Metrics for Jmat.Real.dawson

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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 45 computations (74.3% 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)

...c/correct-round.rkt:119:19: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample4.2s (40.9%)

Results

3.4s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

...c/correct-round.rkt:119:19: 1.3s (42.9% of total)

ival-mult: 1.2s (39.1% of total)

ival-add: 464.0ms (15.3% of total)

ival-div: 62.0ms (2% of total)

const: 16.0ms (0.5% of total)

backward-pass: 4.0ms (0.1% of total)

Bogosity

preprocess148.0ms (1.4%)

Algorithm

1×	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)

Iter	Nodes	Cost
0	82	2924
1	322	1596
2	1174	1024
3	5701	904

Stop Event

1×	node limit

Calls

Call 1

Inputs
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(.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))))))))))
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(.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))))))))
(.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))
(/.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)))))) (neg.f64 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 (neg.f64 (/.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 (neg.f64 x) (/.f64 (+.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 (neg.f64 x) (/.f64 (+.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)))))))))
(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)))
(/.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))))))))

Symmetry

(negabs x)

explain489.0ms (4.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
107	-	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)))))
58	-	4	(1.0509712893919431e+161)	(.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)
0	-	0	-	`x`
0	-	0	-	`(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))`
0	-	0	-	`(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`
0	-	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))))`
0	-	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)))`
0	-	0	-	`#s(literal 1665589/2000000000 binary64)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`#s(literal 36322091/5000000000 binary64)`
0	-	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))))`
0	-	0	-	`#s(literal 106015151/2500000000 binary64)`
0	-	0	-	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))`
0	-	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))))`
0	-	0	-	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))`
0	-	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))))`
0	-	0	-	`#s(literal 2909738639/10000000000 binary64)`
0	-	0	-	`(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`
0	-	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)))`
0	-	0	-	`(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x)))`
0	-	0	-	`#s(literal 694555761/10000000000 binary64)`
0	-	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))))
0	-	0	-	`#s(literal 1789971/10000000000 binary64)`
0	-	0	-	`(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`#s(literal 7715471019/10000000000 binary64)`
0	-	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))))`
0	-	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))))
0	-	0	-	`(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))`
0	-	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)))`
0	-	0	-	`(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))`
0	-	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))))`
0	-	0	-	`#s(literal 2532017/5000000000 binary64)`
0	-	0	-	`(.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))`
0	-	0	-	`#s(literal 70002721/5000000000 binary64)`
0	-	0	-	`#s(literal 1049934947/10000000000 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	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))))
0	-	0	-	`(.f64 (.f64 x x) (*.f64 x x))`

Results

263.0ms

512×

valid

Compiler

Compiled 2266 to 134 computations (94.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

...c/correct-round.rkt:119:19: 78.0ms (42.5% of total)

ival-mult: 70.0ms (38.2% of total)

ival-add: 30.0ms (16.4% of total)

ival-div: 4.0ms (2.2% of total)

const: 1.0ms (0.5% of total)

backward-pass: 0.0ms (0% of total)

eval2.0ms (0%)

Compiler: Compiled 410 to 107 computations (73.9% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.2%	(/.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))))))))))
▶	58.2%	(.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)

Status

Accuracy

Program

▶

58.2%

(/.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))))))))))

▶

58.2%

(*.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 346 to 89 computations (74.3% saved)

simplify380.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))

Rules

997×	`distribute-lft-in`
729×	`associate-/l*`
665×	`distribute-rgt-out`
518×	`distribute-rgt-in`
496×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	5367
1	293	3236
2	1050	2806
3	4056	2573
4	6127	2573
5	6577	2573
6	7145	2573
7	7531	2573
8	7563	2573
9	7563	2573

