Metrics for Data.Colour.CIE:cieLABView from colour-2.3.3, A

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 11 to 10 computations (9.1% saved)

sample958.0ms (15.3%)

Results

947.0ms	8242×	body	256	valid
1.0ms	13×	body	256	infinite
0.0ms	1×	body	1024	valid

Bogosity

preprocess23.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

36×	`fma-def`
20×	`sub-neg`
10×	`associate-+l-`
10×	`+-commutative`
8×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	22
1	29	22
2	41	18
3	54	18
4	67	18
5	85	18
6	105	18
7	117	18
8	121	18

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(+.f64 (*.f64 (/.f64 841 108) (neg.f64 x)) (/.f64 4 29))

Outputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 (/.f64 841 108) (neg.f64 x)) (/.f64 4 29))
(fma.f64 841/108 (neg.f64 x) 4/29)
(fma.f64 x -841/108 4/29)

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def`
2×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	17	9
2	18	9

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Outputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(fma.f64 841/108 x 4/29)

eval1.0ms (0%)

Compiler: Compiled 14 to 12 computations (14.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Accurracy

99.9%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 841/108 x 4/29)
▶	99.9%	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
▶	99.9%	(fma.f64 841/108 x 4/29)
▶	99.9%	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Compiler

Compiled 30 to 26 computations (13.3% saved)

localize50.0ms (0.8%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(fma.f64 841/108 x 4/29)
✓	99.8%	(*.f64 (/.f64 841 108) x)

Compiler

Compiled 34 to 29 computations (14.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 841/108 x 4/29)
0.0ms	x	@	-inf	(*.f64 (/.f64 841 108) x)
0.0ms	x	@	0	(*.f64 (/.f64 841 108) x)
0.0ms	x	@	inf	(*.f64 (/.f64 841 108) x)
0.0ms	x	@	inf	(fma.f64 841/108 x 4/29)

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1680×	`pow1`
1568×	`add-exp-log`
1568×	`log1p-expm1-u`
1568×	`expm1-log1p-u`
1536×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	204	16
2	2106	16

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs
(*.f64 (/.f64 841 108) x)
(fma.f64 841/108 x 4/29)

Outputs
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (pow.f64 (*.f64 841/108 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (-.f64 (.f64 707281/11664 (.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1086×	`log-prod`
1060×	`associate-r`
906×	`associate-l`
648×	`fma-neg`
546×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	505
1	167	495
2	687	493
3	4622	493

Stop Event

1×	node limit

Counts

55 → 40

Calls

Call 1

Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (pow.f64 (*.f64 841/108 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (-.f64 (.f64 707281/11664 (.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))

Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(*.f64 841/108 x)
(pow.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(*.f64 841/108 x)
(pow.f64 (pow.f64 (*.f64 841/108 x) 3) 1/3)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 841/108 x)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(fma.f64 841/108 x 4/29)
(*.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(*.f64 1 (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (fma.f64 707281/11664 (.f64 x x) (-.f64 16/841 (.f64 (.f64 841/108 x) 4/29))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x 29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 16/841 (.f64 x (-.f64 29/27 (.f64 x 707281/11664)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (.f64 x (+.f64 (.f64 x 707281/11664) -29/27))))
(/.f64 (-.f64 (.f64 707281/11664 (.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(fma.f64 841/108 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)

eval9.0ms (0.2%)

Compiler: Compiled 378 to 311 computations (17.7% saved)

prune15.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	35	5	40
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	36	6	42

Accurracy

100.0%

Counts

42 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 841/108 x 4/29)
▶	76.1%	(/.f64 (-.f64 (.f64 707281/11664 (.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
▶	98.9%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
▶	99.9%	(+.f64 (*.f64 841/108 x) 4/29)
▶	59.1%	(+.f64 (sqrt.f64 (.f64 707281/11664 (.f64 x x))) (/.f64 4 29))
	49.5%	4/29
✓	99.9%	(fma.f64 841/108 x 4/29)
▶	76.1%	(/.f64 (-.f64 (.f64 707281/11664 (.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
▶	98.9%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
▶	99.9%	(+.f64 (*.f64 841/108 x) 4/29)
▶	59.1%	(+.f64 (sqrt.f64 (.f64 707281/11664 (.f64 x x))) (/.f64 4 29))
	49.5%	4/29

Compiler

Compiled 98 to 82 computations (16.3% saved)

localize123.0ms (2%)

Local Accuracy

Found 11 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 841/108 x) 4/29)
✓	99.8%	(.f64 707281/11664 (.f64 x x))
✓	99.8%	(*.f64 841/108 x)
✓	76.1%	(/.f64 (-.f64 (.f64 707281/11664 (.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
✓	99.8%	(*.f64 841/108 x)
✓	99.0%	(cbrt.f64 (*.f64 841/108 x))
✓	98.8%	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
✓	99.8%	(*.f64 841/108 x)
✓	100.0%	(+.f64 (sqrt.f64 (.f64 707281/11664 (.f64 x x))) (/.f64 4 29))
✓	99.8%	(.f64 707281/11664 (.f64 x x))
✓	53.7%	(sqrt.f64 (.f64 707281/11664 (.f64 x x)))

Compiler

Compiled 116 to 80 computations (31% saved)

series8.0ms (0.1%)

Counts

11 → 63

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
0.0ms	x	@	0	(.f64 707281/11664 (.f64 x x))
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 707281/11664 (.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))

rewrite213.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1352×	`prod-diff`
648×	`expm1-udef`
636×	`log1p-udef`
428×	`add-sqr-sqrt`
414×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	177
1	474	99
2	5794	99

Stop Event

1×	node limit

Counts

11 → 475

Calls

Call 1

Inputs
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(.f64 707281/11664 (.f64 x x))
(+.f64 (sqrt.f64 (.f64 707281/11664 (.f64 x x))) (/.f64 4 29))
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(cbrt.f64 (*.f64 841/108 x))
(*.f64 841/108 x)
(/.f64 (-.f64 (.f64 707281/11664 (.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(*.f64 841/108 x)
(.f64 707281/11664 (.f64 x x))
(-.f64 (*.f64 841/108 x) 4/29)

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(*.f64 x 841/108)
(*.f64 x (pow.f64 707281/11664 1/2))
(.f64 (.f64 x 841/108) 1)
(*.f64 841/108 x)
(.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(.f64 1 (.f64 x 841/108))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 841/108))
(.f64 (cbrt.f64 841/108) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))
(.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 841/108))
(.f64 (pow.f64 (.f64 x 841/108) 1/6) (.f64 (pow.f64 (.f64 x 841/108) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896))) (cbrt.f64 (*.f64 x 841/108)))
(.f64 (sqrt.f64 (.f64 707281/11664 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 841/108) 3) x)
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(fma.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (.f64 x 841/108)) -4/29)

simplify297.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1186×	`fma-neg`
754×	`log-prod`
704×	`times-frac`
620×	`associate-l`
614×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	745	26560
1	1810	21906
2	7000	21864

