tanhf (example 3.4)

Details

Time bar (total: 7.0s)

analyze165.0ms (2.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample4.7s (68.2%)

Results
2.7s2131×body2048valid
1.3s3056×body1024valid
417.0ms1607×body512valid
269.0ms1356×body256valid
104.0ms106×body4096valid
Bogosity

preprocess28.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
472×fma-def
54×div-sub
48×associate-/l*
48×unsub-neg
44×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11911
22511
33611
45911
58211
612011
718911
833411
953511
1067711
1172511
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify27.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
472×fma-def
54×div-sub
48×associate-/l*
48×unsub-neg
44×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11911
22511
33611
45911
58211
612011
718911
833411
953511
1067711
1172511
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))

eval1.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Accurracy
100.0%
Counts
3 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.1%
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶100.0%
(tan.f64 (/.f64 x 2))
▶58.1%
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶100.0%
(tan.f64 (/.f64 x 2))
Compiler

Compiled 26 to 20 computations (23.1% saved)

localize309.0ms (4.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(cos.f64 x)
✓79.4%
(-.f64 1 (cos.f64 x))
✓79.0%
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓100.0%
(tan.f64 (/.f64 x 2))
Compiler

Compiled 30 to 18 computations (40% saved)

series3.0ms (0%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(tan.f64 (/.f64 x 2))
0.0ms
x
@inf
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
0.0ms
x
@-inf
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
0.0ms
x
@0
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
0.0ms
x
@-inf
(tan.f64 (/.f64 x 2))

rewrite116.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1078×log-prod
630×pow-prod-down
510×pow-prod-up
474×pow-exp
470×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
126038
2313538
Stop Event
1×node limit
Counts
4 → 272
Calls
Call 1
Inputs
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 1 (cos.f64 x))
(cos.f64 x)
Outputs
(+.f64 (tan.f64 (*.f64 x 1/2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (tan.f64 x)))) (sqrt.f64 (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(+.f64 (tan.f64 (*.f64 x 1/2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (tan.f64 x))))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 1 (tan.f64 x))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) 1 (*.f64 (/.f64 1 (tan.f64 x)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) 1 (*.f64 (/.f64 1 (tan.f64 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) 1 (*.f64 (/.f64 1 (tan.f64 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) 1 (*.f64 (/.f64 1 (tan.f64 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (cos.f64 x) (*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1) -1)
(pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) -1)
(neg.f64 (tan.f64 (/.f64 (neg.f64 x) 2)))
(neg.f64 (tan.f64 (/.f64 x -2)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) -1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 1 (tan.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (tan.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (tan.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(fma.f64 1 (neg.f64 (cos.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2) (cbrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 -1 (cos.f64 x) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)
(+.f64 0 (cos.f64 x))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 1 (cos.f64 x)) 1)
(*.f64 1 (cos.f64 x))
(*.f64 (cos.f64 x) 1)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 2))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(fma.f64 1 (+.f64 1 (cos.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 1 (cos.f64 x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x))) -1)

simplify172.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
932×cancel-sign-sub-inv
608×div-sub
548×fma-neg
432×sqr-pow
388×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053317482
1127712590
244306256
Stop Event
1×node limit
Counts
296 → 258
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
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(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1) -1)
(pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) -1)
(neg.f64 (tan.f64 (/.f64 (neg.f64 x) 2)))
(neg.f64 (tan.f64 (/.f64 x -2)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) -1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 1 (tan.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (tan.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (tan.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(fma.f64 1 (neg.f64 (cos.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2) (cbrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 -1 (cos.f64 x) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)
(+.f64 0 (cos.f64 x))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 1 (cos.f64 x)) 1)
(*.f64 1 (cos.f64 x))
(*.f64 (cos.f64 x) 1)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 2))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(fma.f64 1 (+.f64 1 (cos.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 1 (cos.f64 x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x))) -1)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 17/40320 (pow.f64 x 7)))))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1)
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(-.f64 1 (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(fma.f64 1 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2) (cbrt.f64 (neg.f64 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 -1 (cos.f64 x) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(+.f64 0 (cos.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(fma.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(fma.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 1 (cos.f64 x)) 1)
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/2)
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(cos.f64 x)
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(cos.f64 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) 1) 1))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 3))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) 3)) 1/3))
(cos.f64 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) 3) 1/3))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 2))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)
(fma.f64 1 (+.f64 1 (cos.f64 x)) -1)
(cos.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 1 (cos.f64 x))) -1)
(cos.f64 x)
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x))) -1)
(cos.f64 x)

eval82.0ms (1.2%)

Compiler

Compiled 4755 to 2574 computations (45.9% saved)

prune67.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2544258
Fresh000
Picked022
Done000
Total2546260
Accurracy
100.0%
Counts
260 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓58.1%
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶99.7%
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
▶99.2%
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
▶58.0%
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
▶45.8%
(*.f64 1/2 x)
✓100.0%
(tan.f64 (/.f64 x 2))
✓58.1%
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶99.7%
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
▶99.2%
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
▶58.0%
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
▶45.8%
(*.f64 1/2 x)
✓100.0%
(tan.f64 (/.f64 x 2))
Compiler

