fma.f64
9 162×lower-fma.f32
5 634×lower-*.f32
5 626×lower-*.f64
2 936×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02071
03767
112266
278966
0829658
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 359
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
(/.f64 F (sin.f64 B))
Outputs
#s(literal 1/2 binary64)
(*.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 B))) (cos.f64 B))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)))
(*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x)
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) #s(literal -1 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)))
(pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 x x) #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (tan.f64 B)))
(/.f64 (neg.f64 (neg.f64 x)) (tan.f64 B))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (neg.f64 x)) x) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (neg.f64 x) (neg.f64 (tan.f64 B)))
(/.f64 (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 x x)) (/.f64 x (tan.f64 B)))
(/.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 x x) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) x)))
(/.f64 x (tan.f64 B))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))
(neg.f64 (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))
(*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 F F)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.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 x (tan.f64 B)))))
(*.f64 (fma.f64 (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (neg.f64 x)) x (/.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 F F)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (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 F (sin.f64 B))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 x x) (*.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 F (sin.f64 B))) (fma.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 x (tan.f64 B))))))))
(*.f64 (fma.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 x x) (/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 F F))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (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 F (sin.f64 B))))))
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(/.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) #s(literal -1 binary64)) (neg.f64 (sin.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)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 B)) F))
(/.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) #s(literal 1 binary64)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 F F)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) #s(literal 0 binary64)) (-.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 F (sin.f64 B))) #s(literal 0 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 F F)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (-.f64 #s(literal 0 binary64) (*.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 F (sin.f64 B))) #s(literal 0 binary64)))))
(/.f64 (neg.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)))) (sin.f64 B))
(/.f64 (neg.f64 (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 (sin.f64 B)) F))
(/.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))) (neg.f64 (sin.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)) F) (sin.f64 B))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (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 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) 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) (/.f64 (/.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)) #s(literal 1 binary64)))
(/.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 (*.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))) (sin.f64 B)))
(fma.f64 (*.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64))) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 F) #s(literal -1 binary64)) (/.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)) #s(literal 0 binary64))
(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)) #s(literal -1 binary64)) (/.f64 (neg.f64 F) (sin.f64 B)) #s(literal 0 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)) (/.f64 #s(literal 1 binary64) F)) #s(literal 0 binary64))
(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)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) F)) #s(literal 0 binary64))
(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 #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 F (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 #s(literal 1 binary64) (sin.f64 B))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 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)))) #s(literal 0 binary64))
(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(literal 0 binary64))
(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)) F) (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 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))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 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)) (/.f64 #s(literal 1 binary64) F)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 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) #s(literal 0 binary64))
(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))) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 F (/.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)) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.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))) #s(literal 0 binary64))
(+.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 F (sin.f64 B))) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 F)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(*.f64 (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) F)
(*.f64 (neg.f64 F) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 F) (sin.f64 B)))
(*.f64 F (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 #s(literal 1 binary64) (/.f64 F (sin.f64 B)))
(pow.f64 (/.f64 (sin.f64 B) F) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 F) #s(literal 1 binary64)) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 F #s(literal -1 binary64)) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 F)) (neg.f64 (sin.f64 B)))
(/.f64 (neg.f64 F) (neg.f64 (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 B)) F))
(/.f64 F (sin.f64 B))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) F))
(neg.f64 (/.f64 (neg.f64 F) (sin.f64 B)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 B))) (/.f64 (neg.f64 F) (sin.f64 B)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 F) (sin.f64 B)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) F)) #s(literal -1 binary64)))

eval71.0ms (0.5%)

Memory
-12.5MiB live, 98.4MiB allocated
Compiler

Compiled 19 889 to 1 826 computations (90.8% saved)

prune125.0ms (1%)

Memory
10.0MiB live, 133.5MiB allocated
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New50324527
Fresh000
Picked101
Done000
Total50424528
Accuracy
100.0%
Counts
528 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.2%
(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)))
87.2%
(fma.f64 (/.f64 #s(literal 1 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 (neg.f64 x) (tan.f64 B)))
75.5%
(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))))
▶87.2%
(fma.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)))
72.5%
(/.f64 (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)) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B)))
75.6%
(+.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))))))
76.1%
(+.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)))
87.1%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (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)) F) (sin.f64 B)))
▶87.1%
(+.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))))
75.5%
(+.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))))
48.7%
(+.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))))
75.3%
(+.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)))))))
59.1%
(+.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 F (*.f64 B B)) #s(literal 1/6 binary64) F)) B)))
58.4%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
48.5%
(+.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))))
62.4%
(+.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))))))))
57.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (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)))))
▶48.5%
#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))))
50.3%
#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))))) (neg.f64 (*.f64 F (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64)))) (*.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))
50.3%
#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 F (*.f64 B B)) #s(literal 1/6 binary64) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
▶50.9%
#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) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
58.5%
#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)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
31.3%
#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 1 160 to 728 computations (37.2% saved)

simplify184.0ms (1.4%)

Memory
16.2MiB live, 52.6MiB allocated
Algorithm
1×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-diff704
(/.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
(/.f64 (cos.f64 B) (sin.f64 B))
cost-diff0
(neg.f64 x)
cost-diff0
#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))))
cost-diff7104
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
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 (+ (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))))
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
(sin.f64 B)
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 B))
cost-diff0
(fma.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)))
cost-diff320
(*.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)))
Rules
1 848×lower-fma.f32
1 834×lower-fma.f64
1 248×lower-*.f32
1 240×lower-*.f64
828×div-sub
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
054414
085406
1140387
2222387
3404387
4636385
5978383
61730381
72607381
83274381
93623381
103894381
114057381
124077381
134108381
144171381
154286381
164429381
174513381
184513381
194513381
04513381
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.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)))
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 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)
B
(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 (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
#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))))
(*.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)
#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))))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(neg.f64 x)
x
(/.f64 (cos.f64 B) (sin.f64 B))
(cos.f64 B)
B
(sin.f64 B)
(/.f64 #s(literal -1 binary64) (sin.f64 B))
#s(literal -1 binary64)
(+.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 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 (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)))
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 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)
B
(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 (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
#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 (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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)
#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 (* 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)))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal -1 binary64)) (sin.f64 B))
(neg.f64 x)
x
(/.f64 (cos.f64 B) (sin.f64 B))
(cos.f64 B)
B
(sin.f64 B)
(/.f64 #s(literal -1 binary64) (sin.f64 B))
#s(literal -1 binary64)
(+.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 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) 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)
(*.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)

localize187.0ms (1.4%)

Memory
-40.1MiB live, 165.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.234375
(*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)
accuracy0.2578125
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy0.8591366572732595
(/.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))
accuracy16.789639977607788
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
accuracy0.07421875
(/.f64 #s(literal -1 binary64) (sin.f64 B))
accuracy0.09375
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
accuracy0.16796875
(/.f64 (cos.f64 B) (sin.f64 B))
accuracy32.84659043721965
#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))))
accuracy0
(cos.f64 B)
accuracy0.16796875
(/.f64 (cos.f64 B) (sin.f64 B))
accuracy0.2578125
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
accuracy28.222809142247876
#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))))
accuracy0.11328125
(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))
accuracy0.35420567723603896
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
accuracy16.46401535434093
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
accuracy27.38849556801323
#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))
accuracy0.12109375
(fma.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)))
accuracy0.12109375
(/.f64 (neg.f64 x) (tan.f64 B))
accuracy0.421875
(*.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)))
accuracy16.789639977607788
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
Samples
123.0ms256×0valid
Compiler

Compiled 426 to 49 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 39.0ms (39.2% of total)
ival-div: 17.0ms (17.1% of total)
ival-add: 11.0ms (11.1% of total)
ival-pow: 10.0ms (10.1% of total)
ival-cos: 8.0ms (8% of total)
ival-sin: 6.0ms (6% of total)
ival-tan: 5.0ms (5% of total)
ival-neg: 3.0ms (3% of total)
ival-sqrt: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series90.0ms (0.7%)

Memory
16.7MiB live, 127.9MiB allocated
Counts
25 → 636
Calls
Call 1
Inputs
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt (fma.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))) (patch (fma.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))) #<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 (+ (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 #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)))) (patch #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)))) #<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 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (patch (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (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))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) (patch #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)))) #<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 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 #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 (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 (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 (/.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 (cos.f64 B) (patch (cos.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 (/.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 (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 (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 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (taylor 0 B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B) (taylor 0 B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B) (taylor 0 B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B) (taylor 0 B) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) (taylor 0 B) (#s(alt (fma.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))) (patch (fma.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))) #<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 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))) (patch (fma.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))) #<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 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))) (patch (fma.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))) #<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 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))) (patch (fma.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/6 (pow B 2))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt B (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (* -1/6 (pow B 2)))) (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.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>) () ())) ())
#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 (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) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) (taylor 0 B) (#s(alt #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)))))) x) B) (taylor 0 B) (#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 (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#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 (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#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 (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#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>) () ())) ())
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#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (tan.f64 B)) (patch (/.f64 (neg.f64 x) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (tan.f64 B)) (patch (/.f64 (neg.f64 x) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (tan.f64 B)) (patch (/.f64 (neg.f64 x) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (tan.f64 B)) (patch (/.f64 (neg.f64 x) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#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 (* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x)) (taylor -inf x) (#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>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (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 (* -1 (* (/ (* (sin B) (* (sqrt -2) (sqrt -1))) F) (sqrt x))) (taylor -inf x) (#s(alt (/.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 (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 (* -1 (* x (+ (* 1/2 (* (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (* F (sqrt -2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sin B) (* (sqrt -2) (sqrt -1))) F) (sqrt (/ 1 x)))))) (taylor -inf x) (#s(alt (/.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 (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 (* -1 (* x (+ (* -1/8 (* (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* F (pow (sqrt -2) 3))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/2 (* (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (* F (sqrt -2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sin B) (* (sqrt -2) (sqrt -1))) F) (sqrt (/ 1 x))))))) (taylor -inf x) (#s(alt (/.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 (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 (* -1 (* x (+ (* -1/8 (* (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* F (pow (sqrt -2) 3))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 3))) (* F (pow (sqrt -2) 5))) (sqrt (/ 1 (pow x 7))))) (+ (* 1/2 (* (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (* F (sqrt -2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sin B) (* (sqrt -2) (sqrt -1))) F) (sqrt (/ 1 x)))))))) (taylor -inf x) (#s(alt (/.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 (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 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))) (taylor -inf x) (#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>) () ())) ())
#s(alt (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (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>) () ())) ())
#s(alt (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (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>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (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>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
12.0ms
F
@-inf
((* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (+ (* F (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2))) (/ (neg x) (tan B))) (/ 1 (sin B)) (sin B) (+ (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)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* (neg x) (/ (cos B) (sin B))) (neg x) (/ (cos B) (sin B)) (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)))) (neg (* x (/ 1 (tan B)))) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (cos B) (/ -1 (sin B)) (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))
9.0ms
x
@-inf
((* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (+ (* F (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2))) (/ (neg x) (tan B))) (/ 1 (sin B)) (sin B) (+ (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)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* (neg x) (/ (cos B) (sin B))) (neg x) (/ (cos B) (sin B)) (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)))) (neg (* x (/ 1 (tan B)))) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (cos B) (/ -1 (sin B)) (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))
8.0ms
x
@inf
((* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (+ (* F (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2))) (/ (neg x) (tan B))) (/ 1 (sin B)) (sin B) (+ (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)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* (neg x) (/ (cos B) (sin B))) (neg x) (/ (cos B) (sin B)) (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)))) (neg (* x (/ 1 (tan B)))) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (cos B) (/ -1 (sin B)) (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))
6.0ms
B
@0
((* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (+ (* F (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2))) (/ (neg x) (tan B))) (/ 1 (sin B)) (sin B) (+ (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)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* (neg x) (/ (cos B) (sin B))) (neg x) (/ (cos B) (sin B)) (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)))) (neg (* x (/ 1 (tan B)))) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (cos B) (/ -1 (sin B)) (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))
5.0ms
B
@inf
((* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (+ (* F (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2))) (/ (neg x) (tan B))) (/ 1 (sin B)) (sin B) (+ (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)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* (neg x) (/ (cos B) (sin B))) (neg x) (/ (cos B) (sin B)) (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)))) (neg (* x (/ 1 (tan B)))) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (cos B) (/ -1 (sin B)) (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F))

simplify246.0ms (1.9%)

