Details

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.8%	0.1%	0%	0.1%	0%	0%	12

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample891.0ms (12%)

Results

880.0ms	8254×	body	256	valid
0.0ms	3×	body	256	infinite
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Bogosity

preprocess5.0ms (0.1%)

Algorithm

2×	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
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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)

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify39.0ms (0.5%)

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)

prune1.0ms (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

Error

0.15%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.15%	(fma.f64 841/108 x 4/29)
▶	0.16%	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.04%	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
✓	0.24%	(*.f64 (/.f64 841 108) x)

Compiler

Compiled 26 to 23 computations (11.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite97.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`*-commutative`
694×	`sqrt-prod`
566×	`frac-times`
446×	`swap-sqr`
434×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	239	16
2	2517	16

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 25/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (.f64 841/108 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (-.f64 4/29 (.f64 841/108 x))) (/.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 4/29 (.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29)))))

simplify108.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1026×	`associate-/r/`
1018×	`associate-/l/`
440×	`+-commutative`
414×	`distribute-lft-neg-in`
392×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	5842
1	1055	4826
2	4088	4784

Stop Event

1×	node limit

Counts

152 → 194

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 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (exp.f64 (log1p.f64 (.f64 841/108 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (exp.f64 (log1p.f64 (.f64 841/108 x)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1))))
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 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 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(-.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1)
(-.f64 (/.f64 16/841 (-.f64 4/29 (.f64 841/108 x))) (/.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 4/29 (.f64 841/108 x))))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (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 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (.f64 (fma.f64 841/108 x 4/29) (cbrt.f64 (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)))
(.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))
(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
(.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841))
(.f64 (/.f64 1 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))
(.f64 (+.f64 (neg.f64 (.f64 707281/11664 (*.f64 x x))) 16/841) (/.f64 1 (neg.f64 (fma.f64 841/108 x -4/29))))
(.f64 (+.f64 -64/24389 (neg.f64 (.f64 594823321/1259712 (pow.f64 x 3)))) (/.f64 1 (neg.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(.f64 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841)) (fma.f64 841/108 x 4/29))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841) (sqrt.f64 (fma.f64 841/108 x -4/29))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (cbrt.f64 (fma.f64 841/108 x -4/29))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (cbrt.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(.f64 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (+.f64 (.f64 707281/11664 (.f64 x x)) (+.f64 16/841 (*.f64 x 29/27))))
(.f64 (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (-.f64 16/841 (.f64 x 29/27)) 2))) (-.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))
(.f64 (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 707281/11664 (.f64 x x)) 3) (pow.f64 (-.f64 16/841 (.f64 x 29/27)) 3))) (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (-.f64 16/841 (.f64 x 29/27)) (-.f64 (-.f64 16/841 (.f64 x 29/27)) (.f64 707281/11664 (*.f64 x x))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/6))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) 1) (/.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841)) (fma.f64 841/108 x -4/29)))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841))) 1) (/.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (fma.f64 841/108 x -4/29)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (/.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (cbrt.f64 (fma.f64 841/108 x -4/29))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841))) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (sqrt.f64 (fma.f64 841/108 x -4/29))))
(.f64 (/.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) 1) (/.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (/.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) 1) (/.f64 (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (/.f64 (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))) (sqrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 4)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(.f64 (sqrt.f64 (.f64 (fma.f64 841/108 x 4/29) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1))
(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))
(/.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (/.f64 (fma.f64 841/108 x -4/29) (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841))))
(/.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (/.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))) (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841))) (/.f64 (fma.f64 841/108 x -4/29) (cbrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841))))
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(/.f64 (+.f64 262144/14507145975869 (pow.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 3)) (.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))) (+.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))))
(/.f64 (+.f64 (pow.f64 (.f64 707281/11664 (.f64 x x)) 3) -4096/594823321) (.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (pow.f64 (*.f64 x 29/27) 2)))))
(/.f64 (+.f64 (neg.f64 (.f64 707281/11664 (.f64 x x))) 16/841) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (+.f64 -64/24389 (neg.f64 (.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 1 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (-.f64 4/29 (.f64 841/108 x)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841))) (sqrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841))) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) 1) (-.f64 4/29 (.f64 841/108 x)))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 707281/11664 (*.f64 x x))) 16/841) 1) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (+.f64 -64/24389 (neg.f64 (.f64 594823321/1259712 (pow.f64 x 3)))) 1) (neg.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841)) (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) (/.f64 1 (fma.f64 841/108 x -4/29))) (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 707281/11664 (.f64 x x)) 3) -4096/594823321) (/.f64 1 (fma.f64 841/108 x -4/29))) (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (pow.f64 (*.f64 x 29/27) 2))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) (/.f64 1 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))
(/.f64 (.f64 (+.f64 262144/14507145975869 (pow.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (+.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) 1) (fma.f64 841/108 x -4/29))
(/.f64 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (sqrt.f64 (fma.f64 841/108 x -4/29))) (sqrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (*.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) 1) (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))
(/.f64 (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 -1 (neg.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 (.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841))) (.f64 (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (sqrt.f64 (fma.f64 841/108 x -4/29))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) (.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29))) (.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (+.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) 3) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 3)) (+.f64 (.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29))) (+.f64 (.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) (.f64 (/.f64 (.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))))))
(/.f64 (-.f64 (.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) (.f64 (fma.f64 841/108 x -4/29) 16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) 1) (.f64 (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))) (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 707281/11664 (.f64 x x)) 3) -4096/594823321) 1) (.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (pow.f64 (.f64 x 29/27) 2))) (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) 1) (.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (+.f64 262144/14507145975869 (pow.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 3)) 1) (.f64 (+.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (neg.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (neg.f64 (-.f64 4/29 (*.f64 841/108 x))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 707281/11664 (.f64 x x))) 16/841)) (neg.f64 (neg.f64 (fma.f64 841/108 x -4/29))))
(/.f64 (neg.f64 (+.f64 -64/24389 (neg.f64 (.f64 594823321/1259712 (pow.f64 x 3))))) (neg.f64 (neg.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(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)
(neg.f64 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (neg.f64 (fma.f64 841/108 x -4/29))))
(neg.f64 (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (neg.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(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 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))
(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)))
(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 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (.f64 841/108 x)) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (cbrt.f64 (.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 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1)
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(*.f64 841/108 x)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (exp.f64 (log1p.f64 (.f64 841/108 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1))
(/.f64 (.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1) (.f64 841/108 x)) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 841/108 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (exp.f64 (log1p.f64 (.f64 841/108 x)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 841/108 x)) (log1p.f64 (.f64 841/108 x)))) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 3)) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (.f64 841/108 x)))))))
(/.f64 (+.f64 -1 (exp.f64 (.f64 3 (log1p.f64 (.f64 841/108 x))))) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (*.f64 841/108 x)))))))
(pow.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(*.f64 841/108 x)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(sqrt.f64 (.f64 (.f64 707281/11664 x) x))
(sqrt.f64 (.f64 x (.f64 x 707281/11664)))
(fabs.f64 (*.f64 841/108 x))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(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 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29)
(fma.f64 841/108 x 4/29)
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(/.f64 (neg.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (neg.f64 (-.f64 4/29 (*.f64 841/108 x))))
(-.f64 (/.f64 707281/11664 (/.f64 (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 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 707281/11664 (.f64 x x))) 16/841)) (neg.f64 (neg.f64 (fma.f64 841/108 x -4/29))))
(-.f64 (/.f64 707281/11664 (/.f64 (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 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 -64/24389 (neg.f64 (.f64 594823321/1259712 (pow.f64 x 3))))) (neg.f64 (neg.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (.f64 841/108 (.f64 x (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(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)
(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)
(neg.f64 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (neg.f64 (fma.f64 841/108 x -4/29))))
(-.f64 (/.f64 707281/11664 (/.f64 (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 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(neg.f64 (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (neg.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (.f64 841/108 (.f64 x (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(fabs.f64 (fma.f64 841/108 x 4/29))
(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)
(log.f64 (+.f64 1 (expm1.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)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (.f64 841/108 x)) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (cbrt.f64 (.f64 841/108 x)) 4/29)
(fma.f64 841/108 x 4/29)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.15%	(fma.f64 841/108 x 4/29)

Compiler

Compiled 8 to 6 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite91.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`add-sqr-sqrt`
1082×	`*-un-lft-identity`
1038×	`pow1`
1018×	`add-cube-cbrt`
1010×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	123	9
2	1328	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 841/108 x) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) (-.f64 16/841 (.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))))

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1098×	`distribute-lft-in`
1042×	`distribute-rgt-in`
902×	`associate-r`
884×	`fma-def`
776×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	361
1	136	343
2	597	341
3	2639	339
4	7205	339

Stop Event

1×	node limit

Counts

33 → 31

Calls

Call 1

Inputs
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 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 (.f64 (.f64 841/108 x) 1) 4/29)
(-.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 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (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 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) (-.f64 16/841 (.f64 (.f64 841/108 x) 4/29))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(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)
(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
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 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (.f64 (.f64 841/108 x) 1) 4/29)
(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 (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 (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 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))
(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -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 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) (-.f64 16/841 (.f64 (.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 4/29 (*.f64 841/108 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 (.f64 x 707281/11664) 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) (fma.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29)) 16/841))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(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)
(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)
(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)

eval129.0ms (1.7%)

Compiler: Compiled 4569 to 3684 computations (19.4% saved)

prune36.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	214	11	225
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	215	12	227

Error

0.02%

Counts

227 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.15%	(fma.f64 841/108 x 4/29)
	31.43%	(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 16/841 (.f64 x (-.f64 29/27 (.f64 x 707281/11664)))))
	21.67%	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
▶	22.48%	(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
▶	0.24%	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
	21.71%	(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 -841/108 x))) (/.f64 (.f64 (.f64 707281/11664 x) x) (+.f64 4/29 (.f64 -841/108 x))))
	29.73%	(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29)
▶	49.81%	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
▶	0.16%	(+.f64 (*.f64 841/108 x) 4/29)
	35.77%	(.f64 (sqrt.f64 (.f64 (fma.f64 841/108 x 4/29) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
▶	51.44%	(*.f64 841/108 x)
	47.96%	4/29

Compiler

Compiled 259 to 216 computations (16.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.04%	(+.f64 (*.f64 841/108 x) 4/29)
✓	0.24%	(*.f64 841/108 x)

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`add-sqr-sqrt`
1498×	`*-un-lft-identity`
1418×	`add-cube-cbrt`
1408×	`add-cbrt-cube`
1394×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	154	16
2	1842	16

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29)))))

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

998×	`associate-/l*`
970×	`associate-r`
926×	`*-commutative`
782×	`times-frac`
766×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	975
1	253	915
2	888	851
3	3854	767

Stop Event

1×	node limit

Counts

57 → 57

Calls

Call 1

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

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

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.24%	(*.f64 841/108 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.21%	(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
	0.24%	(*.f64 841/108 x)
✓	0.32%	(.f64 -707281/11664 (.f64 x x))
✓	20.93%	(/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))))

Compiler

Compiled 58 to 39 computations (32.8% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))))
1.0ms	x	@	0	(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
0.0ms	x	@	0	(.f64 -707281/11664 (.f64 x x))
0.0ms	x	@	0	(/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))))

rewrite107.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1598×	`associate-/l*`
1160×	`associate-/r/`
606×	`associate-/l/`
334×	`add-sqr-sqrt`
316×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	93
1	339	79
2	4433	79

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

Inputs

(/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))

(*.f64 -707281/11664 (*.f64 x x))

(/.f64 1 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))

Outputs

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simplify151.0ms (2%)

Algorithm

1×	egg-herbie

Rules

958×	`+-commutative`
828×	`*-commutative`
802×	`distribute-lft-in`
704×	`distribute-rgt-in`
686×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	537	10156
1	1711	8692
2	7918	8692

Stop Event

1×	node limit

Counts

206 → 287

Calls

Call 1

Inputs
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)))))
(*.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))
(+.f64 (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (neg.f64 (.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (*.f64 x x) 16/841)))))
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(.f64 1 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1)
(.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) 2) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (pow.f64 (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) -1))
(.f64 -1 (.f64 -1 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(.f64 -1 (neg.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(.f64 (.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2)) (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(.f64 (.f64 -1 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) -1)
(.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (cbrt.f64 (+.f64 4/29 (.f64 x -841/108)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841))) 2)) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 1 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 841/108 x))))
(.f64 (/.f64 1 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 29/27 x))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (+.f64 4/29 (*.f64 841/108 x)))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (.f64 29/27 x)))
(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
(.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)) (+.f64 4/29 (.f64 x -841/108))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (+.f64 4/29 (.f64 x -841/108))) (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (+.f64 4/29 (.f64 x -841/108))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841))) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) -1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (+.f64 4/29 (.f64 x -841/108))) (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)))
(.f64 (/.f64 1 (neg.f64 (-.f64 -4/29 (.f64 x -841/108)))) (neg.f64 (-.f64 -16/841 (.f64 x (.f64 x -707281/11664)))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (neg.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (neg.f64 (+.f64 4/29 (*.f64 841/108 x))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (neg.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (neg.f64 (+.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (.f64 29/27 x))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (-.f64 16/841 (.f64 (.f64 x -841/108) (.f64 x -841/108)))) (+.f64 4/29 (.f64 841/108 x)))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 64/24389 (pow.f64 (.f64 x -841/108) 3))) (+.f64 16/841 (-.f64 (.f64 (.f64 x -841/108) (.f64 x -841/108)) (.f64 4/29 (.f64 x -841/108)))))
(.f64 (/.f64 1 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2))) (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)))
(.f64 (/.f64 1 (-.f64 (.f64 (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841))) (.f64 (.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (.f64 x x) 16/841))) (.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (.f64 x x) 16/841)))))) (+.f64 (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (.f64 x x) 16/841)))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 3) (pow.f64 (.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (.f64 x x) 16/841))) 3))) (+.f64 (.f64 (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841))) (+.f64 (.f64 (.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (.f64 x x) 16/841))) (.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (.f64 x x) 16/841)))) (.f64 (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (.f64 x x) 16/841)))))))
(.f64 (/.f64 1 (-.f64 (.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 841/108 x)))) (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2))
(.f64 (/.f64 1 (.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) 1)) (.f64 (+.f64 4/29 (.f64 841/108 x)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(.f64 (/.f64 1 (.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) 1)) (.f64 (+.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (.f64 29/27 x)) (fma.f64 -707281/11664 (.f64 x x) 16/841)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) 1) (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (-.f64 -4/29 (.f64 x -841/108)))) (sqrt.f64 (-.f64 -16/841 (.f64 x (.f64 x -707281/11664)))))
(.f64 (/.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) 1) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(.f64 (/.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) -1) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
(.f64 (/.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (/.f64 1 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)))) (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)))
(.f64 (/.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2))) (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)))
(.f64 (/.f64 (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))) (neg.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (+.f64 4/29 (.f64 841/108 x)))
(.f64 (/.f64 (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))) (neg.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (+.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 29/27 x)))
(.f64 (/.f64 -1 (neg.f64 (-.f64 -4/29 (.f64 x -841/108)))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (-.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (-.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (fma.f64 -707281/11664 (.f64 x x) 16/841))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (-.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (-.f64 4096/594823321 (.f64 -353814783205469041/1586874322944 (pow.f64 (.f64 x x) 3)))) (+.f64 256/707281 (+.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 -841/729 (*.f64 x x)))))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 4096/594823321 (.f64 -353814783205469041/1586874322944 (pow.f64 (.f64 x x) 3)))) (-.f64 65536/500246412961 (.f64 (-.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 -841/729 (.f64 x x))) (-.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 -841/729 (.f64 x x)))))) (+.f64 (-.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (.f64 -841/729 (*.f64 x x))))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 4096/594823321 (.f64 -353814783205469041/1586874322944 (pow.f64 (.f64 x x) 3)))) (+.f64 16777216/353814783205469041 (pow.f64 (-.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 -841/729 (.f64 x x))) 3))) (+.f64 65536/500246412961 (-.f64 (.f64 (-.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 -841/729 (.f64 x x))) (-.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 -841/729 (.f64 x x)))) (.f64 256/707281 (-.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 -841/729 (*.f64 x x)))))))
(.f64 (/.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (sqrt.f64 (+.f64 4/29 (.f64 841/108 x))))
(.f64 (/.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (sqrt.f64 (+.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 29/27 x))))
(.f64 (/.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (cbrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (cbrt.f64 (+.f64 4/29 (.f64 841/108 x))))
(.f64 (/.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (cbrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (cbrt.f64 (+.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 29/27 x))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841))) 2)) 1) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841))) 2)) (cbrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841))) 2)) (cbrt.f64 (-.f64 -4/29 (.f64 x -841/108)))) (cbrt.f64 (-.f64 -16/841 (.f64 x (.f64 x -707281/11664)))))
(pow.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841)) -1)
(pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) 3) (pow.f64 (+.f64 4/29 (.f64 x -841/108)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(exp.f64 (-.f64 (log.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (log.f64 (+.f64 4/29 (.f64 x -841/108)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) -1))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))