Stop Event

1×	node limit

Counts

538 → 548

Calls

Call 1

Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 -841/108 x)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
-4/29
(*.f64 841/108 x)
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(*.f64 x 841/108)
(*.f64 x (pow.f64 707281/11664 1/2))
(.f64 (.f64 x 841/108) 1)
(*.f64 841/108 x)
(.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(.f64 1 (.f64 x 841/108))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 841/108))
(.f64 (cbrt.f64 841/108) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))
(.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 841/108))
(.f64 (pow.f64 (.f64 x 841/108) 1/6) (.f64 (pow.f64 (.f64 x 841/108) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896))) (cbrt.f64 (*.f64 x 841/108)))
(.f64 (sqrt.f64 (.f64 707281/11664 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 841/108) 3) x)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) 2) 3) (cbrt.f64 (*.f64 x 841/108)))
(.f64 (pow.f64 (pow.f64 (.f64 x 841/108) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x 841/108) 1/6) 3))
(*.f64 (pow.f64 707281/11664 1/2) x)
(.f64 (pow.f64 1 1/2) (.f64 x 841/108))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 1/2))
(.f64 (pow.f64 (.f64 707281/11664 x) 1/2) (sqrt.f64 x))
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) 1) (cbrt.f64 (.f64 x 841/108)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 841/108)) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (pow.f64 (.f64 x 841/108) 1/6)) (pow.f64 (*.f64 x 841/108) 1/6))
(pow.f64 (.f64 707281/11664 (.f64 x x)) 1/2)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3/2)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(fabs.f64 (*.f64 x 841/108))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(exp.f64 (.f64 (log.f64 (.f64 707281/11664 (*.f64 x x))) 1/2))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(-.f64 (exp.f64 (log1p.f64 (.f64 707281/11664 (.f64 x x)))) 1)
(pow.f64 (.f64 707281/11664 (.f64 x x)) 1)
(pow.f64 (*.f64 x 841/108) 2)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 6)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) 1/2)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (.f64 707281/11664 (.f64 x x)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (.f64 707281/11664 (.f64 x x))))
(exp.f64 (log.f64 (.f64 707281/11664 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 707281/11664 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 707281/11664 (.f64 x x))))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 841/108 4/29))) 1)
(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (/.f64 1 (fma.f64 x 841/108 -4/29)))
(*.f64 (fma.f64 x 841/108 4/29) 1)
(*.f64 1 (fma.f64 x 841/108 4/29))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) 2)) (.f64 (cbrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) (/.f64 1 (fma.f64 x 841/108 -4/29))))
(*.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2) (cbrt.f64 (fma.f64 x 841/108 4/29)))
(.f64 (sqrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) (.f64 (sqrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) (/.f64 1 (fma.f64 x 841/108 -4/29))))
(*.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) (sqrt.f64 (fma.f64 x 841/108 4/29)))
(.f64 (neg.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) (/.f64 1 (neg.f64 (fma.f64 x 841/108 -4/29))))
(.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (-.f64 (fma.f64 (.f64 707281/11664 x) x 16/841) (.f64 x 29/27))))
(.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 707281/11664 (.f64 x x) -16/841))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 841/108 -4/29))) (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) (fma.f64 x 841/108 -4/29)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) 2)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (cbrt.f64 (fma.f64 x 841/108 4/29)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) 2)) (sqrt.f64 (fma.f64 x 841/108 -4/29))) (/.f64 (cbrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) (fma.f64 x 841/108 -4/29)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 (sqrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(.f64 (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (+.f64 (fma.f64 (.f64 707281/11664 x) x 16/841) (*.f64 x 29/27)))
(.f64 (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (fma.f64 707281/11664 (*.f64 x x) -16/841)) (fma.f64 x 841/108 4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 x 841/108 -4/29))
(/.f64 1 (/.f64 1 (fma.f64 x 841/108 4/29)))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 707281/11664 x) x 16/841) (.f64 x 29/27)) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) 2)) (/.f64 (fma.f64 x 841/108 -4/29) (cbrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841))))
(/.f64 (sqrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) (/.f64 (fma.f64 x 841/108 -4/29) (sqrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841))))
(/.f64 (neg.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) (neg.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (-.f64 (fma.f64 (.f64 707281/11664 x) x 16/841) (*.f64 x 29/27)))
(/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (.f64 707281/11664 (.f64 x x)) (.f64 x 29/27))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) -4096/594823321) (.f64 (fma.f64 x 841/108 -4/29) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) (.f64 (.f64 x x) 841/729))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) (.f64 (fma.f64 x 841/108 -4/29) (fma.f64 (*.f64 707281/11664 x) x 16/841)))
(/.f64 -1 (neg.f64 (/.f64 1 (fma.f64 x 841/108 4/29))))
(/.f64 (-.f64 (.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 x 841/108 -4/29)) (.f64 (fma.f64 x 841/108 -4/29) 16/841)) (pow.f64 (fma.f64 x 841/108 -4/29) 2))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) -4096/594823321) 1) (.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) (.f64 (*.f64 x x) 841/729)) (fma.f64 x 841/108 -4/29)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) 1) (.f64 (fma.f64 (.f64 707281/11664 x) x 16/841) (fma.f64 x 841/108 -4/29)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841))) (neg.f64 (neg.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (neg.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (-.f64 (fma.f64 (.f64 707281/11664 x) x 16/841) (*.f64 x 29/27))))