Memory
14.4MiB live, 285.2MiB allocated
Algorithm
1×egg-herbie
Rules
9 606×lower-fma.f64
9 606×lower-fma.f32
6 370×lower-+.f64
6 370×lower-+.f32
6 186×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124617623
1385117154
0807015712
Stop Event
1×iter limit
1×node limit
Counts
636 → 635
Calls
Call 1
Inputs
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B)
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B)
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) 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 (* 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 (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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1
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(* (* 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))))))
(* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (sin B)))))
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (* (sin B) (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)))) (* (sin B) (sqrt -1/2)))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (* (sin B) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (sqrt -1/2)) (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 (+ (* -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)))))
(* -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)
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (/ 1 (* x (sin B))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (/ 1 (* x (sin B))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (/ 1 (* x (sin B))) (/ (cos B) (sin B)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(* (/ (* F (* (sqrt -1) (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)))))
(/ (* 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)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* (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 (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))
(* -1 (* (/ (* (sin B) (* (sqrt -2) (sqrt -1))) F) (sqrt x)))
(* -1 (* x (+ (* 1/2 (* (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (* F (sqrt -2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sin B) (* (sqrt -2) (sqrt -1))) F) (sqrt (/ 1 x))))))
(* -1 (* x (+ (* -1/8 (* (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* F (pow (sqrt -2) 3))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/2 (* (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (* F (sqrt -2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sin B) (* (sqrt -2) (sqrt -1))) F) (sqrt (/ 1 x)))))))
(* -1 (* x (+ (* -1/8 (* (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* F (pow (sqrt -2) 3))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 3))) (* F (pow (sqrt -2) 5))) (sqrt (/ 1 (pow x 7))))) (+ (* 1/2 (* (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (* F (sqrt -2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sin B) (* (sqrt -2) (sqrt -1))) F) (sqrt (/ 1 x))))))))
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))
Outputs
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) B)
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B)
(/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) B)
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (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 x #s(literal 2 binary64) #s(literal 2 binary64))))) (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64))) (*.f64 B B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) B)
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B)
(/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64))) (*.f64 B B) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))) (*.f64 B B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) B)
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #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 F F (fma.f64 x #s(literal 2 binary64) #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) (* (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 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #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 F F (fma.f64 x #s(literal 2 binary64) #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 F F (fma.f64 x #s(literal 2 binary64) #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) (* (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 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 F #s(literal -7/360 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (fma.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) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))) (*.f64 B B) (*.f64 x #s(literal 1/45 binary64)))) (*.f64 B B) (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 x #s(literal 2 binary64) #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 F F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) F (neg.f64 x))) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) 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)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) 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)
B
(* B (+ 1 (* -1/6 (pow B 2))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(*.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)
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 B B) #s(literal 1/120 binary64)) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) 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 x #s(literal 2 binary64) #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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(*.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(*.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(*.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (neg.f64 x))
(* -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)))
(*.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)))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))))
(+ (* -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)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))))) (neg.f64 (*.f64 (*.f64 x x) x)))))
(* -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)))
(*.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)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) #s(literal 1/8 binary64) (*.f64 #s(literal -1/4 binary64) (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 F F #s(literal 2 binary64))) x) #s(literal 1/16 binary64) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/8 binary64))) (neg.f64 x)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (* (/ (* (sin B) (* (sqrt -2) (sqrt -1))) F) (sqrt x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) F))
(* -1 (* x (+ (* 1/2 (* (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (* F (sqrt -2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sin B) (* (sqrt -2) (sqrt -1))) F) (sqrt (/ 1 x))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) F))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* F (pow (sqrt -2) 3))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/2 (* (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (* F (sqrt -2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sin B) (* (sqrt -2) (sqrt -1))) F) (sqrt (/ 1 x)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) F))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) F))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* F (pow (sqrt -2) 3))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* (sin B) (* (sqrt -1) (pow (+ 2 (pow F 2)) 3))) (* F (pow (sqrt -2) 5))) (sqrt (/ 1 (pow x 7))))) (+ (* 1/2 (* (/ (* (sin B) (* (sqrt -1) (+ 2 (pow F 2)))) (* F (sqrt -2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sin B) (* (sqrt -2) (sqrt -1))) F) (sqrt (/ 1 x))))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) F))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 B) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 5 binary64)) F))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) F))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (neg.f64 x))
(* (* 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) (*.f64 (*.f64 x x) 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))))) (+ (* 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 1/16 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 F F #s(literal 2 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 5 binary64)))) (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) (*.f64 (*.f64 x x) 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 (/ (+ (* -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) (*.f64 (*.f64 x x) 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)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 F (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 x x) x)))

rewrite290.0ms (2.2%)

Memory
21.1MiB live, 260.8MiB allocated
Rules
6 942×lower-fma.f32
6 928×lower-fma.f64
4 756×lower-/.f32
4 738×lower-/.f64
3 632×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054323
085295
1357268
22902268
08665268
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 1 048
Calls
Call 1
Inputs
(*.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)))
(fma.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)))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(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 (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)))))
#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))))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 x)
(/.f64 (cos.f64 B) (sin.f64 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))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (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 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.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))))
(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))
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(cos.f64 B)
(/.f64 #s(literal -1 binary64) (sin.f64 B))
(/.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 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F)
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (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)) #s(literal 1 binary64)))
(*.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)) #s(literal 1 binary64)))
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(*.f64 (sin.f64 B) (/.f64 (/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) F) #s(literal 1 binary64)))
(*.f64 (sin.f64 B) (/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) F))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) F) (sin.f64 B)))
(pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) F) (sin.f64 B)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (neg.f64 (neg.f64 F)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) F)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 B)))) (neg.f64 (neg.f64 (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (/.f64 (sin.f64 B) F)) (neg.f64 (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 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (/.f64 F (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (*.f64 #s(literal 1 binary64) F)))
(/.f64 (neg.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 F))
(/.f64 (neg.f64 (neg.f64 (sin.f64 B))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 B))) (neg.f64 (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))))
(/.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) F))
(/.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F)
(/.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 (*.f64 (/.f64 (sin.f64 B) (neg.f64 F)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 B)) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (sin.f64 B)) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (sin.f64 B)) (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) F) (sin.f64 B)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.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 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F)))
(/.f64 (sin.f64 B) (*.f64 #s(literal 1 binary64) (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 (sin.f64 B) (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F))))
(/.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) F))
(neg.f64 (*.f64 (/.f64 (sin.f64 B) (neg.f64 F)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))) (/.f64 (sin.f64 B) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (*.f64 (/.f64 (sin.f64 B) (neg.f64 F)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) F) (sin.f64 B)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) F) (sin.f64 B)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) F) (sin.f64 B))))
(*.f64 (*.f64 F (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (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 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) F))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F)
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) F)) (neg.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 F #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 (*.f64 F #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 (neg.f64 F) (neg.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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)))))

eval312.0ms (2.4%)

Memory
-0.7MiB live, 484.6MiB allocated
Compiler

Compiled 58 655 to 4 004 computations (93.2% saved)

prune310.0ms (2.4%)

Memory
50.1MiB live, 601.8MiB allocated
Pruning

53 alts after pruning (52 fresh and 1 done)

PrunedKeptTotal
New1 923511 974
Fresh18119
Picked415
Done000
Total1 945531 998
Accuracy
100.0%
Counts
1 998 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.2%
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
63.6%
(fma.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))) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
56.1%
(fma.f64 F #s(approx (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B)))
87.2%
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
58.4%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)) (sin.f64 B))))
63.6%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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))))
31.3%
#s(approx (+ (* F (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2))) (/ (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))))
48.5%
#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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
32.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 F F) (*.f64 x (neg.f64 x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))
50.3%
#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 F (*.f64 B B)) #s(literal 1/6 binary64) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
24.0%
#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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
46.0%
#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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
10.0%
#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 (fma.f64 (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x x)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) x))) F (neg.f64 x)) B))
33.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) F (neg.f64 x)) B))
50.7%
#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 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
31.4%
#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 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
17.1%
#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))
12.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x)) B))
30.5%
#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)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F (neg.f64 x)) B))
34.2%
#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))
31.4%
#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))
17.1%
#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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x)) B))
50.9%
#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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B))
48.6%
#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)))
55.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B)))
55.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (neg.f64 x) (tan.f64 B)))
▶25.1%
#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)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B))
30.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))) B))
34.2%
#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)) (-.f64 #s(literal 1 binary64) x)) B))
31.4%
#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 #s(literal -1 binary64) x)) B))
20.6%
#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 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) x)) B))
20.5%
#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)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
▶32.5%
#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)) (neg.f64 x)) B))
▶55.7%
#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 (neg.f64 (tan.f64 B)) x)))
50.8%
#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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))
48.6%
#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))))
55.6%
#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) (tan.f64 B)) x))
42.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
✓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))))
32.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 #s(literal -1/2 binary64) (*.f64 B B) #s(literal 1 binary64))) (sin.f64 B))))
34.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #s(literal 1 binary64)) (sin.f64 B))))
32.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))
32.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))
32.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))
32.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B))))
28.5%
#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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) B))))
25.1%
#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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
30.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
18.5%
#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) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
31.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x)) B)))
10.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
▶32.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)))
32.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
Compiler

Compiled 2 082 to 1 240 computations (40.4% saved)

simplify164.0ms (1.2%)

Memory
-25.1MiB live, 143.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (tan.f64 B))
cost-diff0
(/.f64 (neg.f64 (tan.f64 B)) x)
cost-diff0
#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 (neg.f64 (tan.f64 B)) x)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x))
cost-diff128
(-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B)))
cost-diff320
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)
cost-diff512
(-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)))
cost-diff704
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))
cost-diff0
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B))
cost-diff384
(fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.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
(sin.f64 B)
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 B))
cost-diff320
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
cost-diff1088
(/.f64 (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) F))
Rules
14 220×lower-fma.f32
14 206×lower-fma.f64
4 022×lower-*.f32
4 008×lower-*.f64
2 278×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078624
0118600
1211572
2411532
31043504
43425498
57088498
08132492
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.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))))) (/.f64 #s(literal 1 binary64) F))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
x
#s(literal 2 binary64)
(fma.f64 F F #s(literal 2 binary64))
F
(/.f64 #s(literal 1 binary64) F)
(/.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 #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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 F F)
F
#s(literal 1/2 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))))) #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) 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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B)))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))
(-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
#s(literal -1/6 binary64)
(*.f64 #s(literal 1/120 binary64) x)
#s(literal 1/120 binary64)
(*.f64 B B)
B
(neg.f64 x)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x))
#s(literal 1 binary64)
(/.f64 (neg.f64 (tan.f64 B)) x)
(neg.f64 (tan.f64 B))
(tan.f64 B)
B
x
Outputs
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.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))))) (/.f64 #s(literal 1 binary64) F))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(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))
F
(/.f64 #s(literal 1 binary64) F)
(/.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 #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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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)) (-.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F)))) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B)
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F)))) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F)))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 F F)
F
#s(literal 1/2 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))))) #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (fma.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)) B (/.f64 (neg.f64 x) 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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B))
#s(approx (* (neg x) (/ (cos B) (sin B))) (fma.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)) B (/.f64 (neg.f64 x) B)))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)
(fma.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)) B (/.f64 (neg.f64 x) B))
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x))
(fma.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B)))
(fma.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))
(*.f64 (*.f64 (*.f64 B B) x) #s(literal -1/45 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)))
(*.f64 x #s(literal -1/45 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))
(*.f64 #s(literal 23/360 binary64) x)
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
#s(literal -1/6 binary64)
(*.f64 #s(literal 1/120 binary64) x)
#s(literal 1/120 binary64)
(*.f64 B B)
B
(neg.f64 x)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.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 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x))
(/.f64 (neg.f64 x) (tan.f64 B))
#s(literal 1 binary64)
(/.f64 (neg.f64 (tan.f64 B)) x)
(neg.f64 (tan.f64 B))
(tan.f64 B)
B
x

localize232.0ms (1.8%)

