2-ancestry mixing, negative discriminant

Time bar (total: 8.1s)

analyze145.0ms (1.8%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
26.7%25%68.7%0.1%0%6.2%0%5
27.6%25%65.6%0.1%0%9.4%0%6
49%37.5%39%0.1%0%23.4%0%7
50.5%37.5%36.7%0.1%0%25.8%0%8
67.9%43.7%20.7%0.1%0%35.5%0%9
69.3%43.7%19.3%0.1%0%36.9%0%10
81.5%46.8%10.6%0.1%0%42.4%0%11
82.5%46.8%9.9%0.1%0%43.2%0%12
Compiler

Compiled 19 to 17 computations (10.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
Operation ival-cos, time spent: 33.0ms, 36.0% of total-time
Operation ival-div, time spent: 18.0ms, 19.0% of total-time
Operation ival-mult, time spent: 15.0ms, 16.0% of total-time
Operation ival-acos, time spent: 13.0ms, 14.0% of total-time
Operation ival-pi, time spent: 4.0ms, 4.0% of total-time
Operation ival-add, time spent: 4.0ms, 4.0% of total-time
Operation ival-neg, time spent: 4.0ms, 4.0% of total-time
Operation const, time spent: 2.0ms, 2.0% of total-time

sample2.3s (28.7%)

Results
1.8s8255×256valid
267.0ms1125×256invalid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
Operation ival-cos, time spent: 391.0ms, 32.0% of total-time
Operation ival-div, time spent: 241.0ms, 20.0% of total-time
Operation ival-mult, time spent: 196.0ms, 16.0% of total-time
Operation ival-acos, time spent: 175.0ms, 14.0% of total-time
Operation ival-pi, time spent: 65.0ms, 5.0% of total-time
Operation ival-neg, time spent: 58.0ms, 5.0% of total-time
Operation ival-add, time spent: 51.0ms, 4.0% of total-time
Operation const, time spent: 33.0ms, 3.0% of total-time
Bogosity

preprocess381.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
716×fma-define
120×times-frac
70×associate-/r*
64×unsub-neg
54×associate-*l*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(PI.f64)
00-0-(/.f64 (neg.f64 g) h)
00-0-h
00-0-(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
00-0-(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
00-0-g
00-0-(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
00-0-(neg.f64 g)
00-0-3
00-0-(*.f64 2 (PI.f64))
00-0-2
00-0-(/.f64 (*.f64 2 (PI.f64)) 3)
00-0-(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
00-0-(acos.f64 (/.f64 (neg.f64 g) h))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042383
181341
2148313
3289313
4536313
5811313
6908313
7940313
8997313
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 (neg.f64 g)) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) (neg.f64 h))) 3))))
(neg.f64 (*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 (neg.f64 g)) h)) 3)))))
(neg.f64 (*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) (neg.f64 h))) 3)))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
Outputs
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2 (/.f64 (PI.f64) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2 (/.f64 (PI.f64) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 (neg.f64 g)) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2 (/.f64 (PI.f64) 3)) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2 (/.f64 (PI.f64) 3)) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3))))
(neg.f64 (*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 (neg.f64 g)) h)) 3)))))
(*.f64 -2 (cos.f64 (+.f64 (*.f64 2 (/.f64 (PI.f64) 3)) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(*.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g h)) 3))) -2)
(*.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3))) -2)
(neg.f64 (*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) (neg.f64 h))) 3)))))
(*.f64 -2 (cos.f64 (+.f64 (*.f64 2 (/.f64 (PI.f64) 3)) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(*.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g h)) 3))) -2)
(*.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3))) -2)
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2 (/.f64 (PI.f64) 3)) (/.f64 (acos.f64 (neg.f64 (/.f64 h g))) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 h (neg.f64 g))) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 h (neg.f64 g))) 3))))
Compiler

Compiled 172 to 108 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
Operation ival-div, time spent: 41.0ms, 25.0% of total-time
Operation ival-mult, time spent: 40.0ms, 25.0% of total-time
Operation ival-cos, time spent: 39.0ms, 24.0% of total-time
Operation ival-acos, time spent: 18.0ms, 11.0% of total-time
Operation ival-add, time spent: 9.0ms, 6.0% of total-time
Operation ival-pi, time spent: 7.0ms, 4.0% of total-time
Operation const, time spent: 5.0ms, 3.0% of total-time
Operation ival-neg, time spent: 5.0ms, 3.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 45 to 34 computations (24.4% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
▶98.4%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
Compiler