(/.f64 (/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (sqrt.f64 (fma.f64 x 841/108 -4/29))) (sqrt.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (-.f64 (pow.f64 (/.f64 707281/11664 (/.f64 (fma.f64 x 841/108 -4/29) (.f64 x x))) 3) (pow.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) 3)) (+.f64 (.f64 (/.f64 707281/11664 (/.f64 (fma.f64 x 841/108 -4/29) (.f64 x x))) (/.f64 707281/11664 (/.f64 (fma.f64 x 841/108 -4/29) (.f64 x x)))) (+.f64 (.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) (/.f64 16/841 (fma.f64 x 841/108 -4/29))) (.f64 (/.f64 707281/11664 (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 x 841/108 -4/29))))))
(/.f64 (-.f64 16/841 (.f64 707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 x 841/108)))
(/.f64 (-.f64 (.f64 (/.f64 707281/11664 (/.f64 (fma.f64 x 841/108 -4/29) (.f64 x x))) (/.f64 707281/11664 (/.f64 (fma.f64 x 841/108 -4/29) (.f64 x x)))) (.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (+.f64 (/.f64 707281/11664 (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) -4096/594823321) (/.f64 1 (fma.f64 x 841/108 -4/29))) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) (.f64 (.f64 x x) 841/729)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) (/.f64 1 (fma.f64 x 841/108 -4/29))) (fma.f64 (*.f64 707281/11664 x) x 16/841))
(/.f64 (/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) 1) (fma.f64 x 841/108 -4/29))
(/.f64 (/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (cbrt.f64 (fma.f64 x 841/108 -4/29)))
(pow.f64 (fma.f64 x 841/108 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) 2)
(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)
(neg.f64 (/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (neg.f64 (fma.f64 x 841/108 -4/29))))
(sqrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 841/108 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 841/108 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) 3) (pow.f64 (fma.f64 x 841/108 -4/29) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 841/108 4/29)))
(exp.f64 (log.f64 (fma.f64 x 841/108 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 4/29)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 841/108 4/29)))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) 4/29)
(fma.f64 1 (*.f64 x 841/108) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (.f64 x 841/108)) 4/29)
(fma.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (.f64 x 841/108)) 4/29)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(pow.f64 (.f64 707281/11664 (.f64 x x)) 1/2)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3/2)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(fabs.f64 (*.f64 x 841/108))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(exp.f64 (.f64 (log.f64 (.f64 707281/11664 (*.f64 x x))) 1/2))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(*.f64 x 841/108)
(*.f64 x (pow.f64 707281/11664 1/2))
(.f64 (.f64 x 841/108) 1)
(*.f64 841/108 x)
(.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(.f64 1 (.f64 x 841/108))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 841/108))
(.f64 (cbrt.f64 841/108) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))
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(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(fabs.f64 (*.f64 x 841/108))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(exp.f64 (.f64 (log.f64 (.f64 707281/11664 (*.f64 x x))) 1/2))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(-.f64 (exp.f64 (log1p.f64 (.f64 707281/11664 (.f64 x x)))) 1)
(pow.f64 (.f64 707281/11664 (.f64 x x)) 1)
(pow.f64 (*.f64 x 841/108) 2)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 6)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) 1/2)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (.f64 707281/11664 (.f64 x x)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (.f64 707281/11664 (.f64 x x))))
(exp.f64 (log.f64 (.f64 707281/11664 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 707281/11664 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 707281/11664 (.f64 x x))))
(+.f64 (*.f64 x 841/108) -4/29)
(+.f64 -4/29 (*.f64 x 841/108))
(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (/.f64 1 (fma.f64 x 841/108 4/29)))
(*.f64 (fma.f64 x 841/108 -4/29) 1)
(*.f64 1 (fma.f64 x 841/108 -4/29))
(*.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (cbrt.f64 (fma.f64 x 841/108 -4/29)))
(*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (sqrt.f64 (fma.f64 x 841/108 -4/29)))
(.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (/.f64 1 (+.f64 (fma.f64 (.f64 707281/11664 x) x 16/841) (.f64 x 29/27))))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 x 841/108 4/29))
(/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (-.f64 (.f64 x 841/108) -4/29))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (.f64 707281/11664 x) x 16/841) (.f64 x 29/27)) (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)))
(/.f64 1 (/.f64 (fma.f64 x 841/108 4/29) (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(/.f64 (neg.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) (neg.f64 (fma.f64 x 841/108 4/29)))
(/.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (+.f64 (fma.f64 (.f64 707281/11664 x) x 16/841) (*.f64 x 29/27)))
(/.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 (*.f64 x 841/108) -4/29))))
(/.f64 (neg.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (neg.f64 (+.f64 (fma.f64 (.f64 707281/11664 x) x 16/841) (*.f64 x 29/27))))
(pow.f64 (fma.f64 x 841/108 -4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 841/108 -4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 841/108 -4/29))))
(cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 841/108 -4/29)))
(exp.f64 (log.f64 (fma.f64 x 841/108 -4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 -4/29)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 841/108 -4/29)))
(fma.f64 x 841/108 -4/29)
(fma.f64 841/108 x -4/29)
(fma.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) -4/29)
(fma.f64 1 (*.f64 x 841/108) -4/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (.f64 x 841/108)) -4/29)
(fma.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (.f64 x 841/108)) -4/29)

Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 (*.f64 x -841/108) 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 (*.f64 x -841/108) 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 (*.f64 x -841/108) 4/29)
(fma.f64 x -841/108 4/29)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
-4/29
(*.f64 841/108 x)
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x (pow.f64 707281/11664 1/2))
(*.f64 841/108 x)
(.f64 (.f64 x 841/108) 1)
(*.f64 841/108 x)
(*.f64 841/108 x)
(.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(*.f64 841/108 x)
(.f64 1 (.f64 x 841/108))
(*.f64 841/108 x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 841/108))
(*.f64 841/108 x)
(.f64 (cbrt.f64 841/108) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))
(.f64 (cbrt.f64 841/108) (.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 841/108)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))
(*.f64 841/108 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 841/108))
(*.f64 841/108 x)
(.f64 (pow.f64 (.f64 x 841/108) 1/6) (.f64 (pow.f64 (.f64 x 841/108) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))
(*.f64 841/108 x)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896))) (cbrt.f64 (*.f64 x 841/108)))
(.f64 (cbrt.f64 (.f64 841/108 x)) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))))
(.f64 (sqrt.f64 (.f64 707281/11664 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 707281/11664)))
(*.f64 (pow.f64 (cbrt.f64 841/108) 3) x)
(*.f64 841/108 x)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) 2) 3) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(.f64 (pow.f64 (pow.f64 (.f64 x 841/108) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x 841/108) 1/6) 3))
(*.f64 841/108 x)
(*.f64 (pow.f64 707281/11664 1/2) x)
(*.f64 841/108 x)
(.f64 (pow.f64 1 1/2) (.f64 x 841/108))
(*.f64 841/108 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896))) (fabs.f64 (cbrt.f64 (*.f64 841/108 x))))
(.f64 (pow.f64 (.f64 707281/11664 x) 1/2) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 707281/11664)))
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 841/108 x)
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 841/108 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) 1) (cbrt.f64 (.f64 x 841/108)))
(*.f64 841/108 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 841/108)) (cbrt.f64 x))
(.f64 (cbrt.f64 841/108) (.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 841/108)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))))
(*.f64 841/108 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (pow.f64 (.f64 x 841/108) 1/6)) (pow.f64 (*.f64 x 841/108) 1/6))
(*.f64 841/108 x)
(pow.f64 (.f64 707281/11664 (.f64 x x)) 1/2)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(sqrt.f64 (.f64 x (.f64 x 707281/11664)))
(pow.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(*.f64 841/108 x)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 3/2)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(*.f64 841/108 x)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(fabs.f64 (*.f64 x 841/108))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(*.f64 841/108 x)
(exp.f64 (.f64 (log.f64 (.f64 707281/11664 (*.f64 x x))) 1/2))
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(sqrt.f64 (.f64 x (.f64 x 707281/11664)))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (.f64 707281/11664 (.f64 x x)))) 1)
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(pow.f64 (.f64 707281/11664 (.f64 x x)) 1)
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(pow.f64 (*.f64 x 841/108) 2)
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 6)
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3)
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(pow.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))
(cbrt.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944))
(sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 707281/11664))
(*.f64 707281/11664 (log.f64 (pow.f64 (exp.f64 x) x)))
(.f64 707281/11664 (.f64 x (log.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 707281/11664 (.f64 x x)))))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))
(cbrt.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (.f64 707281/11664 (.f64 x x))))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(exp.f64 (log.f64 (.f64 707281/11664 (.f64 x x))))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(exp.f64 (.f64 (log.f64 (.f64 707281/11664 (*.f64 x x))) 1))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(log1p.f64 (expm1.f64 (.f64 707281/11664 (.f64 x x))))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
(+.f64 (.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (.f64 x x)) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 841/108 4/29))) 1)
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(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x 4/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x 4/29))
(*.f64 (fma.f64 x 841/108 -4/29) 1)
(fma.f64 841/108 x -4/29)
(*.f64 1 (fma.f64 x 841/108 -4/29))
(fma.f64 841/108 x -4/29)
(*.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2))
(fma.f64 841/108 x -4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (cbrt.f64 (fma.f64 x 841/108 -4/29)))
(fma.f64 841/108 x -4/29)
(*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (sqrt.f64 (fma.f64 x 841/108 -4/29)))
(fma.f64 841/108 x -4/29)
(.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (/.f64 1 (+.f64 (fma.f64 (.f64 707281/11664 x) x 16/841) (.f64 x 29/27))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (.f64 x 707281/11664) x 16/841) (.f64 x 29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389) (fma.f64 x 29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 x 841/108 4/29))
(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x 4/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x 4/29))
(/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (-.f64 (.f64 x 841/108) -4/29))
(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x 4/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x 4/29))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (.f64 707281/11664 x) x 16/841) (.f64 x 29/27)) (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (.f64 x 707281/11664) x 16/841) (.f64 x 29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389) (fma.f64 x 29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 1 (/.f64 (fma.f64 x 841/108 4/29) (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x 4/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x 4/29))
(/.f64 (neg.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) (neg.f64 (fma.f64 x 841/108 4/29)))
(/.f64 (neg.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) (neg.f64 (fma.f64 841/108 x 4/29)))
(.f64 1 (/.f64 (fma.f64 (.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x 4/29)))
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 x -841/108 -4/29))
(/.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (+.f64 (fma.f64 (.f64 707281/11664 x) x 16/841) (*.f64 x 29/27)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (.f64 x 707281/11664) x 16/841) (.f64 x 29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389) (fma.f64 x 29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 (*.f64 x 841/108) -4/29))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (.f64 x 707281/11664) x 16/841) (.f64 x 29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389) (fma.f64 x 29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (neg.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (neg.f64 (+.f64 (fma.f64 (.f64 707281/11664 x) x 16/841) (*.f64 x 29/27))))
(/.f64 (neg.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)) (neg.f64 (+.f64 (fma.f64 (.f64 x 707281/11664) x 16/841) (.f64 x 29/27))))
(.f64 1 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389) (fma.f64 x 29/27 (fma.f64 707281/11664 (.f64 x x) 16/841))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (-.f64 (.f64 x -29/27) (fma.f64 707281/11664 (.f64 x x) 16/841)))
(pow.f64 (fma.f64 x 841/108 -4/29) 1)
(fma.f64 841/108 x -4/29)
(pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 3)
(fma.f64 841/108 x -4/29)
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3) 1/3)
(fma.f64 841/108 x -4/29)
(pow.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 2)
(fma.f64 841/108 x -4/29)
(sqrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 2))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2))
(fabs.f64 (fma.f64 841/108 x -4/29))
(log.f64 (exp.f64 (fma.f64 x 841/108 -4/29)))
(fma.f64 841/108 x -4/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 841/108 -4/29))))
(fma.f64 841/108 x -4/29)
(cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3))
(fma.f64 841/108 x -4/29)
(expm1.f64 (log1p.f64 (fma.f64 x 841/108 -4/29)))
(fma.f64 841/108 x -4/29)
(exp.f64 (log.f64 (fma.f64 x 841/108 -4/29)))
(fma.f64 841/108 x -4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 -4/29)) 1))
(fma.f64 841/108 x -4/29)
(log1p.f64 (expm1.f64 (fma.f64 x 841/108 -4/29)))
(fma.f64 841/108 x -4/29)
(fma.f64 x 841/108 -4/29)
(fma.f64 841/108 x -4/29)
(fma.f64 841/108 x -4/29)
(fma.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) -4/29)
(fma.f64 841/108 x -4/29)
(fma.f64 1 (*.f64 x 841/108) -4/29)
(fma.f64 841/108 x -4/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (.f64 x 841/108)) -4/29)
(fma.f64 841/108 x -4/29)
(fma.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (.f64 x 841/108)) -4/29)
(fma.f64 841/108 x -4/29)

