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

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample728.0ms (39.8%)

Results

717.0ms

8256×

body

256

valid

Bogosity

preprocess62.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

18×	`fma-def`
17×	`+-commutative`
11×	`div-sub`
10×	`sub-neg`
6×	`*-commutative`

Problems

256×

No Errors

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	17	39
2	25	39
3	40	39
4	55	39
5	81	39
6	123	39
7	151	35
8	163	35
9	166	35

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x 16) 116)
(/.f64 (+.f64 x 16) 116)
(/.f64 (+.f64 (neg.f64 x) 16) 116)

Outputs
(/.f64 (+.f64 x 16) 116)
(-.f64 (/.f64 x 116) -4/29)
(+.f64 (/.f64 x 116) 4/29)
(+.f64 4/29 (/.f64 x 116))
(/.f64 (+.f64 x 16) 116)
(-.f64 (/.f64 x 116) -4/29)
(+.f64 (/.f64 x 116) 4/29)
(+.f64 4/29 (/.f64 x 116))
(/.f64 (+.f64 (neg.f64 x) 16) 116)
(/.f64 (+.f64 16 (neg.f64 x)) 116)
(/.f64 (-.f64 16 x) 116)
(-.f64 4/29 (/.f64 x 116))
(*.f64 -1/116 (+.f64 x -16))
(*.f64 (+.f64 x -16) -1/116)
(fma.f64 x -1/116 4/29)

Compiler

Compiled 19 to 15 computations (21.1% saved)

eval1.0ms (0.1%)

Compiler: Compiled 37 to 29 computations (21.6% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x 16) 116)
▶	100.0%	(-.f64 (/.f64 x 116) -4/29)
▶	100.0%	(/.f64 (+.f64 x 16) 116)
▶	100.0%	(-.f64 (/.f64 x 116) -4/29)

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize82.0ms (4.5%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	100.0%	(/.f64 (+.f64 x 16) 116)
	100.0%	(-.f64 (/.f64 x 116) -4/29)
✓	100.0%	(/.f64 (+.f64 x 16) 116)
✓	100.0%	(-.f64 (/.f64 x 116) -4/29)

Compiler

Compiled 24 to 18 computations (25% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (/.f64 x 116) -4/29)
0.0ms	x	@	0	(/.f64 (+.f64 x 16) 116)
0.0ms	x	@	0	(-.f64 (/.f64 x 116) -4/29)
0.0ms	x	@	-inf	(/.f64 (+.f64 x 16) 116)
0.0ms	x	@	inf	(/.f64 (+.f64 x 16) 116)

rewrite162.0ms (8.9%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

516×	`frac-times`
486×	`div-sub`
398×	`cancel-sign-sub-inv`
259×	`swap-sqr`
245×	`cancel-sign-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	59	18
2	391	18
3	4712	18

Stop Event

1×	node limit

Counts

2 → 264

Calls

Call 1

Inputs
(-.f64 (/.f64 x 116) -4/29)
(/.f64 (+.f64 x 16) 116)

