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)

sample832.0ms (31.6%)

Results

821.0ms

8256×

body

256

valid

Bogosity

preprocess96.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

36×	`fma-def`
30×	`sub-neg`
22×	`div-sub`
20×	`+-commutative`
12×	`*-commutative`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	17	39
2	25	39
3	41	39
4	56	39
5	83	39
6	126	39
7	156	35
8	172	35
9	175	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 4/29 (/.f64 x -116))
(+.f64 4/29 (*.f64 -1/116 x))
(fma.f64 x -1/116 4/29)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval1.0ms (0%)

Compiler: Compiled 16 to 13 computations (18.8% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize38.0ms (1.4%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (/.f64 x 116) -4/29)
0.0ms	x	@	0	(-.f64 (/.f64 x 116) -4/29)
0.0ms	x	@	-inf	(-.f64 (/.f64 x 116) -4/29)

rewrite90.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1602×	`pow1`
1518×	`add-exp-log`
1518×	`log1p-expm1-u`
1518×	`expm1-log1p-u`
1492×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	162	9
2	2002	9

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x 1/116) 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(*.f64 (fma.f64 x 1/116 4/29) 1)
(*.f64 1 (fma.f64 x 1/116 4/29))
(*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29)))
(*.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (*.f64 x -1/841)))))
(.f64 (+.f64 (.f64 (*.f64 x x) 1/13456) -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841))) (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389)))
(/.f64 1 (/.f64 (fma.f64 x 1/116 -4/29) (+.f64 (.f64 (.f64 x x) 1/13456) -16/841)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389) (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389) (+.f64 (.f64 (.f64 x x) 1/13456) (-.f64 16/841 (.f64 (*.f64 x 1/116) 4/29))))
(/.f64 (+.f64 (.f64 (.f64 x x) 1/13456) -16/841) (fma.f64 x 1/116 -4/29))
(/.f64 (+.f64 (.f64 (.f64 x x) 1/13456) -16/841) (-.f64 (*.f64 x 1/116) 4/29))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389)) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841)))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 1/13456) -16/841)) (neg.f64 (fma.f64 x 1/116 -4/29)))
(pow.f64 (fma.f64 x 1/116 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (log.f64 (fma.f64 x 1/116 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 x 1/116 4/29)
(fma.f64 1 (*.f64 x 1/116) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/116)) 2) (cbrt.f64 (.f64 x 1/116)) 4/29)
(fma.f64 (sqrt.f64 (.f64 x 1/116)) (sqrt.f64 (.f64 x 1/116)) 4/29)

simplify82.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1422×	`fma-def`
880×	`times-frac`
802×	`distribute-rgt-in`
760×	`distribute-lft-in`
684×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	725
1	182	645
2	586	645
3	3235	615

Stop Event

1×	node limit

Counts

43 → 41

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 (*.f64 x 1/116) 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(*.f64 (fma.f64 x 1/116 4/29) 1)
(*.f64 1 (fma.f64 x 1/116 4/29))
(*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29)))
(*.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (*.f64 x -1/841)))))
(.f64 (+.f64 (.f64 (*.f64 x x) 1/13456) -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841))) (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389)))
(/.f64 1 (/.f64 (fma.f64 x 1/116 -4/29) (+.f64 (.f64 (.f64 x x) 1/13456) -16/841)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389) (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389) (+.f64 (.f64 (.f64 x x) 1/13456) (-.f64 16/841 (.f64 (*.f64 x 1/116) 4/29))))
(/.f64 (+.f64 (.f64 (.f64 x x) 1/13456) -16/841) (fma.f64 x 1/116 -4/29))
(/.f64 (+.f64 (.f64 (.f64 x x) 1/13456) -16/841) (-.f64 (*.f64 x 1/116) 4/29))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389)) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841)))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 1/13456) -16/841)) (neg.f64 (fma.f64 x 1/116 -4/29)))
(pow.f64 (fma.f64 x 1/116 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (log.f64 (fma.f64 x 1/116 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 x 1/116 4/29)
(fma.f64 1 (*.f64 x 1/116) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/116)) 2) (cbrt.f64 (.f64 x 1/116)) 4/29)
(fma.f64 (sqrt.f64 (.f64 x 1/116)) (sqrt.f64 (.f64 x 1/116)) 4/29)

Outputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 (*.f64 x 1/116) 4/29)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (fma.f64 x 1/116 4/29) 1)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 1 (fma.f64 x 1/116 4/29))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (*.f64 x -1/841)))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (/.f64 1 (fma.f64 (.f64 x x) 1/13456 (+.f64 16/841 (*.f64 x -1/841)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x -1/841 (fma.f64 x (*.f64 x 1/13456) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841))
(.f64 (+.f64 (.f64 (*.f64 x x) 1/13456) -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))
(.f64 (fma.f64 (.f64 x x) 1/13456 -16/841) (/.f64 1 (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 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841))) (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389)))
(.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (/.f64 1 (fma.f64 (.f64 x x) 1/13456 (+.f64 16/841 (*.f64 x -1/841)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x -1/841 (fma.f64 x (*.f64 x 1/13456) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841))
(/.f64 1 (/.f64 (fma.f64 x 1/116 -4/29) (+.f64 (.f64 (.f64 x x) 1/13456) -16/841)))
(.f64 (fma.f64 (.f64 x x) 1/13456 -16/841) (/.f64 1 (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 (.f64 (pow.f64 x 3) 1/1560896) 64/24389) (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (/.f64 1 (fma.f64 (.f64 x x) 1/13456 (+.f64 16/841 (*.f64 x -1/841)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x -1/841 (fma.f64 x (*.f64 x 1/13456) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389) (+.f64 (.f64 (.f64 x x) 1/13456) (-.f64 16/841 (.f64 (*.f64 x 1/116) 4/29))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (/.f64 1 (fma.f64 (.f64 x x) 1/13456 (+.f64 16/841 (*.f64 x -1/841)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x -1/841 (fma.f64 x (*.f64 x 1/13456) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841))
(/.f64 (+.f64 (.f64 (.f64 x x) 1/13456) -16/841) (fma.f64 x 1/116 -4/29))
(.f64 (fma.f64 (.f64 x x) 1/13456 -16/841) (/.f64 1 (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 (.f64 (.f64 x x) 1/13456) -16/841) (-.f64 (*.f64 x 1/116) 4/29))
(.f64 (fma.f64 (.f64 x x) 1/13456 -16/841) (/.f64 1 (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 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389)) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841)))))
(.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (/.f64 1 (fma.f64 (.f64 x x) 1/13456 (+.f64 16/841 (*.f64 x -1/841)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x -1/841 (fma.f64 x (*.f64 x 1/13456) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 1/13456) -16/841)) (neg.f64 (fma.f64 x 1/116 -4/29)))
(.f64 (fma.f64 (.f64 x x) 1/13456 -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 1/116 x -4/29))
(pow.f64 (fma.f64 x 1/116 4/29) 1)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 1 (*.f64 x 1/116) 4/29)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/116)) 2) (cbrt.f64 (.f64 x 1/116)) 4/29)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (sqrt.f64 (.f64 x 1/116)) (sqrt.f64 (.f64 x 1/116)) 4/29)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)

eval32.0ms (1.2%)