Outputs
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(fma.f64 -707281/1728 x 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 -707281/1728 x)))
(+.f64 (fma.f64 -707281/1728 x 29/4) (.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 -707281/1728 x))))
(+.f64 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (.f64 x (.f64 x 17249876309/746496))) (fma.f64 -707281/1728 x 29/4))
(+.f64 (fma.f64 -707281/1728 x 29/4) (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (.f64 x (.f64 x 17249876309/746496))))
(/.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 (.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))))
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(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 3))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) 3) (pow.f64 (+.f64 4/29 (.f64 x -841/108)) 3)))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (-.f64 (log.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (log.f64 (+.f64 4/29 (.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) -1))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 1))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.15%	(fma.f64 841/108 x 4/29)
✓	0.21%	(/.f64 1 (fma.f64 841/108 x 4/29))
✓	0.21%	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))

Compiler

Compiled 23 to 19 computations (17.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`add-sqr-sqrt`
1582×	`*-un-lft-identity`
1486×	`add-cube-cbrt`
1474×	`add-cbrt-cube`
168×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	207	24
2	2070	24

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (fma.f64 841/108 x 4/29))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1) (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))))))

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1158×	`unswap-sqr`
974×	`associate-+r+`
710×	`associate-*r/`
708×	`associate-+l+`
548×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	1140
1	309	1106
2	1273	1098
3	6131	1098

Stop Event

1×	node limit

Counts

74 → 80

Calls

Call 1

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

Outputs
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 (fma.f64 x -707281/1728 29/4) (.f64 x (.f64 x 17249876309/746496)))
(fma.f64 x -707281/1728 (fma.f64 x (*.f64 x 17249876309/746496) 29/4))
(+.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))
(fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 x -707281/1728 (fma.f64 x (*.f64 x 17249876309/746496) 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 x) (/.f64 46656/20511149 (*.f64 x x))) (/.f64 20155392/500246412961 (pow.f64 x 3)))
(-.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 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (-.f64 (/.f64 108/841 x) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))) (/.f64 -46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (-.f64 (/.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 x) (/.f64 46656/20511149 (*.f64 x x))) (/.f64 20155392/500246412961 (pow.f64 x 3)))
(-.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 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (-.f64 (/.f64 108/841 x) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))) (/.f64 -46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (-.f64 (/.f64 -8707129344/12200509765705829 (pow.f64 x 4)) (/.f64 46656/20511149 (*.f64 x x)))))
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (.f64 (.f64 841/108 x) 1) 4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.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 (fma.f64 841/108 x 4/29) 1)
(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 (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 -1 (neg.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29)))))
(/.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1)
(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)
(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)
(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)
(log.f64 (+.f64 1 (expm1.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)
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))
(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)
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) 1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1) (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1))
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) -1))
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (fma.f64 841/108 x 4/29) -1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 2)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3) 1/3)
(/.f64 1 (fma.f64 841/108 x 4/29))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))
(/.f64 1 (fma.f64 841/108 x 4/29))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3))
(/.f64 1 (fma.f64 841/108 x 4/29))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(exp.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) -1))
(/.f64 1 (fma.f64 841/108 x 4/29))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) 1))
(/.f64 1 (fma.f64 841/108 x 4/29))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
✓	0.09%	(sqrt.f64 (*.f64 841/108 x))
	0.24%	(*.f64 841/108 x)
✓	0.39%	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)

Compiler

Compiled 32 to 27 computations (15.6% saved)

series4.0ms (0.1%)

Counts

3 → 1

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
0.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
0.0ms	x	@	0	(sqrt.f64 (*.f64 841/108 x))
0.0ms	x	@	inf	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))

rewrite113.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

856×	`*-commutative`
566×	`frac-times`
518×	`swap-sqr`
504×	`unswap-sqr`
370×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	278	27
2	2799	27

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(sqrt.f64 (*.f64 841/108 x))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 841/108 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 841/108 x) 1/4) (*.f64 (sqrt.f64 (*.f64 841/108 x)) (pow.f64 (*.f64 841/108 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 841/108) (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 841/108 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (*.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (*.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (pow.f64 (*.f64 841/108 x) 1/4)) (pow.f64 (*.f64 841/108 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 x)) (sqrt.f64 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x)))) (cbrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 841/108 x)) (sqrt.f64 (cbrt.f64 (*.f64 841/108 x)))) (*.f64 (cbrt.f64 (*.f64 841/108 x)) (sqrt.f64 (cbrt.f64 (*.f64 841/108 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3/2) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3/2))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29)))))

simplify112.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1578×	`associate-/r*`
1158×	`associate-*r/`
928×	`associate-*l/`
642×	`associate-/l/`
534×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	475	7350
1	1266	6134
2	4359	5892

Stop Event

1×	node limit

Counts

186 → 267

Calls

Call 1

Inputs
4/29
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(*.f64 841/108 x)
(*.f64 x 841/108)
(.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))
(.f64 (.f64 841/108 x) 1)
(.f64 1 (.f64 841/108 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)))
(.f64 (sqrt.f64 x) (.f64 841/108 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 841/108 x) 1/4) (.f64 (sqrt.f64 (.f64 841/108 x)) (pow.f64 (*.f64 841/108 x) 1/4)))
(.f64 (sqrt.f64 841/108) (.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 841/108 (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (.f64 (.f64 x x) 707281/11664)))
(.f64 (cbrt.f64 (.f64 841/108 x)) (.f64 (sqrt.f64 (.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x)))))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 707281/11664)) (cbrt.f64 (.f64 841/108 x)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 841/108 x))) (.f64 (sqrt.f64 (.f64 841/108 x)) (cbrt.f64 (*.f64 841/108 x))))
(.f64 (.f64 (sqrt.f64 (.f64 841/108 x)) (pow.f64 (.f64 841/108 x) 1/4)) (pow.f64 (*.f64 841/108 x) 1/4))
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (.f64 841/108 x)) (cbrt.f64 (.f64 841/108 x))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
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(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) 1) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)) 1) (+.f64 (.f64 x -841/108) 4/29))
(/.f64 (.f64 (+.f64 -64/24389 (neg.f64 (.f64 (pow.f64 x 3) 594823321/1259712))) 1) (neg.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
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(/.f64 (.f64 (sqrt.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) (/.f64 1 (fma.f64 841/108 x -4/29))) (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) 707281/11664) 3) -4096/594823321) (/.f64 1 (fma.f64 841/108 x -4/29))) (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (.f64 (.f64 x x) 841/729))))
(/.f64 (.f64 (+.f64 (.f64 353814783205469041/1586874322944 (pow.f64 x 6)) -4096/594823321) (/.f64 1 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) -64/24389))
(/.f64 (.f64 (+.f64 262144/14507145975869 (pow.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 3)) (/.f64 1 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (+.f64 (.f64 353814783205469041/1586874322944 (pow.f64 x 6)) (-.f64 4096/594823321 (.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) 1) (fma.f64 841/108 x -4/29))
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(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (*.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) 1) (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))
(/.f64 (/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)) (sqrt.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
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(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1))
(/.f64 (-.f64 (.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29))) (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29)))) (.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (+.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29))) (/.f64 16/841 (fma.f64 841/108 x -4/29))))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) 707281/11664) 3) -4096/594823321) 1) (.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (.f64 (*.f64 x x) 841/729))) (fma.f64 841/108 x -4/29)))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(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)
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(neg.f64 (/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (neg.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(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))
(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)))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (.f64 841/108 x)) 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29)

Outputs
4/29
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1)
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(.f64 (.f64 841/108 x) 1)
(*.f64 841/108 x)
(.f64 1 (.f64 841/108 x))
(*.f64 841/108 x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)))
(.f64 (sqrt.f64 (.f64 841/108 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 841/108)))
(.f64 (sqrt.f64 x) (.f64 841/108 (sqrt.f64 x)))
(*.f64 841/108 x)
(.f64 (pow.f64 (.f64 841/108 x) 1/4) (.f64 (sqrt.f64 (.f64 841/108 x)) (pow.f64 (*.f64 841/108 x) 1/4)))
(*.f64 841/108 x)
(.f64 (sqrt.f64 841/108) (.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 841/108 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 841/108)))
(.f64 (cbrt.f64 x) (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 841/108 x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 841/108 (cbrt.f64 x)))
(*.f64 841/108 x)
(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (.f64 (.f64 x x) 707281/11664)))
(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (.f64 x (.f64 x 707281/11664))))
(.f64 (cbrt.f64 (.f64 841/108 x)) (.f64 (sqrt.f64 (.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x)))))
(.f64 (sqrt.f64 (.f64 841/108 x)) (.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x)))))
(.f64 (cbrt.f64 (.f64 841/108 x)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) 4))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 707281/11664)) (cbrt.f64 (.f64 841/108 x)))
(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (.f64 x (.f64 x 707281/11664))))
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(.f64 (sqrt.f64 (.f64 841/108 x)) (.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x)))))
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(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
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(/.f64 (-.f64 (.f64 500246412961/136048896 (.f64 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29)) (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29)))) (.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (fma.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(/.f64 (fma.f64 500246412961/136048896 (.f64 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29)) (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29))) (neg.f64 (/.f64 (/.f64 256/707281 (fma.f64 841/108 x -4/29)) (fma.f64 841/108 x -4/29)))) (fma.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(/.f64 (-.f64 (.f64 500246412961/136048896 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 841/108 x -4/29)) (fma.f64 841/108 x -4/29))) (/.f64 256/707281 (pow.f64 (fma.f64 841/108 x -4/29) 2))) (fma.f64 707281/11664 (.f64 (/.f64 x (fma.f64 841/108 x -4/29)) x) (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (fma.f64 841/108 x 4/29)) (log1p.f64 (fma.f64 841/108 x 4/29)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 3)) (+.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (fma.f64 841/108 x 4/29)))))))
(/.f64 (-.f64 (pow.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29))) 3) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 3)) (+.f64 (.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29))) (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29)))) (+.f64 (.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) (.f64 (.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x -4/29))) (/.f64 16/841 (fma.f64 841/108 x -4/29))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 841/108 x -4/29)) 3) (/.f64 4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (+.f64 (.f64 500246412961/136048896 (.f64 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29)) (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29)))) (.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (fma.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 353814783205469041/1586874322944 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 841/108 x -4/29) 3)) (/.f64 -4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (fma.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (fma.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) (.f64 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29)) (.f64 (/.f64 (*.f64 x x) (fma.f64 841/108 x -4/29)) 500246412961/136048896))))
(/.f64 (fma.f64 353814783205469041/1586874322944 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 841/108 x -4/29) 3)) (/.f64 -4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (fma.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (fma.f64 707281/11664 (.f64 (/.f64 x (fma.f64 841/108 x -4/29)) x) (/.f64 16/841 (fma.f64 841/108 x -4/29))) (.f64 500246412961/136048896 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 841/108 x -4/29)) (fma.f64 841/108 x -4/29)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (.f64 (fma.f64 841/108 x -4/29) 16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 707281/11664 (fma.f64 841/108 x -4/29))) (.f64 (fma.f64 841/108 x -4/29) 16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2))
(/.f64 (.f64 (fma.f64 841/108 x -4/29) (-.f64 (.f64 x (*.f64 x 707281/11664)) 16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2))
(/.f64 (.f64 (+.f64 (.f64 353814783205469041/1586874322944 (pow.f64 x 6)) -4096/594823321) 1) (.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) -64/24389) (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (/.f64 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321) (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)) (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))
(/.f64 (/.f64 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321) (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(/.f64 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321) (.f64 (fma.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841) (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)))
(/.f64 (.f64 (+.f64 262144/14507145975869 (pow.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 3)) 1) (.f64 (+.f64 (.f64 353814783205469041/1586874322944 (pow.f64 x 6)) (-.f64 4096/594823321 (.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 (pow.f64 x 3) 3) 210457284365172120330305161/1999004627104432128)) (.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))) (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) (+.f64 4096/594823321 (.f64 -64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 210457284365172120330305161/1999004627104432128 262144/14507145975869) (.f64 (fma.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841) (+.f64 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) 4096/594823321) (*.f64 -24389/19683 (pow.f64 x 3)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 210457284365172120330305161/1999004627104432128 262144/14507145975869) (fma.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)) (+.f64 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) 4096/594823321) (.f64 -24389/19683 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) 1) (.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664)) (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 x (*.f64 x 707281/11664)) 16/841)))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 x (*.f64 x 707281/11664) 16/841)) (fma.f64 841/108 x -4/29))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 841/108 x -4/29)) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) 707281/11664) 3) -4096/594823321) 1) (.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (.f64 (*.f64 x x) 841/729))) (fma.f64 841/108 x -4/29)))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) -4096/594823321) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 (pow.f64 x 4) 500246412961/136048896 (+.f64 256/707281 (.f64 x (*.f64 x 841/729))))))
(/.f64 (/.f64 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321) (fma.f64 (pow.f64 x 4) 500246412961/136048896 (fma.f64 x (*.f64 x 841/729) 256/707281))) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 (pow.f64 x 4) 500246412961/136048896 (fma.f64 x (.f64 x 841/729) 256/707281))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(fma.f64 841/108 x 4/29)
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (+.f64 (*.f64 x -841/108) 4/29)))
(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (fma.f64 x -841/108 4/29))
(/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (fma.f64 x -841/108 4/29))
(neg.f64 (/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (neg.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(/.f64 (-.f64 -64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 -16/841 (neg.f64 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 -64/24389) (-.f64 -16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 -64/24389) (+.f64 -16/841 (.f64 -841/108 (.f64 x (fma.f64 841/108 x -4/29)))))
(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 841/108 x 4/29)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(fma.f64 841/108 x 4/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(fma.f64 841/108 x 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(fma.f64 x 841/108 4/29)
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (.f64 841/108 x)) 4/29)
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(fma.f64 841/108 x 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 707281/11664))) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (.f64 x (*.f64 x 707281/11664))) 4/29)

eval379.0ms (5.1%)

Compiler: Compiled 15938 to 12501 computations (21.6% saved)

prune210.0ms (2.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	756	8	764
Fresh	5	1	6
Picked	1	0	1
Done	2	3	5
Total	764	12	776

Error

0.01%

Counts

776 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.15%	(fma.f64 841/108 x 4/29)
▶	21.67%	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 4/29 (*.f64 x -841/108)))
	31.41%	(/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))))
▶	31.41%	(/.f64 1 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))))
▶	51.53%	(/.f64 1 (/.f64 108/841 x))
	52.02%	(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
▶	47.46%	(/.f64 1 (+.f64 29/4 (fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))))
▶	1.03%	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 841/108 (cbrt.f64 x))) (/.f64 4 29))
✓	0.16%	(+.f64 (*.f64 841/108 x) 4/29)
	21.73%	(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
✓	51.44%	(*.f64 841/108 x)
	47.96%	4/29

Compiler

Compiled 251 to 200 computations (20.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.46%	(*.f64 841/108 (cbrt.f64 x))
✓	0.5%	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 841/108 (cbrt.f64 x)))
✓	0.8%	(pow.f64 (cbrt.f64 x) 2)
✓	0.94%	(cbrt.f64 x)

Compiler

Compiled 41 to 27 computations (34.1% saved)

series24.0ms (0.3%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	(cbrt.f64 x)
2.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 841/108 (cbrt.f64 x)))
1.0ms	x	@	0	(pow.f64 (cbrt.f64 x) 2)
1.0ms	x	@	0	(*.f64 841/108 (cbrt.f64 x))
0.0ms	x	@	-inf	(cbrt.f64 x)

rewrite84.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`add-sqr-sqrt`
1666×	`*-un-lft-identity`
1556×	`add-cube-cbrt`
1536×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	54
1	201	34
2	2236	34