Memory
-16.8MiB live, 274.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 (tan.f64 B))
accuracy0.109375
(/.f64 (neg.f64 (tan.f64 B)) x)
accuracy0.25619125976844204
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x))
accuracy28.222809142247876
#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 (neg.f64 (tan.f64 B)) x)))
accuracy3.022994116308054
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)
accuracy7.0745708745455
(*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))
accuracy27.511703556359834
#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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B))
accuracy28.222809142247876
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)))
accuracy0.0546875
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B)
accuracy4.674581648761442
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F))
accuracy27.38849556801323
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B))
accuracy40.93200953233561
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
accuracy0
(neg.f64 x)
accuracy0.0546875
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)
accuracy27.38849556801323
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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))
accuracy28.102639354309375
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))
accuracy0.12109375
(/.f64 (neg.f64 x) (tan.f64 B))
accuracy0.18359375
(/.f64 (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) F))
accuracy0.35420567723603896
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
accuracy16.46401535434093
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
Samples
187.0ms256×0valid
Compiler

Compiled 500 to 71 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-div: 27.0ms (22.2% of total)
ival-add: 25.0ms (20.6% of total)
ival-mult: 24.0ms (19.7% of total)
const: 14.0ms (11.5% of total)
ival-sin: 6.0ms (4.9% of total)
ival-cos: 5.0ms (4.1% of total)
ival-pow: 5.0ms (4.1% of total)
ival-tan: 4.0ms (3.3% of total)
ival-neg: 4.0ms (3.3% of total)
ival-sub: 3.0ms (2.5% of total)
ival-sqrt: 3.0ms (2.5% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series89.0ms (0.7%)

Memory
-10.8MiB live, 110.0MiB allocated
Counts
27 → 660
Calls
Call 1
Inputs
#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) F)) (patch (/.f64 (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) F)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) (/.f64 (neg.f64 x) (tan.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 #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)) (patch (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (patch (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B) (patch (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (patch (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) 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(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x))) (patch #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 (neg.f64 (tan.f64 B)) x))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (tan.f64 B)) x) (patch (/.f64 (neg.f64 (tan.f64 B)) x) #<representation binary64>) () ())
#s(alt (neg.f64 (tan.f64 B)) (patch (neg.f64 (tan.f64 B)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) (tan.f64 B)) (patch (/.f64 (neg.f64 x) (tan.f64 B)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (patch (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B))) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B))) #<representation binary64>) () ())
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Outputs
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#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 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
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#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 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ 1 B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/6 (pow B 2))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt B (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (* -1/6 (pow B 2)))) (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.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 #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>) () ())) ())
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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)) (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 (/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#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 (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#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 (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#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 (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#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 (/ (- (* 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.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)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.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) (* (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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.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) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B) #<representation binary64>) () ())) ())
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#s(alt (* -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))))) (taylor -inf x) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B))) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)) (patch #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)) (patch #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)) (patch #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)) (patch #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)) #<representation binary64>) () ())) ())
#s(alt (* -1/45 (* (pow B 2) x)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B)) #<representation binary64>) () ())) ())
#s(alt (* -1/45 (* (pow B 2) x)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B)) #<representation binary64>) () ())) ())
#s(alt (* -1/45 (* (pow B 2) x)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B)) #<representation binary64>) () ())) ())
#s(alt (* -1/45 (* (pow B 2) x)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
9.0ms
F
@0
((/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) (+ (* (/ 1 (sin B)) (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F))) (/ (neg x) (tan B))) (/ 1 (sin B)) (sin B) (+ (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) (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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) -1/6) (* 1/120 x)) (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (/ 1 (/ (neg (tan B)) x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg (tan B)) x) (neg (tan B)) (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 (+ (* x 2) (+ (* F F) 2))) (/ (neg x) (tan B)) (/ (+ (* x 2) 2) (* F F)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* (neg x) (/ (cos B) (sin B))) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B)))
5.0ms
B
@inf
((/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) (+ (* (/ 1 (sin B)) (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F))) (/ (neg x) (tan B))) (/ 1 (sin B)) (sin B) (+ (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) (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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) -1/6) (* 1/120 x)) (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (/ 1 (/ (neg (tan B)) x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg (tan B)) x) (neg (tan B)) (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 (+ (* x 2) (+ (* F F) 2))) (/ (neg x) (tan B)) (/ (+ (* x 2) 2) (* F F)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* (neg x) (/ (cos B) (sin B))) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B)))
5.0ms
x
@0
((/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) (+ (* (/ 1 (sin B)) (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F))) (/ (neg x) (tan B))) (/ 1 (sin B)) (sin B) (+ (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) (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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) -1/6) (* 1/120 x)) (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (/ 1 (/ (neg (tan B)) x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg (tan B)) x) (neg (tan B)) (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 (+ (* x 2) (+ (* F F) 2))) (/ (neg x) (tan B)) (/ (+ (* x 2) 2) (* F F)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* (neg x) (/ (cos B) (sin B))) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B)))
5.0ms
B
@-inf
((/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) (+ (* (/ 1 (sin B)) (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F))) (/ (neg x) (tan B))) (/ 1 (sin B)) (sin B) (+ (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) (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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) -1/6) (* 1/120 x)) (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (/ 1 (/ (neg (tan B)) x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg (tan B)) x) (neg (tan B)) (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 (+ (* x 2) (+ (* F F) 2))) (/ (neg x) (tan B)) (/ (+ (* x 2) 2) (* F F)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* (neg x) (/ (cos B) (sin B))) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B)))
5.0ms
x
@-inf
((/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) (+ (* (/ 1 (sin B)) (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F))) (/ (neg x) (tan B))) (/ 1 (sin B)) (sin B) (+ (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) (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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) -1/6) (* 1/120 x)) (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (/ 1 (/ (neg (tan B)) x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (neg (tan B)) x) (neg (tan B)) (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 (+ (* x 2) (+ (* F F) 2))) (/ (neg x) (tan B)) (/ (+ (* x 2) 2) (* F F)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* (neg x) (/ (cos B) (sin B))) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B)))

simplify332.0ms (2.5%)

Memory
34.4MiB live, 261.2MiB allocated
Algorithm
1×egg-herbie
Rules
12 422×lower-fma.f64
12 422×lower-fma.f32
7 754×lower-*.f64
7 754×lower-*.f32
4 906×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096315818
1291414963
0827913802
Stop Event
1×iter limit
1×node limit
Counts
660 → 659
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)
(/ 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 (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)
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(* -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)))))
(* 23/360 x)
(* 23/360 x)
(* 23/360 x)
(* 23/360 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1/45 x)
(* -1 (/ (* x (+ 1 (* -1 (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2))))))) B))
(* -1 (/ (* x (+ 1 (* -1 (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2))))))) B))
(* -1 (/ (* x (+ 1 (* -1 (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2))))))) B))
(* -1 (/ (* x (+ 1 (* -1 (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2))))))) B))
(* x (+ 1/3 (* 1/45 (pow B 2))))
(* x (+ 1/3 (* 1/45 (pow B 2))))
(* x (+ 1/3 (* 1/45 (pow B 2))))
(* x (+ 1/3 (* 1/45 (pow B 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)))
(* -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 (/ (sin B) (* x (cos B))))
(* -1 (/ (sin B) (* x (cos B))))
(* -1 (/ (sin B) (* x (cos B))))
(* -1 (/ (sin B) (* x (cos B))))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(/ 1/2 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))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* 2 (/ x (pow F 2)))
(* x (+ (* 2 (/ 1 (* (pow F 2) x))) (* 2 (/ 1 (pow F 2)))))
(* x (+ (* 2 (/ 1 (* (pow F 2) x))) (* 2 (/ 1 (pow F 2)))))
(* x (+ (* 2 (/ 1 (* (pow F 2) x))) (* 2 (/ 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 (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1/45 (* (pow B 2) x))
(* -1/45 (* (pow B 2) x))
(* -1/45 (* (pow B 2) x))
(* -1/45 (* (pow B 2) x))
Outputs
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) 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)
(/ (+ (* -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 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (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 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) 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) (* (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 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (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 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 F #s(literal -7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (fma.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) (* (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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) 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)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) 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)
B
(* B (+ 1 (* -1/6 (pow B 2))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(*.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)
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 B B) #s(literal 1/120 binary64)) (*.f64 B B) #s(literal -1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) 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)
(/ (- (+ (* 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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)
(* -1 (/ x B))
(/.f64 (neg.f64 x) B)
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)
(/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)
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(*.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)))
(*.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)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(*.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(*.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))))) x)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(*.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 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))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))))) x)) (neg.f64 x))
(* -1 (/ (sin B) (* x (cos B))))
(/.f64 (neg.f64 (sin.f64 B)) (*.f64 (cos.f64 B) x))
(* -1 (/ (sin B) (* x (cos B))))
(/.f64 (neg.f64 (sin.f64 B)) (*.f64 (cos.f64 B) x))
(* -1 (/ (sin B) (* x (cos B))))
(/.f64 (neg.f64 (sin.f64 B)) (*.f64 (cos.f64 B) x))
(* -1 (/ (sin B) (* x (cos B))))
(/.f64 (neg.f64 (sin.f64 B)) (*.f64 (cos.f64 B) x))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (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) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (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) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 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 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -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)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 F F #s(literal 2 binary64))) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1/64 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (neg.f64 (*.f64 (*.f64 x x) x)))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (* 1/4 (/ (+ 2 (pow F 2)) x)) 1/2) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) x) #s(literal 1/8 binary64) (*.f64 #s(literal -1/4 binary64) (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 F F #s(literal 2 binary64))) x) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 F F #s(literal 2 binary64))) (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 x)) (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x))
(* -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)))
(*.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)))
(* 2 (/ x (pow F 2)))
(*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))
(* x (+ (* 2 (/ 1 (* (pow F 2) x))) (* 2 (/ 1 (pow F 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 F x) F)) (/.f64 #s(literal 2 binary64) (*.f64 F F))) x)
(* x (+ (* 2 (/ 1 (* (pow F 2) x))) (* 2 (/ 1 (pow F 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 F x) F)) (/.f64 #s(literal 2 binary64) (*.f64 F F))) x)
(* x (+ (* 2 (/ 1 (* (pow F 2) x))) (* 2 (/ 1 (pow F 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 F x) F)) (/.f64 #s(literal 2 binary64) (*.f64 F F))) x)
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(*.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(*.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))))) x)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(*.f64 (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 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))) (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) F) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sin.f64 B)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))))) x)) (neg.f64 x))
(* -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)))
(*.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)))
(* -1/45 (* (pow B 2) x))
(*.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 B B) x))
(* -1/45 (* (pow B 2) x))
(*.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 B B) x))
(* -1/45 (* (pow B 2) x))
(*.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 B B) x))
(* -1/45 (* (pow B 2) x))
(*.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 B B) x))

rewrite493.0ms (3.7%)

