Jmat.Real.dawson

Time bar (total: 10.5s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 175 to 47 computations (73.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)

sample3.1s (29.5%)

Results
2.5s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-mult: 1.3s (65.3% of total)
ival-add: 547.0ms (26.9% of total)
ival-div: 92.0ms (4.5% of total)
const: 61.0ms (3% of total)
backward-pass: 4.0ms (0.2% of total)
Bogosity

preprocess106.0ms (1%)

Algorithm
egg-herbie
Rules
980×fma-define
621×distribute-rgt-out
469×neg-sub0
458×neg-mul-1
457×distribute-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0822924
13221596
211741024
35701904
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x)))))) (neg.f64 x))
(neg.f64 (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x)))))) (neg.f64 x)))
Outputs
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x)) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)))))) x) (+.f64 (*.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1665589/2000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) #s(literal 70002721/5000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 694555761/10000000000 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))))
(*.f64 x (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1665589/2000000000 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))))))
(/.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x x))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) #s(literal 70002721/5000000000 binary64))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))))
(/.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 4 binary64))))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 4 binary64))))))))
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(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x)) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)))))) x) (+.f64 (*.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1665589/2000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) #s(literal 70002721/5000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 694555761/10000000000 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))))
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(/.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x x))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) #s(literal 70002721/5000000000 binary64))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))))
(/.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 4 binary64))))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 4 binary64))))))))
Symmetry

(negabs x)

explain1.3s (12.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1070-0-(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
720-1(1.24938322581748e+160)(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
00-0-x
00-0-(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))
00-0-(*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
00-0-(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
00-0-(*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-#s(literal 1665589/2000000000 binary64)
00-0-(*.f64 x x)
00-0-#s(literal 36322091/5000000000 binary64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-#s(literal 106015151/2500000000 binary64)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x)))
00-0-(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))
00-0-(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
00-0-#s(literal 2909738639/10000000000 binary64)
00-0-(*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)))
00-0-#s(literal 694555761/10000000000 binary64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-#s(literal 1789971/10000000000 binary64)
00-0-(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
00-0-#s(literal 2 binary64)
00-0-#s(literal 7715471019/10000000000 binary64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
00-0-(*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
00-0-(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
00-0-#s(literal 2532017/5000000000 binary64)
00-0-(*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))
00-0-#s(literal 70002721/5000000000 binary64)
00-0-#s(literal 1049934947/10000000000 binary64)
00-0-#s(literal 1 binary64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-(*.f64 (*.f64 x x) (*.f64 x x))
Results
848.0ms512×256valid
Compiler

Compiled 2266 to 536 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 721.0ms
ival-mult: 547.0ms (75.9% of total)
ival-add: 144.0ms (20% of total)
const: 23.0ms (3.2% of total)
ival-div: 7.0ms (1% of total)

eval5.0ms (0%)

Compiler

Compiled 410 to 201 computations (51% saved)

prune17.0ms (0.2%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
58.1%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x)) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)))))) x) (+.f64 (*.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1665589/2000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) #s(literal 70002721/5000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 694555761/10000000000 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))))
58.1%
(/.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x x))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) #s(literal 70002721/5000000000 binary64))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))))
58.2%
(/.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 4 binary64))))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 4 binary64))))))))
58.2%
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
58.1%
(*.f64 x (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1665589/2000000000 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))))))
Compiler

Compiled 1174 to 506 computations (56.9% saved)

localize3.6s (34.6%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
99.8%
(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
99.8%
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
74.0%
(*.f64 x (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1665589/2000000000 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))))))
58.9%
(/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1665589/2000000000 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))))
99.8%
(pow.f64 (*.f64 x x) #s(literal 4 binary64))
99.7%
(*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))
99.7%
(*.f64 x #s(literal 7715471019/10000000000 binary64))
59.0%
(/.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x x))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) #s(literal 70002721/5000000000 binary64))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))))
99.8%
(*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))
99.7%
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
74.0%
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
58.9%
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
99.8%
(*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x))
99.8%
(*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))
99.7%
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
59.0%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x)) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)))))) x) (+.f64 (*.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1665589/2000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) #s(literal 70002721/5000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 694555761/10000000000 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))))
99.9%
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)))
99.8%
(*.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 4 binary64)))
99.7%
(*.f64 x #s(literal 7715471019/10000000000 binary64))
59.0%
(/.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 4 binary64))))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 4 binary64))))))))
Results
2.7s256×256valid
Compiler