Stop Event

1×	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)
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Outputs
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(fma.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 70002721/5000000000 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 694555761/10000000000 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 7715471019/10000000000 binary64))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 70002721/5000000000 binary64))) #s(literal 694555761/10000000000 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 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)) #s(literal 70002721/5000000000 binary64))
(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
#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))))))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 694555761/10000000000 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 7715471019/10000000000 binary64))) (.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 694555761/10000000000 binary64))
(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)))
#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 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 7715471019/10000000000 binary64))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 7715471019/10000000000 binary64)))
(fma.f64 (*.f64 x x) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 7715471019/10000000000 binary64))
(.f64 x (.f64 x #s(literal 7715471019/10000000000 binary64)))
#s(literal 7715471019/10000000000 binary64)
(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 x (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 2909738639/10000000000 binary64)

localize461.0ms (4.5%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 #s(literal 106015151/2500000000 binary64) (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
✓	accuracy	59.1%	(/.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))))))))))
✓	accuracy	99.8%	(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
✓	accuracy	79.9%	(.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)
✓	accuracy	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)))))

Results

254.0ms

256×

valid

Compiler

Compiled 2001 to 74 computations (96.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-mult: 109.0ms (58.4% of total)

...c/correct-round.rkt:119:19: 43.0ms (23.1% of total)

ival-add: 24.0ms (12.9% of total)

ival-div: 11.0ms (5.9% of total)

const: 1.0ms (0.5% of total)

backward-pass: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts

8 → 84

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))>
#<alt (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))>
#<alt (*.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 (.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))))))))))>

Outputs
#<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 (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (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)))>
#<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 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))>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (+ (+ (+ (+ (+ 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)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))))
1.0ms	x	@	-inf	(/ (+ (+ (+ (+ (+ 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)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))))
1.0ms	x	@	0	(/ (+ (+ (+ (+ (+ 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)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))))
1.0ms	x	@	inf	(* 106015151/2500000000 (* x x))
1.0ms	x	@	0	(* 1049934947/10000000000 (* x x))

rewrite310.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

517×	`log1p-expm1-u`
517×	`expm1-log1p-u`
480×	`pow1`
443×	`prod-diff`
384×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	1142
1	1701	749

Stop Event

1×	node limit

Counts

8 → 104

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))
(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
(*.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 (.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))))))))))

Outputs
#s(literal 1789971/5000000000 binary64)
(-.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1157409850532687051027096123/1000000000000000000000000000000 binary64)) #s(literal 1/3 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 1049934947/10000000000 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1157409850532687051027096123/1000000000000000000000000000000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 459290362893663527321792099859/1000000000000000000000000000000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7715471019/10000000000 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 459290362893663527321792099859/1000000000000000000000000000000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 106015151/2500000000 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64))))
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(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 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 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64)))))))))) #s(literal 1 binary64)))

simplify329.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

281×	`fma-define`
244×	`exp-prod`
242×	`fma-neg`
223×	`distribute-lft-neg-out`
218×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	266	15547
1	512	15483
2	1433	15117
3	4980	14931

Stop Event

1×	node limit

Counts

188 → 160

Calls

Call 1

Inputs
(*.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)))
(*.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)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.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 #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) (pow.f64 x #s(literal 2 binary64)))
(/.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)))
(/.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)))
(/.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)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.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)))
(/.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)))
(/.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)))
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))
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))
#s(literal 1789971/5000000000 binary64)
(-.f64 (fma.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1157409850532687051027096123/1000000000000000000000000000000 binary64)) #s(literal 1/3 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 1049934947/10000000000 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1157409850532687051027096123/1000000000000000000000000000000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 459290362893663527321792099859/1000000000000000000000000000000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7715471019/10000000000 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 459290362893663527321792099859/1000000000000000000000000000000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64)) #s(literal 1 binary64))
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(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 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 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64)))))))))) #s(literal 1 binary64)))

Outputs
(*.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)))
(*.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)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64))
(*.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 106015151/2500000000 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -833192009/1250000000 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(+.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 #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))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
(+.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 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))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (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)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (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))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.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)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.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)))
(/.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))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.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)))
(/.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) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (+.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)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.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)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 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))))) (pow.f64 x #s(literal 2 binary64)))
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x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(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)))))
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(/.f64 (*.f64 x (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 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 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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))))))))
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(/.f64 (*.f64 x (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 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 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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))))))))

eval270.0ms (2.6%)