Memory
-67.5MiB live, 222.9MiB allocated
Rules
4 460×lower-fma.f32
4 446×lower-fma.f64
4 332×lower-*.f32
4 318×lower-*.f64
3 038×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078528
0118494
1504450
24049450
08159439
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 565
Calls
Call 1
Inputs
(/.f64 (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) F))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (sin.f64 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)) (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)
(fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))
(-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)
(-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.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 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)))
(/.f64 (neg.f64 (tan.f64 B)) x)
(neg.f64 (tan.f64 B))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) 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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B))
(*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))
Outputs
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64)) (neg.f64 F))
(*.f64 (*.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) F)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F)
(*.f64 F (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) F)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) F))
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(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (tan.f64 B)))
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(*.f64 (pow.f64 (/.f64 (*.f64 F F) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 8 binary64) #s(literal 8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 4 binary64)) x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 (/.f64 F (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) F) (/.f64 #s(literal 2 binary64) F))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 F F)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 F) F)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)))
(pow.f64 (/.f64 F (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 F (/.f64 F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 F (/.f64 F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F))) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 8 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F))) (fma.f64 (*.f64 x #s(literal 4 binary64)) x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) (neg.f64 F))
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (neg.f64 (*.f64 (neg.f64 F) F)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (*.f64 F F)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 8 binary64) #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))) (*.f64 F F)))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) F)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -4 binary64)) (*.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 8 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 F F) (fma.f64 (*.f64 x #s(literal 4 binary64)) x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 F) F))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 F (/.f64 F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F (/.f64 F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 F F)))
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (neg.f64 F) F)))
(exp.f64 (*.f64 (log.f64 (*.f64 F (/.f64 F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal -1 binary64)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))))) (*.f64 B B) (neg.f64 x)) B)))
#s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))))) (*.f64 B B) (neg.f64 x)) B))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))) B) B)
(*.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))))
(*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))
(*.f64 B (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))) B))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x)) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x)))) (*.f64 B B)) (fma.f64 #s(literal 1/24 binary64) x (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x)) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x)))) (*.f64 B B)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x)) (fma.f64 #s(literal 1/24 binary64) x (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))))))
(/.f64 (*.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x)) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))))) (fma.f64 #s(literal 1/24 binary64) x (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))))
(/.f64 (*.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x)) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))))) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x)) (fma.f64 #s(literal 1/24 binary64) x (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))))))
(fma.f64 (*.f64 B B) (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 B B) (neg.f64 (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x)))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 B B) (*.f64 (neg.f64 (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B)))
(+.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 B B)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B)))
(+.f64 (*.f64 (*.f64 B B) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 (*.f64 B B) (neg.f64 (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x)))))

eval527.0ms (4%)

Memory
33.1MiB live, 255.6MiB allocated
Compiler

Compiled 37 860 to 2 750 computations (92.7% saved)

prune358.0ms (2.7%)

Memory
-37.5MiB live, 337.7MiB allocated
Pruning

67 alts after pruning (64 fresh and 3 done)

PrunedKeptTotal
New1 234281 262
Fresh113647
Picked325
Done011
Total1 248671 315
Accuracy
100.0%
Counts
1 315 → 67
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.6%
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
58.5%
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
63.6%
(fma.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))) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
56.1%
(fma.f64 F #s(approx (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B)))
▶87.2%
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
31.3%
#s(approx (+ (* (/ 1 (sin B)) (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F))) (/ (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))))
48.5%
#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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
32.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 F F) (*.f64 x (neg.f64 x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))
50.3%
#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 F (*.f64 B B)) #s(literal 1/6 binary64) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
33.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) F (neg.f64 x)) B))
50.7%
#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 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
31.4%
#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 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
▶17.1%
#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))
▶12.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x)) B))
30.5%
#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)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F (neg.f64 x)) B))
34.2%
#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))
31.4%
#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))
▶17.1%
#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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x)) B))
55.6%
#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) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x)))
50.9%
#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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B))
48.6%
#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)))
55.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (neg.f64 x) (tan.f64 B)))
30.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))) B))
25.1%
#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)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (/.f64 #s(literal 1/2 binary64) F) (-.f64 #s(literal -1 binary64) x))) B))
25.1%
#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)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B))
15.8%
#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)) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 F F)))) B))
25.1%
#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)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B))
5.9%
#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 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 F F) (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 F F)))) B))
27.8%
#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 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
34.2%
#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)) (-.f64 #s(literal 1 binary64) x)) B))
▶31.4%
#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 #s(literal -1 binary64) x)) B))
20.6%
#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 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) x)) B))
20.5%
#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)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
✓32.5%
#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)) (neg.f64 x)) B))
9.5%
#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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (+.f64 #s(literal 1 binary64) x)) (*.f64 F F)))) B))
2.4%
#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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) B))
7.8%
#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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
19.9%
#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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
32.4%
#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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
50.8%
#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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))
55.6%
#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 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (tan.f64 B))))
55.7%
#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 (tan.f64 B) x)))
48.6%
#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))))
32.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))
55.6%
#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) (tan.f64 B)) x))
42.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
✓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))))
32.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 #s(literal -1/2 binary64) (*.f64 B B) #s(literal 1 binary64))) (sin.f64 B))))
34.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #s(literal 1 binary64)) (sin.f64 B))))
32.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))
32.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))
28.5%
#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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) B))))
30.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
25.1%
#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 #s(literal 1 binary64) x) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 #s(literal 1 binary64) x) B))))
18.5%
#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) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
32.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
31.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x)) B)))
10.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
32.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 B B) (neg.f64 (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x)))))) (*.f64 B B) (neg.f64 x)) B)))
✓32.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 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 (* (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) (/.f64 (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/324 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (-.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 #s(literal 1/18 binary64) x)))))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)))
20.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (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) (/.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x x)) (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal -1/120 binary64) x)))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)))
20.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (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) (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x x)) (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal -1/120 binary64) x))))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)))
32.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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) #s(approx (+ (* (* -1/3 x) -1/6) (* 1/120 x)) (*.f64 #s(literal 23/360 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)))
32.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (/.f64 (*.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)) x) B))))
1.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (fma.f64 #s(literal 23/360 binary64) x (fma.f64 (/.f64 x (*.f64 B B)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/24 binary64) x))) (*.f64 (*.f64 B B) B)))))
2.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 binary64)) B))))
Compiler

Compiled 2 700 to 1 573 computations (41.7% saved)

simplify128.0ms (1%)

Memory
6.6MiB live, 120.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
cost-diff0
(fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x))
cost-diff0
(/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x)) B))
cost-diff0
#s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
cost-diff0
(fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x))
cost-diff0
(/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x)) B))
cost-diff0
(sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x)))
cost-diff0
(fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x))
cost-diff0
(/.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)
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 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
cost-diff0
(/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
cost-diff0
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x))
cost-diff0
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Rules
4 020×lower-fma.f32
4 008×lower-fma.f64
2 378×lower-*.f32
2 368×lower-*.f64
1 560×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070734
0106695
1168665
2266665
3489665
4784665
51356665
62164665
73768665
85323665
96432665
107416665
08027665
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x))
(/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
F
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
x
#s(literal 2 binary64)
(fma.f64 F F #s(literal 2 binary64))
(*.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 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
(/.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)
(fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x))
(sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x)) B))
(/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x)) B)
(fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x))
#s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
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)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x)) B))
(/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x)) B)
(fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x))
#s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
(/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 F F #s(literal 2 binary64))
F
#s(literal 2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
#s(literal 1 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/8 binary64)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 x)
B
Outputs
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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 #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)))))
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
F
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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))))
(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))
(*.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 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
(/.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)
(fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x))
(sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x)) B))
(/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x)) B)
(/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x)) B)
(fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x))
(fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x))
#s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
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)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) F (neg.f64 x)) B))
(/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x)) B)
(/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) F (neg.f64 x)) B)
(fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x))
(fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))) F (neg.f64 x))
#s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 F F #s(literal 2 binary64)))
(/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 F F #s(literal 2 binary64))
F
#s(literal 2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
#s(literal 1 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/8 binary64)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 x)
B

localize163.0ms (1.2%)

Memory
22.5MiB live, 260.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.84975517598349
(*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
accuracy13.96446413522233
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
accuracy17.93760353065077
#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)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x)) B))
accuracy26.973401929841483
#s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
accuracy0.109375
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.21875
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy17.93760353065077
#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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x)) B))
accuracy25.936660725172704
#s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
accuracy0.05859375
(fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x))
accuracy8.0826014297476
(sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x)))
accuracy17.93760353065077
#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))
accuracy26.2209323358629
#s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 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)
accuracy16.896345347380837
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))
accuracy17.93760353065077
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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))
accuracy0.09765625
(*.f64 (cos.f64 B) x)
accuracy0.125
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
accuracy0.125
(/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
accuracy8.156590417820158
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
Samples
66.0ms154×0valid
45.0ms102×0invalid
Compiler

Compiled 529 to 55 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-div: 18.0ms (22.4% of total)
ival-mult: 17.0ms (21.2% of total)
ival-add: 9.0ms (11.2% of total)
ival-sqrt: 8.0ms (10% of total)
ival-sub: 6.0ms (7.5% of total)
ival-sin: 5.0ms (6.2% of total)
ival-cos: 5.0ms (6.2% of total)
ival-pow: 5.0ms (6.2% of total)
ival-tan: 4.0ms (5% of total)
ival-neg: 3.0ms (3.7% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series90.0ms (0.7%)

Memory
13.5MiB live, 213.9MiB allocated
Counts
26 → 696
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (patch (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) #<representation binary64>) () ())
#s(alt (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (patch (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (patch (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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>) () ())
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#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 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) 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 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B)) #<representation binary64>) () ())
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) (patch (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())
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#s(alt (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x)) B) (patch (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x)) (patch (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x)) B)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x)) B) (patch (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x)) (patch (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (patch #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 B) x) (patch (*.f64 (cos.f64 B) x) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
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#s(alt (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (patch (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #<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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (patch (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (patch (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (patch (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (patch (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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>) () ())) ())
#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)) (-.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) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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)))))) x) B) (taylor 0 B) (#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 (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#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>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ 2 (pow F 2)) 2) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ 2 (pow F 2)) 3) x)) (* 1/8 (pow (+ 2 (pow F 2)) 2))) x)) (* 1/4 (+ 2 (pow F 2)))) x)) 1/2) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 1/2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 1/2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 1/2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 1/2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (* (pow (sqrt -1) 2) (+ 2 (pow F 2))) (sqrt 1/2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (patch (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (* (pow (sqrt -1) 2) (+ 2 (pow F 2))) (sqrt 1/2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (patch (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (* (pow (sqrt -1) 2) (+ 2 (pow F 2))) (sqrt 1/2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (patch (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (* (pow (sqrt -1) 2) (+ 2 (pow F 2))) (sqrt 1/2)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (patch (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (- (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (- (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (* (cos B) x)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sqrt (+ (* x 2) (+ (* 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)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 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)))) (+ (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)))) (* (cos B) x) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (sqrt 1/2) (sqrt (/ 1 x))) (sqrt (/ 1 x)) (sqrt (/ 1 (* (* x x) x))) (* (/ (+ (* F F) 2) (sqrt 1/2)) (sqrt (/ 1 (* (* x x) x)))))
5.0ms
B
@inf
((/ (- (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (- (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (* (cos B) x)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sqrt (+ (* x 2) (+ (* 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)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 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)))) (+ (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)))) (* (cos B) x) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (sqrt 1/2) (sqrt (/ 1 x))) (sqrt (/ 1 x)) (sqrt (/ 1 (* (* x x) x))) (* (/ (+ (* F F) 2) (sqrt 1/2)) (sqrt (/ 1 (* (* x x) x)))))
5.0ms
F
@-inf
((/ (- (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (- (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (* (cos B) x)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sqrt (+ (* x 2) (+ (* 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)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 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)))) (+ (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)))) (* (cos B) x) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (sqrt 1/2) (sqrt (/ 1 x))) (sqrt (/ 1 x)) (sqrt (/ 1 (* (* x x) x))) (* (/ (+ (* F F) 2) (sqrt 1/2)) (sqrt (/ 1 (* (* x x) x)))))
4.0ms
x
@0
((/ (- (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (- (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (* (cos B) x)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sqrt (+ (* x 2) (+ (* 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)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 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)))) (+ (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)))) (* (cos B) x) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (sqrt 1/2) (sqrt (/ 1 x))) (sqrt (/ 1 x)) (sqrt (/ 1 (* (* x x) x))) (* (/ (+ (* F F) 2) (sqrt 1/2)) (sqrt (/ 1 (* (* x x) x)))))
3.0ms
x
@inf
((/ (- (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (- (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (* (cos B) x)) (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) (sqrt (+ (* x 2) (+ (* 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)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 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)))) (+ (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)))) (* (cos B) x) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (sqrt 1/2) (sqrt (/ 1 x))) (sqrt (/ 1 x)) (sqrt (/ 1 (* (* x x) x))) (* (/ (+ (* F F) 2) (sqrt 1/2)) (sqrt (/ 1 (* (* x x) x)))))

simplify333.0ms (2.5%)

