Data.Colour.CIE:cieLAB from colour-2.3.3, B

Time bar (total: 1.5s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample753.0ms (49%)

Results
743.0ms8256×body256valid
Bogosity

preprocess82.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
206×fma-def
76×distribute-rgt-in
46×distribute-lft-neg-in
44×div-sub
42×fma-neg
Problems
256×No Errors
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01476
12468
24164
37864
416364
529860
644648
751348
853848
956848
1058448
1158748
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
(/.f64 (+.f64 x 16) 116)
(/.f64 (+.f64 (neg.f64 x) 16) 116)
(neg.f64 (/.f64 (+.f64 (neg.f64 x) 16) 116))
Outputs
(/.f64 (+.f64 x 16) 116)
(-.f64 4/29 (/.f64 x -116))
(+.f64 4/29 (*.f64 x 1/116))
(fma.f64 x 1/116 4/29)
(/.f64 (+.f64 x 16) 116)
(-.f64 4/29 (/.f64 x -116))
(+.f64 4/29 (*.f64 x 1/116))
(fma.f64 x 1/116 4/29)
(/.f64 (+.f64 (neg.f64 x) 16) 116)
(/.f64 (+.f64 16 (neg.f64 x)) 116)
(/.f64 (-.f64 16 x) 116)
(+.f64 4/29 (/.f64 x -116))
(*.f64 (+.f64 x -16) -1/116)
(fma.f64 x -1/116 4/29)
(neg.f64 (/.f64 (+.f64 (neg.f64 x) 16) 116))
(/.f64 (neg.f64 (+.f64 16 (neg.f64 x))) 116)
(/.f64 (neg.f64 (-.f64 16 x)) 116)
(/.f64 (+.f64 x -16) 116)
(+.f64 -4/29 (/.f64 x 116))
(+.f64 (*.f64 1/116 x) -4/29)
(fma.f64 1/116 x -4/29)
(fma.f64 x 1/116 -4/29)
Compiler

Compiled 19 to 15 computations (21.1% saved)

eval1.0ms (0%)

Compiler

Compiled 15 to 12 computations (20% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (+.f64 x 16) 116)
▶100.0%
(/.f64 (+.f64 x 16) 116)
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize56.0ms (3.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (+.f64 x 16) 116)
Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (+.f64 x 16) 116)
0.0ms
x
@-inf
(/.f64 (+.f64 x 16) 116)
0.0ms
x
@0
(/.f64 (+.f64 x 16) 116)

rewrite137.0ms (8.9%)

Algorithm
1×batch-egg-rewrite
Rules
528×unpow-prod-down
423×log1p-expm1-u
423×expm1-log1p-u
400×add-exp-log
391×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
18916
2113316
Stop Event
1×node limit
Counts
1 → 53
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
Outputs
(+.f64 0 (*.f64 (+.f64 x 16) 1/116))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (+.f64 x 16) (pow.f64 (cbrt.f64 1/116) 3))
(*.f64 (+.f64 x 16) (pow.f64 (sqrt.f64 1/116) 2))
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(*.f64 (*.f64 (+.f64 x 16) 1/116) (log.f64 (E.f64)))
(*.f64 1 (*.f64 (+.f64 x 16) 1/116))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (neg.f64 (+.f64 x 16)) -1/116)
(*.f64 1/116 (+.f64 x 16))
(*.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 x 16) 1/116))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) (+.f64 x 16)) 1/3) (cbrt.f64 1/116))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x 16) 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2) -1) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (pow.f64 (/.f64 116 (+.f64 (pow.f64 x 3) 4096)) -1) (/.f64 1 (-.f64 (fma.f64 x x 256) (*.f64 x 16))))
(*.f64 (pow.f64 (/.f64 116 (fma.f64 x x -256)) -1) (/.f64 1 (+.f64 x -16)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) (+.f64 x 16))) (cbrt.f64 1/116))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x 16) 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 5/2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(pow.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(pow.f64 (/.f64 (/.f64 116 (+.f64 x 16)) 1) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 2))) (cbrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))))
(neg.f64 (/.f64 (+.f64 x 16) -116))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) -1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))