Compiled 3240 to 1264 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0s
ival-pow: 954.0ms (31.7% of total)
ival-mult: 843.0ms (28% of total)
composed: 627.0ms (20.9% of total)
ival-add: 486.0ms (16.2% of total)
const: 67.0ms (2.2% of total)
ival-div: 30.0ms (1% of total)

series41.0ms (0.4%)

Counts
20 → 216
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 4 binary64))))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 4 binary64))))))))>
#<alt (*.f64 x #s(literal 7715471019/10000000000 binary64))>
#<alt (*.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x)) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)))))) x) (+.f64 (*.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1665589/2000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) #s(literal 70002721/5000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 694555761/10000000000 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))))>
#<alt (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))>
#<alt (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x))>
#<alt (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))>
#<alt (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)>
#<alt (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))>
#<alt (/.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x x))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) #s(literal 70002721/5000000000 binary64))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))))>
#<alt (*.f64 x #s(literal 7715471019/10000000000 binary64))>
#<alt (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))>
#<alt (pow.f64 (*.f64 x x) #s(literal 4 binary64))>
#<alt (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1665589/2000000000 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))))>
#<alt (*.f64 x (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1665589/2000000000 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))))))>
#<alt (pow.f64 (*.f64 x x) #s(literal 3 binary64))>
#<alt (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))>
Outputs
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 833192009/1250000000 binary64)))))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x))>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) x)>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) x)>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) x)>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) x)>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) x)>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) x)>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) x)>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) x)>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) x)>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) x)>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) x)>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 833192009/1250000000 binary64)))))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x))>
#<alt (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 833192009/1250000000 binary64))))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (pow.f64 x #s(literal 2 binary64)))>
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Calls

60 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/ (* x (+ (+ (* 2532017/5000000000 (pow x 8)) (+ (* 1049934947/10000000000 (* x x)) (+ (* 106015151/2500000000 (pow x 4)) 1))) (* (pow x 6) (+ 36322091/5000000000 (* 1789971/10000000000 (pow x 4)))))) (+ (* 1789971/5000000000 (pow x 12)) (+ (+ (* (pow x 8) 70002721/5000000000) (+ (* x (* x 7715471019/10000000000)) (+ (* 2909738639/10000000000 (pow x 4)) 1))) (* (pow x 6) (+ 694555761/10000000000 (* 1665589/2000000000 (pow x 4)))))))
2.0ms
x
@inf
(/ (* x (+ (+ (* 1049934947/10000000000 (* x x)) (+ (* 106015151/2500000000 (pow x 4)) 1)) (+ (* 36322091/5000000000 (pow x 6)) (* (pow (* x x) 4) (+ 2532017/5000000000 (* 1789971/10000000000 (* x x))))))) (+ (* (pow (* x x) 4) (+ (* 1665589/2000000000 (* x x)) 70002721/5000000000)) (+ (* 1789971/5000000000 (pow (pow x 4) 3)) (+ (* (pow x 6) 694555761/10000000000) (+ (* x (* x 7715471019/10000000000)) (+ (* 2909738639/10000000000 (pow x 4)) 1))))))
1.0ms
x
@inf
(/ (* x (+ (+ (* 2532017/5000000000 (pow x 8)) (+ (* 1049934947/10000000000 (* x x)) (+ (* 106015151/2500000000 (pow x 4)) 1))) (* (pow x 6) (+ 36322091/5000000000 (* 1789971/10000000000 (pow x 4)))))) (+ (* 1789971/5000000000 (pow x 12)) (+ (+ (* (pow x 8) 70002721/5000000000) (+ (* x (* x 7715471019/10000000000)) (+ (* 2909738639/10000000000 (pow x 4)) 1))) (* (pow x 6) (+ 694555761/10000000000 (* 1665589/2000000000 (pow x 4)))))))
1.0ms
x
@0
(/ (* x (+ (+ (* 1049934947/10000000000 (* x x)) (+ (* 106015151/2500000000 (pow x 4)) 1)) (+ (* 36322091/5000000000 (pow x 6)) (* (pow (* x x) 4) (+ 2532017/5000000000 (* 1789971/10000000000 (* x x))))))) (+ (* (pow (* x x) 4) (+ (* 1665589/2000000000 (* x x)) 70002721/5000000000)) (+ (* 1789971/5000000000 (pow (pow x 4) 3)) (+ (* (pow x 6) 694555761/10000000000) (+ (* x (* x 7715471019/10000000000)) (+ (* 2909738639/10000000000 (pow x 4)) 1))))))
1.0ms
x
@inf
(/ (* (+ (* 1789971/10000000000 (* (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x))))) (+ (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* 106015151/2500000000 (* x x)) (* x x)))) (+ (* 36322091/5000000000 (* (* x x) (* x (* x (* x x))))) (* 2532017/5000000000 (* (* (* x x) (* x (* x (* x x)))) (* x x)))))) x) (+ (* 1789971/5000000000 (* (* (* (* x x) (* x (* x (* x x)))) (* x x)) (* x (* x (* x x))))) (+ (* (* (* (* x x) (* x (* x (* x x)))) (* x (* x (* x x)))) 1665589/2000000000) (+ (* (* (* (* x x) (* x (* x (* x x)))) (* x x)) 70002721/5000000000) (+ (* (* (* x x) (* x (* x (* x x)))) 694555761/10000000000) (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* x (* x (* x x))))))))))