Compiled 31 to 27 computations (12.9% saved)

localize199.0ms (2.5%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓100.0%
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))
✓98.5%
(/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)
✓98.5%
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
✓98.5%
(/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)
✓98.5%
(cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
✓98.5%
(+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))
✓98.4%
(*.f64 (PI.f64) 2/3)
Compiler

Compiled 125 to 58 computations (53.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
Operation ival-cos, time spent: 38.0ms, 32.0% of total-time
Operation ival-div, time spent: 20.0ms, 17.0% of total-time
Operation ival-mult, time spent: 20.0ms, 17.0% of total-time
Operation composed, time spent: 15.0ms, 13.0% of total-time
Operation ival-add, time spent: 10.0ms, 8.0% of total-time
Operation ival-acos, time spent: 9.0ms, 8.0% of total-time
Operation const, time spent: 3.0ms, 3.0% of total-time
Operation ival-pi, time spent: 2.0ms, 2.0% of total-time
Operation ival-neg, time spent: 2.0ms, 2.0% of total-time

series33.0ms (0.4%)

Counts
7 → 144
Calls

36 calls:

TimeVariablePointExpression
3.0ms
g
@-inf
(+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))
2.0ms
g
@inf
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
2.0ms
h
@-inf
(cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
1.0ms
g
@0
(+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))
1.0ms
g
@0
(cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))

rewrite291.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
1158×log1p-expm1-u
1158×expm1-log1p-u
606×fma-define
356×fma-neg
156×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021219
1255195
23500195
Stop Event
1×node limit
Counts
7 → 230
Calls
Call 1
Inputs
(*.f64 (PI.f64) 2/3)
(+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))
(cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 2/3))) 1)
(pow.f64 (*.f64 (PI.f64) 2/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2/3)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2))
(log.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 2/3))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 2/3)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 2/3)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 2/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2/3)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (-.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (/.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (-.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(*.f64 1 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sqrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (/.f64 1 (fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (*.f64 (PI.f64) 2/3) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (/.f64 1 (-.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (*.f64 (PI.f64) 2/3) 2)) (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (pow.f64 (*.f64 (PI.f64) 2/3) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (-.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (*.f64 (PI.f64) 2/3) 2)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (-.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (*.f64 (PI.f64) (*.f64 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (pow.f64 (*.f64 (PI.f64) 2/3) 3))) (neg.f64 (fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (*.f64 (PI.f64) 2/3) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))) (neg.f64 (-.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (neg.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2))) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3)))
(pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (*.f64 (PI.f64) 2/3) 1 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))
(fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1 (*.f64 (PI.f64) 2/3))
(fma.f64 1 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
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(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)) (fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (fma.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
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(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
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(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
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(fma.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
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(fma.f64 1 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (neg.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 1 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
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(fma.f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (neg.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (neg.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(-.f64 (/.f64 (*.f64 (PI.f64) 1/2) 3) (/.f64 (asin.f64 (/.f64 g h)) 3))
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
(*.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)
(*.f64 1 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2) (*.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2) (/.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 3))
(*.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2) (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (*.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) 1/3))
(*.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) 3))
(*.f64 (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 (neg.f64 (acos.f64 (/.f64 g h))) -1/3)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2)
(pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1)
(neg.f64 (/.f64 (acos.f64 (/.f64 g h)) -3))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 3))
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(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1))
(+.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (-.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (/.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (-.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
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(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sqrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (/.f64 1 (fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (*.f64 (PI.f64) 2/3) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (/.f64 1 (-.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (*.f64 (PI.f64) 2/3) 2)) (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (pow.f64 (*.f64 (PI.f64) 2/3) 3))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (pow.f64 (*.f64 (PI.f64) 2/3) 3))) (neg.f64 (fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (*.f64 (PI.f64) 2/3) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))) (neg.f64 (-.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (neg.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2))) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3)))
(pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))