simplify52.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
850×log-prod
788×times-frac
772×fma-def
754×distribute-lft-in
728×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691507
13831175
210861153
349331153
Stop Event
1×node limit
Counts
65 → 76
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 0 (*.f64 (+.f64 x 16) 1/116))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (+.f64 x 16) (pow.f64 (cbrt.f64 1/116) 3))
(*.f64 (+.f64 x 16) (pow.f64 (sqrt.f64 1/116) 2))
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(*.f64 (*.f64 (+.f64 x 16) 1/116) (log.f64 (E.f64)))
(*.f64 1 (*.f64 (+.f64 x 16) 1/116))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (neg.f64 (+.f64 x 16)) -1/116)
(*.f64 1/116 (+.f64 x 16))
(*.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 x 16) 1/116))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) (+.f64 x 16)) 1/3) (cbrt.f64 1/116))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x 16) 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2) -1) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (pow.f64 (/.f64 116 (+.f64 (pow.f64 x 3) 4096)) -1) (/.f64 1 (-.f64 (fma.f64 x x 256) (*.f64 x 16))))
(*.f64 (pow.f64 (/.f64 116 (fma.f64 x x -256)) -1) (/.f64 1 (+.f64 x -16)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) (+.f64 x 16))) (cbrt.f64 1/116))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x 16) 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 5/2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(pow.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(pow.f64 (/.f64 (/.f64 116 (+.f64 x 16)) 1) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 2))) (cbrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))))
(neg.f64 (/.f64 (+.f64 x 16) -116))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) -1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
Outputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 0 (*.f64 (+.f64 x 16) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) 1/116)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) (pow.f64 (cbrt.f64 1/116) 3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) (pow.f64 (sqrt.f64 1/116) 2))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (*.f64 (+.f64 x 16) 1/116) (log.f64 (E.f64)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1 (*.f64 (+.f64 x 16) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (neg.f64 (+.f64 x 16)) -1/116)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (+.f64 x 16))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 x 16) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 1/3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) (+.f64 x 16)) 1/3) (cbrt.f64 1/116))
(*.f64 (cbrt.f64 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))))
(*.f64 (cbrt.f64 1/116) (cbrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 3))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x 16) 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) (*.f64 1/116 (cbrt.f64 (+.f64 4/29 (*.f64 1/116 x))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 1/116 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 1/116 x)) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 1/116 x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/116 x 4/29))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2) -1) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (cbrt.f64 (+.f64 4/29 (*.f64 1/116 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2)))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2)))
(/.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2))
(*.f64 (pow.f64 (/.f64 116 (+.f64 (pow.f64 x 3) 4096)) -1) (/.f64 1 (-.f64 (fma.f64 x x 256) (*.f64 x 16))))
(*.f64 (/.f64 1 (/.f64 116 (+.f64 (pow.f64 x 3) 4096))) (/.f64 1 (-.f64 (fma.f64 x x 256) (*.f64 x 16))))
(/.f64 (*.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (+.f64 (fma.f64 x x 256) (*.f64 x -16)))
(/.f64 (+.f64 (*.f64 1/116 (pow.f64 x 3)) 1024/29) (fma.f64 x -16 (fma.f64 x x 256)))
(/.f64 1/116 (/.f64 (fma.f64 x -16 (fma.f64 x x 256)) (+.f64 (pow.f64 x 3) 4096)))
(*.f64 (pow.f64 (/.f64 116 (fma.f64 x x -256)) -1) (/.f64 1 (+.f64 x -16)))
(*.f64 (/.f64 1 (/.f64 116 (fma.f64 x x -256))) (/.f64 1 (+.f64 x -16)))
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) (+.f64 x 16))) (cbrt.f64 1/116))
(*.f64 (cbrt.f64 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))))
(*.f64 (cbrt.f64 1/116) (cbrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x 16) 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) (*.f64 1/116 (cbrt.f64 (+.f64 4/29 (*.f64 1/116 x))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 1/116 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 5/2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 1/116 x)) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 1/116 x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/116 x 4/29))))
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) 1/2)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (/.f64 (/.f64 116 (+.f64 x 16)) 1) -1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 2))) (cbrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 4/29 (*.f64 1/116 x))) 2))) (cbrt.f64 (log.f64 (+.f64 4/29 (*.f64 1/116 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/116 x 4/29)) 2))) (cbrt.f64 (log.f64 (fma.f64 1/116 x 4/29))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 1/116 x -25/29)) 2))) (cbrt.f64 (log1p.f64 (fma.f64 1/116 x -25/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(neg.f64 (/.f64 (+.f64 x 16) -116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 1/3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) -1))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)

eval60.0ms (3.9%)