Compiler: Compiled 430 to 334 computations (22.3% saved)

prune18.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Accuracy

100.0%

Counts

42 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.2%	(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841))) (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389)))
✓	100.0%	(-.f64 (/.f64 x 116) -4/29)
▶	51.1%	(*.f64 1/116 x)
	51.1%	4/29
▶	66.2%	(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841))) (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389)))
✓	100.0%	(-.f64 (/.f64 x 116) -4/29)
▶	51.1%	(*.f64 1/116 x)
	51.1%	4/29

Compiler

Compiled 68 to 56 computations (17.6% saved)

localize197.0ms (7.5%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 (pow.f64 x 3) 1/1560896)
✓	99.1%	(*.f64 x -1/841)
✓	98.9%	(.f64 (.f64 x x) 1/13456)
✓	66.7%	(/.f64 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841))) (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389))
✓	99.9%	(*.f64 1/116 x)

Compiler

Compiled 97 to 70 computations (27.8% saved)

series11.0ms (0.4%)

Counts

5 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(*.f64 x -1/841)
1.0ms	x	@	0	(/.f64 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841))) (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389))
1.0ms	x	@	inf	(*.f64 1/116 x)
1.0ms	x	@	inf	(/.f64 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841))) (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389))
1.0ms	x	@	0	(*.f64 (pow.f64 x 3) 1/1560896)

rewrite137.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`fma-def`
698×	`expm1-udef`
684×	`log1p-udef`
678×	`fma-neg`
426×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	87
1	452	83
2	5677	83

Stop Event

1×	node limit

Counts

5 → 89

Calls

Call 1

Inputs
(*.f64 1/116 x)
(/.f64 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841))) (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389))
(.f64 (.f64 x x) 1/13456)
(*.f64 x -1/841)
(*.f64 (pow.f64 x 3) 1/1560896)

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/116 x))) 1)
(pow.f64 (*.f64 1/116 x) 1)
(pow.f64 (.f64 x (.f64 x 1/13456)) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(sqrt.f64 (.f64 x (.f64 x 1/13456)))
(fabs.f64 (*.f64 1/116 x))
(log.f64 (pow.f64 (exp.f64 1/116) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/116 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))
(expm1.f64 (log1p.f64 (*.f64 1/116 x)))
(exp.f64 (log.f64 (*.f64 1/116 x)))
(exp.f64 (.f64 (log.f64 (.f64 1/116 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))) 1)
(.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (/.f64 1 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) 1)
(.f64 1 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) 2)) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841))) (/.f64 1 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (hypot.f64 (.f64 1/116 x) (sqrt.f64 (fma.f64 x -1/841 16/841))) (.f64 (hypot.f64 (.f64 1/116 x) (sqrt.f64 (fma.f64 x -1/841 16/841))) (/.f64 1 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (neg.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841))) (/.f64 1 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) 2))) (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))) (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841))) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) 2)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) 2))) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) 2)) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (/.f64 (hypot.f64 (.f64 1/116 x) (sqrt.f64 (fma.f64 x -1/841 16/841))) 1) (/.f64 (hypot.f64 (*.f64 1/116 x) (sqrt.f64 (fma.f64 x -1/841 16/841))) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))
(.f64 (/.f64 (hypot.f64 (.f64 1/116 x) (sqrt.f64 (fma.f64 x -1/841 16/841))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) 2))) (/.f64 (hypot.f64 (*.f64 1/116 x) (sqrt.f64 (fma.f64 x -1/841 16/841))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/3802961274698203136 262144/14507145975869)) (-.f64 (fma.f64 (pow.f64 x 6) 1/2436396322816 4096/594823321) (*.f64 (pow.f64 x 3) 1/594823321)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 6) 1/2436396322816 -4096/594823321)) (fma.f64 (pow.f64 x 3) 1/1560896 -64/24389))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))) 2)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841))) -1)
(neg.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (neg.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) 3) (pow.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/13456)))) 1)
(pow.f64 (*.f64 1/116 x) 2)
(pow.f64 (.f64 x (.f64 x 1/13456)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 x)) 2) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/2436396322816) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/181063936))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/13456)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/13456)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/2436396322816))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/13456))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/13456))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/13456))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/13456))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/841))) 1)
(pow.f64 (*.f64 x -1/841) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/841)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) -1/594823321) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/841)) 2)
(sqrt.f64 (.f64 (.f64 x x) 1/707281))
(log.f64 (pow.f64 (exp.f64 -1/841) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/841))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/594823321))
(expm1.f64 (log1p.f64 (*.f64 x -1/841)))
(exp.f64 (log.f64 (*.f64 x -1/841)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/841)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -1/841)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/1560896))) 1)
(pow.f64 (*.f64 1/116 x) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 1/1560896) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/2436396322816))
(log.f64 (pow.f64 (exp.f64 1/1560896) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 1/1560896))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/1560896)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/1560896)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 1/1560896)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 1/1560896)))

simplify103.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

994×	`distribute-rgt-in`
978×	`distribute-lft-in`
888×	`fma-def`
514×	`*-commutative`
446×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	3421
1	578	3381
2	1793	3371