simplify282.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1872×fma-neg
1082×fma-define
538×cancel-sign-sub-inv
516×*-commutative
434×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028322390
156221462
2157518836
3526815698
Stop Event
1×node limit
Counts
374 → 171
Calls
Call 1
Inputs
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
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(*.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (*.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) 1/3))
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(*.f64 (neg.f64 (acos.f64 (/.f64 g h))) -1/3)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 3) 1/3)
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(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 3))
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(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
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(pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
Outputs
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(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27)) (fma.f64 (acos.f64 (/.f64 g h)) (*.f64 1/3 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) -2/3))) (pow.f64 (*.f64 2/3 (PI.f64)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(/.f64 (-.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(/.f64 (+.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) -1/9)) (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) -1/9 (pow.f64 (*.f64 2/3 (PI.f64)) 2)) (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (pow.f64 (*.f64 (PI.f64) 2/3) 3))) (neg.f64 (fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (*.f64 (PI.f64) 2/3) 2))))
(*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27)) (/.f64 1 (fma.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (-.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))) (pow.f64 (*.f64 2/3 (PI.f64)) 2))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27)) (fma.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) -2/3)) (pow.f64 (*.f64 2/3 (PI.f64)) 2)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27)) (fma.f64 (acos.f64 (/.f64 g h)) (*.f64 1/3 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) -2/3))) (pow.f64 (*.f64 2/3 (PI.f64)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))) (neg.f64 (-.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(/.f64 (-.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(/.f64 (+.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) -1/9)) (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) -1/9 (pow.f64 (*.f64 2/3 (PI.f64)) 2)) (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (neg.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2))) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3)))
(/.f64 (-.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(/.f64 (+.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) -1/9)) (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) -1/9 (pow.f64 (*.f64 2/3 (PI.f64)) 2)) (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
(pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(expm1.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)
(expm1.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3) 1/3)
(expm1.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
(expm1.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))

eval94.0ms (1.2%)

Compiler

Compiled 4782 to 2992 computations (37.4% saved)

prune38.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2005205
Fresh000
Picked022
Done000
Total2007207
Accuracy
98.5%
Counts
207 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.9%
(*.f64 2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) 3)) (fma.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (fma.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))))))
▶96.9%
(*.f64 2 (-.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
▶96.9%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1))))
✓98.4%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
▶96.9%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓98.4%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
▶98.5%
(*.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
Compiler

Compiled 381 to 287 computations (24.7% saved)

localize1.8s (22.3%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
✓98.4%
(*.f64 2/3 (PI.f64))
✓98.4%
(sin.f64 (*.f64 2/3 (PI.f64)))
✓97.5%
(cos.f64 (*.f64 2/3 (PI.f64)))
✓6.0%
(fma.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
✓98.5%
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
98.4%
(*.f64 (PI.f64) 2/3)
✓98.4%
(sin.f64 (*.f64 (PI.f64) 2/3))
✓97.5%
(cos.f64 (*.f64 (PI.f64) 2/3))
✓100.0%
(pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1)
✓100.0%
(/.f64 3 (acos.f64 (/.f64 g h)))
✓100.0%
(fma.f64 (PI.f64) 2/3 (pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1))
✓98.5%
(cos.f64 (fma.f64 (PI.f64) 2/3 (pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1)))
✓98.5%
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
✓98.5%
(cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3)))
✓98.5%
(+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))
98.4%
(*.f64 (PI.f64) 2/3)
✓98.5%
(cos.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
✓98.5%
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))
98.4%
(*.f64 (PI.f64) 2/3)
✓97.5%
(pow.f64 (*.f64 (PI.f64) 2/3) 3)
Compiler

Compiled 815 to 471 computations (42.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.2s
Operation ival-mult, time spent: 367.0ms, 30.0% of total-time
Operation ival-cos, time spent: 344.0ms, 28.0% of total-time
Operation ival-sin, time spent: 270.0ms, 22.0% of total-time
Operation ival-pow, time spent: 67.0ms, 5.0% of total-time
Operation composed, time spent: 45.0ms, 4.0% of total-time
Operation ival-div, time spent: 42.0ms, 3.0% of total-time
Operation ival-add, time spent: 32.0ms, 3.0% of total-time
Operation const, time spent: 25.0ms, 2.0% of total-time
Operation ival-acos, time spent: 22.0ms, 2.0% of total-time
Operation ival-cbrt, time spent: 8.0ms, 1.0% of total-time
Operation ival-sub, time spent: 7.0ms, 1.0% of total-time
Operation ival-pi, time spent: 3.0ms, 0.0% of total-time
Operation ival-neg, time spent: 2.0ms, 0.0% of total-time

series69.0ms (0.9%)