Compiler: Compiled 165482 to 5947 computations (96.4% saved)

prune217.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	1021	6	1027
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1022	7	1029

Accuracy

100.0%

Counts

1029 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
✓	58.2%	(/.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))))))))))
▶	46.7%	(/.f64 #s(literal 1/2 binary64) x)
▶	55.0%	(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 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 #s(literal 1789971/5000000000 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)
▶	25.5%	(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)
▶	56.0%	x

Compiler

Compiled 580 to 179 computations (69.1% saved)

simplify246.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	6592	(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	-5312	(.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))
✓	cost-diff	-5312	(.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)))
✓	cost-diff	-5056	(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))
✓	cost-diff	-5056	(.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))

Rules

711×	`fma-define`
693×	`distribute-lft-in`
664×	`distribute-rgt-out`
594×	`distribute-rgt-in`
549×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	2996
1	156	1791
2	638	1487
3	3302	1386
4	5463	1386
5	5617	1386
6	5845	1386
7	6390	1386
8	7116	1386
9	7145	1386

Stop Event

1×	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 #s(literal 1789971/5000000000 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 #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 #s(literal 1789971/5000000000 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 #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 #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 (+.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 (+.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 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x)))
#s(literal 1 binary64)
(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
#s(literal 1049934947/10000000000 binary64)
(*.f64 x x)
x
(.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
#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)))
#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)))
#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)))
#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 #s(literal 1789971/5000000000 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 #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 (+.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 (+.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 (+.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 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
#s(literal 7715471019/10000000000 binary64)
(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
#s(literal 2909738639/10000000000 binary64)
(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
#s(literal 694555761/10000000000 binary64)
(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))
#s(literal 70002721/5000000000 binary64)
(.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)))
#s(literal 1665589/2000000000 binary64)
(.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))
#s(literal 1789971/5000000000 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 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
x
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -833192009/1250000000 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

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 #s(literal 1789971/5000000000 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 x (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 106015151/2500000000 binary64) (.f64 x (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (pow.f64 x #s(literal 3 binary64))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64)) (.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2909738639/10000000000 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 694555761/10000000000 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 70002721/5000000000 binary64))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (pow.f64 x #s(literal 3 binary64)))) #s(literal 1665589/2000000000 binary64))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (pow.f64 x #s(literal 3 binary64)))))))))
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(+.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 #s(literal 1789971/5000000000 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 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64)) (.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2909738639/10000000000 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 694555761/10000000000 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 70002721/5000000000 binary64))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (pow.f64 x #s(literal 3 binary64)))) #s(literal 1665589/2000000000 binary64))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (pow.f64 x #s(literal 3 binary64)))))))
(fma.f64 #s(literal 1789971/5000000000 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1665589/2000000000 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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 (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1665589/2000000000 binary64)) #s(literal 70002721/5000000000 binary64))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64)))))))
(+.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 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64)) (.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2909738639/10000000000 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 694555761/10000000000 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 70002721/5000000000 binary64))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (pow.f64 x #s(literal 3 binary64)))) #s(literal 1665589/2000000000 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1665589/2000000000 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64)))) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1665589/2000000000 binary64)) #s(literal 70002721/5000000000 binary64))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64))))))
(+.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 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64)) (.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2909738639/10000000000 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 694555761/10000000000 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 70002721/5000000000 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #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 (+.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 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64)) (.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2909738639/10000000000 binary64)))) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 694555761/10000000000 binary64)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64))))
(+.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 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64)) (.f64 (*.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2909738639/10000000000 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)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #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 #s(literal 7715471019/10000000000 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64) #s(literal 1 binary64))
(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 7715471019/10000000000 binary64))
#s(literal 7715471019/10000000000 binary64)
(.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2909738639/10000000000 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2909738639/10000000000 binary64))
#s(literal 2909738639/10000000000 binary64)
(.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 694555761/10000000000 binary64))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64))
#s(literal 694555761/10000000000 binary64)
(.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 70002721/5000000000 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 70002721/5000000000 binary64)))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64))
#s(literal 70002721/5000000000 binary64)
(.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 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (pow.f64 x #s(literal 3 binary64)))) #s(literal 1665589/2000000000 binary64))
(.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1665589/2000000000 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1665589/2000000000 binary64)))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1665589/2000000000 binary64))
#s(literal 1665589/2000000000 binary64)
(.f64 #s(literal 1789971/5000000000 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 #s(literal 1789971/5000000000 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (pow.f64 x #s(literal 3 binary64))))))
(.f64 #s(literal 1789971/5000000000 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
#s(literal 1789971/5000000000 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 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 12 binary64))
x
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 x #s(literal 2 binary64))
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)
x
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -833192009/1250000000 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