Stop Event

1×	node limit

Counts

137 → 139

Calls

Call 1

Inputs
29/4
(+.f64 29/4 (*.f64 -29/64 x))
(+.f64 29/4 (+.f64 (.f64 -29/64 x) (.f64 29/1024 (pow.f64 x 2))))
(+.f64 29/4 (+.f64 (.f64 -29/64 x) (+.f64 (.f64 -29/16384 (pow.f64 x 3)) (*.f64 29/1024 (pow.f64 x 2)))))
(/.f64 116 x)
(-.f64 (.f64 116 (/.f64 1 x)) (.f64 1856 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 29696 (/.f64 1 (pow.f64 x 3))) (.f64 116 (/.f64 1 x))) (*.f64 1856 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 29696 (/.f64 1 (pow.f64 x 3))) (.f64 116 (/.f64 1 x))) (+.f64 (.f64 1856 (/.f64 1 (pow.f64 x 2))) (.f64 475136 (/.f64 1 (pow.f64 x 4)))))
(/.f64 116 x)
(-.f64 (.f64 116 (/.f64 1 x)) (.f64 1856 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 29696 (/.f64 1 (pow.f64 x 3))) (.f64 116 (/.f64 1 x))) (*.f64 1856 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 29696 (/.f64 1 (pow.f64 x 3))) (.f64 116 (/.f64 1 x))) (+.f64 (.f64 1856 (/.f64 1 (pow.f64 x 2))) (.f64 475136 (/.f64 1 (pow.f64 x 4)))))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 1/13456 (pow.f64 x 2))
(*.f64 -1/841 x)
(*.f64 -1/841 x)
(*.f64 -1/841 x)
(*.f64 -1/841 x)
(*.f64 -1/841 x)
(*.f64 -1/841 x)
(*.f64 -1/841 x)
(*.f64 -1/841 x)
(*.f64 -1/841 x)
(*.f64 -1/841 x)
(*.f64 -1/841 x)
(*.f64 -1/841 x)
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 1/1560896 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/116 x))) 1)
(pow.f64 (*.f64 1/116 x) 1)
(pow.f64 (.f64 x (.f64 x 1/13456)) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(sqrt.f64 (.f64 x (.f64 x 1/13456)))
(fabs.f64 (*.f64 1/116 x))
(log.f64 (pow.f64 (exp.f64 1/116) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/116 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))
(expm1.f64 (log1p.f64 (*.f64 1/116 x)))
(exp.f64 (log.f64 (*.f64 1/116 x)))
(exp.f64 (.f64 (log.f64 (.f64 1/116 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))) 1)
(.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (/.f64 1 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) 1)
(.f64 1 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) 2)) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841))) (/.f64 1 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (hypot.f64 (.f64 1/116 x) (sqrt.f64 (fma.f64 x -1/841 16/841))) (.f64 (hypot.f64 (.f64 1/116 x) (sqrt.f64 (fma.f64 x -1/841 16/841))) (/.f64 1 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (neg.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841))) (/.f64 1 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) 2))) (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))) (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841))) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) 2)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) 2))) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) 2)) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (/.f64 (hypot.f64 (.f64 1/116 x) (sqrt.f64 (fma.f64 x -1/841 16/841))) 1) (/.f64 (hypot.f64 (*.f64 1/116 x) (sqrt.f64 (fma.f64 x -1/841 16/841))) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))
(.f64 (/.f64 (hypot.f64 (.f64 1/116 x) (sqrt.f64 (fma.f64 x -1/841 16/841))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) 2))) (/.f64 (hypot.f64 (*.f64 1/116 x) (sqrt.f64 (fma.f64 x -1/841 16/841))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/3802961274698203136 262144/14507145975869)) (-.f64 (fma.f64 (pow.f64 x 6) 1/2436396322816 4096/594823321) (*.f64 (pow.f64 x 3) 1/594823321)))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 6) 1/2436396322816 -4096/594823321)) (fma.f64 (pow.f64 x 3) 1/1560896 -64/24389))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))) 2)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841))) -1)
(neg.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (neg.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) 3) (pow.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/13456)))) 1)
(pow.f64 (*.f64 1/116 x) 2)
(pow.f64 (.f64 x (.f64 x 1/13456)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 x)) 2) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/2436396322816) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/181063936))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/13456)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/13456)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/2436396322816))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/13456))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/13456))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/13456))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/13456))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/841))) 1)
(pow.f64 (*.f64 x -1/841) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/841)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) -1/594823321) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/841)) 2)
(sqrt.f64 (.f64 (.f64 x x) 1/707281))
(log.f64 (pow.f64 (exp.f64 -1/841) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/841))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/594823321))
(expm1.f64 (log1p.f64 (*.f64 x -1/841)))
(exp.f64 (log.f64 (*.f64 x -1/841)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/841)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -1/841)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/1560896))) 1)
(pow.f64 (*.f64 1/116 x) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 1/1560896) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/2436396322816))
(log.f64 (pow.f64 (exp.f64 1/1560896) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 1/1560896))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/1560896)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/1560896)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 1/1560896)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 1/1560896)))