Compiler

Compiled 918 to 787 computations (14.3% saved)

prune12.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New73376
Fresh000
Picked011
Done000
Total73477
Accuracy
100.0%
Counts
77 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x 16) 116)
▶98.3%
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
▶49.7%
(*.f64 1/116 x)
52.0%
4/29
✓100.0%
(/.f64 (+.f64 x 16) 116)
▶98.3%
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
▶49.7%
(*.f64 1/116 x)
52.0%
4/29
Compiler

Compiled 40 to 34 computations (15% saved)

localize71.0ms (4.6%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓99.9%
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
✓98.4%
(exp.f64 (log.f64 1/116))
✓99.9%
(*.f64 1/116 x)
Compiler

Compiled 25 to 20 computations (20% saved)

series1.0ms (0.1%)

Counts
3 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 1/116 x)
0.0ms
x
@0
(*.f64 1/116 x)
0.0ms
x
@inf
(*.f64 1/116 x)
0.0ms
x
@0
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
0.0ms
x
@-inf
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))

rewrite63.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
806×unpow-prod-down
590×log-prod
580×log1p-expm1-u
580×expm1-log1p-u
512×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01327
114627
2157123
Stop Event
1×node limit
Counts
3 → 60
Calls
Call 1
Inputs
(*.f64 1/116 x)
(exp.f64 (log.f64 1/116))
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
Outputs
(+.f64 0 (*.f64 x 1/116))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) x))))
(-.f64 (+.f64 1 (*.f64 x 1/116)) 1)
(pow.f64 (*.f64 x 1/116) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/116)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/116) 2) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/116)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x 1/116)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 1/116))) 2)) (cbrt.f64 (log.f64 (*.f64 x 1/116))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 1/116)))) (sqrt.f64 (log.f64 (*.f64 x 1/116))))
(sqrt.f64 (pow.f64 (*.f64 x 1/116) 2))
(log.f64 (pow.f64 (exp.f64 1/116) x))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))
(expm1.f64 (log1p.f64 (*.f64 x 1/116)))
(exp.f64 (log.f64 (*.f64 x 1/116)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/116))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 1/116))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/116))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 1/116)))
1/116
(+.f64 (*.f64 x 1/116) 4/29)
(+.f64 0 (fma.f64 x 1/116 4/29))
(+.f64 4/29 (*.f64 x 1/116))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(-.f64 (+.f64 1 (fma.f64 x 1/116 4/29)) 1)
(/.f64 (*.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (-.f64 (fma.f64 x x 256) (*.f64 x 16)))
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 4096) 1/116) (-.f64 (fma.f64 x x 256) (*.f64 x 16)))
(/.f64 (*.f64 (fma.f64 x x -256) 1/116) (+.f64 x -16))
(pow.f64 (fma.f64 x 1/116 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x 1/116 4/29)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/116 4/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/116 4/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/116 4/29)))) (sqrt.f64 (log.f64 (fma.f64 x 1/116 4/29))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (log.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 1/116 4/29))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 1 (*.f64 x 1/116) 4/29)
(fma.f64 (*.f64 x 1/116) 1 4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/116) 4/29)
(fma.f64 (cbrt.f64 (*.f64 x 1/116)) (pow.f64 (cbrt.f64 (*.f64 x 1/116)) 2) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/116)) 2) (cbrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/116) 4/29)
(fma.f64 (sqrt.f64 (*.f64 x 1/116)) (sqrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 (*.f64 1/116 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)
(fma.f64 (*.f64 1/116 (sqrt.f64 x)) (sqrt.f64 x) 4/29)