Memory
15.0MiB live, 478.3MiB allocated
Algorithm
1×egg-herbie
Rules
12 448×lower-fma.f64
12 448×lower-fma.f32
7 932×lower-*.f64
7 932×lower-*.f32
5 008×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095920567
1297819871
0835618108
Stop Event
1×iter limit
1×node limit
Counts
696 → 694
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)
(/ (- (+ (* 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)
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(* -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))
(* x (cos B))
(* x (cos B))
(* x (cos 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))
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 1/2)))
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 1/2)))
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 1/2)))
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 1/2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (/ (* (pow (sqrt -1) 2) (+ 2 (pow F 2))) (sqrt 1/2))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (/ (* (pow (sqrt -1) 2) (+ 2 (pow F 2))) (sqrt 1/2))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (/ (* (pow (sqrt -1) 2) (+ 2 (pow F 2))) (sqrt 1/2))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (/ (* (pow (sqrt -1) 2) (+ 2 (pow F 2))) (sqrt 1/2))))
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)
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(* -1 (/ (* x (cos B)) (sin B)))
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(* -1 (/ x B))
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(*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (/ (* (pow (sqrt -1) 2) (+ 2 (pow F 2))) (sqrt 1/2))))
(*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (/ (* (pow (sqrt -1) 2) (+ 2 (pow F 2))) (sqrt 1/2))))
(*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (/ (* (pow (sqrt -1) 2) (+ 2 (pow F 2))) (sqrt 1/2))))
(*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))

rewrite225.0ms (1.7%)

Memory
-1.4MiB live, 323.1MiB allocated
Rules
5 536×lower-*.f32
5 526×lower-*.f64
4 518×lower-fma.f32
4 506×lower-fma.f64
3 166×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070615
0106523
1431489
23109488
08840488
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 459
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x))
(/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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(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))
(/.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)
(fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x))
(sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x)) B))
(/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x)) B)
(fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) F (neg.f64 x))
#s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x)) B))
(/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x)) B)
(fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x))
#s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (cos.f64 B) x)
#s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
Outputs
(*.f64 (pow.f64 (/.f64 (sin.f64 B) (-.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))
(*.f64 (pow.f64 (/.f64 (sin.f64 B) (-.f64 (/.f64 (*.f64 (*.f64 F F) F) (*.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)))))) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)))
(*.f64 (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(pow.f64 (/.f64 (/.f64 (sin.f64 B) (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 B) (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 (neg.f64 x) (cos.f64 B))) (neg.f64 (sin.f64 B)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 F)) (*.f64 (neg.f64 x) (cos.f64 B))) (neg.f64 (sin.f64 B)))
(/.f64 (-.f64 (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 (neg.f64 x) (cos.f64 B))) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (fma.f64 (cos.f64 B) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 F F) F) (*.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)))))) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 (*.f64 (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 1 binary64)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (pow.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) #s(literal 2 binary64))) (+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(/.f64 (-.f64 (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 (pow.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) #s(literal 2 binary64)) (*.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 B) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 F F) F) (*.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)))))) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)))
(/.f64 (-.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 (sin.f64 B) (*.f64 (cos.f64 B) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))
(/.f64 (-.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (*.f64 x x))) (*.f64 (sin.f64 B) (fma.f64 (cos.f64 B) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 F F) F) (*.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)))))) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) (*.f64 (sin.f64 B) (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (neg.f64 (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 B) (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))
(/.f64 (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))) (sin.f64 B)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (sin.f64 B))))
(fma.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 F (sin.f64 B))) (neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sin.f64 B)) (neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(fma.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(fma.f64 F (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(fma.f64 F (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) #s(literal -1 binary64)))
(+.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))
(*.f64 (-.f64 (/.f64 (*.f64 F F) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) x (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))))
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(*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))))
(*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (neg.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (neg.f64 (fma.f64 F F #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) x))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 F F #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) x) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 x) x)))
(/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))))
(/.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) x)))

eval170.0ms (1.3%)

Memory
25.5MiB live, 320.3MiB allocated
Compiler

Compiled 41 116 to 2 763 computations (93.3% saved)

prune292.0ms (2.2%)

Memory
-11.5MiB live, 538.6MiB allocated
Pruning

76 alts after pruning (71 fresh and 5 done)

PrunedKeptTotal
New1 211221 233
Fresh104959
Picked325
Done033
Total1 224761 300
Accuracy
100.0%
Counts
1 300 → 76
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.1%
(fma.f64 F #s(approx (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B)))
59.0%
(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
58.5%
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
48.6%
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
65.6%
(/.f64 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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))
33.4%
(/.f64 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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))
31.3%
#s(approx (/ (- (/ F (sqrt (+ (* x 2) (+ (* 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))))
48.5%
#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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
32.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 F F) (*.f64 x (neg.f64 x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))
50.3%
#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 F (*.f64 B B)) #s(literal 1/6 binary64) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
24.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))))) F (neg.f64 x)) B))
33.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) F (neg.f64 x)) B))
50.7%
#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 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
31.4%
#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 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
✓17.1%
#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))
13.2%
#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)))) (fma.f64 (/.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) F (neg.f64 x)) B))
30.5%
#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)))) (fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) F (neg.f64 x)) B))
12.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) B))
17.1%
#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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))) F (neg.f64 x)) B))
17.1%
#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) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) F (neg.f64 x)) B))
34.2%
#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))
31.4%
#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))
24.7%
#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 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) F (neg.f64 x)) B))
17.2%
#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 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) F (neg.f64 x)) B))
55.6%
#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) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x)))
50.9%
#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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x) B))
55.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (neg.f64 x) (tan.f64 B)))
30.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))) B))
25.1%
#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)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (/.f64 #s(literal 1/2 binary64) F) (-.f64 #s(literal -1 binary64) x))) B))
25.1%
#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)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B))
25.1%
#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)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B))
5.9%
#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 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 F F) (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 F F)))) B))
28.1%
#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 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))) B))
18.6%
#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 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))) B))
18.6%
#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) (/.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))))) B))
28.1%
#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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) B))
34.2%
#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)) (-.f64 #s(literal 1 binary64) x)) B))
✓31.4%
#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 #s(literal -1 binary64) x)) B))
18.6%
#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 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))) B))
20.5%
#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)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
✓32.5%
#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)) (neg.f64 x)) B))
8.5%
#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 x) #s(literal -1 binary64))) B))
2.4%
#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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 F F)))) B))
7.8%
#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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
19.9%
#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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
32.4%
#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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
50.8%
#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 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))
55.6%
#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 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (tan.f64 B))))
55.7%
#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 (tan.f64 B) x)))
48.6%
#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))))
12.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) (/.f64 #s(literal 1 binary64) B)))
32.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))))
55.6%
#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) (tan.f64 B)) x))
42.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
✓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))))
32.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 #s(literal -1/2 binary64) (*.f64 B B) #s(literal 1 binary64))) (sin.f64 B))))
34.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #s(literal 1 binary64)) (sin.f64 B))))
32.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))
32.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))
28.5%
#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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) B))))
30.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
25.1%
#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 #s(literal 1 binary64) x) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 #s(literal 1 binary64) x) B))))
18.5%
#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) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
32.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
31.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x)) B)))
10.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
32.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 B B) (neg.f64 (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x)))))) (*.f64 B B) (neg.f64 x)) B)))
✓32.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 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 (* (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) (/.f64 (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/324 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (-.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 #s(literal 1/18 binary64) x)))))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)))
20.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (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) (/.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x x)) (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal -1/120 binary64) x)))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)))
20.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (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) (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x x)) (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal -1/120 binary64) x))))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)))
32.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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) #s(approx (+ (* (* -1/3 x) -1/6) (* 1/120 x)) (*.f64 #s(literal 23/360 binary64) x))) (*.f64 B B))) (*.f64 B B) (neg.f64 x)) B)))
32.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (/.f64 (*.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)) x) B))))
1.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (fma.f64 #s(literal 23/360 binary64) x (fma.f64 (/.f64 x (*.f64 B B)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/24 binary64) x))) (*.f64 (*.f64 B B) B)))))
2.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 binary64)) B))))
Compiler

Compiled 3 900 to 1 391 computations (64.3% saved)

regimes176.0ms (1.3%)

Memory
-2.6MiB live, 287.4MiB allocated
Counts
126 → 3
Calls
Call 1
Inputs
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(+.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))))
(/.f64 (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)) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B)))
Outputs
#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)))
(fma.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)))
#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)))))
Calls

4 calls:

50.0ms
B
49.0ms
F
35.0ms
(+.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))))))
34.0ms
x
Results
AccuracySegmentsBranch
99.7%3F
87.2%1B
87.2%1x
89.5%2(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
Compiler

Compiled 42 to 29 computations (31% saved)

regimes71.0ms (0.5%)

Memory
17.7MiB live, 96.0MiB allocated
Counts
116 → 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (/.f64 (*.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)) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))) (/.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 (+ (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 #s(literal 1 binary64) x) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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))))) #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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (+.f64 #s(literal 1 binary64) x)) (*.f64 F 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)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (+.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) 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 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 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))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal -1/2 binary64) (/.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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (fma.f64 #s(literal 23/360 binary64) x (fma.f64 (/.f64 x (*.f64 B B)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/24 binary64) x))) (*.f64 (*.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (/.f64 #s(literal 1/2 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 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))) 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 (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 (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)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 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))))) #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) #s(approx (+ (* (* -1/3 x) -1/6) (* 1/120 x)) (*.f64 #s(literal 23/360 binary64) x))) (*.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 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.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 (fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))))) F (neg.f64 x)) B))
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(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))))
Outputs
#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))))
(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) (sin.f64 B)) #s(approx (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

1 calls:

63.0ms
F
Results
AccuracySegmentsBranch
99.7%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes46.0ms (0.3%)