eval1.3s (20%)

Compiler: Compiled 20602 to 16332 computations (20.7% saved)

prune130.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	566	3	569
Fresh	0	1	1
Picked	3	1	4
Done	0	1	1
Total	569	6	575

Accurracy

100.0%

Counts

575 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 841/108 x 4/29)
▶	76.1%	(/.f64 (-.f64 (.f64 x (.f64 x 707281/11664)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
▶	99.8%	(/.f64 1 (/.f64 1 (fma.f64 x 841/108 4/29)))
▶	99.5%	(+.f64 (*.f64 (pow.f64 (cbrt.f64 841/108) 3) x) (/.f64 4 29))
✓	99.9%	(+.f64 (*.f64 841/108 x) 4/29)
	49.5%	4/29
✓	99.9%	(fma.f64 841/108 x 4/29)
▶	76.1%	(/.f64 (-.f64 (.f64 x (.f64 x 707281/11664)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
▶	99.8%	(/.f64 1 (/.f64 1 (fma.f64 x 841/108 4/29)))
▶	99.5%	(+.f64 (*.f64 (pow.f64 (cbrt.f64 841/108) 3) x) (/.f64 4 29))
✓	99.9%	(+.f64 (*.f64 841/108 x) 4/29)
	49.5%	4/29

Compiler

Compiled 94 to 80 computations (14.9% saved)

localize161.0ms (2.6%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(*.f64 841/108 x)
✓	99.7%	(*.f64 x 707281/11664)
✓	99.7%	(.f64 x (.f64 x 707281/11664))
✓	76.1%	(/.f64 (-.f64 (.f64 x (.f64 x 707281/11664)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
✓	99.9%	(fma.f64 x 841/108 4/29)
✓	99.8%	(/.f64 1 (fma.f64 x 841/108 4/29))
✓	99.8%	(/.f64 1 (/.f64 1 (fma.f64 x 841/108 4/29)))
✓	99.8%	(*.f64 (pow.f64 (cbrt.f64 841/108) 3) x)
✓	98.4%	(pow.f64 (cbrt.f64 841/108) 3)

Compiler

Compiled 95 to 77 computations (18.9% saved)

series5.0ms (0.1%)

Counts

9 → 84

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(*.f64 x 707281/11664)
0.0ms	x	@	0	(/.f64 1 (/.f64 1 (fma.f64 x 841/108 4/29)))
0.0ms	x	@	0	(*.f64 x 707281/11664)
0.0ms	x	@	inf	(/.f64 1 (fma.f64 x 841/108 4/29))
0.0ms	x	@	inf	(*.f64 x 707281/11664)

rewrite298.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`log-prod`
962×	`fma-def`
670×	`expm1-udef`
660×	`log1p-udef`
638×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	77
1	507	77
2	5591	77

Stop Event

1×	node limit

Counts

9 → 693

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 841/108) 3)
(*.f64 (pow.f64 (cbrt.f64 841/108) 3) x)
(/.f64 1 (/.f64 1 (fma.f64 x 841/108 4/29)))
(/.f64 1 (fma.f64 x 841/108 4/29))
(fma.f64 x 841/108 4/29)
(/.f64 (-.f64 (.f64 x (.f64 x 707281/11664)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(.f64 x (.f64 x 707281/11664))
(*.f64 x 707281/11664)
(*.f64 841/108 x)

Outputs
841/108
(+.f64 0 (*.f64 841/108 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)) (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(pow.f64 (pow.f64 (*.f64 841/108 x) 2) 1/2)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (.f64 (log.f64 (.f64 841/108 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (fma.f64 841/108 x 4/29) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (sqrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 0 (fma.f64 841/108 x 4/29))
(+.f64 (/.f64 (pow.f64 (*.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(+.f64 (fma.f64 1 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (neg.f64 (.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 1))) (fma.f64 (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) 1 (*.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 1)))
(+.f64 (fma.f64 1 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (neg.f64 (.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) 16/841))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 841/108 x -4/29))) 16/841 (*.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) 16/841)))
(+.f64 (fma.f64 1 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (neg.f64 (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)))))))
(+.f64 (fma.f64 1 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (neg.f64 (.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x 29/27 16/841)) (/.f64 16/841 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389))))) (fma.f64 (neg.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x 29/27 16/841))) (/.f64 16/841 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)) (.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x 29/27 16/841)) (/.f64 16/841 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)))))
(+.f64 (fma.f64 1 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (neg.f64 (.f64 (fma.f64 841/108 x 4/29) (/.f64 16/841 (fma.f64 707281/11664 (.f64 x x) -16/841))))) (fma.f64 (neg.f64 (fma.f64 841/108 x 4/29)) (/.f64 16/841 (fma.f64 707281/11664 (.f64 x x) -16/841)) (.f64 (fma.f64 841/108 x 4/29) (/.f64 16/841 (fma.f64 707281/11664 (.f64 x x) -16/841)))))
(+.f64 (fma.f64 (pow.f64 (.f64 841/108 x) 2) (/.f64 1 (fma.f64 841/108 x -4/29)) (neg.f64 (.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 1))) (fma.f64 (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) 1 (*.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 1)))
(+.f64 (fma.f64 (pow.f64 (.f64 841/108 x) 2) (/.f64 1 (fma.f64 841/108 x -4/29)) (neg.f64 (.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) 16/841))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 841/108 x -4/29))) 16/841 (*.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) 16/841)))
(+.f64 (fma.f64 (pow.f64 (.f64 841/108 x) 2) (/.f64 1 (fma.f64 841/108 x -4/29)) (neg.f64 (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)))))))
(+.f64 (fma.f64 (pow.f64 (.f64 841/108 x) 2) (/.f64 1 (fma.f64 841/108 x -4/29)) (neg.f64 (.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x 29/27 16/841)) (/.f64 16/841 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389))))) (fma.f64 (neg.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x 29/27 16/841))) (/.f64 16/841 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)) (.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x 29/27 16/841)) (/.f64 16/841 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)))))
(+.f64 (fma.f64 (pow.f64 (.f64 841/108 x) 2) (/.f64 1 (fma.f64 841/108 x -4/29)) (neg.f64 (.f64 (fma.f64 841/108 x 4/29) (/.f64 16/841 (fma.f64 707281/11664 (.f64 x x) -16/841))))) (fma.f64 (neg.f64 (fma.f64 841/108 x 4/29)) (/.f64 16/841 (fma.f64 707281/11664 (.f64 x x) -16/841)) (.f64 (fma.f64 841/108 x 4/29) (/.f64 16/841 (fma.f64 707281/11664 (.f64 x x) -16/841)))))
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(fma.f64 (sqrt.f64 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29))) (sqrt.f64 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 x 1) (/.f64 (*.f64 x 707281/11664) (fma.f64 841/108 x -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2))) (/.f64 (*.f64 x 707281/11664) (cbrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (*.f64 x 707281/11664) (sqrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (*.f64 x 707281/11664) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 x (sqrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2))) (/.f64 (pow.f64 (*.f64 841/108 x) 2) (cbrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (pow.f64 (*.f64 841/108 x) 2) (sqrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (*.f64 x 707281/11664) 1) (/.f64 x (fma.f64 841/108 x -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (*.f64 x 707281/11664) (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2))) (/.f64 x (cbrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 2) 2)) 1) (/.f64 (cbrt.f64 (pow.f64 (.f64 841/108 x) 2)) (fma.f64 841/108 x -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 2) 2)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2))) (/.f64 (cbrt.f64 (pow.f64 (.f64 841/108 x) 2)) (cbrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 2) 2)) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (cbrt.f64 (pow.f64 (.f64 841/108 x) 2)) (sqrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (*.f64 x x) 1) (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2))) (/.f64 707281/11664 (cbrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 707281/11664 (sqrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (.f64 841/108 x) 1) (/.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (.f64 841/108 x) (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2))) (/.f64 (.f64 841/108 x) (cbrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (.f64 841/108 x) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (.f64 841/108 x) (sqrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)
(fma.f64 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x 29/27 16/841)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 707281/11664 (.f64 x x) -16/841)) (fma.f64 841/108 x 4/29) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(+.f64 0 (pow.f64 (*.f64 841/108 x) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 841/108 x) 2))) 1)
(pow.f64 (pow.f64 (*.f64 841/108 x) 2) 1)
(pow.f64 (*.f64 841/108 x) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 841/108 x) 2)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 841/108 x) 2) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 841/108 x) 2))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 841/108 x) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 841/108 x) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 841/108 x) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 841/108 x) 2)))
(+.f64 0 (*.f64 x 707281/11664))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 707281/11664)) (cbrt.f64 (pow.f64 (exp.f64 x) 707281/11664)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 707281/11664))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 707281/11664))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 707281/11664))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 707281/11664))) 1)
(pow.f64 (*.f64 x 707281/11664) 1)
(pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 3)
(pow.f64 (pow.f64 (*.f64 x 707281/11664) 3) 1/3)
(pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2)
(sqrt.f64 (.f64 (.f64 x x) 500246412961/136048896))
(log.f64 (pow.f64 (exp.f64 x) 707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 707281/11664))))
(cbrt.f64 (pow.f64 (*.f64 x 707281/11664) 3))
(expm1.f64 (log1p.f64 (*.f64 x 707281/11664)))
(exp.f64 (log.f64 (*.f64 x 707281/11664)))
(exp.f64 (.f64 (log.f64 (.f64 x 707281/11664)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 707281/11664)))
(+.f64 0 (*.f64 841/108 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)) (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(pow.f64 (pow.f64 (*.f64 841/108 x) 2) 1/2)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (.f64 (log.f64 (.f64 841/108 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))