simplify66.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
744×associate-*r*
678×log-prod
646×associate-*l*
640×fma-def
466×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01561200
13381136
28851128
344411126
Stop Event
1×node limit
Counts
72 → 80
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 0 (*.f64 x 1/116))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) x))))
(-.f64 (+.f64 1 (*.f64 x 1/116)) 1)
(pow.f64 (*.f64 x 1/116) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/116)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/116) 2) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/116)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x 1/116)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 1/116))) 2)) (cbrt.f64 (log.f64 (*.f64 x 1/116))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 1/116)))) (sqrt.f64 (log.f64 (*.f64 x 1/116))))
(sqrt.f64 (pow.f64 (*.f64 x 1/116) 2))
(log.f64 (pow.f64 (exp.f64 1/116) x))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))
(expm1.f64 (log1p.f64 (*.f64 x 1/116)))
(exp.f64 (log.f64 (*.f64 x 1/116)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/116))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 1/116))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/116))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 1/116)))
1/116
(+.f64 (*.f64 x 1/116) 4/29)
(+.f64 0 (fma.f64 x 1/116 4/29))
(+.f64 4/29 (*.f64 x 1/116))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(-.f64 (+.f64 1 (fma.f64 x 1/116 4/29)) 1)
(/.f64 (*.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (-.f64 (fma.f64 x x 256) (*.f64 x 16)))
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 4096) 1/116) (-.f64 (fma.f64 x x 256) (*.f64 x 16)))
(/.f64 (*.f64 (fma.f64 x x -256) 1/116) (+.f64 x -16))
(pow.f64 (fma.f64 x 1/116 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x 1/116 4/29)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/116 4/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/116 4/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/116 4/29)))) (sqrt.f64 (log.f64 (fma.f64 x 1/116 4/29))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (log.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 1/116 4/29))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 1 (*.f64 x 1/116) 4/29)
(fma.f64 (*.f64 x 1/116) 1 4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/116) 4/29)
(fma.f64 (cbrt.f64 (*.f64 x 1/116)) (pow.f64 (cbrt.f64 (*.f64 x 1/116)) 2) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/116)) 2) (cbrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/116) 4/29)
(fma.f64 (sqrt.f64 (*.f64 x 1/116)) (sqrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 (*.f64 1/116 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)
(fma.f64 (*.f64 1/116 (sqrt.f64 x)) (sqrt.f64 x) 4/29)
Outputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 0 (*.f64 x 1/116))
(*.f64 1/116 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) x))))
(*.f64 1/116 x)
(-.f64 (+.f64 1 (*.f64 x 1/116)) 1)
(*.f64 1/116 x)
(pow.f64 (*.f64 x 1/116) 1)
(*.f64 1/116 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/116)) 3)
(*.f64 1/116 x)
(pow.f64 (pow.f64 (*.f64 x 1/116) 2) 1/2)
(*.f64 1/116 x)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1/3)
(*.f64 1/116 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/116)) 2)
(*.f64 1/116 x)
(pow.f64 (E.f64) (log.f64 (*.f64 x 1/116)))
(*.f64 1/116 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 1/116))) 2)) (cbrt.f64 (log.f64 (*.f64 x 1/116))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/116 x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/116 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 1/116)))) (sqrt.f64 (log.f64 (*.f64 x 1/116))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/116 x)))) (sqrt.f64 (log.f64 (*.f64 1/116 x))))
(sqrt.f64 (pow.f64 (*.f64 x 1/116) 2))
(*.f64 1/116 x)
(log.f64 (pow.f64 (exp.f64 1/116) x))
(*.f64 1/116 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))
(*.f64 1/116 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/116)))
(*.f64 1/116 x)
(exp.f64 (log.f64 (*.f64 x 1/116)))
(*.f64 1/116 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/116))) 3))
(*.f64 1/116 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 1/116))) 1/3))
(*.f64 1/116 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/116))) 2))
(*.f64 1/116 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/116)))
(*.f64 1/116 x)
1/116
(+.f64 (*.f64 x 1/116) 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 0 (fma.f64 x 1/116 4/29))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(fma.f64 1/116 x 4/29)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(-.f64 (+.f64 1 (fma.f64 x 1/116 4/29)) 1)
(fma.f64 1/116 x 4/29)
(/.f64 (*.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (-.f64 (fma.f64 x x 256) (*.f64 x 16)))
(/.f64 1/116 (/.f64 (-.f64 (fma.f64 x x 256) (*.f64 x 16)) (+.f64 (pow.f64 x 3) 4096)))
(/.f64 (fma.f64 1/116 (pow.f64 x 3) 1024/29) (+.f64 (fma.f64 x x 256) (*.f64 x -16)))
(/.f64 (fma.f64 1/116 (pow.f64 x 3) 1024/29) (fma.f64 x -16 (fma.f64 x x 256)))
(/.f64 (fma.f64 1/116 (pow.f64 x 3) 1024/29) (+.f64 256 (*.f64 x (+.f64 x -16))))
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
(/.f64 1/116 (/.f64 (+.f64 x -16) (fma.f64 x x -256)))
(*.f64 (/.f64 1/116 (+.f64 x -16)) (fma.f64 x x -256))
(*.f64 (fma.f64 x x -256) (/.f64 1/116 (+.f64 x -16)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 4096) 1/116) (-.f64 (fma.f64 x x 256) (*.f64 x 16)))
(/.f64 1/116 (/.f64 (-.f64 (fma.f64 x x 256) (*.f64 x 16)) (+.f64 (pow.f64 x 3) 4096)))
(/.f64 (fma.f64 1/116 (pow.f64 x 3) 1024/29) (+.f64 (fma.f64 x x 256) (*.f64 x -16)))
(/.f64 (fma.f64 1/116 (pow.f64 x 3) 1024/29) (fma.f64 x -16 (fma.f64 x x 256)))
(/.f64 (fma.f64 1/116 (pow.f64 x 3) 1024/29) (+.f64 256 (*.f64 x (+.f64 x -16))))
(/.f64 (*.f64 (fma.f64 x x -256) 1/116) (+.f64 x -16))
(/.f64 1/116 (/.f64 (+.f64 x -16) (fma.f64 x x -256)))
(*.f64 (/.f64 1/116 (+.f64 x -16)) (fma.f64 x x -256))
(*.f64 (fma.f64 x x -256) (/.f64 1/116 (+.f64 x -16)))
(pow.f64 (fma.f64 x 1/116 4/29) 1)
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2) 1/2)
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2)
(fma.f64 1/116 x 4/29)
(pow.f64 (E.f64) (log.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/116 4/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/116 4/29))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/116 x 4/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/116 x 4/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/116 4/29)))) (sqrt.f64 (log.f64 (fma.f64 x 1/116 4/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/116 x 4/29)))) (sqrt.f64 (log.f64 (fma.f64 1/116 x 4/29))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(fma.f64 1/116 x 4/29)
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 1/116 4/29))) 1/3))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 1 (*.f64 x 1/116) 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (*.f64 x 1/116) 1 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/116) 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (cbrt.f64 (*.f64 x 1/116)) (pow.f64 (cbrt.f64 (*.f64 x 1/116)) 2) 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/116)) 2) (cbrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/116) 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (sqrt.f64 (*.f64 x 1/116)) (sqrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (*.f64 1/116 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (*.f64 1/116 (sqrt.f64 x)) (sqrt.f64 x) 4/29)
(fma.f64 1/116 x 4/29)