Outputs
29/4
(+.f64 29/4 (*.f64 -29/64 x))
(fma.f64 -29/64 x 29/4)
(+.f64 29/4 (+.f64 (.f64 -29/64 x) (.f64 29/1024 (pow.f64 x 2))))
(+.f64 29/4 (fma.f64 -29/64 x (.f64 29/1024 (.f64 x x))))
(+.f64 (fma.f64 -29/64 x 29/4) (.f64 x (.f64 x 29/1024)))
(fma.f64 -29/64 x (fma.f64 x (*.f64 x 29/1024) 29/4))
(+.f64 29/4 (+.f64 (.f64 -29/64 x) (+.f64 (.f64 -29/16384 (pow.f64 x 3)) (*.f64 29/1024 (pow.f64 x 2)))))
(+.f64 29/4 (fma.f64 -29/64 x (fma.f64 -29/16384 (pow.f64 x 3) (.f64 29/1024 (.f64 x x)))))
(+.f64 (fma.f64 -29/64 x 29/4) (fma.f64 29/1024 (.f64 x x) (.f64 -29/16384 (pow.f64 x 3))))
(+.f64 (fma.f64 -29/64 x 29/4) (.f64 (.f64 x x) (+.f64 29/1024 (*.f64 x -29/16384))))
(/.f64 116 x)
(-.f64 (.f64 116 (/.f64 1 x)) (.f64 1856 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 116 x) (/.f64 1856 (*.f64 x x)))
(+.f64 (/.f64 116 x) (/.f64 -1856 (*.f64 x x)))
(-.f64 (+.f64 (.f64 29696 (/.f64 1 (pow.f64 x 3))) (.f64 116 (/.f64 1 x))) (*.f64 1856 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 29696 (pow.f64 x 3)) (-.f64 (/.f64 116 x) (/.f64 1856 (*.f64 x x))))
(+.f64 (/.f64 116 x) (+.f64 (/.f64 29696 (pow.f64 x 3)) (/.f64 -1856 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 116 x) (/.f64 -1856 (*.f64 x x))) (/.f64 29696 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 29696 (/.f64 1 (pow.f64 x 3))) (.f64 116 (/.f64 1 x))) (+.f64 (.f64 1856 (/.f64 1 (pow.f64 x 2))) (.f64 475136 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 29696 (pow.f64 x 3)) (-.f64 (/.f64 116 x) (+.f64 (/.f64 1856 (*.f64 x x)) (/.f64 475136 (pow.f64 x 4)))))
(+.f64 (/.f64 29696 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 116 x) (/.f64 -1856 (*.f64 x x))) (/.f64 475136 (pow.f64 x 4))))
(+.f64 (/.f64 116 x) (+.f64 (+.f64 (/.f64 29696 (pow.f64 x 3)) (/.f64 -475136 (pow.f64 x 4))) (/.f64 -1856 (*.f64 x x))))
(/.f64 116 x)
(-.f64 (.f64 116 (/.f64 1 x)) (.f64 1856 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 116 x) (/.f64 1856 (*.f64 x x)))
(+.f64 (/.f64 116 x) (/.f64 -1856 (*.f64 x x)))
(-.f64 (+.f64 (.f64 29696 (/.f64 1 (pow.f64 x 3))) (.f64 116 (/.f64 1 x))) (*.f64 1856 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 29696 (pow.f64 x 3)) (-.f64 (/.f64 116 x) (/.f64 1856 (*.f64 x x))))
(+.f64 (/.f64 116 x) (+.f64 (/.f64 29696 (pow.f64 x 3)) (/.f64 -1856 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 116 x) (/.f64 -1856 (*.f64 x x))) (/.f64 29696 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 29696 (/.f64 1 (pow.f64 x 3))) (.f64 116 (/.f64 1 x))) (+.f64 (.f64 1856 (/.f64 1 (pow.f64 x 2))) (.f64 475136 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 29696 (pow.f64 x 3)) (-.f64 (/.f64 116 x) (+.f64 (/.f64 1856 (*.f64 x x)) (/.f64 475136 (pow.f64 x 4)))))
(+.f64 (/.f64 29696 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 116 x) (/.f64 -1856 (*.f64 x x))) (/.f64 475136 (pow.f64 x 4))))
(+.f64 (/.f64 116 x) (+.f64 (+.f64 (/.f64 29696 (pow.f64 x 3)) (/.f64 -475136 (pow.f64 x 4))) (/.f64 -1856 (*.f64 x x))))
(*.f64 1/13456 (pow.f64 x 2))
(.f64 (.f64 x x) 1/13456)
(.f64 x (.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(.f64 (.f64 x x) 1/13456)
(.f64 x (.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(.f64 (.f64 x x) 1/13456)
(.f64 x (.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(.f64 (.f64 x x) 1/13456)
(.f64 x (.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(.f64 (.f64 x x) 1/13456)
(.f64 x (.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(.f64 (.f64 x x) 1/13456)
(.f64 x (.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(.f64 (.f64 x x) 1/13456)
(.f64 x (.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(.f64 (.f64 x x) 1/13456)
(.f64 x (.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(.f64 (.f64 x x) 1/13456)
(.f64 x (.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(.f64 (.f64 x x) 1/13456)
(.f64 x (.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(.f64 (.f64 x x) 1/13456)
(.f64 x (.f64 x 1/13456))
(*.f64 1/13456 (pow.f64 x 2))
(.f64 (.f64 x x) 1/13456)
(.f64 x (.f64 x 1/13456))
(*.f64 -1/841 x)
(*.f64 x -1/841)
(*.f64 -1/841 x)
(*.f64 x -1/841)
(*.f64 -1/841 x)
(*.f64 x -1/841)
(*.f64 -1/841 x)
(*.f64 x -1/841)
(*.f64 -1/841 x)
(*.f64 x -1/841)
(*.f64 -1/841 x)
(*.f64 x -1/841)
(*.f64 -1/841 x)
(*.f64 x -1/841)
(*.f64 -1/841 x)
(*.f64 x -1/841)
(*.f64 -1/841 x)
(*.f64 x -1/841)
(*.f64 -1/841 x)
(*.f64 x -1/841)
(*.f64 -1/841 x)
(*.f64 x -1/841)
(*.f64 -1/841 x)
(*.f64 x -1/841)
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/1560896)
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/1560896)
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/1560896)
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/1560896)
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/1560896)
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/1560896)
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/1560896)
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/1560896)
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/1560896)
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/1560896)
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/1560896)
(*.f64 1/1560896 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/1560896)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/116 x))) 1)
(*.f64 x 1/116)
(pow.f64 (*.f64 1/116 x) 1)
(*.f64 x 1/116)
(pow.f64 (.f64 x (.f64 x 1/13456)) 1/2)
(*.f64 x 1/116)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1/3)
(*.f64 x 1/116)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(*.f64 x 1/116)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(*.f64 x 1/116)
(sqrt.f64 (.f64 x (.f64 x 1/13456)))
(*.f64 x 1/116)
(fabs.f64 (*.f64 1/116 x))
(*.f64 x 1/116)
(log.f64 (pow.f64 (exp.f64 1/116) x))
(*.f64 x 1/116)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/116 x))))
(*.f64 x 1/116)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))
(*.f64 x 1/116)
(expm1.f64 (log1p.f64 (*.f64 1/116 x)))
(*.f64 x 1/116)
(exp.f64 (log.f64 (*.f64 1/116 x)))
(*.f64 x 1/116)
(exp.f64 (.f64 (log.f64 (.f64 1/116 x)) 1))
(*.f64 x 1/116)
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(*.f64 x 1/116)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))) 1)
(/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))
(.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (/.f64 1 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))
(/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))
(.f64 (/.f64 (fma.f64 x (.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) 1)
(/.f64 (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/841))))
(*.f64 x -1/841)
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/594823321))
(expm1.f64 (log1p.f64 (*.f64 x -1/841)))
(*.f64 x -1/841)
(exp.f64 (log.f64 (*.f64 x -1/841)))
(*.f64 x -1/841)
(exp.f64 (.f64 (log.f64 (.f64 x -1/841)) 1))
(*.f64 x -1/841)
(log1p.f64 (expm1.f64 (*.f64 x -1/841)))
(*.f64 x -1/841)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/1560896))) 1)
(*.f64 (pow.f64 x 3) 1/1560896)
(pow.f64 (*.f64 1/116 x) 3)
(*.f64 (pow.f64 x 3) 1/1560896)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1)
(*.f64 (pow.f64 x 3) 1/1560896)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 3) 1/3)
(*.f64 (pow.f64 x 3) 1/1560896)
(pow.f64 (*.f64 (sqrt.f64 1/1560896) (pow.f64 x 3/2)) 2)
(*.f64 (pow.f64 x 3) 1/1560896)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/2436396322816))
(sqrt.f64 (pow.f64 (*.f64 x 1/116) 6))
(log.f64 (pow.f64 (exp.f64 1/1560896) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) 1/1560896)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 1/1560896))))
(*.f64 (pow.f64 x 3) 1/1560896)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 3))
(*.f64 (pow.f64 x 3) 1/1560896)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/1560896)))
(*.f64 (pow.f64 x 3) 1/1560896)
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/1560896)))
(*.f64 (pow.f64 x 3) 1/1560896)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 1/1560896)) 1))
(*.f64 (pow.f64 x 3) 1/1560896)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 1/1560896)))
(*.f64 (pow.f64 x 3) 1/1560896)

eval124.0ms (4.7%)