Compiled 90 to 70 computations (22.2% saved)

localize400.0ms (5.7%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sin.f64 (*.f64 x 1/2))
✓100.0%
(cos.f64 (*.f64 x 1/2))
✓99.7%
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
100.0%
(cos.f64 x)
✓99.7%
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
✓99.3%
(+.f64 1 (cos.f64 x))
100.0%
(cos.f64 x)
✓99.8%
(/.f64 1 (sin.f64 x))
79.4%
(-.f64 1 (cos.f64 x))
✓79.0%
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
Compiler

Compiled 75 to 47 computations (37.3% saved)

series4.0ms (0.1%)

Counts
7 → 68
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 1 (sin.f64 x))
0.0ms
x
@inf
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
0.0ms
x
@-inf
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
0.0ms
x
@-inf
(/.f64 1 (sin.f64 x))
0.0ms
x
@0
(/.f64 1 (sin.f64 x))

rewrite160.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1584×log-prod
718×prod-diff
574×expm1-udef
572×log1p-udef
478×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017107
136477
2489477
Stop Event
1×node limit
Counts
7 → 403
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 1 (sin.f64 x))
(+.f64 1 (cos.f64 x))
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(cos.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 x 1/2))
Outputs
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 -1 (neg.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 x)) (fma.f64 -1 (cos.f64 x) -1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 -1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -1) (*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (*.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -1) (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (fma.f64 -1 (cos.f64 x) -1)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 -1 (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (-.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)) (+.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (sin.f64 x) (fma.f64 -1 (cos.f64 x) -1)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (/.f64 1 (sin.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))
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(log1p.f64 (expm1.f64 (cos.f64 (*.f64 x 1/2))))
(+.f64 0 (sin.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2)))) 1)
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (sin.f64 1)))
(*.f64 1 (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) 1)
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x 1/2))))