Memory
-27.2MiB live, 92.8MiB allocated
Counts
114 → 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (/.f64 (*.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)) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))) (/.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 (+ (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 #s(literal 1 binary64) x) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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))))) #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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (+.f64 #s(literal 1 binary64) x)) (*.f64 F 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)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (+.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) 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 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 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))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal -1/2 binary64) (/.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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (fma.f64 #s(literal 23/360 binary64) x (fma.f64 (/.f64 x (*.f64 B B)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/24 binary64) x))) (*.f64 (*.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (/.f64 #s(literal 1/2 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 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))) 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 (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 (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)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 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))))) #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) #s(approx (+ (* (* -1/3 x) -1/6) (* 1/120 x)) (*.f64 #s(literal 23/360 binary64) x))) (*.f64 B B))) (*.f64 B B) (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))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) 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))))) (/.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 (/.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)) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #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 (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 1/6 binary64) 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 (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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 F F) (*.f64 x (neg.f64 x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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) (/.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x x)) (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal -1/120 binary64) x)))) (*.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) (/.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))))) #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) (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x x)) (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal -1/120 binary64) x))))) (*.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 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x x)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) x))) 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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin 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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (/.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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) (tan.f64 B)) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #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 #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 #s(literal 1 binary64) (/.f64 (neg.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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 (* (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) (/.f64 (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/324 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (-.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 #s(literal 1/18 binary64) x)))))) (*.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 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 #s(literal -1/2 binary64) (*.f64 B B) #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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) F (/.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 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x)))
#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))))) (neg.f64 (*.f64 F (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64)))) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* F (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2))) (/ (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 (+ (* (/ 1 (sin B)) (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F))) (/ (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 (+ (* x 2) (+ (* 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 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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))
(/.f64 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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 (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))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) #s(approx (/ (neg x) (tan B)) (/.f64 (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 F (*.f64 B B)) #s(literal 1/6 binary64) 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 (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (cos.f64 B) (neg.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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* 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))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) #s(literal 1 binary64)) (/.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 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)) (sin.f64 B))))
(fma.f64 F #s(approx (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* 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 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))) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 (/.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)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 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 (/.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 (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 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 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

1 calls:

32.0ms
F
Results
AccuracySegmentsBranch
99.7%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes59.0ms (0.4%)

Memory
5.4MiB live, 81.9MiB allocated
Counts
109 → 3
Calls
Call 1
Inputs
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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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 F F) (*.f64 x (neg.f64 x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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) (/.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x x)) (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal -1/120 binary64) x)))) (*.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) (/.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))))) #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) (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x x)) (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal -1/120 binary64) x))))) (*.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 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x x)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) x))) 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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin 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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (/.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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) (tan.f64 B)) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #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 #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 #s(literal 1 binary64) (/.f64 (neg.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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 (* (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) (/.f64 (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/324 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (-.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 #s(literal 1/18 binary64) x)))))) (*.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 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 #s(literal -1/2 binary64) (*.f64 B B) #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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) F (/.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 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x)))
#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))))) (neg.f64 (*.f64 F (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64)))) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* F (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2))) (/ (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 (+ (* (/ 1 (sin B)) (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F))) (/ (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 (+ (* x 2) (+ (* 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 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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))
(/.f64 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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 (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))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) #s(approx (/ (neg x) (tan B)) (/.f64 (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 F (*.f64 B B)) #s(literal 1/6 binary64) 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 (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (cos.f64 B) (neg.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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* 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))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) #s(literal 1 binary64)) (/.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 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)) (sin.f64 B))))
(fma.f64 F #s(approx (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* 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 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))) #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x 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 (/.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)))))))
Outputs
#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))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

1 calls:

51.0ms
F
Results
AccuracySegmentsBranch
99.7%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes209.0ms (1.6%)

Memory
-8.4MiB live, 70.1MiB allocated
Counts
106 → 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) 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 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x x)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) x))) 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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin 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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (/.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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) (tan.f64 B)) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #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 #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 #s(literal 1 binary64) (/.f64 (neg.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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 (* (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) (/.f64 (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/324 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (-.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 #s(literal 1/18 binary64) x)))))) (*.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 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 #s(literal -1/2 binary64) (*.f64 B B) #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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) F (/.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 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x)))
#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))))) (neg.f64 (*.f64 F (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64)))) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* F (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2))) (/ (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 (+ (* (/ 1 (sin B)) (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F))) (/ (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 (+ (* x 2) (+ (* 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 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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))
(/.f64 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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 (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))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) #s(approx (/ (neg x) (tan B)) (/.f64 (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 F (*.f64 B B)) #s(literal 1/6 binary64) 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 (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (cos.f64 B) (neg.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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* 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))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) #s(literal 1 binary64)) (/.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 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)) (sin.f64 B))))
(fma.f64 F #s(approx (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* 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 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))) #s(approx (/ (neg x) (tan B)) (/.f64 (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 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))
(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

1 calls:

45.0ms
F
Results
AccuracySegmentsBranch
98.9%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes43.0ms (0.3%)

Memory
14.9MiB live, 50.4MiB allocated
Counts
103 → 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.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 #s(literal 1 binary64) (/.f64 (neg.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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 (* (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) (/.f64 (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/324 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (-.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 #s(literal 1/18 binary64) x)))))) (*.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 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 #s(literal -1/2 binary64) (*.f64 B B) #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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) F (/.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 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x)))
#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))))) (neg.f64 (*.f64 F (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64)))) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* F (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2))) (/ (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 (+ (* (/ 1 (sin B)) (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F))) (/ (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 (+ (* x 2) (+ (* 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 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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))
(/.f64 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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 (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))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) #s(approx (/ (neg x) (tan B)) (/.f64 (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 F (*.f64 B B)) #s(literal 1/6 binary64) 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 (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (cos.f64 B) (neg.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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* 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))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) #s(literal 1 binary64)) (/.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 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (sin B) (* (pow (+ (* x 2) (+ (* F F) 2)) -1/2) F)) (sin.f64 B))))
(fma.f64 F #s(approx (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) (/.f64 (neg.f64 x) (tan.f64 B)))
Outputs
#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))))
(+.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))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

1 calls:

35.0ms
F
Results
AccuracySegmentsBranch
92.5%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes38.0ms (0.3%)

Memory
7.6MiB live, 80.9MiB allocated
Counts
98 → 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (/.f64 (*.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)) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))) (/.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 (+ (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 #s(literal 1 binary64) x) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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))))) #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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (+.f64 #s(literal 1 binary64) x)) (*.f64 F 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)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (+.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) F (neg.f64 x)) B))
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#s(approx (+ (* F (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2))) (/ (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 (+ (* (/ 1 (sin B)) (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F))) (/ (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 (+ (* x 2) (+ (* 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 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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))
(/.f64 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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 (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))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) #s(approx (/ (neg x) (tan B)) (/.f64 (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 F (*.f64 B B)) #s(literal 1/6 binary64) 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 (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (cos.f64 B) (neg.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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* 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))))
Outputs
#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))))
(+.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 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Calls

1 calls:

31.0ms
F
Results
AccuracySegmentsBranch
92.5%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes42.0ms (0.3%)

Memory
-11.2MiB live, 41.6MiB 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (/.f64 (*.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)) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))) (/.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 (+ (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 #s(literal 1 binary64) x) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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))))) #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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (+.f64 #s(literal 1 binary64) x)) (*.f64 F 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)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (+.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) 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 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 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))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal -1/2 binary64) (/.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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (fma.f64 #s(literal 23/360 binary64) x (fma.f64 (/.f64 x (*.f64 B B)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/24 binary64) x))) (*.f64 (*.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (/.f64 #s(literal 1/2 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 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))) 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 (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 (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)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 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))))) #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) #s(approx (+ (* (* -1/3 x) -1/6) (* 1/120 x)) (*.f64 #s(literal 23/360 binary64) x))) (*.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 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.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 (fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))))) 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 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) 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)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 F F) (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 B B) (neg.f64 (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x)))))) (*.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 (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 (/.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)) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #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 (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 1/6 binary64) 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 (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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 F F) (*.f64 x (neg.f64 x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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) (/.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x x)) (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal -1/120 binary64) x)))) (*.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) (/.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))))) #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) (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x x)) (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal -1/120 binary64) x))))) (*.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 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x x)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) x))) 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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin 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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (/.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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) (tan.f64 B)) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #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 #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 #s(literal 1 binary64) (/.f64 (neg.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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 (* (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) (/.f64 (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/324 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (-.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 #s(literal 1/18 binary64) x)))))) (*.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 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 #s(literal -1/2 binary64) (*.f64 B B) #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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) F (/.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 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x)))
#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))))) (neg.f64 (*.f64 F (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64)))) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* F (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2))) (/ (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 (+ (* (/ 1 (sin B)) (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F))) (/ (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 (+ (* x 2) (+ (* 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 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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))
(/.f64 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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 (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))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) #s(approx (/ (neg x) (tan B)) (/.f64 (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 F (*.f64 B B)) #s(literal 1/6 binary64) 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 (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (cos.f64 B) (neg.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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Outputs
#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 (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 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Calls

1 calls:

35.0ms
F
Results
AccuracySegmentsBranch
92.5%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes115.0ms (0.9%)

Memory
24.9MiB live, 179.0MiB allocated
Counts
96 → 4
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (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))
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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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 F F) (*.f64 x (neg.f64 x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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) (/.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x x)) (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal -1/120 binary64) x)))) (*.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) (/.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))))) #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) (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x x)) (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal -1/120 binary64) x))))) (*.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 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x x)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) x))) 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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin 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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (/.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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) (tan.f64 B)) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #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 #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 #s(literal 1 binary64) (/.f64 (neg.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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 (* (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) (/.f64 (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/324 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (-.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 #s(literal 1/18 binary64) x)))))) (*.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 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 #s(literal -1/2 binary64) (*.f64 B B) #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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) F (/.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 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x)))
#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))))) (neg.f64 (*.f64 F (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64)))) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* F (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2))) (/ (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 (+ (* (/ 1 (sin B)) (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F))) (/ (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 (+ (* x 2) (+ (* 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 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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))
(/.f64 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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 (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))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) #s(approx (/ (neg x) (tan B)) (/.f64 (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 F (*.f64 B B)) #s(literal 1/6 binary64) 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 (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (cos.f64 B) (neg.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) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Outputs
#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 (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 (sqrt (+ (* x 2) (+ (* 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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

4 calls:

28.0ms
B
27.0ms
x
27.0ms
F
26.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
Results
AccuracySegmentsBranch
74.1%2B
80.4%3x
81.4%5(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
83.7%4F
Compiler

Compiled 42 to 29 computations (31% saved)

regimes63.0ms (0.5%)

Memory
-15.6MiB live, 96.2MiB allocated
Counts
94 → 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 #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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (/.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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) (tan.f64 B)) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #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 #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 #s(literal 1 binary64) (/.f64 (neg.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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 (* (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) (/.f64 (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/324 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (-.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 #s(literal 1/18 binary64) x)))))) (*.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 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 #s(literal -1/2 binary64) (*.f64 B B) #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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) F (/.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 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x)))
#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))))) (neg.f64 (*.f64 F (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64)))) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* F (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2))) (/ (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 (+ (* (/ 1 (sin B)) (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F))) (/ (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 (+ (* x 2) (+ (* 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 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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))
(/.f64 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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 (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))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) #s(approx (/ (neg x) (tan B)) (/.f64 (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 F (*.f64 B B)) #s(literal 1/6 binary64) 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 (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B)))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

2 calls:

27.0ms
x
27.0ms
F
Results
AccuracySegmentsBranch
80.4%3x
78.8%5F
Compiler

Compiled 8 to 6 computations (25% saved)

regimes37.0ms (0.3%)

Memory
15.6MiB live, 55.4MiB allocated
Counts
93 → 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (/.f64 (*.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)) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))) (/.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 (+ (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 #s(literal 1 binary64) x) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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))))) #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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (+.f64 #s(literal 1 binary64) x)) (*.f64 F 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)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (+.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) 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 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
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#s(approx (/ (- (/ F (sqrt (+ (* x 2) (+ (* 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 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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))
(/.f64 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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 (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))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) #s(approx (/ (neg x) (tan B)) (/.f64 (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 F (*.f64 B B)) #s(literal 1/6 binary64) 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))))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

1 calls:

30.0ms
x
Results
AccuracySegmentsBranch
80.4%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes118.0ms (0.9%)