Compiler: Compiled 2994 to 2401 computations (19.8% saved)

prune332.0ms (12.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	0	1	1
Picked	1	1	2
Done	0	1	1
Total	139	4	143

Accuracy

100.0%

Counts

143 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(/.f64 1 (+.f64 29/4 (*.f64 -29/64 x)))
✓	100.0%	(-.f64 (/.f64 x 116) -4/29)
✓	51.1%	(*.f64 1/116 x)
	51.1%	4/29
▶	51.0%	(/.f64 1 (+.f64 29/4 (*.f64 -29/64 x)))
✓	100.0%	(-.f64 (/.f64 x 116) -4/29)
✓	51.1%	(*.f64 1/116 x)
	51.1%	4/29

Compiler

Compiled 40 to 34 computations (15% saved)

localize87.0ms (3.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 29/4 (*.f64 -29/64 x))
✓	99.8%	(/.f64 1 (+.f64 29/4 (*.f64 -29/64 x)))

Compiler

Compiled 21 to 17 computations (19% saved)

series3.0ms (0.1%)

Counts

2 → 15

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (+.f64 29/4 (*.f64 -29/64 x)))
1.0ms	x	@	-inf	(/.f64 1 (+.f64 29/4 (*.f64 -29/64 x)))
1.0ms	x	@	0	(/.f64 1 (+.f64 29/4 (*.f64 -29/64 x)))
0.0ms	x	@	inf	(+.f64 29/4 (*.f64 -29/64 x))
0.0ms	x	@	0	(+.f64 29/4 (*.f64 -29/64 x))

rewrite170.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`pow1`
1688×	`add-exp-log`
1688×	`log1p-expm1-u`
1688×	`expm1-log1p-u`
1656×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	191	24
2	2283	24

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(/.f64 1 (+.f64 29/4 (*.f64 -29/64 x)))
(+.f64 29/4 (*.f64 -29/64 x))

Outputs
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 -29/64 x 29/4))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -29/64 x 29/4)))
(*.f64 (/.f64 1 (fma.f64 -29/64 x 29/4)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -29/64 x 29/4))) (cbrt.f64 (pow.f64 (fma.f64 -29/64 x 29/4) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -29/64 x 29/4) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -29/64 x 29/4))))
(*.f64 (pow.f64 (fma.f64 -29/64 x 29/4) -1/2) (pow.f64 (fma.f64 -29/64 x 29/4) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -29/64 x 29/4))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -29/64 x 29/4)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -29/64 x 29/4)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -29/64 x 29/4)) -1) (pow.f64 (sqrt.f64 (fma.f64 -29/64 x 29/4)) -1))
(.f64 (/.f64 1 (+.f64 (.f64 -24389/262144 (pow.f64 x 3)) 24389/64)) (+.f64 841/16 (-.f64 (pow.f64 (.f64 -29/64 x) 2) (.f64 -841/256 x))))
(.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 -29/64 x) 2))) (-.f64 29/4 (*.f64 -29/64 x)))
(pow.f64 (fma.f64 -29/64 x 29/4) -1)
(pow.f64 (/.f64 1 (fma.f64 -29/64 x 29/4)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -29/64 x 29/4))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -29/64 x 29/4)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 -29/64 x 29/4) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 -29/64 x 29/4) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -29/64 x 29/4))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -29/64 x 29/4)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -29/64 x 29/4))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -29/64 x 29/4))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -29/64 x 29/4))))
(-.f64 (+.f64 1 (fma.f64 -29/64 x 29/4)) 1)
(-.f64 (/.f64 841/16 (-.f64 29/4 (.f64 -29/64 x))) (/.f64 (pow.f64 (.f64 -29/64 x) 2) (-.f64 29/4 (*.f64 -29/64 x))))
(*.f64 1 (fma.f64 -29/64 x 29/4))
(*.f64 (fma.f64 -29/64 x 29/4) 1)
(*.f64 (cbrt.f64 (fma.f64 -29/64 x 29/4)) (pow.f64 (cbrt.f64 (fma.f64 -29/64 x 29/4)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -29/64 x 29/4)) 2) (cbrt.f64 (fma.f64 -29/64 x 29/4)))
(*.f64 (sqrt.f64 (fma.f64 -29/64 x 29/4)) (sqrt.f64 (fma.f64 -29/64 x 29/4)))
(.f64 (+.f64 (.f64 -24389/262144 (pow.f64 x 3)) 24389/64) (/.f64 1 (+.f64 841/16 (-.f64 (pow.f64 (.f64 -29/64 x) 2) (.f64 -841/256 x)))))
(.f64 (-.f64 841/16 (pow.f64 (.f64 -29/64 x) 2)) (/.f64 1 (-.f64 29/4 (*.f64 -29/64 x))))
(/.f64 1 (/.f64 1 (fma.f64 -29/64 x 29/4)))
(/.f64 1 (/.f64 (+.f64 841/16 (-.f64 (pow.f64 (.f64 -29/64 x) 2) (.f64 -841/256 x))) (+.f64 (*.f64 -24389/262144 (pow.f64 x 3)) 24389/64)))
(/.f64 1 (/.f64 (-.f64 29/4 (.f64 -29/64 x)) (-.f64 841/16 (pow.f64 (.f64 -29/64 x) 2))))
(/.f64 (fma.f64 -29/64 x 29/4) 1)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -29/64 x 29/4)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -29/64 x 29/4))))
(/.f64 (sqrt.f64 (fma.f64 -29/64 x 29/4)) (pow.f64 (fma.f64 -29/64 x 29/4) -1/2))
(/.f64 (neg.f64 (fma.f64 -29/64 x 29/4)) -1)
(/.f64 (+.f64 (.f64 -24389/262144 (pow.f64 x 3)) 24389/64) (+.f64 841/16 (-.f64 (pow.f64 (.f64 -29/64 x) 2) (*.f64 -841/256 x))))
(/.f64 (+.f64 (.f64 -24389/262144 (pow.f64 x 3)) 24389/64) (+.f64 (pow.f64 (.f64 -29/64 x) 2) (-.f64 841/16 (*.f64 -841/256 x))))
(/.f64 (-.f64 841/16 (pow.f64 (.f64 -29/64 x) 2)) (-.f64 29/4 (.f64 -29/64 x)))
(/.f64 (neg.f64 (+.f64 (.f64 -24389/262144 (pow.f64 x 3)) 24389/64)) (neg.f64 (+.f64 841/16 (-.f64 (pow.f64 (.f64 -29/64 x) 2) (*.f64 -841/256 x)))))
(/.f64 (neg.f64 (-.f64 841/16 (pow.f64 (.f64 -29/64 x) 2))) (neg.f64 (-.f64 29/4 (.f64 -29/64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 -29/64 x) 2) 841/16) (-.f64 (.f64 -29/64 x) 29/4))
(pow.f64 (fma.f64 -29/64 x 29/4) 1)
(pow.f64 (cbrt.f64 (fma.f64 -29/64 x 29/4)) 3)
(pow.f64 (pow.f64 (fma.f64 -29/64 x 29/4) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -29/64 x 29/4)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -29/64 x 29/4) 2))
(log.f64 (exp.f64 (fma.f64 -29/64 x 29/4)))
(cbrt.f64 (pow.f64 (fma.f64 -29/64 x 29/4) 3))
(expm1.f64 (log1p.f64 (fma.f64 -29/64 x 29/4)))
(exp.f64 (log.f64 (fma.f64 -29/64 x 29/4)))
(log1p.f64 (expm1.f64 (fma.f64 -29/64 x 29/4)))
(fma.f64 1 (*.f64 -29/64 x) 29/4)
(fma.f64 -29/64 x 29/4)
(fma.f64 x -29/64 29/4)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -29/64 x)) 2) (cbrt.f64 (.f64 -29/64 x)) 29/4)
(fma.f64 (sqrt.f64 (.f64 -29/64 x)) (sqrt.f64 (.f64 -29/64 x)) 29/4)