simplify1.3s (21.3%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-neg`
476×	`log-prod`
470×	`+-commutative`
444×	`associate-/l*`
442×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	759	60023
1	1808	48907
2	6200	48899

Stop Event

1×	node limit

Counts

777 → 539

Calls

Call 1

Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(+.f64 29/4 (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x)))
(+.f64 29/4 (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
841/108
(+.f64 0 (*.f64 841/108 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)) (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(pow.f64 (pow.f64 (*.f64 841/108 x) 2) 1/2)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (.f64 (log.f64 (.f64 841/108 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (fma.f64 841/108 x 4/29) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (sqrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 0 (fma.f64 841/108 x 4/29))
(+.f64 (/.f64 (pow.f64 (*.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(+.f64 (fma.f64 1 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (neg.f64 (.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 1))) (fma.f64 (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) 1 (*.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 1)))
(+.f64 (fma.f64 1 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (neg.f64 (.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) 16/841))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 841/108 x -4/29))) 16/841 (*.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) 16/841)))
(+.f64 (fma.f64 1 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (neg.f64 (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (cbrt.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)))))))
(+.f64 (fma.f64 1 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (neg.f64 (.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x 29/27 16/841)) (/.f64 16/841 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389))))) (fma.f64 (neg.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x 29/27 16/841))) (/.f64 16/841 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)) (.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x 29/27 16/841)) (/.f64 16/841 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)))))
(+.f64 (fma.f64 1 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (neg.f64 (.f64 (fma.f64 841/108 x 4/29) (/.f64 16/841 (fma.f64 707281/11664 (.f64 x x) -16/841))))) (fma.f64 (neg.f64 (fma.f64 841/108 x 4/29)) (/.f64 16/841 (fma.f64 707281/11664 (.f64 x x) -16/841)) (.f64 (fma.f64 841/108 x 4/29) (/.f64 16/841 (fma.f64 707281/11664 (.f64 x x) -16/841)))))
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(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) 3) (pow.f64 (fma.f64 841/108 x -4/29) 3)))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 1 (/.f64 (pow.f64 (*.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (pow.f64 (*.f64 841/108 x) 2) (/.f64 1 (fma.f64 841/108 x -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (*.f64 841/108 x) 1 4/29)
(fma.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (pow.f64 (.f64 841/108 x) 2)) 4/29)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 841/108 x) 2)) (cbrt.f64 (.f64 841/108 x)) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108) 4/29)
(fma.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (.f64 841/108 x)) 4/29)
(fma.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 841/108 (sqrt.f64 x)) 4/29)
(fma.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29))) (cbrt.f64 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 2) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 841/108 x) 2))) 4/29)
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29))) (sqrt.f64 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 x 1) (/.f64 (*.f64 x 707281/11664) (fma.f64 841/108 x -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2))) (/.f64 (*.f64 x 707281/11664) (cbrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (*.f64 x 707281/11664) (sqrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (*.f64 x 707281/11664) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 x (sqrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2))) (/.f64 (pow.f64 (*.f64 841/108 x) 2) (cbrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (pow.f64 (*.f64 841/108 x) 2) (sqrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (*.f64 x 707281/11664) 1) (/.f64 x (fma.f64 841/108 x -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (*.f64 x 707281/11664) (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2))) (/.f64 x (cbrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 2) 2)) 1) (/.f64 (cbrt.f64 (pow.f64 (.f64 841/108 x) 2)) (fma.f64 841/108 x -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 2) 2)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2))) (/.f64 (cbrt.f64 (pow.f64 (.f64 841/108 x) 2)) (cbrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 2) 2)) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (cbrt.f64 (pow.f64 (.f64 841/108 x) 2)) (sqrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (*.f64 x x) 1) (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2))) (/.f64 707281/11664 (cbrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 707281/11664 (sqrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (.f64 841/108 x) 1) (/.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (.f64 841/108 x) (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2))) (/.f64 (.f64 841/108 x) (cbrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (.f64 841/108 x) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (.f64 841/108 x) (sqrt.f64 (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)
(fma.f64 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x 29/27 16/841)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 (pow.f64 (.f64 841/108 x) 2) (fma.f64 707281/11664 (.f64 x x) -16/841)) (fma.f64 841/108 x 4/29) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(+.f64 0 (pow.f64 (*.f64 841/108 x) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 841/108 x) 2))) 1)
(pow.f64 (pow.f64 (*.f64 841/108 x) 2) 1)
(pow.f64 (*.f64 841/108 x) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 841/108 x) 2)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 841/108 x) 2) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 841/108 x) 2))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 841/108 x) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 841/108 x) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 841/108 x) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 841/108 x) 2)))
(+.f64 0 (*.f64 x 707281/11664))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 707281/11664)) (cbrt.f64 (pow.f64 (exp.f64 x) 707281/11664)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 707281/11664))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 707281/11664))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 707281/11664))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 707281/11664))) 1)
(pow.f64 (*.f64 x 707281/11664) 1)
(pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 3)
(pow.f64 (pow.f64 (*.f64 x 707281/11664) 3) 1/3)
(pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2)
(sqrt.f64 (.f64 (.f64 x x) 500246412961/136048896))
(log.f64 (pow.f64 (exp.f64 x) 707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 707281/11664))))
(cbrt.f64 (pow.f64 (*.f64 x 707281/11664) 3))
(expm1.f64 (log1p.f64 (*.f64 x 707281/11664)))
(exp.f64 (log.f64 (*.f64 x 707281/11664)))
(exp.f64 (.f64 (log.f64 (.f64 x 707281/11664)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 707281/11664)))
(+.f64 0 (*.f64 841/108 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)) (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(pow.f64 (pow.f64 (*.f64 841/108 x) 2) 1/2)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (.f64 (log.f64 (.f64 841/108 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))

Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(+.f64 29/4 (*.f64 x -707281/1728))
(fma.f64 x -707281/1728 29/4)
(+.f64 29/4 (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x)))
(+.f64 29/4 (fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728)))
(+.f64 29/4 (fma.f64 x -707281/1728 (.f64 x (.f64 x 17249876309/746496))))
(+.f64 29/4 (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))))
(+.f64 29/4 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))))
(+.f64 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (.f64 x (.f64 x 17249876309/746496))) (fma.f64 x -707281/1728 29/4))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))) (/.f64 46656/20511149 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))) (/.f64 -46656/20511149 (*.f64 x x)))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))) (/.f64 46656/20511149 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))) (/.f64 -46656/20511149 (*.f64 x x)))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
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841/108
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eval456.0ms (7.3%)

Compiler: Compiled 19079 to 15318 computations (19.7% saved)

prune75.0ms (1.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	538	1	539
Fresh	0	1	1
Picked	1	2	3
Done	0	2	2
Total	539	6	545

Accurracy

100.0%

Counts

545 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 841/108 x 4/29)
✓	76.1%	(/.f64 (-.f64 (.f64 x (.f64 x 707281/11664)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
▶	51.5%	(/.f64 1 (/.f64 108/841 x))
✓	99.5%	(+.f64 (*.f64 (pow.f64 (cbrt.f64 841/108) 3) x) (/.f64 4 29))
✓	99.9%	(+.f64 (*.f64 841/108 x) 4/29)
	49.5%	4/29
✓	99.9%	(fma.f64 841/108 x 4/29)
✓	76.1%	(/.f64 (-.f64 (.f64 x (.f64 x 707281/11664)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
▶	51.5%	(/.f64 1 (/.f64 108/841 x))
✓	99.5%	(+.f64 (*.f64 (pow.f64 (cbrt.f64 841/108) 3) x) (/.f64 4 29))
✓	99.9%	(+.f64 (*.f64 841/108 x) 4/29)
	49.5%	4/29

Compiler

Compiled 88 to 74 computations (15.9% saved)

localize23.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(/.f64 1 (/.f64 108/841 x))
✓	99.5%	(/.f64 108/841 x)

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 108/841 x)
0.0ms	x	@	inf	(/.f64 108/841 x)
0.0ms	x	@	-inf	(/.f64 108/841 x)
0.0ms	x	@	0	(/.f64 1 (/.f64 108/841 x))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 108/841 x))

rewrite78.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`pow1`
1216×	`add-exp-log`
1216×	`log1p-expm1-u`
1216×	`expm1-log1p-u`
1188×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	149	14
2	1750	14

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(/.f64 108/841 x)
(/.f64 1 (/.f64 108/841 x))

Outputs
(-.f64 (+.f64 1 (/.f64 108/841 x)) 1)
(*.f64 108/841 (/.f64 1 x))
(*.f64 (/.f64 108/841 x) 1)
(*.f64 1 (/.f64 108/841 x))
(*.f64 (cbrt.f64 (/.f64 108/841 x)) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)))
(*.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)))
(*.f64 -108/841 (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) 108/841)
(pow.f64 (/.f64 108/841 x) 1)
(pow.f64 (*.f64 x 841/108) -1)
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)
(pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 108/841 x)))
(cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))
(expm1.f64 (log1p.f64 (/.f64 108/841 x)))
(exp.f64 (log.f64 (/.f64 108/841 x)))
(log1p.f64 (expm1.f64 (/.f64 108/841 x)))
(-.f64 (+.f64 1 (*.f64 x 841/108)) 1)
(*.f64 x 841/108)
(.f64 1 (.f64 x 841/108))
(.f64 (.f64 x 841/108) 1)
(.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))
(.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 -1 (/.f64 1 (/.f64 -108/841 x)))
(*.f64 841/108 x)
(*.f64 841/108 (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 -841/108 (neg.f64 x))
(pow.f64 (/.f64 108/841 x) -1)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1782×	`fma-def`
1120×	`distribute-lft-in`
1000×	`log-prod`
756×	`unswap-sqr`
524×	`log-div`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	644
1	225	530
2	800	416
3	3966	410

Stop Event

1×	node limit

Counts

58 → 50

Calls

Call 1

Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(-.f64 (+.f64 1 (/.f64 108/841 x)) 1)
(*.f64 108/841 (/.f64 1 x))
(*.f64 (/.f64 108/841 x) 1)
(*.f64 1 (/.f64 108/841 x))
(*.f64 (cbrt.f64 (/.f64 108/841 x)) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)))
(*.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)))
(*.f64 -108/841 (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) 108/841)
(pow.f64 (/.f64 108/841 x) 1)
(pow.f64 (*.f64 x 841/108) -1)
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)
(pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 108/841 x)))
(cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))
(expm1.f64 (log1p.f64 (/.f64 108/841 x)))
(exp.f64 (log.f64 (/.f64 108/841 x)))
(log1p.f64 (expm1.f64 (/.f64 108/841 x)))
(-.f64 (+.f64 1 (*.f64 x 841/108)) 1)
(*.f64 x 841/108)
(.f64 1 (.f64 x 841/108))
(.f64 (.f64 x 841/108) 1)
(.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))
(.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 -1 (/.f64 1 (/.f64 -108/841 x)))
(*.f64 841/108 x)
(*.f64 841/108 (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 -841/108 (neg.f64 x))
(pow.f64 (/.f64 108/841 x) -1)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))

Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(-.f64 (+.f64 1 (/.f64 108/841 x)) 1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 108/841 (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (/.f64 108/841 x) 1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 1 (/.f64 108/841 x))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (cbrt.f64 (/.f64 108/841 x)) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 -108/841 (/.f64 1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (/.f64 1 x) 108/841)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (/.f64 108/841 x) 1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (*.f64 x 841/108) -1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(fabs.f64 (/.f64 108/841 x))
(log.f64 (exp.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(expm1.f64 (log1p.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(exp.f64 (log.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(log1p.f64 (expm1.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(-.f64 (+.f64 1 (*.f64 x 841/108)) 1)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(.f64 1 (.f64 x 841/108))
(*.f64 841/108 x)
(.f64 (.f64 x 841/108) 1)
(*.f64 841/108 x)
(.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(*.f64 841/108 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(*.f64 -1 (/.f64 1 (/.f64 -108/841 x)))
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 (pow.f64 (/.f64 1 x) -1))
(*.f64 841/108 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))
(*.f64 841/108 x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))
(*.f64 841/108 x)
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 841/108 x)
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 841/108 x)
(*.f64 -841/108 (neg.f64 x))
(*.f64 841/108 x)
(pow.f64 (/.f64 108/841 x) -1)
(*.f64 841/108 x)
(pow.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(*.f64 841/108 x)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(*.f64 841/108 x)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)

eval11.0ms (0.2%)

Compiler: Compiled 370 to 304 computations (17.8% saved)

prune11.0ms (0.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	49	7	56

Accurracy

100.0%

Counts

56 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 841/108 x 4/29)
✓	76.1%	(/.f64 (-.f64 (.f64 x (.f64 x 707281/11664)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
✓	51.5%	(/.f64 1 (/.f64 108/841 x))
✓	99.5%	(+.f64 (*.f64 (pow.f64 (cbrt.f64 841/108) 3) x) (/.f64 4 29))
✓	99.9%	(+.f64 (*.f64 841/108 x) 4/29)
	51.6%	(*.f64 x 841/108)
	49.5%	4/29

Compiler

Compiled 140 to 115 computations (17.9% saved)

regimes21.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

Inputs
4/29
(*.f64 x 841/108)
(+.f64 (*.f64 841/108 x) 4/29)
(/.f64 1 (/.f64 108/841 x))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 (-.f64 (.f64 707281/11664 (.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(/.f64 (-.f64 (.f64 x (.f64 x 707281/11664)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(fma.f64 841/108 x 4/29)
(/.f64 1 (/.f64 1 (fma.f64 x 841/108 4/29)))
(+.f64 (sqrt.f64 (.f64 707281/11664 (.f64 x x))) (/.f64 4 29))
(+.f64 (*.f64 (pow.f64 (cbrt.f64 841/108) 3) x) (/.f64 4 29))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))

Outputs
(+.f64 (*.f64 841/108 x) 4/29)

Calls

3 calls:

6.0ms	(*.f64 (/.f64 841 108) x)
6.0ms	x
5.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))`
99.9%	1	`(*.f64 (/.f64 841 108) x)`

Compiler

Compiled 110 to 90 computations (18.2% saved)

regimes9.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
4/29
(*.f64 x 841/108)

Outputs
(*.f64 x 841/108)
4/29
(*.f64 x 841/108)

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

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:

2.0ms

Results

Accuracy	Segments	Branch
49.5%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch32.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.3951053971016792e-11	2.2732726308509883
15.0ms	-0.337226035402083	-3.0955564527376613e-10

Results

28.0ms

304×

body

256

valid

Compiler

Compiled 166 to 145 computations (12.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	25	47

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 841/108 x) 4/29)
(if (<=.f64 x -5188146770730811/288230376151711744) (.f64 x 841/108) (if (<=.f64 x 5188146770730811/288230376151711744) 4/29 (.f64 x 841/108)))
4/29

Outputs
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -5188146770730811/288230376151711744) (.f64 x 841/108) (if (<=.f64 x 5188146770730811/288230376151711744) 4/29 (.f64 x 841/108)))
(if (or (<=.f64 x -5188146770730811/288230376151711744) (not (<=.f64 x 5188146770730811/288230376151711744))) (*.f64 841/108 x) 4/29)
4/29

Compiler

Compiled 22 to 18 computations (18.2% saved)

soundness411.0ms (6.6%)

Rules

1680×	`pow1`
1680×	`pow1`
1568×	`add-exp-log`
1568×	`log1p-expm1-u`
1568×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	17	9
2	18	9
0	11	16
1	204	16
2	2106	16
0	11	16
1	204	16
2	2106	16
0	22	177
1	474	99
2	5794	99
0	7	14
1	149	14
2	1750	14

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 475 to 360 computations (24.2% saved)

end0.0ms (0%)

preprocess37.0ms (0.6%)

Compiler: Compiled 60 to 50 computations (16.7% saved)

analyze0.0ms (0%)

sample958.0ms (15.3%)

preprocess23.0ms (0.4%)

simplify3.0ms (0.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize50.0ms (0.8%)

series2.0ms (0%)

rewrite59.0ms (0.9%)

simplify51.0ms (0.8%)

eval9.0ms (0.2%)

prune15.0ms (0.2%)

localize123.0ms (2%)

series8.0ms (0.1%)

rewrite213.0ms (3.4%)

simplify297.0ms (4.7%)

eval1.3s (20%)

prune130.0ms (2.1%)

localize161.0ms (2.6%)

series5.0ms (0.1%)

rewrite298.0ms (4.8%)

simplify1.3s (21.3%)

eval456.0ms (7.3%)

prune75.0ms (1.2%)

localize23.0ms (0.4%)

series1.0ms (0%)

rewrite78.0ms (1.2%)

simplify88.0ms (1.4%)

eval11.0ms (0.2%)

prune11.0ms (0.2%)

regimes21.0ms (0.3%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

bsearch32.0ms (0.5%)

simplify5.0ms (0.1%)

soundness411.0ms (6.6%)

end0.0ms (0%)

preprocess37.0ms (0.6%)

Profiling