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

Inputs
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 841/108 (cbrt.f64 x)))
(*.f64 841/108 (cbrt.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 841/108))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 841/108) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 841/108)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 841/108)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 841/108) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x 841/108) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x 841/108) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 841/108)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cbrt.f64 x) 841/108))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 x) 841/108) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cbrt.f64 x) 841/108)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cbrt.f64 x) 841/108)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cbrt.f64 x) 841/108) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 841/108) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cbrt.f64 x) 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cbrt.f64 x) 841/108) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cbrt.f64 x) 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cbrt.f64 x) 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) 841/108)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) 841/108)))))))

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1402×	`fma-def`
922×	`*-commutative`
582×	`log-prod`
508×	`+-commutative`
502×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	739
1	263	733
2	1140	729
3	3620	723
4	7776	723

Stop Event

1×	node limit

Counts

79 → 76

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 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)
(pow.f64 (pow.f64 x 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x 841/108) 2))
(log.f64 (exp.f64 (*.f64 x 841/108)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(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)))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) 841/108))) 1)
(pow.f64 (*.f64 (cbrt.f64 x) 841/108) 1)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) 841/108)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) 841/108)) 3)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) 841/108) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 707281/11664))
(log.f64 (pow.f64 (exp.f64 841/108) (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 x) 841/108))))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) 841/108) 3))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) 841/108)))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 x) 841/108)))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) 841/108)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.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 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(cbrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(cbrt.f64 x)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (fabs.f64 (cbrt.f64 (cbrt.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 x) 1/6) 4)
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)
(cbrt.f64 x)
(pow.f64 (pow.f64 x 1/6) 2)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(cbrt.f64 x)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(cbrt.f64 x)
(fabs.f64 (cbrt.f64 x))
(cbrt.f64 x)
(log.f64 (exp.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) 1/3))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(pow.f64 (cbrt.f64 x) 2)
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) 2)
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) 2)
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))
(pow.f64 (cbrt.f64 x) 2)
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 x))) 1))
(pow.f64 (cbrt.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(*.f64 841/108 x)
(pow.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(*.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)
(sqrt.f64 (pow.f64 (*.f64 x 841/108) 2))
(*.f64 841/108 x)
(log.f64 (exp.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(*.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)
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) 841/108))) 1)
(*.f64 841/108 (cbrt.f64 x))
(cbrt.f64 (*.f64 x 594823321/1259712))
(pow.f64 (*.f64 (cbrt.f64 x) 841/108) 1)
(*.f64 841/108 (cbrt.f64 x))
(cbrt.f64 (*.f64 x 594823321/1259712))
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) 841/108)) 2)
(*.f64 841/108 (cbrt.f64 x))
(cbrt.f64 (*.f64 x 594823321/1259712))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) 841/108)) 3)
(*.f64 841/108 (cbrt.f64 x))
(cbrt.f64 (*.f64 x 594823321/1259712))
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) 841/108) 3) 1/3)
(*.f64 841/108 (cbrt.f64 x))
(cbrt.f64 (*.f64 x 594823321/1259712))
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 707281/11664))
(*.f64 841/108 (cbrt.f64 x))
(cbrt.f64 (*.f64 x 594823321/1259712))
(log.f64 (pow.f64 (exp.f64 841/108) (cbrt.f64 x)))
(*.f64 841/108 (cbrt.f64 x))
(cbrt.f64 (*.f64 x 594823321/1259712))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 x) 841/108))))
(*.f64 841/108 (cbrt.f64 x))
(cbrt.f64 (*.f64 x 594823321/1259712))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) 841/108) 3))
(*.f64 841/108 (cbrt.f64 x))
(cbrt.f64 (*.f64 x 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) 841/108)))
(*.f64 841/108 (cbrt.f64 x))
(cbrt.f64 (*.f64 x 594823321/1259712))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 x) 841/108)))
(*.f64 841/108 (cbrt.f64 x))
(cbrt.f64 (*.f64 x 594823321/1259712))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) 841/108)) 1))
(*.f64 841/108 (cbrt.f64 x))
(cbrt.f64 (*.f64 x 594823321/1259712))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) 841/108)))
(*.f64 841/108 (cbrt.f64 x))
(cbrt.f64 (*.f64 x 594823321/1259712))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.45%	(/.f64 108/841 x)
✓	0.46%	(/.f64 1 (/.f64 108/841 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series14.0ms (0.2%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	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))

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`add-sqr-sqrt`
1300×	`*-un-lft-identity`
1230×	`add-cube-cbrt`
1220×	`add-cbrt-cube`
1206×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	149	14
2	1730	14

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 841/108)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 841/108) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -841/108 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 108/841 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 841/108) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 841/108) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 841/108)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 108/841 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 108/841 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 108/841 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 108/841 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 108/841 x)) (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) (cbrt.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 108/841)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -108/841 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 108/841 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 841/108) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 108/841 x)))))))

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1558×	`associate-+r+`
1392×	`associate-+l+`
1346×	`distribute-lft-in`
772×	`*-commutative`
748×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	710
1	219	608
2	999	500
3	4206	500

Stop Event

1×	node limit

Counts

58 → 51

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.04%	(-.f64 16/841 (.f64 (.f64 x x) 707281/11664))
✓	0.24%	(*.f64 x -841/108)
✓	0.32%	(.f64 (.f64 x x) 707281/11664)
✓	20.2%	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 4/29 (*.f64 x -841/108)))

Compiler

Compiled 42 to 27 computations (35.7% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite166.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1682×	`associate-/r/`
1090×	`associate-/l/`
908×	`distribute-lft-in`
294×	`add-sqr-sqrt`
282×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	297	48
2	4064	48

Stop Event

1×	node limit

Counts

4 → 220

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (.f64 x -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (neg.f64 (.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (.f64 (neg.f64 x) -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (.f64 -1 (.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (.f64 (neg.f64 (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (cbrt.f64 (.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (.f64 1 (neg.f64 (.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (.f64 1 (.f64 (neg.f64 x) -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (.f64 1 (.f64 -1 (.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (.f64 x 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-707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664))))))))

simplify151.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1186×	`distribute-lft-in`
1128×	`distribute-rgt-in`
1074×	`associate-/l*`
976×	`associate-/r*`
914×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	576	10146
1	1940	9370

Stop Event

1×	node limit

Counts

268 → 343

Calls

Call 1

Inputs
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 -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)
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 4/29 (*.f64 x -841/108))
(+.f64 4/29 (neg.f64 (*.f64 x -841/108)))
(+.f64 4/29 (*.f64 (neg.f64 x) -841/108))
(+.f64 4/29 (.f64 -1 (.f64 x -841/108)))
(+.f64 4/29 (.f64 (neg.f64 (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (*.f64 x -841/108))))
(+.f64 4/29 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (cbrt.f64 (*.f64 x -841/108))))
(+.f64 4/29 (.f64 1 (neg.f64 (.f64 x -841/108))))
(+.f64 4/29 (.f64 1 (.f64 (neg.f64 x) -841/108)))
(+.f64 4/29 (.f64 1 (.f64 -1 (*.f64 x -841/108))))
(+.f64 4/29 (.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (.f64 x -841/108)))))
(+.f64 4/29 (.f64 1 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (cbrt.f64 (.f64 x -841/108)))))
(+.f64 (*.f64 x -841/108) 4/29)
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (neg.f64 (.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (.f64 x x))))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 1 (neg.f64 (.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (*.f64 x x)))))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (.f64 (*.f64 x x) -707281/11664)))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (.f64 (.f64 (.f64 x x) -707281/11664) 1)))
(+.f64 (neg.f64 (*.f64 x -841/108)) 4/29)
(+.f64 (*.f64 (neg.f64 x) -841/108) 4/29)
(+.f64 (.f64 -1 (.f64 x -841/108)) 4/29)
(+.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (*.f64 x -841/108))) 4/29)
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(log.f64 (exp.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))))
(cbrt.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 3))
(expm1.f64 (log.f64 (+.f64 857/841 (.f64 (.f64 x x) -707281/11664))))
(exp.f64 (log.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(exp.f64 (.f64 (log.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664))) 1))
(log1p.f64 (expm1.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))

Outputs
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 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.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 -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 -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)
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 4/29 (*.f64 x -841/108))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (neg.f64 (*.f64 x -841/108)))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 (neg.f64 x) -841/108))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (.f64 -1 (.f64 x -841/108)))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (.f64 (neg.f64 (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (*.f64 x -841/108))))
(+.f64 4/29 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2)))
(+.f64 4/29 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (cbrt.f64 (*.f64 x -841/108))))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (.f64 1 (neg.f64 (.f64 x -841/108))))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (.f64 1 (.f64 (neg.f64 x) -841/108)))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (.f64 1 (.f64 -1 (*.f64 x -841/108))))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (.f64 x -841/108)))))
(+.f64 4/29 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2)))
(+.f64 4/29 (.f64 1 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (cbrt.f64 (.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 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (neg.f64 (.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (.f64 x x))))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (.f64 x x)))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 1 (neg.f64 (.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (*.f64 x x)))))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (.f64 x x)))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (.f64 (*.f64 x x) -707281/11664)))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (/.f64 (.f64 -707281/11664 (.f64 x x)) (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 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (.f64 (.f64 (.f64 x x) -707281/11664) 1)))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (/.f64 (.f64 -707281/11664 (.f64 x x)) (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 (neg.f64 (*.f64 x -841/108)) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 (neg.f64 x) -841/108) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (.f64 -1 (.f64 x -841/108)) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (*.f64 x -841/108))) 4/29)
(+.f64 4/29 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2)))
(+.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (cbrt.f64 (*.f64 x -841/108))) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (neg.f64 (.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (.f64 x x))) (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (.f64 x x)))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(+.f64 (-.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x -841/108)))) 1)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (.f64 (*.f64 x x) -707281/11664)) (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (/.f64 (.f64 -707281/11664 (.f64 x x)) (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 (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 4/29) (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (*.f64 x -841/108)))
(fma.f64 x -841/108 4/29)
(+.f64 (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 4/29) (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (neg.f64 (*.f64 x -841/108))))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 4/29) (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (*.f64 (neg.f64 x) -841/108)))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 4/29) (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (.f64 -1 (.f64 x -841/108))))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 4/29) (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (.f64 (neg.f64 (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (*.f64 x -841/108)))))
(+.f64 4/29 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2)))
(+.f64 (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 4/29) (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (cbrt.f64 (*.f64 x -841/108)))))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (.f64 x -841/108)) (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664))) 4/29))
(fma.f64 x -841/108 4/29)
(+.f64 (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (/.f64 16/841 (fma.f64 x -841/108 4/29))) (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (neg.f64 (.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (.f64 x x)))))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (.f64 x x)))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(+.f64 (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) 16/841) (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (-.f64 (.f64 x (.f64 x 707281/11664)) (*.f64 -29/27 x))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (fma.f64 x (.f64 x 707281/11664) (neg.f64 (*.f64 x -29/27)))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (fma.f64 x (.f64 x 707281/11664) (+.f64 16/841 (*.f64 x 29/27))))
(+.f64 (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (-.f64 (.f64 x (.f64 x 707281/11664)) (.f64 -29/27 x))) (.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) 16/841))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (fma.f64 x (.f64 x 707281/11664) (neg.f64 (*.f64 x -29/27)))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (fma.f64 x (.f64 x 707281/11664) (+.f64 16/841 (*.f64 x 29/27))))
(-.f64 4/29 (*.f64 x -841/108))
(+.f64 4/29 (*.f64 841/108 x))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (.f64 x x)))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -841/108 4/29))) 1)
(fma.f64 x -841/108 4/29)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 25/29)
(fma.f64 x -841/108 4/29)
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x -841/108)))) 1)
(fma.f64 x -841/108 4/29)
(.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664)) (/.f64 1 (fma.f64 x -841/108 4/29)))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (/.f64 (.f64 -707281/11664 (.f64 x x)) (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 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.f64 (+.f64 (.f64 x (.f64 x 707281/11664)) (-.f64 16/841 (.f64 -29/27 x))) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (fma.f64 x (.f64 x 707281/11664) (neg.f64 (*.f64 x -29/27)))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (fma.f64 x (.f64 x 707281/11664) (+.f64 16/841 (*.f64 x 29/27))))
(*.f64 (fma.f64 x -841/108 4/29) 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 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (/.f64 1 (fma.f64 x -841/108 4/29))))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (/.f64 (.f64 -707281/11664 (.f64 x x)) (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 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(fma.f64 x -841/108 4/29)
(.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (/.f64 1 (fma.f64 x -841/108 4/29))))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (/.f64 (.f64 -707281/11664 (.f64 x x)) (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 (cbrt.f64 (fma.f64 x -841/108 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))
(fma.f64 x -841/108 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 x -841/108 4/29)
(.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664)))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (/.f64 (.f64 -707281/11664 (.f64 x x)) (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 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 x (.f64 x 707281/11664)) (-.f64 16/841 (*.f64 -29/27 x)))))
(.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (+.f64 16/841 (.f64 29/27 x)))))
(/.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) (/.f64 (fma.f64 x (.f64 x 707281/11664) (+.f64 16/841 (*.f64 x 29/27))) 1))
(.f64 (+.f64 -16/841 (.f64 x (.f64 x 707281/11664))) (/.f64 1 (+.f64 -4/29 (.f64 x -841/108))))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x -841/108 -4/29))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664)) (sqrt.f64 (fma.f64 x -841/108 4/29))))
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(/.f64 (/.f64 (-.f64 16777216/353814783205469041 (.f64 125184900814733057351483732809459681/2518170116818978404827136 (pow.f64 (pow.f64 x 4) 3))) (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (+.f64 65536/500246412961 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))))
(pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 1)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 3) 1/3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(sqrt.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 2))
(sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2))
(log.f64 (exp.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(cbrt.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 3))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(expm1.f64 (log.f64 (+.f64 857/841 (.f64 (.f64 x x) -707281/11664))))
(expm1.f64 (log.f64 (+.f64 (.f64 -707281/11664 (.f64 x x)) 857/841)))
(expm1.f64 (log.f64 (+.f64 (.f64 x (.f64 x -707281/11664)) 857/841)))
(exp.f64 (log.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(exp.f64 (.f64 (log.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664))) 1))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(log1p.f64 (expm1.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.15%	(fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))
✓	0.46%	(*.f64 x -707281/1728)
✓	0.81%	(/.f64 1 (+.f64 29/4 (fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))))

Compiler

Compiled 42 to 26 computations (38.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (+.f64 29/4 (fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))))
0.0ms	x	@	0	(/.f64 1 (+.f64 29/4 (fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))))
0.0ms	x	@	-inf	(*.f64 x -707281/1728)
0.0ms	x	@	inf	(*.f64 x -707281/1728)
0.0ms	x	@	-inf	(/.f64 1 (+.f64 29/4 (fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))))

rewrite81.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`*-commutative`
676×	`associate-*r/`
672×	`unswap-sqr`
592×	`swap-sqr`
492×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	272	61
2	3169	57

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs
(/.f64 1 (+.f64 29/4 (fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))))
(*.f64 x -707281/1728)
(fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))

Outputs

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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))))))))

simplify107.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

978×	`associate-/l*`
726×	`associate-+r+`
556×	`associate-+l+`
534×	`associate-/r*`
514×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	302	5013
1	827	4279
2	3338	4279