Outputs
(+.f64 (*.f64 x 1/116) 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (*.f64 1/13456 x))) (neg.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29))))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (.f64 1/13456 x))) (.f64 -16/841 (/.f64 1 (fma.f64 x 1/116 -4/29))))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (.f64 1/13456 x))) (.f64 (neg.f64 (/.f64 16/841 (fma.f64 x (*.f64 1/13456 x) -16/841))) (fma.f64 x 1/116 4/29)))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (.f64 1/13456 x))) (.f64 (neg.f64 (/.f64 16/841 (fma.f64 (pow.f64 x 3) 1/1560896 -64/24389))) (+.f64 (fma.f64 x (.f64 1/13456 x) 16/841) (.f64 x 1/841))))
(+.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (neg.f64 (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))))
(+.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (.f64 64/24389 (/.f64 1 (fma.f64 x (*.f64 1/13456 x) (fma.f64 x -1/841 16/841)))))
(+.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (.f64 (neg.f64 (/.f64 -64/24389 (-.f64 (pow.f64 (/.f64 116 x) -4) (pow.f64 (fma.f64 x -1/841 16/841) 2)))) (+.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (.f64 x 1/841))))
(+.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (.f64 (neg.f64 (/.f64 -64/24389 (+.f64 (pow.f64 (/.f64 116 x) -6) (pow.f64 (fma.f64 x -1/841 16/841) 3)))) (+.f64 (pow.f64 (/.f64 116 x) -4) (.f64 (fma.f64 x -1/841 16/841) (+.f64 (fma.f64 x -1/841 16/841) (.f64 -1/13456 (*.f64 x x)))))))
(+.f64 0 (fma.f64 x 1/116 4/29))
(+.f64 0 (*.f64 (/.f64 (fma.f64 x x -256) (+.f64 (neg.f64 x) 16)) -1/116))
(+.f64 0 (.f64 (/.f64 (+.f64 (pow.f64 x 3) 4096) (neg.f64 (+.f64 256 (.f64 x (-.f64 x 16))))) -1/116))
(*.f64 (fma.f64 x 1/116 4/29) 1)
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (-.f64 -16 x) -1/116)
(.f64 (fma.f64 x x -256) (/.f64 1 (+.f64 (.f64 116 x) -1856)))
(.f64 (fma.f64 x x -256) (.f64 (/.f64 1 (-.f64 x 16)) 1/116))
(.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))
(*.f64 1 (fma.f64 x 1/116 4/29))
(*.f64 1/116 (+.f64 x 16))
(.f64 (+.f64 (pow.f64 x 3) 4096) (/.f64 1 (.f64 116 (+.f64 256 (*.f64 x (-.f64 x 16))))))
(.f64 (+.f64 (pow.f64 x 3) 4096) (.f64 (/.f64 1 (+.f64 256 (*.f64 x (-.f64 x 16)))) 1/116))
(.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))))
(.f64 -1 (+.f64 -4/29 (.f64 x -1/116)))
(.f64 (neg.f64 (fma.f64 x (.f64 1/13456 x) -16/841)) (/.f64 1 (neg.f64 (fma.f64 x 1/116 -4/29))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) (/.f64 1 (neg.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))))
(*.f64 -1/116 (-.f64 -16 x))
(.f64 (/.f64 1 (fma.f64 x 1/116 -4/29)) (fma.f64 x (.f64 1/13456 x) -16/841))
(.f64 (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))
(.f64 (.f64 (fma.f64 x x -256) 1/116) (/.f64 1 (-.f64 x 16)))
(.f64 (.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (/.f64 1 (+.f64 256 (*.f64 x (-.f64 x 16)))))
(*.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) -1/2) (pow.f64 (/.f64 116 (+.f64 x 16)) -1/2))
(.f64 (.f64 1 (-.f64 -16 x)) -1/116)
(.f64 (/.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (fma.f64 x (*.f64 1/13456 x) -16/841)) (fma.f64 x 1/116 4/29))
(.f64 (/.f64 (.f64 (fma.f64 x x -256) 1/116) (fma.f64 x x -256)) (+.f64 x 16))
(.f64 (/.f64 (.f64 (fma.f64 x x -256) 1/116) (+.f64 (pow.f64 x 3) -4096)) (+.f64 (fma.f64 x x 256) (*.f64 x 16)))
(.f64 (/.f64 (.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 256 (.f64 x -16)) 2))) (+.f64 (fma.f64 x x -256) (.f64 x 16)))
(.f64 (/.f64 (.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 256 (.f64 x -16)) 3))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 256 (.f64 x -16)) (-.f64 (+.f64 256 (.f64 x -16)) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (fma.f64 (pow.f64 x 3) 1/1560896 -64/24389)) (+.f64 (fma.f64 x (.f64 1/13456 x) 16/841) (.f64 x 1/841)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (-.f64 (pow.f64 (/.f64 116 x) -4) (pow.f64 (fma.f64 x -1/841 16/841) 2))) (+.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (*.f64 x 1/841)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 (pow.f64 (/.f64 116 x) -6) (pow.f64 (fma.f64 x -1/841 16/841) 3))) (+.f64 (pow.f64 (/.f64 116 x) -4) (.f64 (fma.f64 x -1/841 16/841) (+.f64 (fma.f64 x -1/841 16/841) (.f64 -1/13456 (.f64 x x))))))
(*.f64 (pow.f64 (/.f64 116 (fma.f64 x x -256)) -1) (/.f64 1 (-.f64 x 16)))
(.f64 (pow.f64 (/.f64 116 (+.f64 (pow.f64 x 3) 4096)) -1) (/.f64 1 (+.f64 256 (.f64 x (-.f64 x 16)))))
(/.f64 (+.f64 x 16) 116)
(/.f64 (-.f64 -16 x) -116)
(/.f64 (fma.f64 x x -256) (+.f64 (*.f64 116 x) -1856))
(/.f64 (fma.f64 x x -256) (/.f64 116 (/.f64 1 (-.f64 x 16))))
(/.f64 (fma.f64 x x -256) (-.f64 (/.f64 x 1/116) 1856))
(/.f64 (fma.f64 x (*.f64 1/13456 x) -16/841) (fma.f64 x 1/116 -4/29))
(/.f64 1 (/.f64 116 (+.f64 x 16)))
(/.f64 1 (neg.f64 (/.f64 116 (-.f64 -16 x))))
(/.f64 1 (/.f64 (-.f64 x 16) (*.f64 (fma.f64 x x -256) 1/116)))
(/.f64 1 (/.f64 (+.f64 256 (.f64 x (-.f64 x 16))) (.f64 1/116 (+.f64 (pow.f64 x 3) 4096))))
(/.f64 1/116 (/.f64 1 (+.f64 x 16)))
(/.f64 (+.f64 (pow.f64 x 3) 4096) (.f64 116 (+.f64 256 (.f64 x (-.f64 x 16)))))
(/.f64 (+.f64 (pow.f64 x 3) 4096) (/.f64 116 (/.f64 1 (+.f64 256 (*.f64 x (-.f64 x 16))))))
(/.f64 (+.f64 (pow.f64 x 3) 4096) (/.f64 (+.f64 256 (*.f64 x (-.f64 x 16))) 1/116))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 1/13456 x) (fma.f64 x -1/841 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 16/841 (/.f64 (fma.f64 x 1/116 -4/29) (/.f64 116 x))))
(/.f64 (neg.f64 (fma.f64 x x -256)) (neg.f64 (+.f64 (*.f64 116 x) -1856)))
(/.f64 (neg.f64 (fma.f64 x x -256)) (*.f64 -116 (-.f64 x 16)))
(/.f64 (neg.f64 (fma.f64 x x -256)) (*.f64 116 (+.f64 (neg.f64 x) 16)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) -4096) (neg.f64 (.f64 116 (+.f64 256 (.f64 x (-.f64 x 16))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) -4096) (.f64 -116 (+.f64 256 (.f64 x (-.f64 x 16)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) -4096) (.f64 116 (neg.f64 (+.f64 256 (.f64 x (-.f64 x 16))))))
(/.f64 -1 (/.f64 116 (-.f64 -16 x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 1/13456 x) -16/841)) (neg.f64 (fma.f64 x 1/116 -4/29)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) (neg.f64 (fma.f64 x (*.f64 1/13456 x) (fma.f64 x -1/841 16/841))))
(/.f64 (-.f64 256 (.f64 x x)) (.f64 116 (-.f64 16 x)))
(/.f64 (+.f64 (pow.f64 (/.f64 116 x) -4) -256/707281) (.f64 (fma.f64 x 1/116 -4/29) (fma.f64 x (.f64 1/13456 x) 16/841)))
(/.f64 (+.f64 (pow.f64 x 4) -65536) (.f64 (+.f64 (.f64 116 x) -1856) (fma.f64 x x 256)))
(/.f64 (+.f64 (pow.f64 (/.f64 116 x) -6) -4096/594823321) (.f64 (fma.f64 x 1/116 -4/29) (+.f64 (+.f64 (pow.f64 (/.f64 116 x) -4) 256/707281) (.f64 (*.f64 x x) 1/707281))))
(/.f64 (+.f64 (pow.f64 (/.f64 116 x) -6) -4096/594823321) (.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 -64/24389)))
(/.f64 (*.f64 (fma.f64 x x -256) 1/116) (-.f64 x 16))
(/.f64 (.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (+.f64 256 (.f64 x (-.f64 x 16))))
(/.f64 (+.f64 (pow.f64 x 9) 68719476736) (.f64 (.f64 116 (+.f64 256 (.f64 x (-.f64 x 16)))) (+.f64 (pow.f64 x 6) (+.f64 16777216 (.f64 -4096 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 6) -16777216) (.f64 (+.f64 (.f64 116 x) -1856) (+.f64 (pow.f64 x 4) (+.f64 65536 (.f64 x (.f64 x 256))))))
(/.f64 (+.f64 (pow.f64 x 6) -16777216) (.f64 (.f64 116 (+.f64 256 (*.f64 x (-.f64 x 16)))) (+.f64 (pow.f64 x 3) -4096)))