localize280.0ms (2.7%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	accuracy	99.9%	(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	99.1%	(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	54.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
	accuracy	99.8%	(.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))
	accuracy	99.8%	(.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))
✓	accuracy	79.9%	(.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 #s(literal 1789971/5000000000 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)
✓	accuracy	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 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))))

Results

188.0ms

256×

valid

Compiler

Compiled 1077 to 55 computations (94.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

...c/correct-round.rkt:119:19: 67.0ms (49.7% of total)

ival-mult: 35.0ms (26% of total)

ival-add: 17.0ms (12.6% of total)

ival-pow: 8.0ms (5.9% of total)

ival-div: 7.0ms (5.2% of total)

const: 1.0ms (0.7% of total)

backward-pass: 0.0ms (0% of total)

series22.0ms (0.2%)

Counts

13 → 96

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 1789971/5000000000 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 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))>
#<alt (.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)))>
#<alt (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<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 #s(literal 1789971/5000000000 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 #s(literal 1789971/5000000000 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)>

Outputs
#<alt (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))>
#<alt (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))>
#<alt (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))>
#<alt (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))>
#<alt (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))>
#<alt (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))>
#<alt (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))>
#<alt (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))>
#<alt (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))>
#<alt (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))>
#<alt (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))>
#<alt (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))>
#<alt (pow.f64 x #s(literal 12 binary64))>
#<alt (pow.f64 x #s(literal 12 binary64))>
#<alt (pow.f64 x #s(literal 12 binary64))>
#<alt (pow.f64 x #s(literal 12 binary64))>
#<alt (pow.f64 x #s(literal 12 binary64))>
#<alt (pow.f64 x #s(literal 12 binary64))>
#<alt (pow.f64 x #s(literal 12 binary64))>
#<alt (pow.f64 x #s(literal 12 binary64))>
#<alt (pow.f64 x #s(literal 12 binary64))>
#<alt (pow.f64 x #s(literal 12 binary64))>
#<alt (pow.f64 x #s(literal 12 binary64))>
#<alt (pow.f64 x #s(literal 12 binary64))>
#<alt (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))>
#<alt (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))>
#<alt (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))>
#<alt (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))>
#<alt (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))>
#<alt (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))>
#<alt (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))>
#<alt (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))>
#<alt (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))>
#<alt (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))>
#<alt (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))>
#<alt (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))>
#<alt (pow.f64 x #s(literal 10 binary64))>
#<alt (pow.f64 x #s(literal 10 binary64))>
#<alt (pow.f64 x #s(literal 10 binary64))>
#<alt (pow.f64 x #s(literal 10 binary64))>
#<alt (pow.f64 x #s(literal 10 binary64))>
#<alt (pow.f64 x #s(literal 10 binary64))>
#<alt (pow.f64 x #s(literal 10 binary64))>
#<alt (pow.f64 x #s(literal 10 binary64))>
#<alt (pow.f64 x #s(literal 10 binary64))>
#<alt (pow.f64 x #s(literal 10 binary64))>
#<alt (pow.f64 x #s(literal 10 binary64))>
#<alt (pow.f64 x #s(literal 10 binary64))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 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 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64)))>
#<alt (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 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)))>
#<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))>