eval23.0ms (1.5%)

Compiler

Compiled 723 to 589 computations (18.5% saved)

prune12.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh011
Picked022
Done011
Total80484
Accuracy
100.0%
Counts
84 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓98.3%
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
✓49.7%
(*.f64 1/116 x)
52.0%
4/29
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓98.3%
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
✓49.7%
(*.f64 1/116 x)
52.0%
4/29
Compiler

Compiled 40 to 34 computations (15% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓98.3%
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
✓49.7%
(*.f64 1/116 x)
52.0%
4/29
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓98.3%
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
✓49.7%
(*.f64 1/116 x)
52.0%
4/29
Compiler

Compiled 40 to 34 computations (15% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune8.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓98.3%
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
✓49.7%
(*.f64 1/116 x)
52.0%
4/29
Compiler

Compiled 37 to 31 computations (16.2% saved)

regimes12.0ms (0.7%)

Counts
4 → 1
Calls
Call 1
Inputs
4/29
(*.f64 1/116 x)
(/.f64 (+.f64 x 16) 116)
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
Outputs
(/.f64 (+.f64 x 16) 116)
Calls

3 calls:

4.0ms
x
3.0ms
(/.f64 (+.f64 x 16) 116)
3.0ms
(+.f64 x 16)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (+.f64 x 16) 116)
100.0%1(+.f64 x 16)
Compiler

Compiled 29 to 23 computations (20.7% saved)

regimes10.0ms (0.6%)

Counts
2 → 3
Calls
Call 1
Inputs
4/29
(*.f64 1/116 x)
Outputs
(*.f64 1/116 x)
4/29
(*.f64 1/116 x)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
4/29
Outputs
4/29
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
52.0%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch39.0ms (2.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.941012654952689e-7
2423658884.1596923
20.0ms
-80285179828.38603
-0.1959168781210712
Results
30.0ms320×body256valid
Compiler

Compiled 170 to 148 computations (12.9% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×+-commutative
2×if-if-or-not
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02059
12759
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
(if (<=.f64 x -16) (*.f64 1/116 x) (if (<=.f64 x 16) 4/29 (*.f64 1/116 x)))
4/29
Outputs
(/.f64 (+.f64 x 16) 116)
(if (<=.f64 x -16) (*.f64 1/116 x) (if (<=.f64 x 16) 4/29 (*.f64 1/116 x)))
(if (or (<=.f64 x -16) (not (<=.f64 x 16))) (*.f64 x 1/116) 4/29)
4/29
Compiler

Compiled 22 to 18 computations (18.2% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess69.0ms (4.5%)

Compiler

Compiled 52 to 42 computations (19.2% saved)

Profiling

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