(/.f64 (+.f64 (.f64 (pow.f64 x 9) 1/3802961274698203136) 262144/14507145975869) (.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) (+.f64 (+.f64 4096/594823321 (.f64 (pow.f64 x 3) -1/594823321)) (pow.f64 (/.f64 116 x) -6))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 1/13456 x)) (fma.f64 x 1/116 -4/29)) (.f64 (fma.f64 x 1/116 -4/29) 16/841)) (*.f64 (fma.f64 x 1/116 -4/29) (fma.f64 x 1/116 -4/29)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) 1/1560896) (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) -64/24389)) (.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 116 x) -4) -256/707281) 1) (.f64 (fma.f64 x (*.f64 1/13456 x) 16/841) (fma.f64 x 1/116 -4/29)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 116 x) -6) -4096/594823321) 1) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 116 x) -4) 256/707281) (.f64 (.f64 x x) 1/707281)) (fma.f64 x 1/116 -4/29)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 116 x) -6) -4096/594823321) 1) (.f64 (fma.f64 (pow.f64 x 3) 1/1560896 -64/24389) (fma.f64 x (*.f64 1/13456 x) (fma.f64 x -1/841 16/841))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 9) 1/3802961274698203136) 262144/14507145975869) 1) (.f64 (+.f64 (+.f64 4096/594823321 (.f64 (pow.f64 x 3) -1/594823321)) (pow.f64 (/.f64 116 x) -6)) (fma.f64 x (*.f64 1/13456 x) (fma.f64 x -1/841 16/841))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x -256) 1/116)) (+.f64 (neg.f64 x) 16))
(/.f64 (neg.f64 (.f64 1/116 (+.f64 (pow.f64 x 3) 4096))) (neg.f64 (+.f64 256 (.f64 x (-.f64 x 16)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 1/13456 x) -16/841))) (neg.f64 (neg.f64 (fma.f64 x 1/116 -4/29))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 1/13456 x) (fma.f64 x -1/841 16/841)))))
(/.f64 (+.f64 16/841 (.f64 (.f64 x x) -1/13456)) (+.f64 4/29 (*.f64 x -1/116)))
(/.f64 (.f64 (+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (.f64 1/13456 x))) (/.f64 16/841 (fma.f64 x 1/116 -4/29))) (fma.f64 x 1/116 4/29)) (+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (*.f64 1/13456 x))) (/.f64 16/841 (fma.f64 x 1/116 -4/29))))
(/.f64 (.f64 (+.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))) (fma.f64 x 1/116 4/29)) (+.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (/.f64 -64/24389 (fma.f64 x (*.f64 1/13456 x) (fma.f64 x -1/841 16/841)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 4096) 116) (+.f64 256 (*.f64 x (-.f64 x 16))))
(/.f64 (/.f64 (fma.f64 x x -256) 116) (-.f64 x 16))
(/.f64 (*.f64 1 (-.f64 -16 x)) -116)
(/.f64 (.f64 1 (fma.f64 x x -256)) (+.f64 (.f64 116 x) -1856))
(/.f64 (.f64 1 (+.f64 (pow.f64 x 3) 4096)) (.f64 116 (+.f64 256 (*.f64 x (-.f64 x 16)))))
(/.f64 (.f64 1 (.f64 (fma.f64 x x -256) 1/116)) (-.f64 x 16))
(/.f64 (.f64 1 (.f64 1/116 (+.f64 (pow.f64 x 3) 4096))) (+.f64 256 (*.f64 x (-.f64 x 16))))
(/.f64 (*.f64 1/116 (neg.f64 (fma.f64 x x -256))) (+.f64 (neg.f64 x) 16))
(/.f64 (.f64 1/116 (+.f64 (pow.f64 (neg.f64 x) 3) -4096)) (neg.f64 (+.f64 256 (.f64 x (-.f64 x 16)))))
(/.f64 (.f64 1/116 (-.f64 256 (.f64 x x))) (-.f64 16 x))
(/.f64 (.f64 (fma.f64 x (.f64 1/13456 x) -16/841) 1) (fma.f64 x 1/116 -4/29))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) 1) (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -256)) 1/116) (+.f64 (neg.f64 x) 16))
(/.f64 (.f64 (+.f64 (pow.f64 (neg.f64 x) 3) -4096) 1/116) (neg.f64 (+.f64 256 (.f64 x (-.f64 x 16)))))
(/.f64 (.f64 (-.f64 256 (.f64 x x)) 1/116) (-.f64 16 x))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -256)) -1/116) (-.f64 x 16))
(/.f64 (.f64 (+.f64 (pow.f64 (neg.f64 x) 3) -4096) -1/116) (+.f64 256 (.f64 x (-.f64 x 16))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 116 x) -4) -256/707281) (/.f64 1 (fma.f64 x 1/116 -4/29))) (fma.f64 x (.f64 1/13456 x) 16/841))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 116 x) -6) -4096/594823321) (/.f64 1 (fma.f64 x 1/116 -4/29))) (+.f64 (+.f64 (pow.f64 (/.f64 116 x) -4) 256/707281) (.f64 (*.f64 x x) 1/707281)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 116 x) -6) -4096/594823321) (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))) (fma.f64 (pow.f64 x 3) 1/1560896 -64/24389))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) 3) (+.f64 (.f64 (pow.f64 (/.f64 116 x) -6) (.f64 (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))))) (+.f64 (.f64 (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))) (.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))))))) (/.f64 (pow.f64 (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) 3) (+.f64 (.f64 (pow.f64 (/.f64 116 x) -6) (.f64 (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))))) (+.f64 (.f64 (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))) (.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))))))))
(*.f64 (fma.f64 x 1/116 4/29) 1)
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (-.f64 -16 x) -1/116)
(.f64 (fma.f64 x x -256) (/.f64 1 (+.f64 (.f64 116 x) -1856)))
(.f64 (fma.f64 x x -256) (.f64 (/.f64 1 (-.f64 x 16)) 1/116))
(.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))
(*.f64 1 (fma.f64 x 1/116 4/29))
(*.f64 1/116 (+.f64 x 16))
(.f64 (+.f64 (pow.f64 x 3) 4096) (/.f64 1 (.f64 116 (+.f64 256 (*.f64 x (-.f64 x 16))))))
(.f64 (+.f64 (pow.f64 x 3) 4096) (.f64 (/.f64 1 (+.f64 256 (*.f64 x (-.f64 x 16)))) 1/116))
(.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))))
(.f64 -1 (+.f64 -4/29 (.f64 x -1/116)))
(.f64 (neg.f64 (fma.f64 x (.f64 1/13456 x) -16/841)) (/.f64 1 (neg.f64 (fma.f64 x 1/116 -4/29))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) (/.f64 1 (neg.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))))
(*.f64 -1/116 (-.f64 -16 x))
(.f64 (/.f64 1 (fma.f64 x 1/116 -4/29)) (fma.f64 x (.f64 1/13456 x) -16/841))
(.f64 (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))
(.f64 (.f64 (fma.f64 x x -256) 1/116) (/.f64 1 (-.f64 x 16)))
(.f64 (.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (/.f64 1 (+.f64 256 (*.f64 x (-.f64 x 16)))))
(*.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) -1/2) (pow.f64 (/.f64 116 (+.f64 x 16)) -1/2))
(.f64 (.f64 1 (-.f64 -16 x)) -1/116)
(.f64 (/.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (fma.f64 x (*.f64 1/13456 x) -16/841)) (fma.f64 x 1/116 4/29))
(.f64 (/.f64 (.f64 (fma.f64 x x -256) 1/116) (fma.f64 x x -256)) (+.f64 x 16))
(.f64 (/.f64 (.f64 (fma.f64 x x -256) 1/116) (+.f64 (pow.f64 x 3) -4096)) (+.f64 (fma.f64 x x 256) (*.f64 x 16)))
(.f64 (/.f64 (.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 256 (.f64 x -16)) 2))) (+.f64 (fma.f64 x x -256) (.f64 x 16)))
(.f64 (/.f64 (.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 256 (.f64 x -16)) 3))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 256 (.f64 x -16)) (-.f64 (+.f64 256 (.f64 x -16)) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (fma.f64 (pow.f64 x 3) 1/1560896 -64/24389)) (+.f64 (fma.f64 x (.f64 1/13456 x) 16/841) (.f64 x 1/841)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (-.f64 (pow.f64 (/.f64 116 x) -4) (pow.f64 (fma.f64 x -1/841 16/841) 2))) (+.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (*.f64 x 1/841)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 (pow.f64 (/.f64 116 x) -6) (pow.f64 (fma.f64 x -1/841 16/841) 3))) (+.f64 (pow.f64 (/.f64 116 x) -4) (.f64 (fma.f64 x -1/841 16/841) (+.f64 (fma.f64 x -1/841 16/841) (.f64 -1/13456 (.f64 x x))))))
(*.f64 (pow.f64 (/.f64 116 (fma.f64 x x -256)) -1) (/.f64 1 (-.f64 x 16)))
(.f64 (pow.f64 (/.f64 116 (+.f64 (pow.f64 x 3) 4096)) -1) (/.f64 1 (+.f64 256 (.f64 x (-.f64 x 16)))))
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(neg.f64 (+.f64 -4/29 (*.f64 x -1/116)))
(neg.f64 (.f64 1 (+.f64 -4/29 (.f64 x -1/116))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 1/13456 x) -16/841) (neg.f64 (fma.f64 x 1/116 -4/29))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (neg.f64 (fma.f64 x (*.f64 1/13456 x) (fma.f64 x -1/841 16/841)))))
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) -1))
(fma.f64 x 1/116 4/29)
(fma.f64 1 (*.f64 x 1/116) 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (neg.f64 x) -1/116 4/29)