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))
1.0ms	x	@	inf	(* -833192009/1250000000 (pow x 3))
1.0ms	x	@	0	(* 1789971/5000000000 (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))
1.0ms	x	@	0	(* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))
0.0ms	x	@	0	(* -833192009/1250000000 (pow x 3))

rewrite153.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

451×	`log1p-expm1-u`
451×	`expm1-log1p-u`
427×	`add-exp-log`
427×	`add-log-exp`
418×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	1111
1	976	641

Stop Event

1×	node limit

Counts

13 → 208

Calls

Call 1

Inputs
(.f64 #s(literal 1789971/5000000000 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 x x) (.f64 x x)) (.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 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.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 #s(literal 1789971/5000000000 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 #s(literal 1789971/5000000000 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)

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (cbrt.f64 #s(literal 1789971/5000000000 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 5735060247816145611/125000000000000000000000000000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 1789971/5000000000 binary64)))
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(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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)))))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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)))))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))) x) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))) x) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))) x) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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 (.f64 (log.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))) x) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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))))))))) #s(literal 1 binary64)))

simplify176.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

478×	`fma-define`
385×	`times-frac`
328×	`associate-/r*`
245×	`unswap-sqr`
228×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	507	13351
1	913	12625
2	2637	12277

Stop Event

1×	node limit

Counts

304 → 309

Calls

Call 1

Inputs
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 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 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64)))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.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 #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) (pow.f64 x #s(literal 2 binary64)))
(/.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)))
(/.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)))
(/.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)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.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)))
(/.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)))
(/.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)))
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)
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))) x) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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)))))))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))) x) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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)))))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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)))))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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)))))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))) x) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))) x) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))) x) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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 (.f64 (log.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))) x) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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))))))))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(pow.f64 x #s(literal 12 binary64))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(pow.f64 x #s(literal 10 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -833192009/1250000000 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -833192009/1250000000 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 833192009/1250000000 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -833192009/1250000000 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 2 binary64))))
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(*.f64 x (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1665589/2000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 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)))))))))

eval59.0ms (0.6%)

Compiler: Compiled 28276 to 1558 computations (94.5% saved)

prune51.0ms (0.5%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	374	2	376
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	375	8	383

Accuracy

100.0%

Counts

383 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.4%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
✓	58.2%	(/.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))))))))))
▶	25.5%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
✓	46.7%	(/.f64 #s(literal 1/2 binary64) x)
✓	55.0%	(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 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 #s(literal 1789971/5000000000 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)
▶	25.5%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	56.0%	x

Compiler

Compiled 384 to 117 computations (69.5% saved)

simplify432.0ms (4.2%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	6592	(/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
	cost-diff	-6336	(*.f64 x x)
✓	cost-diff	-6336	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)

Rules

1286×	`cube-div`
1276×	`cube-prod`
801×	`swap-sqr`
771×	`pow-sqr`
446×	`unpow3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	193
1	26	193
2	39	163
3	42	163
4	73	163
5	120	163
6	315	163
7	1035	163
8	1942	163
9	2225	163
10	2617	163
11	3227	163
12	4112	163
13	4472	163
14	4684	163
15	4857	163
16	5049	163
17	5258	163
18	6549	163
19	7086	163
20	7269	163
21	7298	163
22	7300	163
23	7300	163
24	7411	163
25	7595	163
26	7798	163

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 600041/2386628 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

Outputs
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
x
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 600041/2386628 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

localize66.0ms (0.6%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
✓	accuracy	98.9%	(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	54.7%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.1%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	54.7%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)

Results

42.0ms

256×

valid

Compiler

Compiled 63 to 14 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 7.0ms (32.1% of total)

ival-mult: 6.0ms (27.6% of total)