Stop Event

1×	node limit

Counts

131 → 175

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(/.f64 746496/17249876309 (pow.f64 x 2))
(+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))) (*.f64 60183678025728/250246473680347348787521 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 25999348907114496/6103261246589991489578849669 (/.f64 1 (pow.f64 x 6))) (.f64 60183678025728/250246473680347348787521 (/.f64 1 (pow.f64 x 5)))))
(/.f64 746496/17249876309 (pow.f64 x 2))
(+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))) (*.f64 60183678025728/250246473680347348787521 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 25999348907114496/6103261246589991489578849669 (/.f64 1 (pow.f64 x 6))) (.f64 60183678025728/250246473680347348787521 (/.f64 1 (pow.f64 x 5)))))
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(*.f64 17249876309/746496 (pow.f64 x 2))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(*.f64 17249876309/746496 (pow.f64 x 2))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(+.f64 (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2))) 29/4) (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2))) (neg.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))))
(+.f64 (.f64 (/.f64 1 (+.f64 24389/64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3))) 841/16) (.f64 (/.f64 1 (+.f64 24389/64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3))) (.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) (-.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))) 29/4))))
(+.f64 (.f64 (/.f64 1 (+.f64 24389/64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3))) (.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) (-.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 29/4))) (.f64 (/.f64 1 (+.f64 24389/64 (pow.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))) 3))) 841/16))
(+.f64 (.f64 29/4 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2)))) (.f64 (neg.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2)))))
(+.f64 (.f64 841/16 (/.f64 1 (+.f64 24389/64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3)))) (.f64 (.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) (-.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 29/4)) (/.f64 1 (+.f64 24389/64 (pow.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))) 3)))))
(+.f64 (.f64 (.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) (-.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 29/4)) (/.f64 1 (+.f64 24389/64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3)))) (.f64 841/16 (/.f64 1 (+.f64 24389/64 (pow.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))) 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))))) 1)
(.f64 1 (/.f64 1 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))))))
(.f64 (/.f64 1 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))))) 1)
(.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) -1/2) (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))) -1/2))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))) (cbrt.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))) -2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))))))
(.f64 (-.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))) 2))))
(.f64 (+.f64 841/16 (.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) (-.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 29/4))) (/.f64 1 (+.f64 24389/64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3))))
(.f64 -1 (/.f64 1 (-.f64 -29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))))))
(.f64 (/.f64 1 (-.f64 -29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))))) -1)
(.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2))) (-.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))))
(.f64 (/.f64 1 (+.f64 24389/64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3))) (+.f64 841/16 (.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) (-.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 29/4))))
(.f64 (pow.f64 (sqrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))) -1) (pow.f64 (sqrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))))) -1))
(.f64 (pow.f64 (cbrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))))) 2) -1))
(.f64 (/.f64 1 (neg.f64 (-.f64 841/16 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2)))) (neg.f64 (-.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))))))
(.f64 (/.f64 1 (+.f64 -24389/64 (neg.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3)))) (+.f64 -841/16 (neg.f64 (.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) (-.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 29/4)))))
(.f64 (/.f64 (-.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) (-.f64 707281/256 (.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3)))) (+.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2) 841/16))
(.f64 (/.f64 (-.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) (-.f64 594823321/4096 (pow.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2) 3))) (+.f64 707281/256 (.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2) (+.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2) 841/16))))
(.f64 (/.f64 (+.f64 841/16 (.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) (-.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 29/4))) (-.f64 594823321/4096 (.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3) (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3)))) (-.f64 24389/64 (pow.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))) 3)))
(.f64 (/.f64 (+.f64 841/16 (.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) (-.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 29/4))) (+.f64 14507145975869/262144 (pow.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3) 3))) (+.f64 594823321/4096 (.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3) (-.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))) 3) 24389/64))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2) 841/16)) (-.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))) 29/4))
(.f64 (/.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) -1/2) (sqrt.f64 (-.f64 841/16 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2)))) (sqrt.f64 (-.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))))))
(.f64 (/.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) -1/2) (sqrt.f64 (+.f64 24389/64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3)))) (sqrt.f64 (+.f64 841/16 (.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) (-.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 29/4)))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 841/16 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2)))) (-.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))))
(.f64 (/.f64 -1 (+.f64 -24389/64 (neg.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3)))) (+.f64 841/16 (.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) (-.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 29/4))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) -2)) (cbrt.f64 (-.f64 841/16 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2)))) (cbrt.f64 (-.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) -2)) (cbrt.f64 (+.f64 24389/64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3)))) (cbrt.f64 (+.f64 841/16 (.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) (-.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 29/4)))))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))))) (/.f64 1 (cbrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))))) (.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))))) (/.f64 1 (cbrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) -2)))) (.f64 (cbrt.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))) -2)))))
(.f64 (.f64 (/.f64 1 (cbrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))))) (.f64 (/.f64 1 (cbrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) -2))) (cbrt.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) -2))) (cbrt.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))) -1/2))))
(pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) -1)
(pow.f64 (/.f64 1 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))) 1)
(pow.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) 3)) 1/3)
(sqrt.f64 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 29/4 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -707281/1728))) 1)
(pow.f64 (*.f64 x -707281/1728) 1)
(pow.f64 (sqrt.f64 (*.f64 x -707281/1728)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -707281/1728)) 3)
(pow.f64 (pow.f64 (*.f64 x -707281/1728) 3) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 500246412961/2985984))
(log.f64 (pow.f64 (exp.f64 -707281/1728) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -707281/1728))))
(cbrt.f64 (pow.f64 (*.f64 x -707281/1728) 3))
(expm1.f64 (log1p.f64 (*.f64 x -707281/1728)))
(exp.f64 (log.f64 (*.f64 x -707281/1728)))
(log1p.f64 (expm1.f64 (*.f64 x -707281/1728)))
(+.f64 (.f64 x -707281/1728) (.f64 x (*.f64 17249876309/746496 x)))
(+.f64 (.f64 x (.f64 17249876309/746496 x)) (*.f64 x -707281/1728))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x -707281/1728))) (-.f64 1 (.f64 x (*.f64 17249876309/746496 x))))
(-.f64 (+.f64 (.f64 x (.f64 17249876309/746496 x)) (exp.f64 (log1p.f64 (*.f64 x -707281/1728)))) 1)
(.f64 1 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))))
(.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))
(.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))
(.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))) 1)
(.f64 (sqrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) (sqrt.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))))
(.f64 (cbrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) 2) (cbrt.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))) (cbrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))) (cbrt.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))) (.f64 (cbrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) 2)) (cbrt.f64 (sqrt.f64 (.f64 x (+.f64 -707281/1728 (*.f64 17249876309/746496 x)))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 297558232675799463481/557256278016) (.f64 -500246412961/2985984 (.f64 x x))) (.f64 x (-.f64 (*.f64 17249876309/746496 x) -707281/1728)))
(/.f64 (+.f64 (pow.f64 (.f64 x -707281/1728) 3) (pow.f64 (.f64 x (.f64 17249876309/746496 x)) 3)) (+.f64 (.f64 (pow.f64 x 4) 297558232675799463481/557256278016) (.f64 (.f64 x -707281/1728) (-.f64 (.f64 x -707281/1728) (.f64 x (*.f64 17249876309/746496 x))))))
(/.f64 (.f64 1 (+.f64 (.f64 (pow.f64 x 4) 297558232675799463481/557256278016) (.f64 -500246412961/2985984 (.f64 x x)))) (.f64 x (-.f64 (.f64 17249876309/746496 x) -707281/1728)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 x -707281/1728) 3) (pow.f64 (.f64 x (.f64 17249876309/746496 x)) 3))) (+.f64 (.f64 (pow.f64 x 4) 297558232675799463481/557256278016) (.f64 (.f64 x -707281/1728) (-.f64 (.f64 x -707281/1728) (.f64 x (.f64 17249876309/746496 x))))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 4) 297558232675799463481/557256278016) (.f64 -500246412961/2985984 (.f64 x x))) 1) (.f64 x (-.f64 (.f64 17249876309/746496 x) -707281/1728)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x -707281/1728) 3) (pow.f64 (.f64 x (.f64 17249876309/746496 x)) 3)) 1) (+.f64 (.f64 (pow.f64 x 4) 297558232675799463481/557256278016) (.f64 (.f64 x -707281/1728) (-.f64 (.f64 x -707281/1728) (.f64 x (.f64 17249876309/746496 x))))))
(pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 1)
(pow.f64 (sqrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) 2)
(pow.f64 (cbrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) 3)
(pow.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2))
(log.f64 (exp.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))
(exp.f64 (log.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 4/29 (fma.f64 841/108 x (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (fma.f64 841/108 x 4/29) (*.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(+.f64 4/29 (fma.f64 841/108 x (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(+.f64 4/29 (fma.f64 841/108 x (fma.f64 -500246412961/20155392 (pow.f64 x 3) (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)))))
(+.f64 (fma.f64 841/108 x 4/29) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (*.f64 -12200509765705829/8707129344 (pow.f64 x 4))))
(/.f64 746496/17249876309 (pow.f64 x 2))
(/.f64 746496/17249876309 (*.f64 x x))
(+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
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(/.f64 (fma.f64 (pow.f64 x 4) 297558232675799463481/557256278016 (.f64 (.f64 x x) -500246412961/2985984)) (*.f64 x (fma.f64 17249876309/746496 x 707281/1728)))
(/.f64 (fma.f64 (pow.f64 x 4) 297558232675799463481/557256278016 (.f64 x (.f64 x -500246412961/2985984))) (*.f64 x (fma.f64 x 17249876309/746496 707281/1728)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x -707281/1728) 3) (pow.f64 (.f64 x (.f64 17249876309/746496 x)) 3)) 1) (+.f64 (.f64 (pow.f64 x 4) 297558232675799463481/557256278016) (.f64 (.f64 x -707281/1728) (-.f64 (.f64 x -707281/1728) (.f64 x (.f64 17249876309/746496 x))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -353814783205469041/5159780352) (pow.f64 (.f64 x (.f64 x 17249876309/746496)) 3)) (fma.f64 (pow.f64 x 4) 297558232675799463481/557256278016 (.f64 x (.f64 -707281/1728 (.f64 x (-.f64 -707281/1728 (*.f64 x 17249876309/746496)))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 -353814783205469041/5159780352 (.f64 (pow.f64 x 3) 5132842708382182842735812571629/415989582513831936))) (fma.f64 x (.f64 -707281/1728 (.f64 x (+.f64 -707281/1728 (.f64 -17249876309/746496 x)))) (.f64 (pow.f64 x 4) 297558232675799463481/557256278016)))
(/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 (.f64 x -707281/1728) (+.f64 -707281/1728 (.f64 x -17249876309/746496))) (.f64 (pow.f64 x 4) 297558232675799463481/557256278016)) (+.f64 -353814783205469041/5159780352 (*.f64 (pow.f64 x 3) 5132842708382182842735812571629/415989582513831936))))
(pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 1)
(fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(pow.f64 (sqrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) 2)
(fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(pow.f64 (cbrt.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))) 3)
(fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(pow.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3) 1/3)
(fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(sqrt.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 17249876309/746496 x -707281/1728)) 2))
(fabs.f64 (*.f64 x (fma.f64 x 17249876309/746496 -707281/1728)))
(log.f64 (exp.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))
(fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))))))
(fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x))) 3))
(fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))
(fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(exp.f64 (log.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))
(fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 -707281/1728 (.f64 17249876309/746496 x)))))
(fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.21%	(/.f64 1 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))))
✓	0.32%	(.f64 707281/11664 (.f64 x x))
✓	0.93%	(*.f64 x 29/27)
✓	30.62%	(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))

Compiler

Compiled 91 to 66 computations (27.5% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 1 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))))
0.0ms	x	@	0	(/.f64 1 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))))
0.0ms	x	@	inf	(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))
0.0ms	x	@	-inf	(*.f64 x 29/27)

rewrite112.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`associate-/r*`
442×	`add-sqr-sqrt`
422×	`add-cbrt-cube`
422×	`add-cube-cbrt`
416×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	128
1	459	114
2	5863	114

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))
(*.f64 x 29/27)
(.f64 707281/11664 (.f64 x x))
(/.f64 1 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (/.f64 (.f64 x 29/27) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)) (/.f64 1 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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(2) ((x .f64 (/.f64 (hypot.f64 (.f64 x 841/108) (sqrt.f64 (+.f64 16/841 (.f64 x -29/27)))) 1) (/.f64 (hypot.f64 (.f64 x 841/108) (sqrt.f64 (+.f64 16/841 (.f64 x -29/27)))) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 (.f64 x 841/108) (sqrt.f64 (+.f64 16/841 (.f64 x -29/27)))) (cbrt.f64 (pow.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) 2))) (/.f64 (hypot.f64 (.f64 x 841/108) (sqrt.f64 (+.f64 16/841 (.f64 x -29/27)))) (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27))) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)) 2)) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 29/27))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 29/27) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 29/27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 29/27)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 24389/19683) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 841/729))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 29/27) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) 24389/19683))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 29/27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 29/27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 29/27)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 29/27)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 707281/11664 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 707281/11664 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 841/108) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 707281/11664 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 x (.f64 707281/11664 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 707281/11664 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 707281/11664 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 707281/11664 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 707281/11664 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (*.f64 707281/11664 x))))))))
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simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1612×	`distribute-lft-in`
1610×	`associate-*r/`
1410×	`associate-*l/`
1036×	`associate-/r*`
1028×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	6088
1	816	5560
2	3015	5558

Stop Event

1×	node limit

Counts

156 → 185

Calls

Call 1

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

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

eval477.0ms (6.4%)

Compiler: Compiled 19524 to 14974 computations (23.3% saved)

prune156.0ms (2.1%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	854	4	858
Fresh	1	3	4
Picked	0	1	1
Done	3	4	7
Total	858	12	870

Error

0.01%

Counts

870 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.1%	(/.f64 (/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664))) (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (+.f64 4/29 (.f64 x -841/108)))
✓	21.67%	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 4/29 (*.f64 x -841/108)))
	31.41%	(/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))))
▶	73.41%	(/.f64 (.f64 -707281/11664 (.f64 x x)) (+.f64 4/29 (*.f64 x -841/108)))
✓	31.41%	(/.f64 1 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))))
✓	51.53%	(/.f64 1 (/.f64 108/841 x))
▶	47.46%	(/.f64 1 (+.f64 29/4 (.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))))
✓	0.16%	(+.f64 (*.f64 841/108 x) 4/29)
▶	21.73%	(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
▶	51.53%	(*.f64 841/108 (pow.f64 (/.f64 1 x) -1))
✓	51.44%	(*.f64 841/108 x)
	47.96%	4/29

Compiler

Compiled 246 to 194 computations (21.1% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.22%	(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
	0.24%	(*.f64 x -841/108)
✓	0.24%	(*.f64 x -707281/11664)
✓	20.17%	(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))

Compiler

Compiled 52 to 40 computations (23.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
0.0ms	x	@	inf	(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
0.0ms	x	@	0	(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
0.0ms	x	@	0	(*.f64 x -707281/11664)
0.0ms	x	@	inf	(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))

rewrite104.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`associate-*l/`
796×	`associate-/r*`
656×	`associate-/l*`
596×	`associate-/r/`
328×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	332	63
2	4177	63

Stop Event

1×	node limit

Counts

3 → 205

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 -4/29 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 (*.f64 707281/11664 (*.f64 x x)) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 -4/29 (*.f64 x -841/108))) (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))) (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 -4/29 (*.f64 x -841/108))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))) (/.f64 (*.f64 x x) (/.f64 (-.f64 -4/29 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simplify150.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate-/l*`
806×	`associate-r`
700×	`associate-l`
576×	`+-commutative`
564×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	583	12077
1	1695	9745
2	7804	9745