Counts
17 → 240
Calls

66 calls:

TimeVariablePointExpression
9.0ms
g
@-inf
(fma.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
5.0ms
g
@0
(fma.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
3.0ms
h
@0
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
2.0ms
h
@0
(fma.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
2.0ms
g
@inf
(fma.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))

rewrite166.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
410×associate-*r*
286×associate-*l*
277×log1p-expm1-u
277×expm1-log1p-u
276×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042517
1712469
Stop Event
1×node limit
Counts
17 → 473
Calls
Call 1
Inputs
(pow.f64 (*.f64 (PI.f64) 2/3) 3)
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))
(cos.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
(+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))
(cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3)))
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
(cos.f64 (fma.f64 (PI.f64) 2/3 (pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1)))
(fma.f64 (PI.f64) 2/3 (pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1))
(/.f64 3 (acos.f64 (/.f64 g h)))
(pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1)
(cos.f64 (*.f64 (PI.f64) 2/3))
(sin.f64 (*.f64 (PI.f64) 2/3))
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
(fma.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(sin.f64 (*.f64 2/3 (PI.f64)))
(*.f64 2/3 (PI.f64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27))) 1)
(*.f64 (PI.f64) (*.f64 2/3 (pow.f64 (*.f64 (PI.f64) 2/3) 2)))
(*.f64 2/3 (*.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) 2/3) 2)))
(*.f64 (*.f64 (PI.f64) 2/3) (pow.f64 (*.f64 (PI.f64) 2/3) 2))
(*.f64 (pow.f64 (PI.f64) 3) 8/27)
(*.f64 8/27 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (*.f64 (PI.f64) 2/3))
(*.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 8/27))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2/3)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2/3)) (pow.f64 (*.f64 (PI.f64) 2/3) 2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2/3)) (pow.f64 (*.f64 (PI.f64) 2/3) 2)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3/2) (pow.f64 (*.f64 (PI.f64) 2/3) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2/3)) 2) 3) (*.f64 (PI.f64) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2/3)) 3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2/3)) 3))
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (PI.f64)) 2/3)
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) 2/3) (PI.f64))
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) 1) (*.f64 (PI.f64) 2/3))
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2/3)) 2)) (cbrt.f64 (*.f64 (PI.f64) 2/3)))
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (sqrt.f64 (*.f64 (PI.f64) 2/3))) (sqrt.f64 (*.f64 (PI.f64) 2/3)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 6))
(log.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27)) 1))
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(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1))
(+.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3))) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3))) 1) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 1)
(*.f64 1 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)) (cbrt.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (sqrt.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3))) (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (*.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3))) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3))) (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)))) (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)) (-.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3))) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(pow.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) 2/3)))) 1)
(*.f64 1 (cos.f64 (*.f64 (PI.f64) 2/3)))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) 2) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(pow.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (PI.f64) 2/3)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(exp.f64 (log.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) 1))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (PI.f64) 2/3)))) 1)
(*.f64 1 (sin.f64 (*.f64 (PI.f64) 2/3)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) 2) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(pow.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (PI.f64) 2/3)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(exp.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 2/3))) 1)
(pow.f64 (*.f64 (PI.f64) 2/3) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2/3)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2))
(log.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 2/3))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 2/3)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 2/3)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 2/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2/3)) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27)) 1/3))