Calls

6 calls:

1.0ms	(-.f64 (/.f64 x 116) -4/29)
0.0ms	(-.f64 (/.f64 x 116) -4/29)
0.0ms	(/.f64 (+.f64 x 16) 116)
0.0ms	(-.f64 (/.f64 x 116) -4/29)
0.0ms	(/.f64 (+.f64 x 16) 116)

simplify261.0ms (14.3%)

Algorithm

1×	egg-herbie

Rules

434×	`div-sub`
328×	`associate-/l*`
277×	`cancel-sign-sub-inv`
267×	`*-commutative`
261×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	637	13564
1	1673	11394
2	6404	11394

Stop Event

1×	node limit

Counts

288 → 309

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 (*.f64 x 1/116) 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (*.f64 1/13456 x))) (neg.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29))))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (.f64 1/13456 x))) (.f64 -16/841 (/.f64 1 (fma.f64 x 1/116 -4/29))))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (.f64 1/13456 x))) (.f64 (neg.f64 (/.f64 16/841 (fma.f64 x (*.f64 1/13456 x) -16/841))) (fma.f64 x 1/116 4/29)))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (.f64 1/13456 x))) (.f64 (neg.f64 (/.f64 16/841 (fma.f64 (pow.f64 x 3) 1/1560896 -64/24389))) (+.f64 (fma.f64 x (.f64 1/13456 x) 16/841) (.f64 x 1/841))))
(+.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (neg.f64 (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))))
(+.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (.f64 64/24389 (/.f64 1 (fma.f64 x (*.f64 1/13456 x) (fma.f64 x -1/841 16/841)))))
(+.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (.f64 (neg.f64 (/.f64 -64/24389 (-.f64 (pow.f64 (/.f64 116 x) -4) (pow.f64 (fma.f64 x -1/841 16/841) 2)))) (+.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (.f64 x 1/841))))
(+.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (.f64 (neg.f64 (/.f64 -64/24389 (+.f64 (pow.f64 (/.f64 116 x) -6) (pow.f64 (fma.f64 x -1/841 16/841) 3)))) (+.f64 (pow.f64 (/.f64 116 x) -4) (.f64 (fma.f64 x -1/841 16/841) (+.f64 (fma.f64 x -1/841 16/841) (.f64 -1/13456 (*.f64 x x)))))))
(+.f64 0 (fma.f64 x 1/116 4/29))
(+.f64 0 (*.f64 (/.f64 (fma.f64 x x -256) (+.f64 (neg.f64 x) 16)) -1/116))
(+.f64 0 (.f64 (/.f64 (+.f64 (pow.f64 x 3) 4096) (neg.f64 (+.f64 256 (.f64 x (-.f64 x 16))))) -1/116))
(*.f64 (fma.f64 x 1/116 4/29) 1)
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (-.f64 -16 x) -1/116)
(.f64 (fma.f64 x x -256) (/.f64 1 (+.f64 (.f64 116 x) -1856)))
(.f64 (fma.f64 x x -256) (.f64 (/.f64 1 (-.f64 x 16)) 1/116))
(.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))
(*.f64 1 (fma.f64 x 1/116 4/29))
(*.f64 1/116 (+.f64 x 16))
(.f64 (+.f64 (pow.f64 x 3) 4096) (/.f64 1 (.f64 116 (+.f64 256 (*.f64 x (-.f64 x 16))))))
(.f64 (+.f64 (pow.f64 x 3) 4096) (.f64 (/.f64 1 (+.f64 256 (*.f64 x (-.f64 x 16)))) 1/116))
(.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))))
(.f64 -1 (+.f64 -4/29 (.f64 x -1/116)))
(.f64 (neg.f64 (fma.f64 x (.f64 1/13456 x) -16/841)) (/.f64 1 (neg.f64 (fma.f64 x 1/116 -4/29))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) (/.f64 1 (neg.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))))
(*.f64 -1/116 (-.f64 -16 x))
(.f64 (/.f64 1 (fma.f64 x 1/116 -4/29)) (fma.f64 x (.f64 1/13456 x) -16/841))
(.f64 (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))
(.f64 (.f64 (fma.f64 x x -256) 1/116) (/.f64 1 (-.f64 x 16)))
(.f64 (.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (/.f64 1 (+.f64 256 (*.f64 x (-.f64 x 16)))))
(*.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) -1/2) (pow.f64 (/.f64 116 (+.f64 x 16)) -1/2))
(.f64 (.f64 1 (-.f64 -16 x)) -1/116)
(.f64 (/.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (fma.f64 x (*.f64 1/13456 x) -16/841)) (fma.f64 x 1/116 4/29))
(.f64 (/.f64 (.f64 (fma.f64 x x -256) 1/116) (fma.f64 x x -256)) (+.f64 x 16))
(.f64 (/.f64 (.f64 (fma.f64 x x -256) 1/116) (+.f64 (pow.f64 x 3) -4096)) (+.f64 (fma.f64 x x 256) (*.f64 x 16)))
(.f64 (/.f64 (.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 256 (.f64 x -16)) 2))) (+.f64 (fma.f64 x x -256) (.f64 x 16)))
(.f64 (/.f64 (.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 256 (.f64 x -16)) 3))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 256 (.f64 x -16)) (-.f64 (+.f64 256 (.f64 x -16)) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (fma.f64 (pow.f64 x 3) 1/1560896 -64/24389)) (+.f64 (fma.f64 x (.f64 1/13456 x) 16/841) (.f64 x 1/841)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (-.f64 (pow.f64 (/.f64 116 x) -4) (pow.f64 (fma.f64 x -1/841 16/841) 2))) (+.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (*.f64 x 1/841)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 (pow.f64 (/.f64 116 x) -6) (pow.f64 (fma.f64 x -1/841 16/841) 3))) (+.f64 (pow.f64 (/.f64 116 x) -4) (.f64 (fma.f64 x -1/841 16/841) (+.f64 (fma.f64 x -1/841 16/841) (.f64 -1/13456 (.f64 x x))))))
(*.f64 (pow.f64 (/.f64 116 (fma.f64 x x -256)) -1) (/.f64 1 (-.f64 x 16)))
(.f64 (pow.f64 (/.f64 116 (+.f64 (pow.f64 x 3) 4096)) -1) (/.f64 1 (+.f64 256 (.f64 x (-.f64 x 16)))))
(/.f64 (+.f64 x 16) 116)
(/.f64 (-.f64 -16 x) -116)
(/.f64 (fma.f64 x x -256) (+.f64 (*.f64 116 x) -1856))
(/.f64 (fma.f64 x x -256) (/.f64 116 (/.f64 1 (-.f64 x 16))))
(/.f64 (fma.f64 x x -256) (-.f64 (/.f64 x 1/116) 1856))
(/.f64 (fma.f64 x (*.f64 1/13456 x) -16/841) (fma.f64 x 1/116 -4/29))
(/.f64 1 (/.f64 116 (+.f64 x 16)))
(/.f64 1 (neg.f64 (/.f64 116 (-.f64 -16 x))))
(/.f64 1 (/.f64 (-.f64 x 16) (*.f64 (fma.f64 x x -256) 1/116)))
(/.f64 1 (/.f64 (+.f64 256 (.f64 x (-.f64 x 16))) (.f64 1/116 (+.f64 (pow.f64 x 3) 4096))))
(/.f64 1/116 (/.f64 1 (+.f64 x 16)))
(/.f64 (+.f64 (pow.f64 x 3) 4096) (.f64 116 (+.f64 256 (.f64 x (-.f64 x 16)))))
(/.f64 (+.f64 (pow.f64 x 3) 4096) (/.f64 116 (/.f64 1 (+.f64 256 (*.f64 x (-.f64 x 16))))))
(/.f64 (+.f64 (pow.f64 x 3) 4096) (/.f64 (+.f64 256 (*.f64 x (-.f64 x 16))) 1/116))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 1/13456 x) (fma.f64 x -1/841 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 16/841 (/.f64 (fma.f64 x 1/116 -4/29) (/.f64 116 x))))
(/.f64 (neg.f64 (fma.f64 x x -256)) (neg.f64 (+.f64 (*.f64 116 x) -1856)))
(/.f64 (neg.f64 (fma.f64 x x -256)) (*.f64 -116 (-.f64 x 16)))
(/.f64 (neg.f64 (fma.f64 x x -256)) (*.f64 116 (+.f64 (neg.f64 x) 16)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) -4096) (neg.f64 (.f64 116 (+.f64 256 (.f64 x (-.f64 x 16))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) -4096) (.f64 -116 (+.f64 256 (.f64 x (-.f64 x 16)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) -4096) (.f64 116 (neg.f64 (+.f64 256 (.f64 x (-.f64 x 16))))))
(/.f64 -1 (/.f64 116 (-.f64 -16 x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 1/13456 x) -16/841)) (neg.f64 (fma.f64 x 1/116 -4/29)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) (neg.f64 (fma.f64 x (*.f64 1/13456 x) (fma.f64 x -1/841 16/841))))
(/.f64 (-.f64 256 (.f64 x x)) (.f64 116 (-.f64 16 x)))
(/.f64 (+.f64 (pow.f64 (/.f64 116 x) -4) -256/707281) (.f64 (fma.f64 x 1/116 -4/29) (fma.f64 x (.f64 1/13456 x) 16/841)))
(/.f64 (+.f64 (pow.f64 x 4) -65536) (.f64 (+.f64 (.f64 116 x) -1856) (fma.f64 x x 256)))
(/.f64 (+.f64 (pow.f64 (/.f64 116 x) -6) -4096/594823321) (.f64 (fma.f64 x 1/116 -4/29) (+.f64 (+.f64 (pow.f64 (/.f64 116 x) -4) 256/707281) (.f64 (*.f64 x x) 1/707281))))
(/.f64 (+.f64 (pow.f64 (/.f64 116 x) -6) -4096/594823321) (.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 -64/24389)))
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(-.f64 (/.f64 0 (.f64 -116 (-.f64 x 16))) (+.f64 -4/29 (.f64 x -1/116)))
(-.f64 (/.f64 0 (.f64 116 (+.f64 (neg.f64 x) 16))) (/.f64 (fma.f64 x x -256) (.f64 116 (+.f64 (neg.f64 x) 16))))
(-.f64 (/.f64 0 (neg.f64 (.f64 116 (+.f64 256 (.f64 x (-.f64 x 16)))))) (/.f64 (+.f64 (pow.f64 x 3) 4096) (neg.f64 (.f64 116 (+.f64 256 (.f64 x (-.f64 x 16)))))))
(-.f64 (/.f64 0 (.f64 -116 (+.f64 256 (.f64 x (-.f64 x 16))))) (+.f64 -4/29 (*.f64 x -1/116)))
(-.f64 (/.f64 0 (.f64 116 (neg.f64 (+.f64 256 (.f64 x (-.f64 x 16)))))) (/.f64 (+.f64 (pow.f64 x 3) 4096) (.f64 116 (neg.f64 (+.f64 256 (.f64 x (-.f64 x 16)))))))
(-.f64 (/.f64 0 (neg.f64 (fma.f64 x 1/116 -4/29))) (/.f64 (fma.f64 x (*.f64 1/13456 x) -16/841) (neg.f64 (fma.f64 x 1/116 -4/29))))
(-.f64 (/.f64 0 (neg.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))) (/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (neg.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))))
(-.f64 (/.f64 256 (.f64 116 (-.f64 16 x))) (/.f64 (.f64 x x) (*.f64 116 (-.f64 16 x))))
(-.f64 (/.f64 (pow.f64 (/.f64 116 x) -4) (.f64 (fma.f64 x 1/116 -4/29) (fma.f64 x (.f64 1/13456 x) 16/841))) (/.f64 256/707281 (.f64 (fma.f64 x 1/116 -4/29) (fma.f64 x (.f64 1/13456 x) 16/841))))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 (+.f64 (.f64 116 x) -1856) (fma.f64 x x 256))) (/.f64 65536 (.f64 (+.f64 (.f64 116 x) -1856) (fma.f64 x x 256))))