Stop Event

1×	node limit

Counts

241 → 323

Calls

Call 1

Inputs
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 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)
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(log1p.f64 (expm1.f64 (*.f64 x -707281/11664)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))))) 1)
(.f64 1 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))))
(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) 1)
(.f64 (pow.f64 (-.f64 -4/29 (.f64 x -841/108)) -1/2) (pow.f64 (-.f64 -4/29 (*.f64 x -841/108)) -1/2))
(.f64 (/.f64 1 (cbrt.f64 (-.f64 -4/29 (.f64 x -841/108)))) (cbrt.f64 (pow.f64 (-.f64 -4/29 (*.f64 x -841/108)) -2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 -4/29 (.f64 x -841/108)) -2)) (/.f64 1 (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108)))))
(.f64 -1 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) -1)
(.f64 (/.f64 1 (-.f64 16/841 (.f64 707281/11664 (.f64 x x)))) (+.f64 -4/29 (.f64 x -841/108)))
(.f64 (/.f64 1 (-.f64 -64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (.f64 (.f64 x -841/108) (+.f64 -4/29 (*.f64 x -841/108)))))
(.f64 (pow.f64 (sqrt.f64 (-.f64 -4/29 (.f64 x -841/108))) -1) (pow.f64 (sqrt.f64 (-.f64 -4/29 (*.f64 x -841/108))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 -4/29 (.f64 x -841/108))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108))) -1))
(.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x -841/108) (+.f64 -4/29 (.f64 x -841/108)))) (-.f64 4096/594823321 (.f64 (.f64 -594823321/1259712 (pow.f64 x 3)) (.f64 -594823321/1259712 (pow.f64 x 3))))) (+.f64 -64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x -841/108) (+.f64 -4/29 (.f64 x -841/108)))) (-.f64 -262144/14507145975869 (pow.f64 (.f64 -594823321/1259712 (pow.f64 x 3)) 3))) (+.f64 4096/594823321 (+.f64 (.f64 (.f64 -594823321/1259712 (pow.f64 x 3)) (.f64 -594823321/1259712 (pow.f64 x 3))) (.f64 -64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))))
(.f64 (/.f64 1 (neg.f64 (-.f64 16/841 (.f64 707281/11664 (.f64 x x))))) (neg.f64 (+.f64 -4/29 (.f64 x -841/108))))
(.f64 (/.f64 1 (neg.f64 (-.f64 -64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (neg.f64 (+.f64 16/841 (.f64 (.f64 x -841/108) (+.f64 -4/29 (*.f64 x -841/108))))))
(.f64 (/.f64 1 (-.f64 16/841 (.f64 (.f64 x 841/108) (.f64 x 841/108)))) (+.f64 -4/29 (*.f64 x -841/108)))
(.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 (.f64 x 841/108) 3))) (-.f64 (+.f64 16/841 (.f64 (.f64 x 841/108) (.f64 x 841/108))) (.f64 -4/29 (*.f64 x 841/108))))
(.f64 (/.f64 (pow.f64 (-.f64 -4/29 (.f64 x -841/108)) -1/2) (sqrt.f64 (-.f64 16/841 (.f64 707281/11664 (.f64 x x))))) (sqrt.f64 (+.f64 -4/29 (*.f64 x -841/108))))
(.f64 (/.f64 (pow.f64 (-.f64 -4/29 (.f64 x -841/108)) -1/2) (sqrt.f64 (-.f64 -64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x -841/108) (+.f64 -4/29 (.f64 x -841/108))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 16/841 (.f64 707281/11664 (.f64 x x))))) (+.f64 -4/29 (.f64 x -841/108)))
(.f64 (/.f64 -1 (neg.f64 (-.f64 -64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (.f64 (.f64 x -841/108) (+.f64 -4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -4/29 (.f64 x -841/108)) -2)) (cbrt.f64 (-.f64 16/841 (.f64 707281/11664 (.f64 x x))))) (cbrt.f64 (+.f64 -4/29 (*.f64 x -841/108))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -4/29 (.f64 x -841/108)) -2)) (cbrt.f64 (-.f64 -64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x -841/108) (+.f64 -4/29 (.f64 x -841/108))))))
(.f64 (/.f64 (+.f64 -4/29 (.f64 x -841/108)) (-.f64 256/707281 (.f64 (.f64 707281/11664 (.f64 x x)) (.f64 707281/11664 (.f64 x x))))) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(.f64 (/.f64 (+.f64 -4/29 (.f64 x -841/108)) (-.f64 4096/594823321 (pow.f64 (.f64 707281/11664 (.f64 x x)) 3))) (+.f64 (+.f64 256/707281 (.f64 (.f64 707281/11664 (.f64 x x)) (.f64 707281/11664 (.f64 x x)))) (.f64 16/841 (.f64 707281/11664 (.f64 x x)))))
(pow.f64 (-.f64 -4/29 (*.f64 x -841/108)) -1)
(pow.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))) 1)
(pow.f64 (pow.f64 (-.f64 -4/29 (*.f64 x -841/108)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 -4/29 (*.f64 x -841/108)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 -4/29 (*.f64 x -841/108)))))
(exp.f64 (.f64 (log.f64 (-.f64 -4/29 (.f64 x -841/108))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (-.f64 -4/29 (.f64 x -841/108)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))))

Outputs
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 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
-29/4
(-.f64 (*.f64 -707281/1728 x) 29/4)
(fma.f64 -707281/1728 x -29/4)
(fma.f64 x -707281/1728 -29/4)
(-.f64 (+.f64 (.f64 -17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x)) 29/4)
(+.f64 (.f64 -17249876309/746496 (.f64 x x)) (fma.f64 -707281/1728 x -29/4))
(fma.f64 -17249876309/746496 (*.f64 x x) (fma.f64 x -707281/1728 -29/4))
(-.f64 (+.f64 (.f64 -17249876309/746496 (pow.f64 x 2)) (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 3)) (*.f64 -707281/1728 x))) 29/4)
(+.f64 (fma.f64 -17249876309/746496 (.f64 x x) (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (.f64 x -707281/1728))) -29/4)
(+.f64 (fma.f64 -17249876309/746496 (.f64 x x) (.f64 -420707233300201/322486272 (pow.f64 x 3))) (fma.f64 x -707281/1728 -29/4))
(+.f64 (fma.f64 x -707281/1728 -29/4) (fma.f64 -17249876309/746496 (.f64 x x) (.f64 -420707233300201/322486272 (pow.f64 x 3))))
(/.f64 108/841 x)
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(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 20155392/500246412961 (pow.f64 x 3))))
(+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3)))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))
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(/.f64 108/841 x)
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(+.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (/.f64 707281/11664 (/.f64 (-.f64 -4/29 (.f64 x -841/108)) (*.f64 x x))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -16/841 (.f64 707281/11664 (.f64 x x))) (-.f64 -4/29 (*.f64 x -841/108))))) 1)
(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (-.f64 -4/29 (.f64 x -841/108)))
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (/.f64 (.f64 x x) (/.f64 (-.f64 -4/29 (*.f64 x -841/108)) -707281/11664)))
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (.f64 (/.f64 (.f64 x x) (-.f64 -4/29 (.f64 x -841/108))) -707281/11664))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (*.f64 (/.f64 x (-.f64 46656/20511149 (/.f64 x 841/108))) x))
(/.f64 1 (/.f64 (-.f64 -4/29 (.f64 x -841/108)) (+.f64 -16/841 (.f64 707281/11664 (*.f64 x x)))))
(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (-.f64 -4/29 (.f64 x -841/108)))
(/.f64 1 (/.f64 (.f64 (-.f64 -4/29 (.f64 x -841/108)) (+.f64 -16/841 (.f64 x (.f64 x -707281/11664)))) (-.f64 256/707281 (pow.f64 (.f64 x (.f64 x -707281/11664)) 2))))
(.f64 (/.f64 1 (.f64 (-.f64 -4/29 (.f64 x -841/108)) (+.f64 -16/841 (.f64 x (.f64 x -707281/11664))))) (-.f64 256/707281 (pow.f64 (.f64 x (*.f64 x -707281/11664)) 2)))
(/.f64 (+.f64 256/707281 (.f64 -500246412961/136048896 (pow.f64 x 4))) (.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (fma.f64 x -841/108 4/29)))
(/.f64 1 (/.f64 (.f64 (-.f64 -4/29 (.f64 x -841/108)) (+.f64 256/707281 (.f64 (.f64 x (.f64 x -707281/11664)) (+.f64 -16/841 (.f64 x (.f64 x -707281/11664)))))) (-.f64 -4096/594823321 (.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))))
(/.f64 1 (/.f64 (-.f64 -4/29 (.f64 x -841/108)) (/.f64 (-.f64 -4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (+.f64 256/707281 (.f64 (.f64 x (.f64 x -707281/11664)) (+.f64 -16/841 (.f64 x (.f64 x -707281/11664))))))))
(/.f64 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321) (.f64 (-.f64 -4/29 (.f64 x -841/108)) (fma.f64 841/729 (*.f64 x x) (fma.f64 500246412961/136048896 (pow.f64 x 4) 256/707281))))
(/.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (/.f64 1 (+.f64 -16/841 (.f64 707281/11664 (*.f64 x x)))))
(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (-.f64 -4/29 (.f64 x -841/108)))
(/.f64 (+.f64 -16/841 (.f64 707281/11664 (.f64 x x))) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (-.f64 -4/29 (.f64 x -841/108)))
(/.f64 (+.f64 -16/841 (.f64 707281/11664 (.f64 x x))) (neg.f64 (+.f64 4/29 (*.f64 x -841/108))))
(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (-.f64 -4/29 (.f64 x -841/108)))
(/.f64 (/.f64 (+.f64 -16/841 (.f64 707281/11664 (.f64 x x))) (-.f64 -4/29 (*.f64 x -841/108))) 1)
(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (-.f64 -4/29 (.f64 x -841/108)))
(/.f64 (sqrt.f64 (+.f64 -16/841 (.f64 707281/11664 (.f64 x x)))) (/.f64 (-.f64 -4/29 (.f64 x -841/108)) (sqrt.f64 (+.f64 -16/841 (.f64 707281/11664 (*.f64 x x))))))
(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (-.f64 -4/29 (.f64 x -841/108)))
(/.f64 (cbrt.f64 (+.f64 -16/841 (.f64 707281/11664 (.f64 x x)))) (/.f64 (-.f64 -4/29 (.f64 x -841/108)) (pow.f64 (cbrt.f64 (+.f64 -16/841 (.f64 707281/11664 (*.f64 x x)))) 2)))
(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (-.f64 -4/29 (.f64 x -841/108)))
(/.f64 (cbrt.f64 (+.f64 -16/841 (.f64 707281/11664 (.f64 x x)))) (/.f64 (/.f64 (-.f64 -4/29 (.f64 x -841/108)) (sqrt.f64 (+.f64 -16/841 (.f64 707281/11664 (.f64 x x))))) (cbrt.f64 (sqrt.f64 (+.f64 -16/841 (.f64 707281/11664 (*.f64 x x)))))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (/.f64 (-.f64 -4/29 (.f64 x -841/108)) (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841))))
(/.f64 (.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (cbrt.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)))) (/.f64 (-.f64 -4/29 (.f64 x -841/108)) (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))))
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(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -4/29 (.f64 x -841/108)) -2)) (cbrt.f64 (-.f64 -64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x -841/108) (+.f64 -4/29 (.f64 x -841/108))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -4/29 (.f64 x -841/108)) -2)) (cbrt.f64 (-.f64 -64/24389 (.f64 (pow.f64 x 3) -594823321/1259712)))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x -841/108) (+.f64 (.f64 x -841/108) -4/29)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -4/29 (.f64 x -841/108)) -2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389))) (cbrt.f64 (fma.f64 x (*.f64 -841/108 (fma.f64 x -841/108 -4/29)) 16/841)))
(.f64 (/.f64 (+.f64 -4/29 (.f64 x -841/108)) (-.f64 256/707281 (.f64 (.f64 707281/11664 (.f64 x x)) (.f64 707281/11664 (.f64 x x))))) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(.f64 (/.f64 (+.f64 (.f64 x -841/108) -4/29) (-.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(.f64 (/.f64 (fma.f64 x -841/108 -4/29) (+.f64 256/707281 (.f64 -500246412961/136048896 (pow.f64 x 4)))) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(.f64 (/.f64 (+.f64 -4/29 (.f64 x -841/108)) (-.f64 4096/594823321 (pow.f64 (.f64 707281/11664 (.f64 x x)) 3))) (+.f64 (+.f64 256/707281 (.f64 (.f64 707281/11664 (.f64 x x)) (.f64 707281/11664 (.f64 x x)))) (.f64 16/841 (.f64 707281/11664 (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x -841/108) -4/29) (-.f64 4096/594823321 (pow.f64 (.f64 707281/11664 (.f64 x x)) 3))) (+.f64 256/707281 (+.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 841/729 (*.f64 x x)))))
(/.f64 (fma.f64 x -841/108 -4/29) (/.f64 (+.f64 (.f64 (pow.f64 x 6) -353814783205469041/1586874322944) 4096/594823321) (fma.f64 841/729 (.f64 x x) (fma.f64 500246412961/136048896 (pow.f64 x 4) 256/707281))))
(pow.f64 (-.f64 -4/29 (*.f64 x -841/108)) -1)
(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 -1 (fma.f64 x -841/108 4/29))
(pow.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))) 1)
(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 -1 (fma.f64 x -841/108 4/29))
(pow.f64 (pow.f64 (-.f64 -4/29 (*.f64 x -841/108)) -1/2) 2)
(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 -1 (fma.f64 x -841/108 4/29))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108)))) 3)
(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 -1 (fma.f64 x -841/108 4/29))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))) 3) 1/3)
(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 -1 (fma.f64 x -841/108 4/29))
(sqrt.f64 (pow.f64 (-.f64 -4/29 (*.f64 x -841/108)) -2))
(fabs.f64 (/.f64 -1 (fma.f64 x -841/108 4/29)))
(log.f64 (exp.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))))
(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 -1 (fma.f64 x -841/108 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))))))
(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 -1 (fma.f64 x -841/108 4/29))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))) 3))
(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 -1 (fma.f64 x -841/108 4/29))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))))
(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 -1 (fma.f64 x -841/108 4/29))
(exp.f64 (neg.f64 (log.f64 (-.f64 -4/29 (*.f64 x -841/108)))))
(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 -1 (fma.f64 x -841/108 4/29))
(exp.f64 (.f64 (log.f64 (-.f64 -4/29 (.f64 x -841/108))) -1))
(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 -1 (fma.f64 x -841/108 4/29))
(exp.f64 (.f64 (neg.f64 (log.f64 (-.f64 -4/29 (.f64 x -841/108)))) 1))
(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 -1 (fma.f64 x -841/108 4/29))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))))
(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 -1 (fma.f64 x -841/108 4/29))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (*.f64 17249876309/746496 x) -707281/1728)
✓	0.1%	(*.f64 17249876309/746496 x)
✓	0.32%	(.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))
✓	0.81%	(/.f64 1 (+.f64 29/4 (.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))))

Compiler

Compiled 41 to 32 computations (22% saved)

series2.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))
0.0ms	x	@	inf	(*.f64 17249876309/746496 x)
0.0ms	x	@	-inf	(*.f64 17249876309/746496 x)
0.0ms	x	@	0	(.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))
0.0ms	x	@	inf	(/.f64 1 (+.f64 29/4 (.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))))

rewrite110.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`associate-*r/`
1106×	`associate-*l/`
834×	`distribute-rgt-in`
800×	`distribute-lft-in`
382×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	270	54
2	3396	54

Stop Event

1×	node limit

Counts

4 → 208

Calls

Call 1

Inputs
(/.f64 1 (+.f64 29/4 (.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))))
(.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))
(*.f64 17249876309/746496 x)
(+.f64 (*.f64 17249876309/746496 x) -707281/1728)

Outputs
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simplify153.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

828×	`associate-r`
828×	`+-commutative`
824×	`associate-l`
674×	`associate-+r+`
666×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	582	9774
1	1587	8854
2	6769	8854