simplify371.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
942×cancel-sign-sub-inv
838×distribute-lft-neg-in
834×distribute-rgt-neg-in
648×fma-neg
508×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051636025
1104035043
2343033645
Stop Event
1×node limit
Counts
713 → 300
Calls
Call 1
Inputs
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
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(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
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(+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
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(neg.f64 (/.f64 (acos.f64 (/.f64 g h)) -3))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1))
(+.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3))) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3))) 1) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 1)
(*.f64 1 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)) (cbrt.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (sqrt.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3))) (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (*.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3))) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3))) (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)))) (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)) (-.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3))) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(pow.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) 2/3)))) 1)
(*.f64 1 (cos.f64 (*.f64 (PI.f64) 2/3)))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) 2) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(pow.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (PI.f64) 2/3)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(exp.f64 (log.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) 1))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (PI.f64) 2/3)))) 1)
(*.f64 1 (sin.f64 (*.f64 (PI.f64) 2/3)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) 2) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(pow.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (PI.f64) 2/3)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(exp.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 2/3))) 1)
(pow.f64 (*.f64 (PI.f64) 2/3) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2/3)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2))
(log.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 2/3))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 2/3)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 2/3)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 2/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2/3)) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27)) 1/3))
Outputs
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
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(fma.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) 2/3)))) 1)
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(+.f64 0 (cos.f64 (*.f64 2/3 (PI.f64))))
(*.f64 1 (cos.f64 (*.f64 (PI.f64) 2/3)))
(cos.f64 (*.f64 2/3 (PI.f64)))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) 2))
(cos.f64 (*.f64 2/3 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) 2) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) 1)
(cos.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) 3)
(cos.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) 3) 1/3)
(cos.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) 2)
(cos.f64 (*.f64 2/3 (PI.f64)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) 2))
(cos.f64 (*.f64 2/3 (PI.f64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (PI.f64) 2/3)))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) 3))
(cos.f64 (*.f64 2/3 (PI.f64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(+.f64 0 (cos.f64 (*.f64 2/3 (PI.f64))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(exp.f64 (log.f64 (cos.f64 (*.f64 (PI.f64) 2/3))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (PI.f64) 2/3))) 1))
(cos.f64 (*.f64 2/3 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (PI.f64) 2/3)))) 1)
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(+.f64 0 (sin.f64 (*.f64 2/3 (PI.f64))))
(*.f64 1 (sin.f64 (*.f64 (PI.f64) 2/3)))
(sin.f64 (*.f64 2/3 (PI.f64)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) 2))
(sin.f64 (*.f64 2/3 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) 2) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) 1)
(sin.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) 3)
(sin.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) 3) 1/3)
(sin.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) 2)
(sin.f64 (*.f64 2/3 (PI.f64)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) 2))
(sin.f64 (*.f64 2/3 (PI.f64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (PI.f64) 2/3)))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) 3))
(sin.f64 (*.f64 2/3 (PI.f64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(+.f64 0 (sin.f64 (*.f64 2/3 (PI.f64))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(exp.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) 2/3))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) 1))
(sin.f64 (*.f64 2/3 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 2/3))) 1)
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(*.f64 2/3 (PI.f64))
(pow.f64 (*.f64 (PI.f64) 2/3) 1)
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(*.f64 2/3 (PI.f64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) 1/3)
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(*.f64 2/3 (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2/3)) 3)
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(*.f64 2/3 (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2/3)) 2)
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(*.f64 2/3 (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2))
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(*.f64 2/3 (PI.f64))
(log.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(*.f64 2/3 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 2/3))))
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(*.f64 2/3 (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(*.f64 2/3 (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 2/3)))
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(*.f64 2/3 (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 2/3)))
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(*.f64 2/3 (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) 2/3)))
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(*.f64 2/3 (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2/3)) 1))
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(*.f64 2/3 (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27)) 1/3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(*.f64 2/3 (PI.f64))

eval465.0ms (5.8%)

Compiler

Compiled 27161 to 17592 computations (35.2% saved)

prune101.0ms (1.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New6402642
Fresh000
Picked235
Done022
Total6427649
Accuracy
100.0%
Counts
649 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(*.f64 2 (-.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1)))))
▶96.9%
(*.f64 2 (-.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g h)) 3)))))
✓96.9%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1))))
✓98.4%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓96.9%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓98.4%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓98.5%
(*.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
Compiler

Compiled 141 to 117 computations (17% saved)

localize555.0ms (6.9%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
98.5%
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
98.4%
(*.f64 (PI.f64) 2/3)
98.4%
(sin.f64 (*.f64 (PI.f64) 2/3))
97.5%
(cos.f64 (*.f64 (PI.f64) 2/3))
98.5%
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
98.4%
(*.f64 (PI.f64) 2/3)
98.4%
(sin.f64 (*.f64 (PI.f64) 2/3))
97.5%
(cos.f64 (*.f64 (PI.f64) 2/3))
Compiler