...c/correct-round.rkt:119:19: 4.0ms (18.4% of total)

ival-pow: 3.0ms (13.8% of total)

ival-add: 1.0ms (4.6% of total)

const: 1.0ms (4.6% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

7 → 60

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 x x))>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))>

Outputs
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 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 #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 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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 (+.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 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (+ 1/2 (/ 600041/2386628 (pow x 2))) x)
0.0ms	x	@	inf	(/ (+ 1/2 (/ 600041/2386628 (pow x 2))) x)
0.0ms	x	@	0	(/ 600041/2386628 (pow x 2))
0.0ms	x	@	-inf	(* 1/2 x)
0.0ms	x	@	-inf	(/ (+ 1/2 (/ 600041/2386628 (pow x 2))) x)

rewrite216.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1091×	`log1p-expm1-u`
1091×	`expm1-log1p-u`
170×	`expm1-undefine`
170×	`log1p-undefine`
155×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	145
1	241	107
2	3120	107

Stop Event

1×	node limit

Counts

7 → 225

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 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 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) x)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(/.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
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(*.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(.f64 (fma.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 600041/4773256 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 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)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 600041/2386628 binary64) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x))
(*.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 600041/2386628 binary64))
(pow.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2386628/600041 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (*.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))

simplify110.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

293×	`cube-prod`
265×	`fma-define`
263×	`distribute-lft-neg-out`
262×	`distribute-lft-neg-in`
260×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	424	5771
1	815	5666
2	2965	5656

Stop Event

1×	node limit

Counts

285 → 244

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 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 #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) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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) (/.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) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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)))))
#s(literal 1/2 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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) x)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(/.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) x))))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))) (/.f64 (/.f64 #s(literal 360049201681/5695993210384 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))))))
(*.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(.f64 (fma.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 600041/4773256 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 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)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 600041/2386628 binary64) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x))
(*.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 600041/2386628 binary64))
(pow.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2386628/600041 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (*.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 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 #s(literal 600041/2386628 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 #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 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 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 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 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 (-.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 #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 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 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 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 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)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
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(fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 600041/2386628 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 (cbrt.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(.f64 (cbrt.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 600041/2386628 binary64))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (*.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) #s(literal 2 binary64))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2386628/600041 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(cbrt.f64 (*.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))

eval44.0ms (0.4%)

Compiler: Compiled 3380 to 739 computations (78.1% saved)

prune38.0ms (0.4%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	292	2	294
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	294	8	302

Accuracy

100.0%

Counts

302 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.4%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
✓	58.2%	(/.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))))))))))
▶	25.5%	(/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x x))
✓	46.7%	(/.f64 #s(literal 1/2 binary64) x)
✓	55.0%	(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 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 #s(literal 1789971/5000000000 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)
✓	25.5%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	56.0%	x

Compiler

Compiled 384 to 115 computations (70.1% saved)

simplify418.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
	cost-diff	0	(*.f64 x x)
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	256	(/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x x))

Rules

1538×	`cube-prod`
1064×	`cube-div`
870×	`pow-sqr`
825×	`swap-sqr`
435×	`unpow3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	153
1	24	135
2	34	135
3	66	135
4	86	135
5	182	135
6	355	135
7	951	135
8	1923	135
9	2263	135
10	2737	135
11	3466	135
12	4470	135
13	4893	135
14	5156	135
15	5327	135
16	5505	135
17	5693	135
18	7065	135
19	7680	135
20	7863	135
21	7895	135
22	7911	135
23	7933	135
24	7949	135

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 x x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
#s(literal 600041/2386628 binary64)
(*.f64 x x)
x

Outputs
(/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x x))
(.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 x x)))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 x x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)
#s(literal 600041/2386628 binary64)
(*.f64 x x)
x

localize46.0ms (0.4%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
✓	accuracy	98.9%	(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
	accuracy	100.0%	(*.f64 x x)
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	54.7%	(/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x x))

Results

31.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 5.0ms (32.9% of total)

ival-mult: 4.0ms (26.3% of total)