rewrite341.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
980×log1p-expm1-u
980×expm1-log1p-u
508×prod-diff
417×fma-define
147×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01401769
130721749
Stop Event
node limit
Counts
20 → 173
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 4 binary64))))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(*.f64 x #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x)) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)))))) x) (+.f64 (*.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1665589/2000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) #s(literal 70002721/5000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 694555761/10000000000 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))
(*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x))
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))
(/.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x x))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) #s(literal 70002721/5000000000 binary64))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))))
(*.f64 x #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))
(pow.f64 (*.f64 x x) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1665589/2000000000 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))))
(*.f64 x (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1665589/2000000000 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))))))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
Outputs
(*.f64 x (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1789971/10000000000 binary64) #s(literal 36322091/5000000000 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1665589/2000000000 binary64) #s(literal 694555761/10000000000 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64) #s(literal 1 binary64))))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1789971/10000000000 binary64) #s(literal 36322091/5000000000 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1665589/2000000000 binary64) #s(literal 694555761/10000000000 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64) #s(literal 1 binary64))))))))
(*.f64 (*.f64 x (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1789971/10000000000 binary64) #s(literal 36322091/5000000000 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1665589/2000000000 binary64) #s(literal 694555761/10000000000 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64) #s(literal 1 binary64))))))))
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(cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 (*.f64 x (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1665589/2000000000 binary64) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64))))))))) (*.f64 x (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 (*.f64 x (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1665589/2000000000 binary64) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64)))))))))) (*.f64 x (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 (*.f64 x (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1665589/2000000000 binary64) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64)))))))))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 (*.f64 x (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1665589/2000000000 binary64) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64)))))))))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 (*.f64 x (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1665589/2000000000 binary64) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64)))))))))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 (*.f64 x (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1665589/2000000000 binary64) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64)))))))))))
(*.f64 x (*.f64 x (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (pow.f64 x #s(literal 6 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) x) x)
(log.f64 (exp.f64 (pow.f64 x #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 6 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))
(exp.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (cbrt.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(log.f64 (exp.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))

simplify303.0ms (2.9%)

Algorithm
egg-herbie
Rules
686×fma-define
445×distribute-rgt-in
443×distribute-lft-in
356×associate-*l*
348×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043823073
196922217
2335620898
Stop Event
node limit
Counts
389 → 246
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 833192009/1250000000 binary64)))))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x))
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 833192009/1250000000 binary64)))))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x))
(*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(log.f64 (exp.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
Outputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -833192009/1250000000 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 833192009/1250000000 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64) (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -833192009/1250000000 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)))) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 x #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 x #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 x #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 x #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 x #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 x #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 x #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 x #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 x #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 x #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 x #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) x)
(*.f64 x #s(literal 7715471019/10000000000 binary64))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -833192009/1250000000 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 833192009/1250000000 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))) #s(literal -833192009/1250000000 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) #s(literal 3321371254951887171/12500000000000000000 binary64)) #s(literal -833192009/1250000000 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64) (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -833192009/1250000000 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)))) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
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eval638.0ms (6.1%)

Compiler

Compiled 38606 to 22377 computations (42% saved)

prune66.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4123415
Fresh000
Picked505
Done000
Total4173420
Accuracy
100.0%
Counts
420 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.5%
(/.f64 #s(literal 1/2 binary64) x)
55.3%
(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
55.9%
x
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize72.0ms (0.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
Results
53.0ms256×256valid
Compiler

Compiled 26 to 18 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 18.0ms (51.5% of total)
ival-pow: 12.0ms (34.3% of total)
ival-div: 2.0ms (5.7% of total)
ival-add: 1.0ms (2.9% of total)
const: 1.0ms (2.9% of total)

series2.0ms (0%)