simplify109.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1254×	`unswap-sqr`
1080×	`fma-neg`
864×	`fma-def`
794×	`log-prod`
658×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	2130
1	423	1790
2	1457	1424
3	7202	1424

Stop Event

1×	node limit

Counts

74 → 107

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (+.f64 (.f64 1/1856 (pow.f64 x 2)) (.f64 1/116 x)))
(+.f64 4/29 (+.f64 (.f64 1/29696 (pow.f64 x 3)) (+.f64 (.f64 1/1856 (pow.f64 x 2)) (*.f64 1/116 x))))
(/.f64 -64/29 x)
(neg.f64 (+.f64 (.f64 64/29 (/.f64 1 x)) (.f64 1024/29 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 1024/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16384/29 (/.f64 1 (pow.f64 x 3))) (*.f64 64/29 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 1024/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16384/29 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 262144/29 (/.f64 1 (pow.f64 x 4))) (.f64 64/29 (/.f64 1 x))))))
(/.f64 -64/29 x)
(neg.f64 (+.f64 (.f64 64/29 (/.f64 1 x)) (.f64 1024/29 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 1024/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16384/29 (/.f64 1 (pow.f64 x 3))) (*.f64 64/29 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 1024/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16384/29 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 262144/29 (/.f64 1 (pow.f64 x 4))) (.f64 64/29 (/.f64 1 x))))))
29/4
(*.f64 -29/64 x)
(*.f64 -29/64 x)
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 -29/64 x 29/4))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -29/64 x 29/4)))
(*.f64 (/.f64 1 (fma.f64 -29/64 x 29/4)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -29/64 x 29/4))) (cbrt.f64 (pow.f64 (fma.f64 -29/64 x 29/4) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -29/64 x 29/4) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -29/64 x 29/4))))
(*.f64 (pow.f64 (fma.f64 -29/64 x 29/4) -1/2) (pow.f64 (fma.f64 -29/64 x 29/4) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -29/64 x 29/4))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -29/64 x 29/4)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -29/64 x 29/4)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -29/64 x 29/4)) -1) (pow.f64 (sqrt.f64 (fma.f64 -29/64 x 29/4)) -1))
(.f64 (/.f64 1 (+.f64 (.f64 -24389/262144 (pow.f64 x 3)) 24389/64)) (+.f64 841/16 (-.f64 (pow.f64 (.f64 -29/64 x) 2) (.f64 -841/256 x))))
(.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 -29/64 x) 2))) (-.f64 29/4 (*.f64 -29/64 x)))
(pow.f64 (fma.f64 -29/64 x 29/4) -1)
(pow.f64 (/.f64 1 (fma.f64 -29/64 x 29/4)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -29/64 x 29/4))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -29/64 x 29/4)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 -29/64 x 29/4) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 -29/64 x 29/4) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -29/64 x 29/4))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -29/64 x 29/4)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -29/64 x 29/4))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -29/64 x 29/4))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -29/64 x 29/4))))
(-.f64 (+.f64 1 (fma.f64 -29/64 x 29/4)) 1)
(-.f64 (/.f64 841/16 (-.f64 29/4 (.f64 -29/64 x))) (/.f64 (pow.f64 (.f64 -29/64 x) 2) (-.f64 29/4 (*.f64 -29/64 x))))
(*.f64 1 (fma.f64 -29/64 x 29/4))
(*.f64 (fma.f64 -29/64 x 29/4) 1)
(*.f64 (cbrt.f64 (fma.f64 -29/64 x 29/4)) (pow.f64 (cbrt.f64 (fma.f64 -29/64 x 29/4)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -29/64 x 29/4)) 2) (cbrt.f64 (fma.f64 -29/64 x 29/4)))
(*.f64 (sqrt.f64 (fma.f64 -29/64 x 29/4)) (sqrt.f64 (fma.f64 -29/64 x 29/4)))
(.f64 (+.f64 (.f64 -24389/262144 (pow.f64 x 3)) 24389/64) (/.f64 1 (+.f64 841/16 (-.f64 (pow.f64 (.f64 -29/64 x) 2) (.f64 -841/256 x)))))
(.f64 (-.f64 841/16 (pow.f64 (.f64 -29/64 x) 2)) (/.f64 1 (-.f64 29/4 (*.f64 -29/64 x))))
(/.f64 1 (/.f64 1 (fma.f64 -29/64 x 29/4)))
(/.f64 1 (/.f64 (+.f64 841/16 (-.f64 (pow.f64 (.f64 -29/64 x) 2) (.f64 -841/256 x))) (+.f64 (*.f64 -24389/262144 (pow.f64 x 3)) 24389/64)))
(/.f64 1 (/.f64 (-.f64 29/4 (.f64 -29/64 x)) (-.f64 841/16 (pow.f64 (.f64 -29/64 x) 2))))
(/.f64 (fma.f64 -29/64 x 29/4) 1)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -29/64 x 29/4)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -29/64 x 29/4))))
(/.f64 (sqrt.f64 (fma.f64 -29/64 x 29/4)) (pow.f64 (fma.f64 -29/64 x 29/4) -1/2))
(/.f64 (neg.f64 (fma.f64 -29/64 x 29/4)) -1)
(/.f64 (+.f64 (.f64 -24389/262144 (pow.f64 x 3)) 24389/64) (+.f64 841/16 (-.f64 (pow.f64 (.f64 -29/64 x) 2) (*.f64 -841/256 x))))
(/.f64 (+.f64 (.f64 -24389/262144 (pow.f64 x 3)) 24389/64) (+.f64 (pow.f64 (.f64 -29/64 x) 2) (-.f64 841/16 (*.f64 -841/256 x))))
(/.f64 (-.f64 841/16 (pow.f64 (.f64 -29/64 x) 2)) (-.f64 29/4 (.f64 -29/64 x)))
(/.f64 (neg.f64 (+.f64 (.f64 -24389/262144 (pow.f64 x 3)) 24389/64)) (neg.f64 (+.f64 841/16 (-.f64 (pow.f64 (.f64 -29/64 x) 2) (*.f64 -841/256 x)))))
(/.f64 (neg.f64 (-.f64 841/16 (pow.f64 (.f64 -29/64 x) 2))) (neg.f64 (-.f64 29/4 (.f64 -29/64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 -29/64 x) 2) 841/16) (-.f64 (.f64 -29/64 x) 29/4))
(pow.f64 (fma.f64 -29/64 x 29/4) 1)
(pow.f64 (cbrt.f64 (fma.f64 -29/64 x 29/4)) 3)
(pow.f64 (pow.f64 (fma.f64 -29/64 x 29/4) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -29/64 x 29/4)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -29/64 x 29/4) 2))
(log.f64 (exp.f64 (fma.f64 -29/64 x 29/4)))
(cbrt.f64 (pow.f64 (fma.f64 -29/64 x 29/4) 3))
(expm1.f64 (log1p.f64 (fma.f64 -29/64 x 29/4)))
(exp.f64 (log.f64 (fma.f64 -29/64 x 29/4)))
(log1p.f64 (expm1.f64 (fma.f64 -29/64 x 29/4)))
(fma.f64 1 (*.f64 -29/64 x) 29/4)
(fma.f64 -29/64 x 29/4)
(fma.f64 x -29/64 29/4)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -29/64 x)) 2) (cbrt.f64 (.f64 -29/64 x)) 29/4)
(fma.f64 (sqrt.f64 (.f64 -29/64 x)) (sqrt.f64 (.f64 -29/64 x)) 29/4)

Outputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (+.f64 (.f64 1/1856 (pow.f64 x 2)) (.f64 1/116 x)))
(+.f64 4/29 (fma.f64 1/1856 (.f64 x x) (.f64 1/116 x)))
(+.f64 (fma.f64 1/116 x 4/29) (.f64 x (.f64 x 1/1856)))
(fma.f64 1/116 x (fma.f64 x (*.f64 x 1/1856) 4/29))
(+.f64 4/29 (+.f64 (.f64 1/29696 (pow.f64 x 3)) (+.f64 (.f64 1/1856 (pow.f64 x 2)) (*.f64 1/116 x))))
(+.f64 4/29 (fma.f64 1/29696 (pow.f64 x 3) (fma.f64 1/1856 (.f64 x x) (.f64 1/116 x))))
(+.f64 (fma.f64 1/29696 (pow.f64 x 3) (.f64 x (.f64 x 1/1856))) (fma.f64 1/116 x 4/29))
(fma.f64 1/29696 (pow.f64 x 3) (fma.f64 1/116 x (fma.f64 x (*.f64 x 1/1856) 4/29)))
(/.f64 -64/29 x)
(neg.f64 (+.f64 (.f64 64/29 (/.f64 1 x)) (.f64 1024/29 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 64/29 x) (/.f64 1024/29 (*.f64 x x))))
(+.f64 (/.f64 -1024/29 (*.f64 x x)) (/.f64 -64/29 x))
(neg.f64 (+.f64 (.f64 1024/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 16384/29 (/.f64 1 (pow.f64 x 3))) (*.f64 64/29 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1024/29 (*.f64 x x)) (+.f64 (/.f64 64/29 x) (/.f64 16384/29 (pow.f64 x 3)))))
(-.f64 (/.f64 -1024/29 (*.f64 x x)) (+.f64 (/.f64 64/29 x) (/.f64 16384/29 (pow.f64 x 3))))
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(/.f64 (-.f64 841/16 (.f64 (.f64 x x) 841/4096)) (+.f64 29/4 (*.f64 x 29/64)))
(/.f64 (fma.f64 (*.f64 x x) 841/4096 -841/16) (fma.f64 x -29/64 -29/4))
(pow.f64 (fma.f64 -29/64 x 29/4) 1)
(+.f64 1 (-.f64 (fma.f64 x -29/64 29/4) 1))
(+.f64 (fma.f64 x -29/64 29/4) 0)
(fma.f64 x -29/64 29/4)
(pow.f64 (cbrt.f64 (fma.f64 -29/64 x 29/4)) 3)
(+.f64 1 (-.f64 (fma.f64 x -29/64 29/4) 1))
(+.f64 (fma.f64 x -29/64 29/4) 0)
(fma.f64 x -29/64 29/4)
(pow.f64 (pow.f64 (fma.f64 -29/64 x 29/4) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 x -29/64 29/4) 1))
(+.f64 (fma.f64 x -29/64 29/4) 0)
(fma.f64 x -29/64 29/4)
(pow.f64 (sqrt.f64 (fma.f64 -29/64 x 29/4)) 2)
(+.f64 1 (-.f64 (fma.f64 x -29/64 29/4) 1))
(+.f64 (fma.f64 x -29/64 29/4) 0)
(fma.f64 x -29/64 29/4)
(sqrt.f64 (pow.f64 (fma.f64 -29/64 x 29/4) 2))
(+.f64 1 (-.f64 (fma.f64 x -29/64 29/4) 1))
(+.f64 (fma.f64 x -29/64 29/4) 0)
(fma.f64 x -29/64 29/4)
(log.f64 (exp.f64 (fma.f64 -29/64 x 29/4)))
(+.f64 1 (-.f64 (fma.f64 x -29/64 29/4) 1))
(+.f64 (fma.f64 x -29/64 29/4) 0)
(fma.f64 x -29/64 29/4)
(cbrt.f64 (pow.f64 (fma.f64 -29/64 x 29/4) 3))
(+.f64 1 (-.f64 (fma.f64 x -29/64 29/4) 1))
(+.f64 (fma.f64 x -29/64 29/4) 0)
(fma.f64 x -29/64 29/4)
(expm1.f64 (log1p.f64 (fma.f64 -29/64 x 29/4)))
(+.f64 1 (-.f64 (fma.f64 x -29/64 29/4) 1))
(+.f64 (fma.f64 x -29/64 29/4) 0)
(fma.f64 x -29/64 29/4)
(exp.f64 (log.f64 (fma.f64 -29/64 x 29/4)))
(+.f64 1 (-.f64 (fma.f64 x -29/64 29/4) 1))
(+.f64 (fma.f64 x -29/64 29/4) 0)
(fma.f64 x -29/64 29/4)
(log1p.f64 (expm1.f64 (fma.f64 -29/64 x 29/4)))
(+.f64 1 (-.f64 (fma.f64 x -29/64 29/4) 1))
(+.f64 (fma.f64 x -29/64 29/4) 0)
(fma.f64 x -29/64 29/4)
(fma.f64 1 (*.f64 -29/64 x) 29/4)
(+.f64 1 (-.f64 (fma.f64 x -29/64 29/4) 1))
(+.f64 (fma.f64 x -29/64 29/4) 0)
(fma.f64 x -29/64 29/4)
(fma.f64 -29/64 x 29/4)
(+.f64 1 (-.f64 (fma.f64 x -29/64 29/4) 1))
(+.f64 (fma.f64 x -29/64 29/4) 0)
(fma.f64 x -29/64 29/4)
(fma.f64 x -29/64 29/4)
(+.f64 1 (-.f64 (fma.f64 x -29/64 29/4) 1))
(+.f64 (fma.f64 x -29/64 29/4) 0)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -29/64 x)) 2) (cbrt.f64 (.f64 -29/64 x)) 29/4)
(+.f64 1 (-.f64 (fma.f64 x -29/64 29/4) 1))
(+.f64 (fma.f64 x -29/64 29/4) 0)
(fma.f64 x -29/64 29/4)
(fma.f64 (sqrt.f64 (.f64 -29/64 x)) (sqrt.f64 (.f64 -29/64 x)) 29/4)
(+.f64 1 (-.f64 (fma.f64 x -29/64 29/4) 1))
(+.f64 (fma.f64 x -29/64 29/4) 0)
(fma.f64 x -29/64 29/4)