...c/correct-round.rkt:119:19: 4.0ms (26.3% of total)

ival-add: 1.0ms (6.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series4.0ms (0%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x x))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))>

Outputs
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 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 #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 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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 (+.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 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (+ 1/2 (/ 600041/2386628 (* x x))) x)
0.0ms	x	@	inf	(/ (+ 1/2 (/ 600041/2386628 (* x x))) x)
0.0ms	x	@	0	(+ 1/2 (/ 600041/2386628 (* x x)))
0.0ms	x	@	-inf	(/ (+ 1/2 (/ 600041/2386628 (* x x))) x)
0.0ms	x	@	0	(/ (* 1/2 x) (* x x))

rewrite124.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`log1p-expm1-u`
1016×	`expm1-log1p-u`
514×	`log-prod`
155×	`prod-diff`
154×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	94
1	187	71
2	2889	71

Stop Event

1×	node limit

Counts

4 → 149

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)) (sqrt.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
(.f64 (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))) (/.f64 (/.f64 #s(literal 360049201681/5695993210384 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))))))
(*.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(.f64 (fma.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 600041/4773256 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 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)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 600041/2386628 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 600041/2386628 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x))
(*.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 600041/2386628 binary64))
(*.f64 (/.f64 #s(literal 600041/2386628 binary64) x) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2386628/600041 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (*.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))

simplify136.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

492×	`fma-define`
425×	`associate-/l*`
390×	`fma-neg`
343×	`associate-*r/`
276×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	343	5094
1	651	4974
2	2006	4788
3	7326	4762

Stop Event

1×	node limit

Counts

197 → 185

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 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 #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) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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) (/.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) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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)))))
#s(literal 1/2 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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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)))))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
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(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x))
(*.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 600041/2386628 binary64))
(*.f64 (/.f64 #s(literal 600041/2386628 binary64) x) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2386628/600041 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (*.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 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 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 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 #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 1/2 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 #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 #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 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 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)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 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)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 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)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 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)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 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)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 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)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 x (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) x)
(.f64 x (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) x)
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) x)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
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(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 600041/2386628 binary64) #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 600041/2386628 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 (cbrt.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(.f64 (cbrt.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 600041/2386628 binary64))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 600041/2386628 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (*.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 600041/2386628 binary64)) x) #s(literal 2 binary64))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2386628/600041 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(cbrt.f64 (*.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -2 binary64)))

eval28.0ms (0.3%)

Compiler: Compiled 2834 to 622 computations (78.1% saved)

prune50.0ms (0.5%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	230	8	238

Accuracy

100.0%

Counts

238 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.4%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
✓	58.2%	(/.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))))))))))
✓	25.5%	(/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x x))
✓	46.7%	(/.f64 #s(literal 1/2 binary64) x)
✓	55.0%	(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 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 #s(literal 1789971/5000000000 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)
✓	25.5%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	56.0%	x

Compiler

Compiled 957 to 214 computations (77.6% saved)

regimes12.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) 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 #s(literal 1789971/5000000000 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 (/.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)

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 #s(literal 1789971/5000000000 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 1/2 binary64) x)

Calls

2 calls:

5.0ms

4.0ms

(*.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)

Results

Accuracy	Segments	Branch
100.0%	2	`x`
99.2%	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 45 computations (74.4% saved)

regimes5.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 2 binary64)))) x)

Outputs
(+.f64 x (*.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x)

Outputs
x
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x x))

Outputs
x
(/.f64 #s(literal 1/2 binary64) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`x`

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:

1.0ms

Results

Accuracy	Segments	Branch
56.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	57267269.4763611	1233228577261.126

Results

6.0ms

16×

valid

Compiler

Compiled 356 to 95 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (37.6% of total)

...c/correct-round.rkt:119:19: 2.0ms (37.6% of total)

ival-add: 1.0ms (18.8% of total)

ival-div: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch47.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	0.19496368920023543	1.3121723238991545

Results

37.0ms

96×

valid

Compiler

Compiled 298 to 137 computations (54% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