Compiled 274 to 158 computations (42.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 368.0ms
Operation ival-sin, time spent: 116.0ms, 32.0% of total-time
Operation ival-cos, time spent: 94.0ms, 26.0% of total-time
Operation ival-mult, time spent: 85.0ms, 23.0% of total-time
Operation ival-div, time spent: 30.0ms, 8.0% of total-time
Operation ival-pow, time spent: 16.0ms, 4.0% of total-time
Operation ival-acos, time spent: 9.0ms, 2.0% of total-time
Operation const, time spent: 9.0ms, 2.0% of total-time
Operation ival-sub, time spent: 6.0ms, 2.0% of total-time
Operation ival-pi, time spent: 2.0ms, 1.0% of total-time

eval227.0ms (2.8%)

Compiler

Compiled 12258 to 8244 computations (32.7% saved)

prune45.0ms (0.6%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New3960396
Fresh000
Picked022
Done055
Total3967403
Accuracy
100.0%
Counts
403 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.4%
(*.f64 2 (-.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1)))))
✓96.9%
(*.f64 2 (-.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g h)) 3)))))
✓96.9%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1))))
✓98.4%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓96.9%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓98.4%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓98.5%
(*.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
Compiler

Compiled 407 to 293 computations (28% saved)

regimes44.0ms (0.5%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1))))
(*.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (-.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(*.f64 2 (-.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (/.f64 (acos.f64 (/.f64 g h)) 3)))))
(*.f64 2 (-.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1)))))
(*.f64 2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) 3)) (fma.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (fma.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))))))
Outputs
(*.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
Calls

9 calls:

10.0ms
(/.f64 (neg.f64 g) h)
7.0ms
g
6.0ms
(neg.f64 g)
6.0ms
h
4.0ms
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Results
AccuracySegmentsBranch
98.5%1g
98.5%1h
98.5%1(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
98.5%1(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
98.5%1(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
98.5%1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
98.5%1(acos.f64 (/.f64 (neg.f64 g) h))
98.5%1(/.f64 (neg.f64 g) h)
98.5%1(neg.f64 g)
Compiler

Compiled 81 to 66 computations (18.5% saved)

regimes32.0ms (0.4%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1))))
Outputs
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
Calls

9 calls:

6.0ms
h
5.0ms
(/.f64 (neg.f64 g) h)
5.0ms
g
4.0ms
(neg.f64 g)
2.0ms
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Results
AccuracySegmentsBranch
98.4%1g
98.4%1h
98.4%1(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
98.4%1(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
98.4%1(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
98.4%1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
98.4%1(acos.f64 (/.f64 (neg.f64 g) h))
98.4%1(/.f64 (neg.f64 g) h)
98.4%1(neg.f64 g)
Compiler

Compiled 81 to 66 computations (18.5% saved)

regimes33.0ms (0.4%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Outputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
Calls

9 calls:

6.0ms
(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
6.0ms
(acos.f64 (/.f64 (neg.f64 g) h))
4.0ms
(neg.f64 g)
3.0ms
h
3.0ms
g
Results
AccuracySegmentsBranch
98.4%1g
98.4%1h
98.4%1(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
98.4%1(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
98.4%1(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
98.4%1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
98.4%1(acos.f64 (/.f64 (neg.f64 g) h))
98.4%1(/.f64 (neg.f64 g) h)
98.4%1(neg.f64 g)
Compiler

Compiled 81 to 66 computations (18.5% saved)

regimes15.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
Outputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
Calls

2 calls:

12.0ms
h
3.0ms
g
Results
AccuracySegmentsBranch
96.9%1g
96.9%1h
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
18×*-commutative
12×+-commutative
6×sub-neg
6×neg-sub0
6×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036206
150206
256206
361206
464206
565206
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
Outputs
(*.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
Compiler

Compiled 65 to 57 computations (12.3% saved)

soundness273.0ms (3.4%)

Rules
1158×log1p-expm1-u
1158×expm1-log1p-u
716×fma-define
606×fma-define
356×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021219
1255195
23500195
042383
181341
2148313
3289313
4536313
5811313
6908313
7940313
8997313
Stop Event
1×saturated
1×node limit
Compiler

Compiled 417 to 293 computations (29.7% saved)

end0.0ms (0%)

preprocess74.0ms (0.9%)

Compiler

Compiled 154 to 116 computations (24.7% saved)

Profiling

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