(-.f64 (/.f64 (pow.f64 (/.f64 116 x) -6) (.f64 (fma.f64 x 1/116 -4/29) (+.f64 (+.f64 (pow.f64 (/.f64 116 x) -4) 256/707281) (.f64 (.f64 x x) 1/707281)))) (/.f64 4096/594823321 (.f64 (fma.f64 x 1/116 -4/29) (+.f64 (+.f64 (pow.f64 (/.f64 116 x) -4) 256/707281) (.f64 (.f64 x x) 1/707281)))))
(-.f64 (/.f64 (pow.f64 (/.f64 116 x) -6) (.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 -64/24389))) (/.f64 4096/594823321 (.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 -64/24389))))
(-.f64 (/.f64 (pow.f64 x 6) (.f64 (+.f64 (.f64 116 x) -1856) (+.f64 (pow.f64 x 4) (+.f64 65536 (.f64 x (.f64 x 256)))))) (/.f64 16777216 (.f64 (+.f64 (.f64 116 x) -1856) (+.f64 (pow.f64 x 4) (+.f64 65536 (.f64 x (.f64 x 256)))))))
(-.f64 (/.f64 (pow.f64 x 6) (.f64 (.f64 116 (+.f64 256 (.f64 x (-.f64 x 16)))) (+.f64 (pow.f64 x 3) -4096))) (/.f64 16777216 (.f64 (.f64 116 (+.f64 256 (.f64 x (-.f64 x 16)))) (+.f64 (pow.f64 x 3) -4096))))
(-.f64 (/.f64 (.f64 (pow.f64 x 9) 1/3802961274698203136) (.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) (+.f64 (+.f64 4096/594823321 (.f64 (pow.f64 x 3) -1/594823321)) (pow.f64 (/.f64 116 x) -6)))) (/.f64 -262144/14507145975869 (.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) (+.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 x 3) -1/594823321)) (pow.f64 (/.f64 116 x) -6)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 1/13456 x)) (fma.f64 x 1/116 -4/29)) (.f64 (fma.f64 x 1/116 -4/29) (fma.f64 x 1/116 -4/29))) (/.f64 (.f64 (fma.f64 x 1/116 -4/29) 16/841) (.f64 (fma.f64 x 1/116 -4/29) (fma.f64 x 1/116 -4/29))))
(-.f64 (/.f64 (.f64 (.f64 (pow.f64 x 3) 1/1560896) (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))) (/.f64 (.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) -64/24389) (.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) (fma.f64 x (*.f64 1/13456 x) (fma.f64 x -1/841 16/841)))))
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -1/116))) (/.f64 (.f64 x (.f64 1/13456 x)) (+.f64 4/29 (.f64 x -1/116))))
(-.f64 (/.f64 (.f64 (pow.f64 (/.f64 116 x) -4) (.f64 (/.f64 1 (fma.f64 x 1/116 -4/29)) (/.f64 1 (fma.f64 x 1/116 -4/29)))) (+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (.f64 1/13456 x))) (/.f64 16/841 (fma.f64 x 1/116 -4/29)))) (/.f64 (.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29)) (/.f64 16/841 (fma.f64 x 1/116 -4/29))) (+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (*.f64 1/13456 x))) (/.f64 16/841 (fma.f64 x 1/116 -4/29)))))
(-.f64 (/.f64 (.f64 (pow.f64 (/.f64 116 x) -6) (.f64 (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))))) (+.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))))) (/.f64 (.f64 (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))) (+.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (/.f64 -64/24389 (fma.f64 x (*.f64 1/13456 x) (fma.f64 x -1/841 16/841))))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (.f64 1/13456 x))) 3) (+.f64 (.f64 (pow.f64 (/.f64 116 x) -4) (.f64 (/.f64 1 (fma.f64 x 1/116 -4/29)) (/.f64 1 (fma.f64 x 1/116 -4/29)))) (+.f64 (.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29)) (/.f64 16/841 (fma.f64 x 1/116 -4/29))) (.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (.f64 1/13456 x))) (/.f64 16/841 (fma.f64 x 1/116 -4/29)))))) (/.f64 (pow.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29)) 3) (+.f64 (.f64 (pow.f64 (/.f64 116 x) -4) (.f64 (/.f64 1 (fma.f64 x 1/116 -4/29)) (/.f64 1 (fma.f64 x 1/116 -4/29)))) (+.f64 (.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29)) (/.f64 16/841 (fma.f64 x 1/116 -4/29))) (.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (*.f64 1/13456 x))) (/.f64 16/841 (fma.f64 x 1/116 -4/29)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) 3) (+.f64 (.f64 (pow.f64 (/.f64 116 x) -6) (.f64 (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))))) (+.f64 (.f64 (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))) (.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))))))) (/.f64 (pow.f64 (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) 3) (+.f64 (.f64 (pow.f64 (/.f64 116 x) -6) (.f64 (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))))) (+.f64 (.f64 (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))) (.f64 (/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)) 1/1560896)) (/.f64 -64/24389 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))))))))
(*.f64 (fma.f64 x 1/116 4/29) 1)
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (-.f64 -16 x) -1/116)
(.f64 (fma.f64 x x -256) (/.f64 1 (+.f64 (.f64 116 x) -1856)))
(.f64 (fma.f64 x x -256) (.f64 (/.f64 1 (-.f64 x 16)) 1/116))
(.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))
(*.f64 1 (fma.f64 x 1/116 4/29))
(*.f64 1/116 (+.f64 x 16))
(.f64 (+.f64 (pow.f64 x 3) 4096) (/.f64 1 (.f64 116 (+.f64 256 (*.f64 x (-.f64 x 16))))))
(.f64 (+.f64 (pow.f64 x 3) 4096) (.f64 (/.f64 1 (+.f64 256 (*.f64 x (-.f64 x 16)))) 1/116))
(.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))))
(.f64 -1 (+.f64 -4/29 (.f64 x -1/116)))
(.f64 (neg.f64 (fma.f64 x (.f64 1/13456 x) -16/841)) (/.f64 1 (neg.f64 (fma.f64 x 1/116 -4/29))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) (/.f64 1 (neg.f64 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841)))))
(*.f64 -1/116 (-.f64 -16 x))
(.f64 (/.f64 1 (fma.f64 x 1/116 -4/29)) (fma.f64 x (.f64 1/13456 x) -16/841))
(.f64 (/.f64 1 (fma.f64 x (.f64 1/13456 x) (fma.f64 x -1/841 16/841))) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))
(.f64 (.f64 (fma.f64 x x -256) 1/116) (/.f64 1 (-.f64 x 16)))
(.f64 (.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (/.f64 1 (+.f64 256 (*.f64 x (-.f64 x 16)))))
(*.f64 (pow.f64 (/.f64 116 (+.f64 x 16)) -1/2) (pow.f64 (/.f64 116 (+.f64 x 16)) -1/2))
(.f64 (.f64 1 (-.f64 -16 x)) -1/116)
(.f64 (/.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (fma.f64 x (*.f64 1/13456 x) -16/841)) (fma.f64 x 1/116 4/29))
(.f64 (/.f64 (.f64 (fma.f64 x x -256) 1/116) (fma.f64 x x -256)) (+.f64 x 16))
(.f64 (/.f64 (.f64 (fma.f64 x x -256) 1/116) (+.f64 (pow.f64 x 3) -4096)) (+.f64 (fma.f64 x x 256) (*.f64 x 16)))
(.f64 (/.f64 (.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 256 (.f64 x -16)) 2))) (+.f64 (fma.f64 x x -256) (.f64 x 16)))
(.f64 (/.f64 (.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 256 (.f64 x -16)) 3))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 256 (.f64 x -16)) (-.f64 (+.f64 256 (.f64 x -16)) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (fma.f64 (pow.f64 x 3) 1/1560896 -64/24389)) (+.f64 (fma.f64 x (.f64 1/13456 x) 16/841) (.f64 x 1/841)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (-.f64 (pow.f64 (/.f64 116 x) -4) (pow.f64 (fma.f64 x -1/841 16/841) 2))) (+.f64 (fma.f64 x (.f64 1/13456 x) -16/841) (*.f64 x 1/841)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 (pow.f64 (/.f64 116 x) -6) (pow.f64 (fma.f64 x -1/841 16/841) 3))) (+.f64 (pow.f64 (/.f64 116 x) -4) (.f64 (fma.f64 x -1/841 16/841) (+.f64 (fma.f64 x -1/841 16/841) (.f64 -1/13456 (.f64 x x))))))
(*.f64 (pow.f64 (/.f64 116 (fma.f64 x x -256)) -1) (/.f64 1 (-.f64 x 16)))
(.f64 (pow.f64 (/.f64 116 (+.f64 (pow.f64 x 3) 4096)) -1) (/.f64 1 (+.f64 256 (.f64 x (-.f64 x 16)))))
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(neg.f64 (+.f64 -4/29 (*.f64 x -1/116)))
(neg.f64 (.f64 1 (+.f64 -4/29 (.f64 x -1/116))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 1/13456 x) -16/841) (neg.f64 (fma.f64 x 1/116 -4/29))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (neg.f64 (fma.f64 x (*.f64 1/13456 x) (fma.f64 x -1/841 16/841)))))
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) -1))
(fma.f64 x 1/116 4/29)
(fma.f64 1 (*.f64 x 1/116) 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (neg.f64 x) -1/116 4/29)
(exp.f64 (log.f64 (/.f64 (+.f64 x 16) 116)))
(log.f64 (exp.f64 (/.f64 (+.f64 x 16) 116)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 16) 116)) (sqrt.f64 (/.f64 (+.f64 x 16) 116)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 16) 116)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 16) 116)))
(*.f64 1 (/.f64 (+.f64 x 16) 116))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 x 16) 116)) (cbrt.f64 (/.f64 (+.f64 x 16) 116))) (cbrt.f64 (/.f64 (+.f64 x 16) 116)))
(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 x 16) 116) (/.f64 (+.f64 x 16) 116)) (/.f64 (+.f64 x 16) 116)))
(pow.f64 (/.f64 (+.f64 x 16) 116) 1)
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 x 16) 116)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 x 16) 116)))
(binary32->binary64 (/.f32 (+.f32 (binary64->binary32 x) 16) 116))
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 x 116) -4/29)))
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 x 116) -4/29)))
(binary32->binary64 (-.f32 (/.f32 (binary64->binary32 x) 116) -4/29))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 x 16) 116)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 x 16) 116)))
(binary32->binary64 (/.f32 (+.f32 (binary64->binary32 x) 16) 116))

Outputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 (*.f64 x 1/116) 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(fma.f64 1/116 x 4/29)
(+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (*.f64 1/13456 x))) (neg.f64 (/.f64 16/841 (fma.f64 x 1/116 -4/29))))
(+.f64 (.f64 (/.f64 x (fma.f64 x 1/116 -4/29)) (.f64 x 1/13456)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29)))
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 1/116 x -4/29))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (.f64 1/13456 x))) (.f64 -16/841 (/.f64 1 (fma.f64 x 1/116 -4/29))))
(+.f64 (.f64 (/.f64 x (fma.f64 x 1/116 -4/29)) (.f64 x 1/13456)) (/.f64 -16/841 (fma.f64 x 1/116 -4/29)))
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 1/116 x -4/29))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (.f64 1/13456 x))) (.f64 (neg.f64 (/.f64 16/841 (fma.f64 x (*.f64 1/13456 x) -16/841))) (fma.f64 x 1/116 4/29)))
(+.f64 (.f64 (/.f64 x (fma.f64 x 1/116 -4/29)) (.f64 x 1/13456)) (.f64 (/.f64 -16/841 (fma.f64 x (.f64 x 1/13456) -16/841)) (fma.f64 1/116 x 4/29)))
(fma.f64 (/.f64 16/841 (fma.f64 x (.f64 x -1/13456) 16/841)) (fma.f64 1/116 x 4/29) (.f64 (*.f64 x 1/13456) (/.f64 x (fma.f64 1/116 x -4/29))))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 1/116 -4/29) (.f64 1/13456 x))) (.f64 (neg.f64 (/.f64 16/841 (fma.f64 (pow.f64 x 3) 1/1560896 -64/24389))) (+.f64 (fma.f64 x (.f64 1/13456 x) 16/841) (.f64 x 1/841))))
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(binary32->binary64 (binary64->binary32 (fma.f64 1/116 x 4/29)))
(binary32->binary64 (/.f32 (+.f32 (binary64->binary32 x) 16) 116))
(binary32->binary64 (/.f32 (+.f32 16 (binary64->binary32 x)) 116))
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 x 116) -4/29)))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 x 116) 4/29)))
(binary32->binary64 (binary64->binary32 (fma.f64 1/116 x 4/29)))
(binary32->binary64 (binary64->binary32 (-.f64 (/.f64 x 116) -4/29)))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 x 116) 4/29)))
(binary32->binary64 (binary64->binary32 (fma.f64 1/116 x 4/29)))
(binary32->binary64 (-.f32 (/.f32 (binary64->binary32 x) 116) -4/29))
(binary32->binary64 (+.f32 (/.f32 (binary64->binary32 x) 116) 4/29))
(binary32->binary64 (+.f32 4/29 (/.f32 (binary64->binary32 x) 116)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 x 16) 116)))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 x 116) 4/29)))
(binary32->binary64 (binary64->binary32 (fma.f64 1/116 x 4/29)))
(binary32->binary64 (binary64->binary32 (/.f64 (+.f64 x 16) 116)))
(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 x 116) 4/29)))
(binary32->binary64 (binary64->binary32 (fma.f64 1/116 x 4/29)))
(binary32->binary64 (/.f32 (+.f32 (binary64->binary32 x) 16) 116))
(binary32->binary64 (/.f32 (+.f32 16 (binary64->binary32 x)) 116))