simplify181.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
872×div-sub
738×times-frac
520×associate-*r*
518×associate-/l*
468×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059711521
1130210853
2550310799
Stop Event
1×node limit
Counts
471 → 360
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 1/384 (pow.f64 x 4))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/384 (pow.f64 x 4)))))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5))))
(+.f64 (*.f64 -1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5)))))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 -1 (neg.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 x)) (fma.f64 -1 (cos.f64 x) -1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 -1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -1) (*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (*.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -1) (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (fma.f64 -1 (cos.f64 x) -1)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 -1 (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (-.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)) (+.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (sin.f64 x) (fma.f64 -1 (cos.f64 x) -1)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (/.f64 1 (sin.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(fma.f64 1 (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 1 (/.f64 1 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (/.f64 1 (sin.f64 x)) 1 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 1 (sin.f64 x)) 1 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 (/.f64 1 (sin.f64 x)) 1 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 0 (/.f64 1 (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1))
(pow.f64 (sin.f64 x) -1)
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(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)
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(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (exp.f64 (neg.f64 (log1p.f64 (cos.f64 x))))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (exp.f64 (neg.f64 (log1p.f64 (cos.f64 x))))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (*.f64 (pow.f64 (sin.f64 x) -1/2) (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (fma.f64 -1 (cos.f64 x) -1)))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 (cos.f64 x)))) (sin.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) -1/2)) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (sin.f64 x) (fma.f64 -1 (cos.f64 x) -1)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (/.f64 1 (sin.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(fma.f64 1 (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 1 (/.f64 1 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (/.f64 1 (sin.f64 x)) 1 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 1 (sin.f64 x)) 1 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 (/.f64 1 (sin.f64 x)) 1 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 0 (cos.f64 (*.f64 x 1/2)))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (sin.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (exp.f64 (cos.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x 1/2)))) 1)
(*.f64 1 (cos.f64 (*.f64 x 1/2)))
(*.f64 (cos.f64 (*.f64 x 1/2)) 1)
(*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (cos.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 x 1/2))))
(+.f64 0 (sin.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2)))) 1)
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (sin.f64 1)))
(*.f64 1 (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) 1)
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x 1/2))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 x 1/6 (/.f64 1 x))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 1/6 x (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/6 (fma.f64 (pow.f64 x 3) 7/360 (/.f64 1 x)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
(fma.f64 1/6 x (fma.f64 31/15120 (pow.f64 x 5) (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x))))
(fma.f64 x 1/6 (fma.f64 (pow.f64 x 5) 31/15120 (fma.f64 (pow.f64 x 3) 7/360 (/.f64 1 x))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 2) (*.f64 1/24 (pow.f64 x 4)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6)))))
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(tan.f64 (*.f64 1/2 x))
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(tan.f64 (*.f64 1/2 x))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(neg.f64 (/.f64 (sin.f64 x) (fma.f64 -1 (cos.f64 x) -1)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(tan.f64 (*.f64 1/2 x))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (/.f64 1 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(tan.f64 (*.f64 x 1/2))
(tan.f64 (*.f64 1/2 x))
(fma.f64 1 (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(tan.f64 (/.f64 x 2))
(fma.f64 1 (/.f64 1 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(tan.f64 (/.f64 x 2))
(fma.f64 1 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(tan.f64 (/.f64 x 2))
(fma.f64 (/.f64 1 (sin.f64 x)) 1 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(tan.f64 (/.f64 x 2))
(fma.f64 (/.f64 1 (sin.f64 x)) 1 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(tan.f64 (/.f64 x 2))
(fma.f64 (/.f64 1 (sin.f64 x)) 1 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(tan.f64 (/.f64 x 2))
(fma.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(fma.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(fma.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(fma.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(tan.f64 (/.f64 x 2))
(fma.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(tan.f64 (/.f64 x 2))
(fma.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(tan.f64 (/.f64 x 2))
(fma.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(tan.f64 (/.f64 x 2))
(fma.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(tan.f64 (/.f64 x 2))
(fma.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(tan.f64 (/.f64 x 2))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -2) (/.f64 (cos.f64 x) (sin.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(+.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -2) (/.f64 (cos.f64 x) (sin.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -2) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 0 (cos.f64 (*.f64 x 1/2)))
(cos.f64 (*.f64 1/2 x))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (sin.f64 1)))
(fma.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x)))) (cos.f64 1) (*.f64 (sin.f64 1) (sin.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))))))
(fma.f64 (sin.f64 1) (sin.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x)))) (*.f64 (cos.f64 1) (cos.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (exp.f64 (cos.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 1/2 x)))) (cbrt.f64 (exp.f64 (cos.f64 (*.f64 1/2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 1/2 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 1/2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x 1/2)))) 1)
(cos.f64 (*.f64 1/2 x))
(*.f64 1 (cos.f64 (*.f64 x 1/2)))
(cos.f64 (*.f64 1/2 x))
(*.f64 (cos.f64 (*.f64 x 1/2)) 1)
(cos.f64 (*.f64 1/2 x))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))
(cos.f64 (*.f64 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 1/2 x))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 1/2 x))
(pow.f64 (cos.f64 (*.f64 x 1/2)) 1)
(cos.f64 (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 3)
(cos.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3) 1/3)
(cos.f64 (*.f64 1/2 x))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 2)
(cos.f64 (*.f64 1/2 x))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))
(cos.f64 (*.f64 1/2 x))
(log.f64 (exp.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 x 1/2)))))
(cos.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3))
(cos.f64 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1))
(cos.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 1/2 x))
(+.f64 0 (sin.f64 (*.f64 x 1/2)))
(sin.f64 (*.f64 1/2 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 x)))) (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2)))) 1)
(sin.f64 (*.f64 1/2 x))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (sin.f64 1)))
(-.f64 (*.f64 (cos.f64 1) (sin.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))))) (*.f64 (sin.f64 1) (cos.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))))))
(*.f64 1 (sin.f64 (*.f64 x 1/2)))
(sin.f64 (*.f64 1/2 x))
(*.f64 (sin.f64 (*.f64 x 1/2)) 1)
(sin.f64 (*.f64 1/2 x))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 x))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 1/2 x))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(sin.f64 (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3)
(sin.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/3)
(sin.f64 (*.f64 1/2 x))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 2)
(sin.f64 (*.f64 1/2 x))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(sin.f64 (*.f64 1/2 x))
(log.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x 1/2)))))
(sin.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(sin.f64 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1))
(sin.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 1/2 x))

eval222.0ms (3.2%)

Compiler

Compiled 8929 to 5681 computations (36.4% saved)

prune95.0ms (1.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New6170617
Fresh000
Picked044
Done022
Total6176623
Accurracy
100.0%
Counts
623 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓58.1%
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓99.7%
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
✓99.2%
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
✓58.0%
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
✓45.8%
(*.f64 1/2 x)
✓100.0%
(tan.f64 (/.f64 x 2))
Compiler

Compiled 85 to 61 computations (28.2% saved)

regimes11.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(tan.f64 (/.f64 x 2))
(/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
Outputs
(tan.f64 (/.f64 x 2))
Calls

2 calls:

4.0ms
x
4.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 50 to 33 computations (34% saved)

regimes46.0ms (0.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
Outputs
(*.f64 1/2 x)
Calls

1 calls:

45.0ms
x
Results
AccuracySegmentsBranch
45.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
11018
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(tan.f64 (/.f64 x 2))
(*.f64 1/2 x)
Outputs
(tan.f64 (/.f64 x 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness47.0ms (0.7%)

Rules
472×fma-def
54×div-sub
48×associate-/l*
48×unsub-neg
44×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11911
22511
33611
45911
58211
612011
718911
833411
953511
1067711
1172511
Stop Event
1×saturated
Compiler

Compiled 12 to 9 computations (25% saved)

end76.0ms (1.1%)

Compiler

Compiled 42 to 32 computations (23.8% saved)

Profiling

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