Memory
-0.6MiB live, 183.0MiB allocated
Counts
88 → 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (/.f64 (*.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)) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))) (/.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 (+ (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 #s(literal 1 binary64) x) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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))))) #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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (+.f64 #s(literal 1 binary64) x)) (*.f64 F 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)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (+.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) 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 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 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))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal -1/2 binary64) (/.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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (fma.f64 #s(literal 23/360 binary64) x (fma.f64 (/.f64 x (*.f64 B B)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/24 binary64) x))) (*.f64 (*.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (/.f64 #s(literal 1/2 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 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))) 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 (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 (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)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 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))))) #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) #s(approx (+ (* (* -1/3 x) -1/6) (* 1/120 x)) (*.f64 #s(literal 23/360 binary64) x))) (*.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 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) 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(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (/ 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x))) (*.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 (fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))))) 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 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) 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)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 F F) (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 B B) (neg.f64 (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal 1/120 binary64) x)))))) (*.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 (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 (/.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)) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #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 (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 1/6 binary64) 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 (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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) 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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (*.f64 F F) (*.f64 x (neg.f64 x))) (*.f64 B (+.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #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) (/.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x x)) (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal -1/120 binary64) x)))) (*.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) F (neg.f64 x)) (/.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))))) #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) (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (*.f64 x x)) (*.f64 #s(literal 1/14400 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/18 binary64) x (*.f64 #s(literal -1/120 binary64) x))))) (*.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 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 F F #s(literal 2 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 x x)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) x))) 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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin 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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (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 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (/.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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) (tan.f64 B)) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 #s(approx (cos B) #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 #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 #s(literal 1 binary64) (/.f64 (neg.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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)))) (fma.f64 (*.f64 (/.f64 (fma.f64 F F #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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 (* (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) (/.f64 (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/324 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (-.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 #s(literal 1/18 binary64) x)))))) (*.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 (neg.f64 x) (/.f64 #s(approx (cos B) (fma.f64 #s(literal -1/2 binary64) (*.f64 B B) #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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (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))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 F F) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)) F (/.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 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x)))
#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))))) (neg.f64 (*.f64 F (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64)))) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* F (* (/ 1 (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2))) (/ (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 (+ (* (/ 1 (sin B)) (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F))) (/ (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 (+ (* x 2) (+ (* 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 #s(approx (- (/ F (sqrt (+ (* x 2) (+ (* 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))
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))))) 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 (neg.f64 x) (tan.f64 B)))
Calls

4 calls:

30.0ms
B
25.0ms
x
25.0ms
F
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))))))
Results
AccuracySegmentsBranch
74.1%2B
69.0%5F
66.8%5(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
75.4%3x
Compiler

Compiled 42 to 29 computations (31% saved)

regimes98.0ms (0.7%)

Memory
-12.9MiB live, 156.8MiB allocated
Counts
69 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (fma.f64 (*.f64 (*.f64 F F) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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))))) #s(approx (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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) (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)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))) B))
Calls

4 calls:

34.0ms
(+.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))))))
20.0ms
B
20.0ms
x
18.0ms
F
Results
AccuracySegmentsBranch
53.1%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))))))
57.2%3F
50.9%1x
52.9%2B
Compiler

Compiled 42 to 29 computations (31% saved)

regimes15.0ms (0.1%)

Memory
33.4MiB live, 33.4MiB allocated
Counts
43 → 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (/.f64 (*.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)) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))) (/.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 (+ (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 #s(literal 1 binary64) x) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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))))) #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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (+.f64 #s(literal 1 binary64) x)) (*.f64 F 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)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (+.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) 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 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 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))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal -1/2 binary64) (/.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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (fma.f64 #s(literal 23/360 binary64) x (fma.f64 (/.f64 x (*.f64 B B)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/24 binary64) x))) (*.f64 (*.f64 B B) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (/.f64 #s(literal 1/2 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 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))) 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 (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))))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 x #s(literal 2 binary64) (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)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))) B))
Calls

1 calls:

12.0ms
F
Results
AccuracySegmentsBranch
57.1%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory
-10.9MiB live, 28.3MiB allocated
Counts
37 → 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (/.f64 (*.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)) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))) (/.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 (+ (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 #s(literal 1 binary64) x) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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))))) #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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 F F) (+.f64 #s(literal 1 binary64) x)) (*.f64 F 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)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (+.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) 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 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F 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 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 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))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal -1/2 binary64) (/.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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 F F) B)) #s(literal 1/2 binary64) (/.f64 (-.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))))) #s(approx (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 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))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
Calls

1 calls:

10.0ms
F
Results
AccuracySegmentsBranch
57.0%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes43.0ms (0.3%)

Memory
3.7MiB live, 82.7MiB allocated
Counts
33 → 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (/.f64 (*.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)) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))) (/.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 (+ (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 #s(literal 1 binary64) x) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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))))) #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))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 -1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (+.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 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))) 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 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F 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)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 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)) (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 (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)) (-.f64 #s(literal 1 binary64) x)) B))
Calls

4 calls:

11.0ms
B
10.0ms
F
9.0ms
(+.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))))))
9.0ms
x
Results
AccuracySegmentsBranch
45.8%3x
34.2%1B
42.8%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))))))
51.1%4F
Compiler

Compiled 42 to 29 computations (31% saved)

regimes11.0ms (0.1%)

Memory
-17.2MiB live, 21.8MiB allocated
Counts
27 → 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (/.f64 (*.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)) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))) (/.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 (+ (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 #s(literal 1 binary64) x) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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))))) #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))))
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 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 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)) (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) (*.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 #s(literal 1 binary64) x)) B))
Calls

1 calls:

9.0ms
F
Results
AccuracySegmentsBranch
51.1%4F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (/.f64 (*.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)) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))) (/.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 (+ (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 #s(literal 1 binary64) x) (*.f64 B (*.f64 F F))) (/.f64 (+.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 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 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal 1/2 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 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 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)) (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:

8.0ms
F
Results
AccuracySegmentsBranch
46.3%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory
-19.9MiB live, 19.1MiB 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)) #s(approx (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (/.f64 (*.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)) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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))))) (/.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 (+ (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 #s(literal 1 binary64) x) (*.f64 B (*.f64 F F))) (/.f64 (+.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))))) #s(approx (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.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:

8.0ms
F
Results
AccuracySegmentsBranch
46.2%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
15 → 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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (/.f64 #s(literal 1 binary64) 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))))) #s(approx (* (neg x) (/ (cos B) (sin B))) #s(approx (/ (+ (* (- (* 1/3 x) (* (- (* 1/24 x) (+ (* (* -1/3 x) -1/6) (* 1/120 x))) (* B B))) (* B B)) (neg x)) B) (*.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/45 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 #s(approx (neg (tan B)) (neg.f64 B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ 1 (/ (neg (tan B)) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (* (neg x) (/ (cos B) (sin B))) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 B B) x)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -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 (+ (* (/ (+ (* x 2) 2) (* F F)) 1/2) (- -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.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 (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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:

5.0ms
F
Results
AccuracySegmentsBranch
46.2%3F
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Memory
15.5MiB live, 15.5MiB 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
37.2%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))))))
32.5%1x
38.0%2F
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes7.0ms (0.1%)

Memory
-19.8MiB live, 19.5MiB 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

3 calls:

3.0ms
F
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
B
Results
AccuracySegmentsBranch
32.5%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))))))
32.5%1B
32.5%1F
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes6.0ms (0%)

Memory
15.3MiB live, 15.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
1.0ms
F
1.0ms
x
1.0ms
B
Results
AccuracySegmentsBranch
8.5%1x
8.5%1B
8.5%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))))))
8.5%1F
Compiler

Compiled 42 to 29 computations (31% saved)

bsearch33.0ms (0.2%)

Memory
-22.6MiB live, 56.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
8.0ms
2.909468201749105e+146
2.067722784595661e+147
21.0ms
-1.4965433312258612e+168
-1.1696521567971878e+167
Samples
24.0ms128×0valid
Compiler

Compiled 351 to 244 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 5.0ms (24.5% of total)
ival-div: 4.0ms (19.6% of total)
ival-tan: 3.0ms (14.7% of total)
ival-pow: 3.0ms (14.7% of total)
ival-add: 2.0ms (9.8% of total)
ival-sin: 2.0ms (9.8% of total)
ival-neg: 1.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch82.0ms (0.6%)

Memory
29.8MiB live, 67.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
3676874.0782094393
170433765.41031745
50.0ms
-1119024869347231.0
-0.0034611668901685356
Samples
41.0ms272×0valid
5.0ms39×0invalid
Compiler

Compiled 676 to 458 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 7.0ms (18.8% of total)
ival-div: 6.0ms (16.1% of total)
ival-tan: 6.0ms (16.1% of total)
ival-sin: 5.0ms (13.5% of total)
ival-pow: 5.0ms (13.5% of total)
ival-add: 4.0ms (10.8% of total)
ival-neg: 3.0ms (8.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Memory
-4.5MiB live, 32.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
27.0ms
3676874.0782094393
170433765.41031745
1.0ms
-1.4965433312258612e+168
-1.1696521567971878e+167
Samples
23.0ms64×0valid
1.0ms11×0invalid
Compiler

Compiled 593 to 397 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 2.0ms (22.1% of total)
ival-tan: 2.0ms (22.1% of total)
ival-div: 1.0ms (11% of total)
ival-add: 1.0ms (11% of total)
ival-sin: 1.0ms (11% of total)
ival-pow: 1.0ms (11% of total)
ival-neg: 1.0ms (11% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
-27.6MiB live, 13.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
1.0ms
3676874.0782094393
170433765.41031745
11.0ms
-4.7119958654641125e+29
-1119024869347231.0
Samples
9.0ms32×0valid
0.0ms4×0invalid
Compiler

Compiled 371 to 249 computations (32.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (58.2% of total)
ival-div: 1.0ms (11.6% of total)
ival-sin: 1.0ms (11.6% of total)
ival-tan: 1.0ms (11.6% of total)
ival-pow: 1.0ms (11.6% 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)

bsearch76.0ms (0.6%)

Memory
41.9MiB live, 114.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
37.0ms
0.0005937701377725274
3676874.0782094393
32.0ms
-1119024869347231.0
-0.0034611668901685356
Samples
49.0ms304×0valid
5.0ms38×0invalid
Compiler

Compiled 733 to 496 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 8.0ms (18.3% of total)
ival-pow: 8.0ms (18.3% of total)
ival-tan: 7.0ms (16.1% of total)
ival-div: 6.0ms (13.8% of total)
ival-sin: 6.0ms (13.8% of total)
ival-add: 4.0ms (9.2% of total)
ival-neg: 3.0ms (6.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch115.0ms (0.9%)

Memory
-53.8MiB live, 62.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
61.0ms
0.0005937701377725274
3676874.0782094393
47.0ms
-1119024869347231.0
-0.0034611668901685356
Samples
62.0ms272×0valid
4.0ms28×0invalid
Compiler

Compiled 873 to 576 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 7.0ms (19.3% of total)
ival-div: 6.0ms (16.5% of total)
ival-tan: 6.0ms (16.5% of total)
ival-sin: 5.0ms (13.8% of total)
ival-pow: 5.0ms (13.8% of total)
ival-add: 4.0ms (11% of total)
ival-neg: 2.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
-4.3MiB live, 32.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.0005937701377725274
3676874.0782094393
1.0ms
-1119024869347231.0
-0.0034611668901685356
Samples
15.0ms80×0valid
1.0ms7×0invalid
Compiler

Compiled 853 to 566 computations (33.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 2.0ms (18.7% of total)
ival-mult: 2.0ms (18.7% of total)
ival-sin: 2.0ms (18.7% of total)
ival-tan: 2.0ms (18.7% of total)
ival-pow: 2.0ms (18.7% of total)
ival-add: 1.0ms (9.3% of total)
ival-neg: 1.0ms (9.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.0005937701377725274
3676874.0782094393
1.0ms
-1119024869347231.0
-0.0034611668901685356
Compiler

Compiled 853 to 566 computations (33.6% saved)

bsearch72.0ms (0.5%)