Stop Event

1×	node limit

Counts

244 → 309

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(/.f64 746496/17249876309 (pow.f64 x 2))
(+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))) (*.f64 60183678025728/250246473680347348787521 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 25999348907114496/6103261246589991489578849669 (/.f64 1 (pow.f64 x 6))) (.f64 60183678025728/250246473680347348787521 (/.f64 1 (pow.f64 x 5)))))
(/.f64 746496/17249876309 (pow.f64 x 2))
(+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))) (*.f64 60183678025728/250246473680347348787521 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 25999348907114496/6103261246589991489578849669 (/.f64 1 (pow.f64 x 6))) (.f64 60183678025728/250246473680347348787521 (/.f64 1 (pow.f64 x 5)))))
(*.f64 -707281/1728 x)
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(*.f64 17249876309/746496 (pow.f64 x 2))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(*.f64 17249876309/746496 (pow.f64 x 2))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
-707281/1728
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(*.f64 17249876309/746496 x)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(*.f64 17249876309/746496 x)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(+.f64 (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) 29/4) (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) (neg.f64 (*.f64 x (fma.f64 x 17249876309/746496 -707281/1728)))))
(+.f64 (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) 29/4) (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) (.f64 -1 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)))))
(+.f64 (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) 29/4) (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) (*.f64 (neg.f64 x) (fma.f64 x 17249876309/746496 -707281/1728))))
(+.f64 (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) 29/4) (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) (*.f64 (neg.f64 (fma.f64 x 17249876309/746496 -707281/1728)) x)))
(+.f64 (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) 29/4) (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) (.f64 (neg.f64 (sqrt.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)))) (sqrt.f64 (*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))))))
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(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x 17249876309/746496 -707281/1728)) 2) (cbrt.f64 (+.f64 (.f64 (*.f64 x x) 297558232675799463481/557256278016) -500246412961/2985984))) (cbrt.f64 (fma.f64 x 17249876309/746496 707281/1728)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x 17249876309/746496 -707281/1728)) 2) (cbrt.f64 (+.f64 -353814783205469041/5159780352 (pow.f64 (.f64 x 17249876309/746496) 3)))) (cbrt.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (*.f64 x -12200509765705829/1289945088)))))
(/.f64 (.f64 (+.f64 (.f64 (*.f64 x x) 297558232675799463481/557256278016) -500246412961/2985984) 1) (fma.f64 x 17249876309/746496 707281/1728))
(/.f64 (.f64 (+.f64 -353814783205469041/5159780352 (pow.f64 (.f64 x 17249876309/746496) 3)) 1) (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (*.f64 x -12200509765705829/1289945088))))
(/.f64 (.f64 (-.f64 500246412961/2985984 (.f64 (.f64 x x) 297558232675799463481/557256278016)) 1) (-.f64 -707281/1728 (.f64 x 17249876309/746496)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (*.f64 x x) 297558232675799463481/557256278016) -500246412961/2985984)) 1) (neg.f64 (fma.f64 x 17249876309/746496 707281/1728)))
(/.f64 (.f64 (neg.f64 (+.f64 -353814783205469041/5159780352 (pow.f64 (.f64 x 17249876309/746496) 3))) 1) (neg.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (*.f64 x -12200509765705829/1289945088)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (*.f64 x x) 297558232675799463481/557256278016) -500246412961/2985984)) (sqrt.f64 (fma.f64 x 17249876309/746496 -707281/1728))) (sqrt.f64 (fma.f64 x 17249876309/746496 707281/1728)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -353814783205469041/5159780352 (pow.f64 (.f64 x 17249876309/746496) 3))) (sqrt.f64 (fma.f64 x 17249876309/746496 -707281/1728))) (sqrt.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (*.f64 x -12200509765705829/1289945088)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (*.f64 x x) 297558232675799463481/557256278016) -500246412961/2985984)) (pow.f64 (cbrt.f64 (fma.f64 x 17249876309/746496 -707281/1728)) 2)) (cbrt.f64 (fma.f64 x 17249876309/746496 707281/1728)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -353814783205469041/5159780352 (pow.f64 (.f64 x 17249876309/746496) 3))) (pow.f64 (cbrt.f64 (fma.f64 x 17249876309/746496 -707281/1728)) 2)) (cbrt.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (*.f64 x -12200509765705829/1289945088)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (.f64 (.f64 x x) 297558232675799463481/557256278016)) 250246473680347348787521/8916100448256) (/.f64 1 (fma.f64 x 17249876309/746496 707281/1728))) (+.f64 500246412961/2985984 (.f64 (.f64 x x) 297558232675799463481/557256278016)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) 3) 125184900814733057351483732809459681/26623333280885243904) (/.f64 1 (fma.f64 x 17249876309/746496 707281/1728))) (+.f64 (.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (.f64 (.f64 x x) 297558232675799463481/557256278016)) (+.f64 250246473680347348787521/8916100448256 (.f64 (.f64 (*.f64 x x) 297558232675799463481/557256278016) 500246412961/2985984))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 x 17249876309/746496) 3) (pow.f64 (.f64 x 17249876309/746496) 3)) 125184900814733057351483732809459681/26623333280885243904) (/.f64 1 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (.f64 x -12200509765705829/1289945088))))) (-.f64 (pow.f64 (.f64 x 17249876309/746496) 3) -353814783205469041/5159780352))
(/.f64 (.f64 (+.f64 -44292268542362921407825091617016319887724139383235921/137370551967459378662586974208 (pow.f64 (pow.f64 (.f64 x 17249876309/746496) 3) 3)) (/.f64 1 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (.f64 x -12200509765705829/1289945088))))) (+.f64 (.f64 (pow.f64 (.f64 x 17249876309/746496) 3) (pow.f64 (.f64 x 17249876309/746496) 3)) (-.f64 125184900814733057351483732809459681/26623333280885243904 (.f64 (pow.f64 (.f64 x 17249876309/746496) 3) -353814783205469041/5159780352))))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) -500246412961/2985984) 1) (fma.f64 x 17249876309/746496 707281/1728))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) -500246412961/2985984) (sqrt.f64 (fma.f64 x 17249876309/746496 707281/1728))) (sqrt.f64 (fma.f64 x 17249876309/746496 707281/1728)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) -500246412961/2985984) (*.f64 (cbrt.f64 (fma.f64 x 17249876309/746496 707281/1728)) (cbrt.f64 (fma.f64 x 17249876309/746496 707281/1728)))) (cbrt.f64 (fma.f64 x 17249876309/746496 707281/1728)))
(/.f64 (/.f64 (+.f64 -353814783205469041/5159780352 (pow.f64 (.f64 x 17249876309/746496) 3)) 1) (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (.f64 x -12200509765705829/1289945088))))
(/.f64 (/.f64 (+.f64 -353814783205469041/5159780352 (pow.f64 (.f64 x 17249876309/746496) 3)) (sqrt.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (.f64 x -12200509765705829/1289945088))))) (sqrt.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (*.f64 x -12200509765705829/1289945088)))))
(/.f64 (/.f64 (+.f64 -353814783205469041/5159780352 (pow.f64 (.f64 x 17249876309/746496) 3)) (.f64 (cbrt.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (.f64 x -12200509765705829/1289945088)))) (cbrt.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (.f64 x -12200509765705829/1289945088)))))) (cbrt.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (*.f64 x -12200509765705829/1289945088)))))
(pow.f64 (fma.f64 x 17249876309/746496 -707281/1728) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 17249876309/746496 -707281/1728)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 17249876309/746496 -707281/1728)) 3)
(pow.f64 (pow.f64 (fma.f64 x 17249876309/746496 -707281/1728) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 17249876309/746496 -707281/1728) 2))
(log.f64 (exp.f64 (fma.f64 x 17249876309/746496 -707281/1728)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 17249876309/746496 -707281/1728))))
(cbrt.f64 (pow.f64 (fma.f64 x 17249876309/746496 -707281/1728) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 17249876309/746496 -707281/1728)))
(exp.f64 (log.f64 (fma.f64 x 17249876309/746496 -707281/1728)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 17249876309/746496 -707281/1728)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 17249876309/746496 -707281/1728)))
(fma.f64 1 (*.f64 x 17249876309/746496) -707281/1728)
(fma.f64 x 17249876309/746496 -707281/1728)
(fma.f64 17249876309/746496 x -707281/1728)
(fma.f64 (sqrt.f64 (.f64 x 17249876309/746496)) (sqrt.f64 (.f64 x 17249876309/746496)) -707281/1728)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 17249876309/746496)) 2) (cbrt.f64 (.f64 x 17249876309/746496)) -707281/1728)

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 4/29 (fma.f64 841/108 x (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (fma.f64 841/108 x 4/29) (*.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(+.f64 4/29 (fma.f64 841/108 x (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(+.f64 (fma.f64 841/108 x 4/29) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (*.f64 -12200509765705829/8707129344 (pow.f64 x 4))))
(/.f64 746496/17249876309 (pow.f64 x 2))
(/.f64 746496/17249876309 (*.f64 x x))
(+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))) (*.f64 60183678025728/250246473680347348787521 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (-.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 60183678025728/250246473680347348787521 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 25999348907114496/6103261246589991489578849669 (/.f64 1 (pow.f64 x 6))) (.f64 60183678025728/250246473680347348787521 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (+.f64 (/.f64 60183678025728/250246473680347348787521 (pow.f64 x 5)) (/.f64 25999348907114496/6103261246589991489578849669 (pow.f64 x 6))))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (-.f64 (-.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 60183678025728/250246473680347348787521 (pow.f64 x 5))) (/.f64 25999348907114496/6103261246589991489578849669 (pow.f64 x 6))))
(/.f64 746496/17249876309 (pow.f64 x 2))
(/.f64 746496/17249876309 (*.f64 x x))
(+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))) (*.f64 60183678025728/250246473680347348787521 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (-.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 60183678025728/250246473680347348787521 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 25999348907114496/6103261246589991489578849669 (/.f64 1 (pow.f64 x 6))) (.f64 60183678025728/250246473680347348787521 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (+.f64 (/.f64 60183678025728/250246473680347348787521 (pow.f64 x 5)) (/.f64 25999348907114496/6103261246589991489578849669 (pow.f64 x 6))))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (-.f64 (-.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 60183678025728/250246473680347348787521 (pow.f64 x 5))) (/.f64 25999348907114496/6103261246589991489578849669 (pow.f64 x 6))))
(*.f64 -707281/1728 x)
(*.f64 x -707281/1728)
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(*.f64 17249876309/746496 (pow.f64 x 2))
(.f64 x (.f64 x 17249876309/746496))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(*.f64 17249876309/746496 (pow.f64 x 2))
(.f64 x (.f64 x 17249876309/746496))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
(*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))
-707281/1728
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(fma.f64 x 17249876309/746496 -707281/1728)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(fma.f64 x 17249876309/746496 -707281/1728)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(fma.f64 x 17249876309/746496 -707281/1728)
(*.f64 17249876309/746496 x)
(*.f64 x 17249876309/746496)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(fma.f64 x 17249876309/746496 -707281/1728)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(fma.f64 x 17249876309/746496 -707281/1728)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(fma.f64 x 17249876309/746496 -707281/1728)
(*.f64 17249876309/746496 x)
(*.f64 x 17249876309/746496)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(fma.f64 x 17249876309/746496 -707281/1728)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(fma.f64 x 17249876309/746496 -707281/1728)
(-.f64 (*.f64 17249876309/746496 x) 707281/1728)
(fma.f64 x 17249876309/746496 -707281/1728)
(+.f64 (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) 29/4) (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) (neg.f64 (*.f64 x (fma.f64 x 17249876309/746496 -707281/1728)))))
(/.f64 (.f64 1 (-.f64 29/4 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)))) (-.f64 841/16 (pow.f64 (*.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2)))
(/.f64 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) -29/4) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2) -841/16))
(+.f64 (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) 29/4) (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) (.f64 -1 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)))))
(/.f64 (.f64 1 (-.f64 29/4 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)))) (-.f64 841/16 (pow.f64 (*.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2)))
(/.f64 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) -29/4) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2) -841/16))
(+.f64 (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) 29/4) (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) (*.f64 (neg.f64 x) (fma.f64 x 17249876309/746496 -707281/1728))))
(/.f64 (.f64 1 (-.f64 29/4 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)))) (-.f64 841/16 (pow.f64 (*.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2)))
(/.f64 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) -29/4) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2) -841/16))
(+.f64 (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) 29/4) (.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) (*.f64 (neg.f64 (fma.f64 x 17249876309/746496 -707281/1728)) x)))
(/.f64 (.f64 1 (-.f64 29/4 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)))) (-.f64 841/16 (pow.f64 (*.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2)))
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(/.f64 (+.f64 -353814783205469041/5159780352 (.f64 (pow.f64 x 3) 5132842708382182842735812571629/415989582513831936)) (+.f64 500246412961/2985984 (fma.f64 (.f64 x x) 297558232675799463481/557256278016 (neg.f64 (*.f64 x -12200509765705829/1289945088)))))
(/.f64 (fma.f64 (pow.f64 x 3) 5132842708382182842735812571629/415989582513831936 -353814783205469041/5159780352) (+.f64 500246412961/2985984 (.f64 x (-.f64 (.f64 x 297558232675799463481/557256278016) -12200509765705829/1289945088))))
(/.f64 (/.f64 (+.f64 -353814783205469041/5159780352 (pow.f64 (.f64 x 17249876309/746496) 3)) (sqrt.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (.f64 x -12200509765705829/1289945088))))) (sqrt.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (*.f64 x -12200509765705829/1289945088)))))
(/.f64 (+.f64 -353814783205469041/5159780352 (.f64 (pow.f64 x 3) 5132842708382182842735812571629/415989582513831936)) (+.f64 500246412961/2985984 (fma.f64 (.f64 x x) 297558232675799463481/557256278016 (neg.f64 (*.f64 x -12200509765705829/1289945088)))))
(/.f64 (fma.f64 (pow.f64 x 3) 5132842708382182842735812571629/415989582513831936 -353814783205469041/5159780352) (+.f64 500246412961/2985984 (.f64 x (-.f64 (.f64 x 297558232675799463481/557256278016) -12200509765705829/1289945088))))
(/.f64 (/.f64 (+.f64 -353814783205469041/5159780352 (pow.f64 (.f64 x 17249876309/746496) 3)) (.f64 (cbrt.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (.f64 x -12200509765705829/1289945088)))) (cbrt.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (.f64 x -12200509765705829/1289945088)))))) (cbrt.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (*.f64 x -12200509765705829/1289945088)))))
(/.f64 (+.f64 -353814783205469041/5159780352 (.f64 (pow.f64 x 3) 5132842708382182842735812571629/415989582513831936)) (+.f64 500246412961/2985984 (fma.f64 (.f64 x x) 297558232675799463481/557256278016 (neg.f64 (*.f64 x -12200509765705829/1289945088)))))
(/.f64 (fma.f64 (pow.f64 x 3) 5132842708382182842735812571629/415989582513831936 -353814783205469041/5159780352) (+.f64 500246412961/2985984 (.f64 x (-.f64 (.f64 x 297558232675799463481/557256278016) -12200509765705829/1289945088))))
(pow.f64 (fma.f64 x 17249876309/746496 -707281/1728) 1)
(fma.f64 x 17249876309/746496 -707281/1728)
(pow.f64 (sqrt.f64 (fma.f64 x 17249876309/746496 -707281/1728)) 2)
(fma.f64 x 17249876309/746496 -707281/1728)
(pow.f64 (cbrt.f64 (fma.f64 x 17249876309/746496 -707281/1728)) 3)
(fma.f64 x 17249876309/746496 -707281/1728)
(pow.f64 (pow.f64 (fma.f64 x 17249876309/746496 -707281/1728) 3) 1/3)
(fma.f64 x 17249876309/746496 -707281/1728)
(sqrt.f64 (pow.f64 (fma.f64 x 17249876309/746496 -707281/1728) 2))
(fabs.f64 (fma.f64 x 17249876309/746496 -707281/1728))
(log.f64 (exp.f64 (fma.f64 x 17249876309/746496 -707281/1728)))
(fma.f64 x 17249876309/746496 -707281/1728)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 17249876309/746496 -707281/1728))))
(fma.f64 x 17249876309/746496 -707281/1728)
(cbrt.f64 (pow.f64 (fma.f64 x 17249876309/746496 -707281/1728) 3))
(fma.f64 x 17249876309/746496 -707281/1728)
(expm1.f64 (log1p.f64 (fma.f64 x 17249876309/746496 -707281/1728)))
(fma.f64 x 17249876309/746496 -707281/1728)
(exp.f64 (log.f64 (fma.f64 x 17249876309/746496 -707281/1728)))
(fma.f64 x 17249876309/746496 -707281/1728)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 17249876309/746496 -707281/1728)) 1))
(fma.f64 x 17249876309/746496 -707281/1728)
(log1p.f64 (expm1.f64 (fma.f64 x 17249876309/746496 -707281/1728)))
(fma.f64 x 17249876309/746496 -707281/1728)
(fma.f64 1 (*.f64 x 17249876309/746496) -707281/1728)
(fma.f64 x 17249876309/746496 -707281/1728)
(fma.f64 x 17249876309/746496 -707281/1728)
(fma.f64 17249876309/746496 x -707281/1728)
(fma.f64 x 17249876309/746496 -707281/1728)
(fma.f64 (sqrt.f64 (.f64 x 17249876309/746496)) (sqrt.f64 (.f64 x 17249876309/746496)) -707281/1728)
(fma.f64 x 17249876309/746496 -707281/1728)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 17249876309/746496)) 2) (cbrt.f64 (.f64 x 17249876309/746496)) -707281/1728)
(fma.f64 x 17249876309/746496 -707281/1728)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 4/29 (*.f64 x -841/108))
	0.24%	(*.f64 x -841/108)
	0.32%	(.f64 -707281/11664 (.f64 x x))
✓	20.37%	(/.f64 (.f64 -707281/11664 (.f64 x x)) (+.f64 4/29 (*.f64 x -841/108)))

Compiler

Compiled 32 to 20 computations (37.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite77.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1536×	`associate-/r*`
1410×	`associate-/l*`
1334×	`associate-*r/`
1128×	`*-commutative`
932×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	243	36
2	3220	36

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

Inputs
(/.f64 (.f64 -707281/11664 (.f64 x x)) (+.f64 4/29 (*.f64 x -841/108)))
(+.f64 4/29 (*.f64 x -841/108))

Outputs

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-841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -841/108)) (sqrt.f64 (*.f64 x -841/108)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2) (cbrt.f64 (*.f64 x -841/108)) 4/29)))))

simplify565.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

1482×	`associate-/l/`
1152×	`distribute-rgt-in`
1150×	`distribute-lft-in`
436×	`associate-r`
422×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	5698
1	953	5086
2	3929	5040