eval36.0ms (1.3%)

Compiler: Compiled 1344 to 1108 computations (17.6% saved)

prune15.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	107	4	111

Accuracy

100.0%

Counts

111 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(/.f64 1 (+.f64 29/4 (*.f64 -29/64 x)))
✓	100.0%	(-.f64 (/.f64 x 116) -4/29)
✓	51.1%	(*.f64 1/116 x)
	51.1%	4/29
✓	51.0%	(/.f64 1 (+.f64 29/4 (*.f64 -29/64 x)))
✓	100.0%	(-.f64 (/.f64 x 116) -4/29)
✓	51.1%	(*.f64 1/116 x)
	51.1%	4/29

Compiler

Compiled 40 to 34 computations (15% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

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
✓	51.0%	(/.f64 1 (+.f64 29/4 (*.f64 -29/64 x)))
✓	100.0%	(-.f64 (/.f64 x 116) -4/29)
✓	51.1%	(*.f64 1/116 x)
	51.1%	4/29

Compiler

Compiled 63 to 52 computations (17.5% saved)

regimes13.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

Inputs
4/29
(*.f64 1/116 x)
(-.f64 (/.f64 x 116) -4/29)
(/.f64 (+.f64 x 16) 116)
(/.f64 1 (+.f64 29/4 (*.f64 -29/64 x)))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/13456) (+.f64 16/841 (.f64 x -1/841))) (+.f64 (.f64 (pow.f64 x 3) 1/1560896) 64/24389)))

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

Calls

3 calls:

5.0ms	x
4.0ms	(/.f64 (+.f64 x 16) 116)
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 55 to 44 computations (20% saved)

regimes10.0ms (0.4%)

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
98.7%	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
4/29

Outputs
4/29

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
51.1%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch32.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2444568993824077	3576446004716247.5
16.0ms	-14398947011460778.0	-4.8312656652702395e-5

Results

27.0ms

336×

body

256

valid

Compiler

Compiled 178 to 155 computations (12.9% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	47
1	28	47
2	33	47
3	35	47
4	36	47

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Compiler

Compiled 24 to 19 computations (20.8% saved)

soundness21.0ms (0.8%)

Rules

36×	`fma-def`
30×	`sub-neg`
22×	`div-sub`
20×	`+-commutative`
12×	`*-commutative`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	17	39
2	25	39
3	41	39
4	56	39
5	83	39
6	126	39
7	156	35
8	172	35
9	175	35

Stop Event

1×

saturated

Compiler

Compiled 45 to 38 computations (15.6% saved)

end0.0ms (0%)

preprocess31.0ms (1.2%)

Compiler: Compiled 56 to 44 computations (21.4% saved)

analyze0.0ms (0%)

sample832.0ms (31.6%)

preprocess96.0ms (3.6%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize38.0ms (1.4%)

series1.0ms (0.1%)

rewrite90.0ms (3.4%)

simplify82.0ms (3.1%)

eval32.0ms (1.2%)

prune18.0ms (0.7%)

localize197.0ms (7.5%)

series11.0ms (0.4%)

rewrite137.0ms (5.2%)

simplify103.0ms (3.9%)

eval124.0ms (4.7%)

prune332.0ms (12.6%)

localize87.0ms (3.3%)

series3.0ms (0.1%)

rewrite170.0ms (6.4%)

simplify109.0ms (4.1%)

eval36.0ms (1.3%)

prune15.0ms (0.6%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes13.0ms (0.5%)

regimes10.0ms (0.4%)

regimes3.0ms (0.1%)

bsearch32.0ms (1.2%)

simplify6.0ms (0.2%)

soundness21.0ms (0.8%)

end0.0ms (0%)

preprocess31.0ms (1.2%)

Profiling