Memory
-9.5MiB live, 109.3MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
2.067722784595661e+147
3.995697919487259e+154
32.0ms
4.6242785868245585e-40
3.775999969977585e-35
1.0ms
-1119024869347231.0
-0.0034611668901685356
Samples
48.0ms288×0valid
2.0ms18×0invalid
Compiler

Compiled 1 181 to 764 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 8.0ms (19.4% of total)
ival-mult: 7.0ms (16.9% of total)
ival-tan: 6.0ms (14.5% of total)
ival-pow: 6.0ms (14.5% of total)
ival-sin: 5.0ms (12.1% of total)
ival-add: 4.0ms (9.7% of total)
ival-neg: 4.0ms (9.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch48.0ms (0.4%)

Memory
6.4MiB live, 81.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
4.186358059510861e-58
8.579504040008751e-58
26.0ms
-4.701491013695251e-15
-1.5161006151000033e-17
Samples
31.0ms208×0valid
Compiler

Compiled 473 to 315 computations (33.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 5.0ms (19.8% of total)
ival-div: 4.0ms (15.8% of total)
ival-sin: 4.0ms (15.8% of total)
ival-tan: 4.0ms (15.8% of total)
ival-pow: 4.0ms (15.8% of total)
ival-add: 3.0ms (11.9% of total)
ival-neg: 2.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
4.186358059510861e-58
8.579504040008751e-58
1.0ms
-4.701491013695251e-15
-1.5161006151000033e-17
Compiler

Compiled 449 to 299 computations (33.4% saved)

bsearch29.0ms (0.2%)

Memory
9.3MiB live, 45.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
26.0ms
3.338289121776289e-12
4.402509882474858e-9
Samples
21.0ms128×0valid
Compiler

Compiled 281 to 186 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-pow: 7.0ms (39.7% of total)
ival-mult: 3.0ms (17% of total)
ival-div: 2.0ms (11.3% of total)
ival-add: 2.0ms (11.3% of total)
ival-tan: 2.0ms (11.3% of total)
ival-sin: 1.0ms (5.7% of total)
ival-neg: 1.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory
15.9MiB live, 57.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
30.0ms
0.0005937701377725274
3676874.0782094393
1.0ms
-1.4965433312258612e+168
-1.1696521567971878e+167
Samples
23.0ms112×0valid
2.0ms14×0invalid
Compiler

Compiled 651 to 410 computations (37% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-add: 7.0ms (33.2% of total)
ival-mult: 3.0ms (14.2% of total)
ival-tan: 3.0ms (14.2% of total)
ival-div: 2.0ms (9.5% of total)
ival-sin: 2.0ms (9.5% of total)
ival-pow: 2.0ms (9.5% of total)
ival-neg: 1.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.0005937701377725274
3676874.0782094393
1.0ms
-1.4965433312258612e+168
-1.1696521567971878e+167
Compiler

Compiled 461 to 284 computations (38.4% saved)

bsearch3.0ms (0%)

Memory
-34.2MiB live, 3.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3676874.0782094393
170433765.41031745
1.0ms
-1.4965433312258612e+168
-1.1696521567971878e+167
Compiler

Compiled 381 to 246 computations (35.4% saved)

bsearch99.0ms (0.8%)

Memory
33.6MiB live, 181.0MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
3676874.0782094393
170433765.41031745
32.0ms
2.4922502396494518e-117
8.117144507030132e-111
29.0ms
-1.0173300876127867e-29
-2.690583868779275e-33
Samples
63.0ms368×0valid
8.0ms46×0invalid
Compiler

Compiled 720 to 457 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 15.0ms (25.5% of total)
ival-sin: 9.0ms (15.3% of total)
ival-tan: 9.0ms (15.3% of total)
ival-div: 8.0ms (13.6% of total)
ival-pow: 7.0ms (11.9% of total)
ival-add: 5.0ms (8.5% of total)
ival-neg: 5.0ms (8.5% 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
7.0MiB live, 7.0MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3676874.0782094393
170433765.41031745
1.0ms
2.4922502396494518e-117
8.117144507030132e-111
1.0ms
-1.0173300876127867e-29
-2.690583868779275e-33
Compiler

Compiled 720 to 457 computations (36.5% saved)

bsearch34.0ms (0.3%)

Memory
-11.4MiB live, 63.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
31.0ms
9.195642677121503e-121
2.4922502396494518e-117
1.0ms
-1.0173300876127867e-29
-2.690583868779275e-33
Samples
22.0ms128×0valid
2.0ms13×0invalid
Compiler

Compiled 449 to 282 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 6.0ms (30.2% of total)
ival-mult: 3.0ms (15.1% of total)
ival-sin: 3.0ms (15.1% of total)
ival-tan: 3.0ms (15.1% of total)
ival-add: 2.0ms (10.1% of total)
ival-pow: 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)

bsearch31.0ms (0.2%)

Memory
-4.1MiB live, 51.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
9.195642677121503e-121
2.4922502396494518e-117
28.0ms
-1.157679731866285e-36
-2.5927363928968606e-37
Samples
22.0ms96×0valid
2.0ms17×0invalid
Compiler

Compiled 375 to 238 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-tan: 10.0ms (47.9% of total)
ival-mult: 3.0ms (14.4% of total)
ival-div: 2.0ms (9.6% of total)
ival-sin: 2.0ms (9.6% of total)
ival-pow: 2.0ms (9.6% of total)
ival-add: 1.0ms (4.8% of total)
ival-neg: 1.0ms (4.8% 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
3.3MiB live, 3.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
9.195642677121503e-121
2.4922502396494518e-117
0.0ms
-1.157679731866285e-36
-2.5927363928968606e-37
Compiler

Compiled 327 to 208 computations (36.4% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-1.157679731866285e-36
-2.5927363928968606e-37
Compiler

Compiled 159 to 104 computations (34.6% saved)

simplify52.0ms (0.4%)

Memory
5.8MiB live, 44.5MiB allocated
Algorithm
1×egg-herbie
Rules
42×*-commutative_binary64
42×+-commutative_binary64
42×sub-neg_binary64
24×neg-sub0_binary64
24×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02552838
12972834
23372834
33612834
43782834
53832834
63842834
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 F #s(literal -119999999999999999395654341856514736314178946865461883198681321813389206046525102250422795857972516599034753361989134595050898143347936595840189683431727873555228000256 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) (*.f64 (cos.f64 B) x)) (sin.f64 B))) (if (<=.f64 F #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (fma.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))) #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)))))))
(if (<=.f64 F #s(literal -320000000 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 x (tan.f64 B)))) (if (<=.f64 F #s(literal 110000000 binary64)) (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) (sin.f64 B)) #s(approx (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))))
(if (<=.f64 F #s(literal -119999999999999999395654341856514736314178946865461883198681321813389206046525102250422795857972516599034753361989134595050898143347936595840189683431727873555228000256 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) (*.f64 (cos.f64 B) x)) (sin.f64 B))) (if (<=.f64 F #s(literal 105000000 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (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) F)) (/.f64 (neg.f64 x) (tan.f64 B))) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))))
(if (<=.f64 F #s(literal -20000000000000000000000 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 x (tan.f64 B)))) (if (<=.f64 F #s(literal 105000000 binary64)) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))))
(if (<=.f64 F #s(literal -3152519739159347/2251799813685248 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 x (tan.f64 B)))) (if (<=.f64 F #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* x 2) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))))
(if (<=.f64 F #s(literal -2500 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 x (tan.f64 B)))) (if (<=.f64 F #s(literal 1550 binary64)) (+.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)))))))) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (/ (sqrt (/ 1 (+ (* x 2) (+ (* F F) 2)))) (/ 1 F)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))))
(if (<=.f64 F #s(literal -2500 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 x (tan.f64 B)))) (if (<=.f64 F #s(literal 1820 binary64)) (+.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 (-.f64 #s(approx (/ F (sqrt (+ (* x 2) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))))
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(if (<=.f64 F #s(literal -119999999999999999395654341856514736314178946865461883198681321813389206046525102250422795857972516599034753361989134595050898143347936595840189683431727873555228000256 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x)) B))) (if (<=.f64 F #s(literal 1500000 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)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))) B))))
(if (<=.f64 F #s(literal -119999999999999999395654341856514736314178946865461883198681321813389206046525102250422795857972516599034753361989134595050898143347936595840189683431727873555228000256 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x)) B))) (if (<=.f64 F #s(literal 1000000 binary64)) #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 x #s(literal 2 binary64) (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)) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) x))) B))))
(if (<=.f64 F #s(literal -119999999999999999395654341856514736314178946865461883198681321813389206046525102250422795857972516599034753361989134595050898143347936595840189683431727873555228000256 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x)) B))) (if (<=.f64 F #s(literal 150000000 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 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 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))))) (/.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 -7136238463529799/713623846352979940529142984724747568191373312 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)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B)) (if (<=.f64 F #s(literal 8456642567068485/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 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)) (if (<=.f64 F #s(literal 3700000 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 (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)) (-.f64 #s(literal 1 binary64) x)) B)))))
(if (<=.f64 F #s(literal -7136238463529799/713623846352979940529142984724747568191373312 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)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B)) (if (<=.f64 F #s(literal 8456642567068485/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 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)) (if (<=.f64 F #s(literal 3700000 binary64)) #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 #s(literal 1 binary64) x)) B)))))
(if (<=.f64 F #s(literal -7136238463529799/713623846352979940529142984724747568191373312 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)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B)) (if (<=.f64 F #s(literal 5394506156881457/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 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 -5746858278247083/5986310706507378352962293074805895248510699696029696 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x)) B))) (if (<=.f64 F #s(literal 5394506156881457/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 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 -5746858278247083/5986310706507378352962293074805895248510699696029696 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 5394506156881457/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 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 -5746858278247083/5986310706507378352962293074805895248510699696029696 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
(if (<=.f64 F #s(literal -119999999999999999395654341856514736314178946865461883198681321813389206046525102250422795857972516599034753361989134595050898143347936595840189683431727873555228000256 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) (*.f64 (cos.f64 B) x)) (sin.f64 B))) (if (<=.f64 F #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (fma.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))) #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)))))))
(if (<=.f64 F #s(literal -119999999999999999395654341856514736314178946865461883198681321813389206046525102250422795857972516599034753361989134595050898143347936595840189683431727873555228000256 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) (*.f64 (cos.f64 B) x)) (sin.f64 B))) (if (<=.f64 F #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (fma.f64 F (*.f64 (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))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))))
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(if (<=.f64 F #s(literal -7136238463529799/713623846352979940529142984724747568191373312 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)) (fma.f64 #s(approx (/ (+ (* x 2) 2) (* F F)) (*.f64 (/.f64 x (*.f64 F F)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))) B)) (if (<=.f64 F #s(literal 5394506156881457/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 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 -5746858278247083/5986310706507378352962293074805895248510699696029696 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg x) (/ (cos B) (sin B))) (/ -1 (sin B))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/6 binary64)) (*.f64 B B) (-.f64 #s(literal -1 binary64) x)) B))) (if (<=.f64 F #s(literal 5394506156881457/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 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 -5746858278247083/5986310706507378352962293074805895248510699696029696 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 5394506156881457/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 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 -5746858278247083/5986310706507378352962293074805895248510699696029696 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))

soundness1.9s (14.2%)

Memory
18.4MiB live, 1 480.8MiB allocated
Rules
12 594×lower-fma.f64
12 594×lower-fma.f32
12 448×lower-fma.f64
12 448×lower-fma.f32
12 422×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096315818
1291414963
0827913802
0124617623
1385117154
0807015712
02071
03767
112266
278966
0829658
04944266
114944066
254693979
080243639
054323
085295
1357268
22902268
08665268
095920567
1297819871
0835618108
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 2 925 to 1 488 computations (49.1% saved)

preprocess207.0ms (1.6%)

Memory
-0.1MiB live, 235.6MiB allocated
Remove

(negabs B)

Compiler

Compiled 2 124 to 456 computations (78.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...