...c/correct-round.rkt:119:19: 15.0ms (44.8% of total)

ival-mult: 12.0ms (35.8% of total)

ival-add: 5.0ms (14.9% of total)

ival-div: 1.0ms (3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch48.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	0.19496368920023543	1.3121723238991545

Results

40.0ms

96×

valid

Compiler

Compiled 262 to 107 computations (59.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 17.0ms (47.4% of total)

...c/correct-round.rkt:119:19: 13.0ms (36.2% of total)

ival-add: 5.0ms (13.9% of total)

ival-div: 1.0ms (2.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch49.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	0.19496368920023543	1.3121723238991545

Results

41.0ms

96×

valid

Compiler

Compiled 226 to 83 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

...c/correct-round.rkt:119:19: 15.0ms (40% of total)

ival-mult: 12.0ms (32% of total)

ival-add: 10.0ms (26.7% of total)

ival-div: 1.0ms (2.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative`
13×	`+-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	903
1	109	903

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 100000000 binary64)) (.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 #s(literal 1789971/5000000000 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 1/2 binary64) x))
(if (<=.f64 x #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x))
(if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 3242591731706757/4503599627370496 binary64)) x (/.f64 #s(literal 1/2 binary64) x))
x

Outputs
(if (<=.f64 x #s(literal 100000000 binary64)) (.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 #s(literal 1789971/5000000000 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 1/2 binary64) x))
(if (<=.f64 x #s(literal 100000000 binary64)) (.f64 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 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 7715471019/10000000000 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 2909738639/10000000000 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 694555761/10000000000 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 70002721/5000000000 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1665589/2000000000 binary64))) (.f64 #s(literal 1789971/5000000000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))))))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 x (.f64 #s(literal -833192009/1250000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (.f64 x x))) x))
(if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 3242591731706757/4503599627370496 binary64)) x (/.f64 #s(literal 1/2 binary64) x))
x

soundness437.0ms (4.3%)

Rules

517×	`log1p-expm1-u`
517×	`expm1-log1p-u`
480×	`pow1`
451×	`log1p-expm1-u`
451×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	266	15547
1	512	15483
2	1433	15117
3	4980	14931
0	77	1142
1	1701	749
0	58	1111
1	976	641

Stop Event

1×	done
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 722 to 173 computations (76% saved)

preprocess107.0ms (1%)

Compiler: Compiled 1508 to 412 computations (72.7% saved)

analyze2.0ms (0%)

sample4.2s (40.9%)

preprocess148.0ms (1.4%)

explain489.0ms (4.8%)

eval2.0ms (0%)

prune2.0ms (0%)

simplify380.0ms (3.7%)

localize461.0ms (4.5%)

series19.0ms (0.2%)

rewrite310.0ms (3%)

simplify329.0ms (3.2%)

eval270.0ms (2.6%)

prune217.0ms (2.1%)

simplify246.0ms (2.4%)

localize280.0ms (2.7%)

series22.0ms (0.2%)

rewrite153.0ms (1.5%)

simplify176.0ms (1.7%)

eval59.0ms (0.6%)

prune51.0ms (0.5%)

simplify432.0ms (4.2%)

localize66.0ms (0.6%)

series7.0ms (0.1%)

rewrite216.0ms (2.1%)

simplify110.0ms (1.1%)

eval44.0ms (0.4%)

prune38.0ms (0.4%)

simplify418.0ms (4.1%)

localize46.0ms (0.4%)

series4.0ms (0%)

rewrite124.0ms (1.2%)

simplify136.0ms (1.3%)

eval28.0ms (0.3%)

prune50.0ms (0.5%)

regimes12.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes1.0ms (0%)

bsearch8.0ms (0.1%)

bsearch47.0ms (0.5%)

bsearch48.0ms (0.5%)

bsearch49.0ms (0.5%)

simplify10.0ms (0.1%)

soundness437.0ms (4.3%)

preprocess107.0ms (1%)

end0.0ms (0%)

Profiling