eval181.0ms (9.9%)

Compiler: Compiled 7673 to 5992 computations (21.9% saved)

prune41.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	307	2	309
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	307	4	311

Accuracy

100.0%

Counts

311 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 16) 116)
✓	100.0%	(-.f64 (/.f64 x 116) -4/29)
▶	53.4%	(*.f64 1/116 x)
	47.7%	4/29
✓	100.0%	(/.f64 (+.f64 x 16) 116)
✓	100.0%	(-.f64 (/.f64 x 116) -4/29)
▶	53.4%	(*.f64 1/116 x)
	47.7%	4/29

Compiler

Compiled 36 to 30 computations (16.7% saved)

localize17.0ms (0.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
	99.9%	(*.f64 1/116 x)
✓	99.9%	(*.f64 1/116 x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 1/116 x)
0.0ms	x	@	-inf	(*.f64 1/116 x)
0.0ms	x	@	0	(*.f64 1/116 x)

rewrite52.0ms (2.8%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

3×	`rewrite-binary64/binary32-simplify`
3×	`rewrite-binary64/binary32-simplify`
2×	`rewrite-binary64/binary32`
2×	`rewrite-binary64/binary32`
2×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7

Stop Event

1×

saturated

Counts

1 → 15

Calls

Call 1

Inputs
(*.f64 1/116 x)

Outputs

Calls

3 calls:

1.0ms	(*.f64 1/116 x)
0.0ms	(*.f64 1/116 x)
0.0ms	(*.f64 1/116 x)

simplify84.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

790×	`associate-*r/`
597×	`unswap-sqr`
477×	`fma-def`
403×	`exp-sum`
341×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	129
1	63	129
2	235	129
3	799	129
4	1830	129
5	5131	129