Stop Event

1×	node limit

Counts

158 → 235

Calls

Call 1

Inputs
(*.f64 -20511149/46656 (pow.f64 x 2))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
4/29
(+.f64 (*.f64 -841/108 x) 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(*.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 (exp.f64 (log1p.f64 (.f64 -707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))))) 1)
(.f64 -707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))
(.f64 (.f64 x x) (/.f64 -707281/11664 (fma.f64 x -841/108 4/29)))
(.f64 (.f64 -707281/11664 (*.f64 x x)) (/.f64 1 (fma.f64 x -841/108 4/29)))
(.f64 (.f64 -707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))) 1)
(.f64 1 (.f64 -707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (.f64 x -841/108) (sqrt.f64 (-.f64 -4/29 (.f64 x -841/108)))) (/.f64 (.f64 x -841/108) (sqrt.f64 (-.f64 -4/29 (*.f64 x -841/108)))))
(.f64 (.f64 x (sqrt.f64 -707281/11664)) (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (sqrt.f64 -707281/11664))))
(.f64 (cbrt.f64 (.f64 -707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))) (cbrt.f64 (/.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (fma.f64 x -841/108 4/29) 2))))
(.f64 (cbrt.f64 (.f64 -707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))) (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)))
(.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (fma.f64 x -841/108 4/29) 2))) (cbrt.f64 (.f64 -707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) (fma.f64 x -841/108 4/29)))
(.f64 (.f64 (*.f64 x x) 707281/11664) (/.f64 -1 (fma.f64 x -841/108 4/29)))
(.f64 (.f64 -707281/11664 x) (/.f64 x (fma.f64 x -841/108 4/29)))
(.f64 (+.f64 4/29 (.f64 x 841/108)) (/.f64 x (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (*.f64 -707281/11664 x))))
(.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (.f64 -707281/11664 (*.f64 x x)))
(.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27))) (/.f64 (.f64 -707281/11664 (.f64 x x)) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))))
(.f64 (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (sqrt.f64 -707281/11664))) (.f64 x (sqrt.f64 -707281/11664)))
(.f64 (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (sqrt.f64 -707281/11664))) (/.f64 (.f64 x (sqrt.f64 -707281/11664)) 1))
(.f64 (/.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) (fma.f64 x -841/108 4/29)) (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)))
(.f64 (/.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) (fma.f64 x -841/108 4/29)) (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 -707281/11664 x))
(*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (/.f64 x -11664/707281))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (.f64 -707281/11664 (*.f64 x x)) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 -707281/11664 (/.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) (.f64 x x))))
(.f64 (/.f64 (.f64 -707281/11664 (*.f64 x x)) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 1 (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)) -707281/11664)
(.f64 (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 -707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (.f64 x x) (cbrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 -707281/11664 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)))
(.f64 (/.f64 -707281/11664 (/.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) (.f64 x x))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)))
(.f64 (/.f64 -707281/11664 (fma.f64 x -841/108 4/29)) (.f64 x x))
(*.f64 (/.f64 -707281/11664 (fma.f64 x -841/108 4/29)) (/.f64 x (/.f64 1 x)))
(.f64 (/.f64 x (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (.f64 -707281/11664 x))) (+.f64 4/29 (*.f64 x 841/108)))
(.f64 (/.f64 (.f64 -707281/11664 (.f64 x x)) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x -29/27))))
(.f64 (/.f64 -1 (fma.f64 x -841/108 4/29)) (.f64 (*.f64 x x) 707281/11664))
(.f64 (/.f64 -707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 -707281/11664 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (fma.f64 x -841/108 4/29))))
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 -707281/11664 (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 -707281/11664 (cbrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 -707281/11664 (cbrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)))
(.f64 (/.f64 (.f64 x (sqrt.f64 -707281/11664)) 1) (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (sqrt.f64 -707281/11664))))
(*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (sqrt.f64 -707281/11664))) (/.f64 x (/.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 -707281/11664))))
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 -707281/11664))) (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (sqrt.f64 -707281/11664))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (/.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (.f64 -707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(*.f64 (/.f64 x -11664/707281) (/.f64 x (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 (.f64 -707281/11664 x) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (.f64 -707281/11664 x) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) -707281/11664)) (/.f64 x (cbrt.f64 (fma.f64 x -841/108 4/29))))
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) -707281/11664)))
(pow.f64 (.f64 -707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))) 1)
(pow.f64 (/.f64 (.f64 x -841/108) (sqrt.f64 (-.f64 -4/29 (.f64 x -841/108)))) 2)
(pow.f64 (cbrt.f64 (.f64 -707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))) 3)
(pow.f64 (pow.f64 (.f64 -707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))) 3) 1/3)
(pow.f64 (.f64 (fma.f64 x -841/108 4/29) (/.f64 -11664/707281 (.f64 x x))) -1)
(neg.f64 (/.f64 x (/.f64 (-.f64 -4/29 (.f64 x -841/108)) (.f64 -707281/11664 x))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (fma.f64 x -841/108 4/29) 2)))
(log.f64 (exp.f64 (.f64 -707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))))))
(cbrt.f64 (pow.f64 (.f64 -707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))) 3))
(expm1.f64 (log1p.f64 (.f64 -707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(exp.f64 (log.f64 (.f64 -707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(log1p.f64 (expm1.f64 (.f64 -707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 25/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -841/108 4/29))) 1)
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x 841/108))) (/.f64 (.f64 (.f64 x x) 707281/11664) (+.f64 4/29 (.f64 x 841/108))))
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x -841/108)))) 1)
(*.f64 (fma.f64 x -841/108 4/29) 1)
(*.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 (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 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (+.f64 4/29 (.f64 x 841/108))))
(.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x -29/27)))))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x 841/108))) (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27)))) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))
(/.f64 (fma.f64 x -841/108 4/29) 1)
(/.f64 1 (/.f64 1 (fma.f64 x -841/108 4/29)))
(/.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (/.f64 1 (sqrt.f64 (fma.f64 x -841/108 4/29))))
(/.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) (/.f64 1 (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) (/.f64 1 (cbrt.f64 (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 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (/.f64 1 (+.f64 4/29 (*.f64 x 841/108)))))
(/.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27))))
(/.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) (/.f64 1 (/.f64 1 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27))))))
(/.f64 (sqrt.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27))) (sqrt.f64 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))))
(/.f64 (sqrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (/.f64 (+.f64 4/29 (.f64 x 841/108)) (sqrt.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27))) (cbrt.f64 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (cbrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))))) (/.f64 (+.f64 4/29 (.f64 x 841/108)) (cbrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))))))
(/.f64 (neg.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (neg.f64 (+.f64 4/29 (*.f64 x 841/108))))
(/.f64 (neg.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (-.f64 (*.f64 x -841/108) 4/29))
(/.f64 (.f64 1 (neg.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))))) (neg.f64 (+.f64 4/29 (.f64 x 841/108))))
(/.f64 (.f64 1 (neg.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (neg.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x -29/27)))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 x x) 707281/11664) 16/841)) (-.f64 (.f64 x -841/108) 4/29))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x -29/27)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))))) (sqrt.f64 (+.f64 4/29 (.f64 x 841/108))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x -29/27)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))))) (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))))
(/.f64 (.f64 (neg.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) 1) (neg.f64 (+.f64 4/29 (.f64 x 841/108))))
(/.f64 (.f64 (neg.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) 1) (neg.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x -29/27)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) 707281/11664) 16/841) 1) (-.f64 (.f64 x -841/108) 4/29))
(/.f64 (.f64 (sqrt.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x -29/27)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (+.f64 4/29 (.f64 x 841/108))))
(/.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x -29/27)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))))
(/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (+.f64 4/29 (.f64 x 841/108)))) (+.f64 (.f64 (*.f64 x x) 707281/11664) 16/841))
(/.f64 (.f64 (-.f64 4096/594823321 (pow.f64 (.f64 (.f64 x x) 707281/11664) 3)) (/.f64 1 (+.f64 4/29 (.f64 x 841/108)))) (+.f64 256/707281 (+.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) (.f64 (.f64 (.f64 x x) 707281/11664) 16/841))))
(/.f64 (.f64 (-.f64 4096/594823321 (.f64 (.f64 -594823321/1259712 (pow.f64 x 3)) (.f64 -594823321/1259712 (pow.f64 x 3)))) (/.f64 1 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27))))) (-.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 262144/14507145975869 (pow.f64 (.f64 -594823321/1259712 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27))))) (-.f64 (+.f64 4096/594823321 (.f64 (.f64 -594823321/1259712 (pow.f64 x 3)) (.f64 -594823321/1259712 (pow.f64 x 3)))) (.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) 1) (+.f64 4/29 (*.f64 x 841/108)))
(/.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (sqrt.f64 (+.f64 4/29 (.f64 x 841/108)))) (sqrt.f64 (+.f64 4/29 (.f64 x 841/108))))
(/.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (.f64 (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))) (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))))) (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))))
(/.f64 (/.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) 1) (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27))))
(/.f64 (/.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27))))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x -29/27)))))
(/.f64 (/.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27)))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27)))))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x -29/27)))))
(pow.f64 (fma.f64 x -841/108 4/29) 1)
(pow.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 2)
(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)
(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)))
(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 1 (*.f64 x -841/108) 4/29)
(fma.f64 (sqrt.f64 (.f64 x -841/108)) (sqrt.f64 (.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)

Outputs
(*.f64 -20511149/46656 (pow.f64 x 2))
(.f64 -20511149/46656 (.f64 x x))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(fma.f64 -20511149/46656 (.f64 x x) (.f64 -500246412961/20155392 (pow.f64 x 3)))
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(/.f64 (/.f64 (fma.f64 -210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3) 262144/14507145975869) (+.f64 16/841 (.f64 x (+.f64 29/27 (.f64 x 707281/11664))))) (+.f64 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) 4096/594823321) (*.f64 24389/19683 (pow.f64 x 3))))
(/.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) 1) (+.f64 4/29 (*.f64 x 841/108)))
(-.f64 (/.f64 16/841 (+.f64 (.f64 x 841/108) 4/29)) (/.f64 (.f64 x (.f64 x 707281/11664)) (+.f64 (.f64 x 841/108) 4/29)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x 841/108 4/29))
(/.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (sqrt.f64 (+.f64 4/29 (.f64 x 841/108)))) (sqrt.f64 (+.f64 4/29 (.f64 x 841/108))))
(-.f64 (/.f64 16/841 (+.f64 (.f64 x 841/108) 4/29)) (/.f64 (.f64 x (.f64 x 707281/11664)) (+.f64 (.f64 x 841/108) 4/29)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x 841/108 4/29))
(/.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (.f64 (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))) (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))))) (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))))
(-.f64 (/.f64 16/841 (+.f64 (.f64 x 841/108) 4/29)) (/.f64 (.f64 x (.f64 x 707281/11664)) (+.f64 (.f64 x 841/108) 4/29)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x 841/108 4/29))
(/.f64 (/.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) 1) (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27))))
(/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) -594823321/1259712)) (-.f64 (fma.f64 (.f64 x x) 707281/11664 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 x 29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (+.f64 16/841 (.f64 x (+.f64 29/27 (.f64 x 707281/11664)))))
(/.f64 (/.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27))))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x -29/27)))))
(/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) -594823321/1259712)) (-.f64 (fma.f64 (.f64 x x) 707281/11664 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 x 29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (+.f64 16/841 (.f64 x (+.f64 29/27 (.f64 x 707281/11664)))))
(/.f64 (/.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27)))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x -29/27)))))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x -29/27)))))
(/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) -594823321/1259712)) (-.f64 (fma.f64 (.f64 x x) 707281/11664 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 x 29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (+.f64 16/841 (.f64 x (+.f64 29/27 (.f64 x 707281/11664)))))
(pow.f64 (fma.f64 x -841/108 4/29) 1)
(fma.f64 x -841/108 4/29)
(pow.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 2)
(fma.f64 x -841/108 4/29)
(pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 3)
(fma.f64 x -841/108 4/29)
(pow.f64 (pow.f64 (fma.f64 x -841/108 4/29) 3) 1/3)
(fma.f64 x -841/108 4/29)
(sqrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2))
(fabs.f64 (fma.f64 x -841/108 4/29))
(log.f64 (exp.f64 (fma.f64 x -841/108 4/29)))
(fma.f64 x -841/108 4/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -841/108 4/29))))
(fma.f64 x -841/108 4/29)
(cbrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 3))
(fma.f64 x -841/108 4/29)
(expm1.f64 (log1p.f64 (fma.f64 x -841/108 4/29)))
(fma.f64 x -841/108 4/29)
(exp.f64 (log.f64 (fma.f64 x -841/108 4/29)))
(fma.f64 x -841/108 4/29)
(log1p.f64 (expm1.f64 (fma.f64 x -841/108 4/29)))
(fma.f64 x -841/108 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 1 (*.f64 x -841/108) 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 (sqrt.f64 (.f64 x -841/108)) (sqrt.f64 (.f64 x -841/108)) 4/29)
(fma.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 x -841/108 4/29)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.24%	(*.f64 x -841/108)
✓	0.32%	(.f64 (.f64 x x) -707281/11664)
✓	20.2%	(/.f64 (/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664))) (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (+.f64 4/29 (.f64 x -841/108)))
✓	35.07%	(/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664))) (+.f64 16/841 (.f64 x (*.f64 x 707281/11664))))

Compiler

Compiled 111 to 69 computations (37.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664))) (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (+.f64 4/29 (.f64 x -841/108)))
1.0ms	x	@	inf	(/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664))) (+.f64 16/841 (.f64 x (*.f64 x 707281/11664))))
0.0ms	x	@	0	(/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664))) (+.f64 16/841 (.f64 x (*.f64 x 707281/11664))))
0.0ms	x	@	0	(/.f64 (/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664))) (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (+.f64 4/29 (.f64 x -841/108)))
0.0ms	x	@	inf	(/.f64 (/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664))) (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (+.f64 4/29 (.f64 x -841/108)))

rewrite105.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`distribute-lft-in`
450×	`add-sqr-sqrt`
432×	`pow1`
432×	`*-un-lft-identity`
428×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	129
1	459	41
2	6708	41

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

Inputs

(/.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))) (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664))))

(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))) (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) (+.f64 4/29 (*.f64 x -841/108)))

(*.f64 (*.f64 x x) -707281/11664)

Outputs

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egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 4/29 (*.f64 x -841/108))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 707281/11664))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (*.f64 x 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 707281/11664)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -841/108) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (*.f64 x 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (*.f64 x 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x 707281/11664)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 x 707281/11664)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x -841/108))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 707281/11664))))))))

simplify130.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1542×	`associate-/r/`
660×	`associate-r`
578×	`associate-+r+`
526×	`associate-+l+`
482×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	5016
1	1103	4582
2	4989	4470