Counts
1 → 0
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))>
Outputs
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* -833192009/1250000000 (pow x 3))
0.0ms
x
@-inf
(* -833192009/1250000000 (pow x 3))
0.0ms
x
@inf
(* -833192009/1250000000 (pow x 3))

rewrite63.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
501×associate-*r*
432×associate-*l*
282×unpow-prod-down
240×log1p-expm1-u
240×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
17416
273816
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/625000000 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/1250000000 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/2500000000 binary64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/2500000000 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal -833192009/1250000000 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -833192009/1250000000 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694208923861456081/1562500000000000000 binary64)))
(fabs.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/1250000000 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 #s(literal -833192009/1250000000 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -833192009/1250000000 binary64)))) #s(literal 2 binary64)))

simplify77.0ms (0.7%)

Algorithm
egg-herbie
Rules
429×sub-neg
366×fabs-mul
335×exp-prod
299×div-sub
273×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
094864
1176654
2429637
31921637
45183637
Stop Event
node limit
Counts
25 → 33
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/625000000 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/1250000000 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/2500000000 binary64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/2500000000 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal -833192009/1250000000 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -833192009/1250000000 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694208923861456081/1562500000000000000 binary64)))
(fabs.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/1250000000 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 #s(literal -833192009/1250000000 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -833192009/1250000000 binary64)))) #s(literal 2 binary64)))
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/625000000 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/1250000000 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/625000000 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -833192009/1250000000 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/2500000000 binary64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/2500000000 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/2500000000 binary64))))
(*.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/2500000000 binary64))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal -833192009/1250000000 binary64))) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -833192009/1250000000 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (E.f64) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694208923861456081/1562500000000000000 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(fabs.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -833192009/1250000000 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal -833192009/1250000000 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 #s(literal -833192009/1250000000 binary64)))) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -833192009/1250000000 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))

eval11.0ms (0.1%)

Compiler

Compiled 482 to 393 computations (18.5% saved)

prune70.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New33033
Fresh000
Picked033
Done000
Total33336
Accuracy
100.0%
Counts
36 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.5%
(/.f64 #s(literal 1/2 binary64) x)
55.3%
(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
55.9%
x
Compiler

Compiled 608 to 262 computations (56.9% saved)

regimes18.0ms (0.2%)

Counts
8 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x)) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)))))) x) (+.f64 (*.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1665589/2000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) #s(literal 70002721/5000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 694555761/10000000000 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))))
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
(/.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x x))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) #s(literal 70002721/5000000000 binary64))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))))
(/.f64 (*.f64 x (+.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 4 binary64))))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(*.f64 x (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1665589/2000000000 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x x)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))))))
Outputs
(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1/2 binary64) x)
Calls

2 calls:

10.0ms
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
5.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
100.0%2(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
Compiler

Compiled 176 to 47 computations (73.3% saved)

regimes8.0ms (0.1%)

Counts
2 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
Outputs
x
(/.f64 #s(literal 1/2 binary64) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

0.0ms
x
Results
AccuracySegmentsBranch
55.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch60.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
50.0ms
3.530744139466134e-6
132684550.9525183
Results
44.0ms160×0valid
Compiler

Compiled 318 to 159 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 24.0ms (69.7% of total)
ival-add: 8.0ms (23.2% of total)
ival-div: 1.0ms (2.9% of total)
const: 1.0ms (2.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
47.0ms
3.530744139466134e-6
132684550.9525183
Results
42.0ms160×0valid
Compiler

Compiled 258 to 109 computations (57.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 19.0ms (59.5% of total)
ival-add: 10.0ms (31.3% of total)
ival-div: 1.0ms (3.1% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02177
12377
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) (+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) x (/.f64 #s(literal 1/2 binary64) x))
x
Outputs
(if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) (+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) x (/.f64 #s(literal 1/2 binary64) x))
x

soundness474.0ms (4.5%)

Rules
980×fma-define
686×fma-define
621×distribute-rgt-out
469×neg-sub0
458×neg-mul-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0822924
13221596
211741024
35701904
043823073
196922217
2335620898
Stop Event
done
node limit
node limit
Compiler

Compiled 79 to 54 computations (31.6% saved)

preprocess56.0ms (0.5%)

Compiler

Compiled 456 to 168 computations (63.2% saved)

end0.0ms (0%)

Profiling

Loading profile data...