Stop Event

1×	node limit

Counts

15 → 12

Calls

Call 1

Inputs
(exp.f64 (log.f64 (*.f64 1/116 x)))
(log.f64 (exp.f64 (*.f64 1/116 x)))
(.f64 (sqrt.f64 (.f64 1/116 x)) (sqrt.f64 (*.f64 1/116 x)))
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(expm1.f64 (log1p.f64 (*.f64 1/116 x)))
(.f64 1 (.f64 1/116 x))
(.f64 (.f64 (cbrt.f64 (.f64 1/116 x)) (cbrt.f64 (.f64 1/116 x))) (cbrt.f64 (*.f64 1/116 x)))
(cbrt.f64 (.f64 (.f64 (.f64 1/116 x) (.f64 1/116 x)) (*.f64 1/116 x)))
(pow.f64 (*.f64 1/116 x) 1)
(binary32->binary64 (binary64->binary32 (*.f64 1/116 x)))
(binary32->binary64 (binary64->binary32 (*.f64 1/116 x)))
(binary32->binary64 (*.f32 1/116 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 1/116 x)))
(binary32->binary64 (binary64->binary32 (*.f64 1/116 x)))
(binary32->binary64 (*.f32 1/116 (binary64->binary32 x)))

Outputs
(exp.f64 (log.f64 (*.f64 1/116 x)))
(*.f64 1/116 x)
(log.f64 (exp.f64 (*.f64 1/116 x)))
(*.f64 1/116 x)
(.f64 (sqrt.f64 (.f64 1/116 x)) (sqrt.f64 (*.f64 1/116 x)))
(*.f64 1/116 x)
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(*.f64 1/116 x)
(expm1.f64 (log1p.f64 (*.f64 1/116 x)))
(*.f64 1/116 x)
(.f64 1 (.f64 1/116 x))
(*.f64 1/116 x)
(.f64 (.f64 (cbrt.f64 (.f64 1/116 x)) (cbrt.f64 (.f64 1/116 x))) (cbrt.f64 (*.f64 1/116 x)))
(*.f64 1/116 x)
(cbrt.f64 (.f64 (.f64 (.f64 1/116 x) (.f64 1/116 x)) (*.f64 1/116 x)))
(*.f64 1/116 x)
(pow.f64 (*.f64 1/116 x) 1)
(*.f64 1/116 x)
(binary32->binary64 (binary64->binary32 (*.f64 1/116 x)))
(binary32->binary64 (binary64->binary32 (*.f64 1/116 x)))
(binary32->binary64 (*.f32 1/116 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (*.f64 1/116 x)))
(binary32->binary64 (binary64->binary32 (*.f64 1/116 x)))
(binary32->binary64 (*.f32 1/116 (binary64->binary32 x)))

eval3.0ms (0.1%)

Compiler: Compiled 79 to 62 computations (21.5% saved)

prune4.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	12	4	16

Accuracy

100.0%

Counts

16 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 16) 116)
✓	100.0%	(-.f64 (/.f64 x 116) -4/29)
✓	53.4%	(*.f64 1/116 x)
	47.7%	4/29
✓	100.0%	(/.f64 (+.f64 x 16) 116)
✓	100.0%	(-.f64 (/.f64 x 116) -4/29)
✓	53.4%	(*.f64 1/116 x)
	47.7%	4/29

Compiler

Compiled 36 to 30 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 16) 116)
✓	100.0%	(-.f64 (/.f64 x 116) -4/29)
✓	53.4%	(*.f64 1/116 x)
	47.7%	4/29
✓	100.0%	(/.f64 (+.f64 x 16) 116)
✓	100.0%	(-.f64 (/.f64 x 116) -4/29)
✓	53.4%	(*.f64 1/116 x)
	47.7%	4/29

Compiler

Compiled 36 to 30 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 16) 116)
✓	100.0%	(-.f64 (/.f64 x 116) -4/29)
✓	53.4%	(*.f64 1/116 x)
	47.7%	4/29

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes13.0ms (0.7%)

Counts

4 → 1

Calls

Call 1

Inputs
4/29
(*.f64 1/116 x)
(-.f64 (/.f64 x 116) -4/29)
(/.f64 (+.f64 x 16) 116)

Outputs
(/.f64 (+.f64 x 16) 116)

Calls

3 calls:

5.0ms	(/.f64 (+.f64 x 16) 116)
4.0ms	x
3.0ms	(+.f64 x 16)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (+.f64 x 16) 116)`
100.0%	1	`(+.f64 x 16)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes5.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
4/29
(*.f64 1/116 x)
(-.f64 (/.f64 x 116) -4/29)

Outputs
(-.f64 (/.f64 x 116) -4/29)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.6%)

Counts

2 → 3

Calls

Call 1

Inputs
4/29
(*.f64 1/116 x)

Outputs
(*.f64 1/116 x)
4/29
(*.f64 1/116 x)

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
97.4%	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
4/29

Outputs
4/29

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
47.7%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch26.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	7.930255889247755	50.9036347767274
17.0ms	-37943132.44935081	-1.454501156574223e-15

Results

22.0ms

272×

body

256

valid

Compiler

Compiled 146 to 127 computations (13% saved)

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative`
2×	`sub-neg`
2×	`if-if-or-not`
2×	`*-commutative`
1×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	60
1	31	60
2	36	60
3	38	60
4	39	60

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x 16) 116)
(-.f64 (/.f64 x 116) -4/29)
(if (<=.f64 x -16) (.f64 1/116 x) (if (<=.f64 x 16) 4/29 (.f64 1/116 x)))
4/29

Outputs
(/.f64 (+.f64 x 16) 116)
(-.f64 (/.f64 x 116) -4/29)
(if (<=.f64 x -16) (.f64 1/116 x) (if (<=.f64 x 16) 4/29 (.f64 1/116 x)))
(if (or (<=.f64 x -16) (not (<=.f64 x 16))) (*.f64 x 1/116) 4/29)
(if (<=.f64 x -16) (.f64 x 1/116) (if (<=.f64 x 16) 4/29 (.f64 x 1/116)))
4/29

Compiler

Compiled 30 to 24 computations (20% saved)

soundness36.0ms (2%)

Rules

18×	`fma-def`
17×	`+-commutative`
11×	`div-sub`
10×	`sub-neg`
6×	`*-commutative`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	17	39
2	25	39
3	40	39
4	55	39
5	81	39
6	123	39
7	151	35
8	163	35
9	166	35

Stop Event

1×

saturated

Compiler

Compiled 45 to 38 computations (15.6% saved)

end0.0ms (0%)

preprocess34.0ms (1.9%)

Compiler: Compiled 66 to 52 computations (21.2% saved)

analyze0.0ms (0%)

sample728.0ms (39.8%)

preprocess62.0ms (3.4%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

localize82.0ms (4.5%)

series2.0ms (0.1%)

rewrite162.0ms (8.9%)

simplify261.0ms (14.3%)

eval181.0ms (9.9%)

prune41.0ms (2.3%)

localize17.0ms (0.9%)

series1.0ms (0.1%)

rewrite52.0ms (2.8%)

simplify84.0ms (4.6%)

eval3.0ms (0.1%)

prune4.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes13.0ms (0.7%)

regimes5.0ms (0.2%)

regimes10.0ms (0.6%)

regimes4.0ms (0.2%)

bsearch26.0ms (1.4%)

simplify10.0ms (0.6%)

soundness36.0ms (2%)

end0.0ms (0%)

preprocess34.0ms (1.9%)

Profiling