Stop Event

1×	node limit

Counts

206 → 235

Calls

Call 1

Inputs
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
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 16/841 (.f64 x (.f64 x 707281/11664)))
(+.f64 16/841 (.f64 (neg.f64 x) (.f64 x 707281/11664)))
(+.f64 16/841 (.f64 (neg.f64 (.f64 x x)) 707281/11664))
(+.f64 16/841 (.f64 (neg.f64 (.f64 x 707281/11664)) x))
(+.f64 16/841 (.f64 1 (.f64 (neg.f64 x) (*.f64 x 707281/11664))))
(+.f64 16/841 (.f64 1 (.f64 (neg.f64 (*.f64 x x)) 707281/11664)))
(+.f64 16/841 (.f64 1 (.f64 (neg.f64 (*.f64 x 707281/11664)) x)))
(+.f64 (.f64 x (.f64 x 707281/11664)) 16/841)
(+.f64 (/.f64 256/707281 (fma.f64 x (.f64 x 707281/11664) 16/841)) (neg.f64 (/.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (fma.f64 x (*.f64 x 707281/11664) 16/841))))
(+.f64 (/.f64 256/707281 (fma.f64 x (.f64 x 707281/11664) 16/841)) (.f64 1 (neg.f64 (/.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (fma.f64 x (.f64 x 707281/11664) 16/841)))))
(+.f64 (.f64 (neg.f64 x) (.f64 x 707281/11664)) 16/841)
(+.f64 (.f64 (neg.f64 (.f64 x x)) 707281/11664) 16/841)
(+.f64 (.f64 (neg.f64 (.f64 x 707281/11664)) x) 16/841)
(+.f64 (neg.f64 (/.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (fma.f64 x (.f64 x 707281/11664) 16/841))) (/.f64 256/707281 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(+.f64 (-.f64 16/841 (exp.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664))))) 1)
(+.f64 (.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) 16/841)) 256/707281) (.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) 16/841)) (*.f64 500246412961/136048896 (pow.f64 x 4))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) 16/841)) (.f64 500246412961/136048896 (pow.f64 x 4))) (.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) 16/841)) 256/707281))
(+.f64 (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) 16/841) (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (.f64 x (.f64 x 707281/11664))))
(+.f64 (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) 16/841) (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (.f64 (neg.f64 x) (.f64 x 707281/11664))))
(+.f64 (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) 16/841) (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (.f64 (neg.f64 (.f64 x x)) 707281/11664)))
(+.f64 (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) 16/841) (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (.f64 (neg.f64 (.f64 x 707281/11664)) x)))
(+.f64 (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (.f64 x (.f64 x 707281/11664))) (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) 16/841))
(+.f64 (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (/.f64 256/707281 (fma.f64 x (.f64 x 707281/11664) 16/841))) (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (neg.f64 (/.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (fma.f64 x (*.f64 x 707281/11664) 16/841)))))
(+.f64 (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) 256/707281) (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (+.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 -16/841 (.f64 x (.f64 x 707281/11664))))))
(+.f64 (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (+.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 -16/841 (.f64 x (.f64 x 707281/11664))))) (.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) 256/707281))
(-.f64 16/841 (.f64 x (.f64 x 707281/11664)))
(-.f64 (/.f64 256/707281 (fma.f64 x (.f64 x 707281/11664) 16/841)) (/.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(-.f64 0 (+.f64 (.f64 x (.f64 x 707281/11664)) -16/841))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664)))) 825/841)
(-.f64 (+.f64 16/841 (exp.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664))))) 1)
(.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) 1)
(.f64 1 (fma.f64 x (.f64 x 707281/11664) 16/841))
(.f64 (sqrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (.f64 (sqrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) 16/841))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) 2) (.f64 (cbrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) 16/841))))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) 16/841)) (+.f64 256/707281 (*.f64 500246412961/136048896 (pow.f64 x 4))))
(.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (/.f64 1 (-.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x (*.f64 x 707281/11664) 16/841)))))
(.f64 (+.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) -256/707281) (/.f64 1 (+.f64 (.f64 x (.f64 x 707281/11664)) -16/841)))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841))) (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) 2)) (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841))))
(.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (fma.f64 x (.f64 x 707281/11664) 16/841))
(.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (-.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x (.f64 x 707281/11664) 16/841))))
(.f64 (/.f64 (sqrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) 1) (/.f64 (sqrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (fma.f64 x (.f64 x 707281/11664) 16/841)))
(.f64 (/.f64 (sqrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) 2)) (/.f64 (sqrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (fma.f64 x (.f64 x 707281/11664) 16/841)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) 2) (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841))) (/.f64 (cbrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) 2)) (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)))
(pow.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) 3) 1/3)
(pow.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) 16/841)) -1)
(neg.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 (.f64 x (*.f64 x 707281/11664)) -16/841)))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) 3) (pow.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(fma.f64 x (*.f64 x 707281/11664) 16/841)
(fma.f64 (*.f64 x x) 707281/11664 16/841)
(fma.f64 (*.f64 x 707281/11664) x 16/841)
(fma.f64 1 (.f64 x (.f64 x 707281/11664)) 16/841)
(fma.f64 (.f64 x -841/108) (.f64 x -841/108) 16/841)
(fma.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2) 16/841)
(+.f64 4/29 (neg.f64 (*.f64 x -841/108)))
(+.f64 4/29 (*.f64 (neg.f64 x) -841/108))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (.f64 -1 (.f64 x -841/108)))
(+.f64 4/29 (.f64 (neg.f64 (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (*.f64 x -841/108))))
(+.f64 4/29 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (cbrt.f64 (*.f64 x -841/108))))
(+.f64 4/29 (.f64 1 (neg.f64 (.f64 x -841/108))))
(+.f64 4/29 (.f64 1 (.f64 (neg.f64 x) -841/108)))
(+.f64 4/29 (.f64 1 (.f64 841/108 x)))
(+.f64 4/29 (.f64 1 (.f64 -1 (*.f64 x -841/108))))
(+.f64 4/29 (.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (.f64 x -841/108)))))
(+.f64 4/29 (.f64 1 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (cbrt.f64 (.f64 x -841/108)))))
(+.f64 (neg.f64 (*.f64 x -841/108)) 4/29)
(+.f64 (*.f64 (neg.f64 x) -841/108) 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 (.f64 -1 (.f64 x -841/108)) 4/29)
(+.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (*.f64 x -841/108))) 4/29)
(+.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (cbrt.f64 (*.f64 x -841/108))) 4/29)
(+.f64 (-.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x -841/108)))) 1)
(+.f64 (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) 16/841) (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (.f64 x (.f64 x 707281/11664))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) 16/841) (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (.f64 (neg.f64 x) (.f64 x 707281/11664))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) 16/841) (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (.f64 (neg.f64 (.f64 x x)) 707281/11664)))
(+.f64 (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) 16/841) (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (.f64 (neg.f64 (.f64 x 707281/11664)) x)))
(+.f64 (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (.f64 x (.f64 x 707281/11664))) (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) 16/841))
(+.f64 (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (/.f64 256/707281 (fma.f64 x (.f64 x 707281/11664) 16/841))) (.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (neg.f64 (/.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (fma.f64 x (*.f64 x 707281/11664) 16/841)))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 x (.f64 x 707281/11664) 16/841)) 4/29) (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 x (.f64 x 707281/11664) 16/841)) (neg.f64 (*.f64 x -841/108))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 x (.f64 x 707281/11664) 16/841)) 4/29) (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 x (.f64 x 707281/11664) 16/841)) (*.f64 (neg.f64 x) -841/108)))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 x (.f64 x 707281/11664) 16/841)) 4/29) (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 x (.f64 x 707281/11664) 16/841)) (*.f64 841/108 x)))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 x (.f64 x 707281/11664) 16/841)) 4/29) (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 x (.f64 x 707281/11664) 16/841)) (.f64 -1 (.f64 x -841/108))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 x (.f64 x 707281/11664) 16/841)) 4/29) (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 x (.f64 x 707281/11664) 16/841)) (.f64 (neg.f64 (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (*.f64 x -841/108)))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 x (.f64 x 707281/11664) 16/841)) 4/29) (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 x (.f64 x 707281/11664) 16/841)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (cbrt.f64 (*.f64 x -841/108)))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) 16/841) (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (-.f64 (.f64 x (.f64 x 707281/11664)) (*.f64 -29/27 x))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (-.f64 (.f64 x (.f64 x 707281/11664)) (.f64 -29/27 x))) (.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) 16/841))
(-.f64 4/29 (*.f64 x -841/108))
(-.f64 (exp.f64 (log.f64 (-.f64 33/29 (*.f64 x -841/108)))) 1)
(-.f64 (/.f64 256/707281 (.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 x -841/108 4/29))) (/.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (fma.f64 x -841/108 4/29))))
(-.f64 (/.f64 (/.f64 256/707281 (fma.f64 x (.f64 x 707281/11664) 16/841)) (fma.f64 x -841/108 4/29)) (/.f64 (/.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (fma.f64 x (*.f64 x 707281/11664) 16/841)) (fma.f64 x -841/108 4/29)))
(.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) 16/841)) (/.f64 1 (fma.f64 x -841/108 4/29))))
(.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (/.f64 1 (.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 x -841/108 4/29))))
(.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (/.f64 1 (fma.f64 x -841/108 4/29)))
(.f64 (-.f64 4/29 (.f64 x -841/108)) 1)
(.f64 1 (-.f64 4/29 (.f64 x -841/108)))
(.f64 (sqrt.f64 (-.f64 4/29 (.f64 x -841/108))) (sqrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) (.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) (/.f64 1 (fma.f64 x -841/108 4/29))))
(.f64 (cbrt.f64 (-.f64 4/29 (.f64 x -841/108))) (pow.f64 (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 4/29 (.f64 x -841/108))) 2) (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) (/.f64 1 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (fma.f64 x (.f64 x 707281/11664) 16/841))
(.f64 (+.f64 (.f64 x (.f64 x 707281/11664)) -16/841) (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))))
(.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) 1) (/.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2))) (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (cbrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 x (.f64 x 707281/11664) 16/841)) (-.f64 4/29 (.f64 x -841/108)))
(.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (-.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 (sqrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (fma.f64 x -841/108 4/29)) (/.f64 (sqrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (fma.f64 x (.f64 x 707281/11664) 16/841)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) 2) (fma.f64 x -841/108 4/29)) (/.f64 (cbrt.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (fma.f64 x (.f64 x 707281/11664) 16/841)))
(.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2))) (/.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (cbrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) (cbrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2))) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (cbrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) 2) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) 2) (cbrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2))) (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(pow.f64 (-.f64 4/29 (*.f64 x -841/108)) 1)
(pow.f64 (sqrt.f64 (-.f64 4/29 (*.f64 x -841/108))) 2)
(pow.f64 (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))) 3)
(pow.f64 (pow.f64 (-.f64 4/29 (*.f64 x -841/108)) 3) 1/3)
(pow.f64 (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))) -1)
(neg.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (-.f64 -4/29 (.f64 x -841/108))))
(sqrt.f64 (pow.f64 (-.f64 4/29 (*.f64 x -841/108)) 2))
(log.f64 (exp.f64 (-.f64 4/29 (*.f64 x -841/108))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4/29 (*.f64 x -841/108)))))
(cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 x -841/108)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) 3) (pow.f64 (fma.f64 x -841/108 4/29) 3)))
(expm1.f64 (log.f64 (-.f64 33/29 (*.f64 x -841/108))))
(exp.f64 (log.f64 (-.f64 4/29 (*.f64 x -841/108))))
(exp.f64 (.f64 (log.f64 (-.f64 4/29 (.f64 x -841/108))) 1))
(log1p.f64 (expm1.f64 (-.f64 4/29 (*.f64 x -841/108))))
(+.f64 0 (.f64 x (.f64 x 707281/11664)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664))))) 1)
(-.f64 0 (.f64 x (.f64 x 707281/11664)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664)))) 1)
(pow.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) 1/2)
(pow.f64 (.f64 x (.f64 x 707281/11664)) 1)
(pow.f64 (*.f64 x -841/108) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 1/3)
(neg.f64 (.f64 x (.f64 x 707281/11664)))
(sqrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)))
(fabs.f64 (.f64 x (.f64 x 707281/11664)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x 707281/11664)) x))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 x 707281/11664)) x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 707281/11664)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664))))
(exp.f64 (.f64 2 (log.f64 (.f64 x -841/108))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x -841/108))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 707281/11664))))

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.24%	(pow.f64 (/.f64 1 x) -1)
✓	0.24%	(*.f64 841/108 (pow.f64 (/.f64 1 x) -1))

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite98.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`add-sqr-sqrt`
1328×	`*-un-lft-identity`
1246×	`add-cube-cbrt`
1236×	`add-cbrt-cube`
1228×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	183	8
2	2010	8

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(*.f64 841/108 (pow.f64 (/.f64 1 x) -1))
(pow.f64 (/.f64 1 x) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 841/108 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 841/108 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 841/108) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1886×	`distribute-rgt-in`
1864×	`distribute-lft-in`
1118×	`associate-r`
860×	`associate-l`
732×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	313
1	188	277
2	617	271
3	3909	271

Stop Event

1×	node limit

Counts

61 → 43

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

eval742.0ms (10%)

Compiler: Compiled 28118 to 21621 computations (23.1% saved)

prune268.0ms (3.6%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1240	5	1245
Fresh	1	1	2
Picked	1	0	1
Done	2	7	9
Total	1244	13	1257

Error

Counts

1257 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.67%	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 4/29 (*.f64 x -841/108)))
✓	73.41%	(/.f64 (.f64 -707281/11664 (.f64 x x)) (+.f64 4/29 (*.f64 x -841/108)))
	72.97%	(/.f64 (.f64 -707281/11664 (.f64 x x)) (*.f64 x -841/108))
	52.12%	(/.f64 (neg.f64 x) (/.f64 (-.f64 -4/29 (.f64 x -841/108)) (.f64 x -707281/11664)))
	51.51%	(/.f64 841/108 (/.f64 1 x))
✓	51.53%	(/.f64 1 (/.f64 108/841 x))
✓	47.46%	(/.f64 1 (+.f64 29/4 (.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))))
	0.24%	(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (*.f64 (/.f64 x (-.f64 46656/20511149 (/.f64 x 841/108))) x))
✓	0.16%	(+.f64 (*.f64 841/108 x) 4/29)
✓	21.73%	(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
	21.73%	(.f64 (.f64 (/.f64 1 (-.f64 16/841 (.f64 (.f64 x 841/108) (.f64 x 841/108)))) (+.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
✓	51.44%	(*.f64 841/108 x)
	47.96%	4/29

Compiler

Compiled 144 to 114 computations (20.8% saved)

regimes47.0ms (0.6%)

Counts

30 → 1

Calls

Call 1

Inputs
4/29
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)
(/.f64 1 (/.f64 108/841 x))
(/.f64 841/108 (/.f64 1 x))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 (.f64 -707281/11664 (.f64 x x)) (*.f64 x -841/108))
(/.f64 1 (+.f64 29/4 (.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))))
(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
(/.f64 (.f64 -707281/11664 (.f64 x x)) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (neg.f64 x) (/.f64 (-.f64 -4/29 (.f64 x -841/108)) (.f64 x -707281/11664)))
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 4/29 (*.f64 x -841/108)))
(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 -841/108 x))) (/.f64 (.f64 (.f64 707281/11664 x) x) (+.f64 4/29 (.f64 -841/108 x))))
(.f64 (.f64 (/.f64 1 (-.f64 16/841 (.f64 (.f64 x 841/108) (.f64 x 841/108)))) (+.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664))) (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (+.f64 4/29 (.f64 x -841/108)))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 (pow.f64 (/.f64 1 x) -1))
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (+.f64 29/4 (fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (*.f64 (/.f64 x (-.f64 46656/20511149 (/.f64 x 841/108))) x))
(/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))))
(/.f64 1 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 16/841 (.f64 x (-.f64 29/27 (.f64 x 707281/11664)))))
(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 841/108 (cbrt.f64 x))) (/.f64 4 29))
(.f64 (sqrt.f64 (.f64 (fma.f64 841/108 x 4/29) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))

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

Calls

3 calls:

15.0ms	(*.f64 (/.f64 841 108) x)
13.0ms	x
9.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Results

Error	Segments	Branch
0.15%	1	`x`
0.15%	1	`(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))`
0.15%	1	`(*.f64 (/.f64 841 108) x)`

Compiler

Compiled 381 to 292 computations (23.4% saved)

regimes30.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

Inputs
4/29
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)
(/.f64 1 (/.f64 108/841 x))
(/.f64 841/108 (/.f64 1 x))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 (.f64 -707281/11664 (.f64 x x)) (*.f64 x -841/108))
(/.f64 1 (+.f64 29/4 (.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))))
(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
(/.f64 (.f64 -707281/11664 (.f64 x x)) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (neg.f64 x) (/.f64 (-.f64 -4/29 (.f64 x -841/108)) (.f64 x -707281/11664)))
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 4/29 (*.f64 x -841/108)))
(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 -841/108 x))) (/.f64 (.f64 (.f64 707281/11664 x) x) (+.f64 4/29 (.f64 -841/108 x))))
(.f64 (.f64 (/.f64 1 (-.f64 16/841 (.f64 (.f64 x 841/108) (.f64 x 841/108)))) (+.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664))) (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (+.f64 4/29 (.f64 x -841/108)))

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

Calls

3 calls:

9.0ms	(*.f64 (/.f64 841 108) x)
9.0ms	x
6.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Results

Error	Segments	Branch
0.16%	1	`x`
0.16%	1	`(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))`
0.16%	1	`(*.f64 (/.f64 841 108) x)`

Compiler

Compiled 228 to 171 computations (25% saved)

regimes9.0ms (0.1%)

Accuracy

Total -59.7b remaining (-3092.8%)

Threshold costs -59.7b (-3092.8%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
3.02%	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch22.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.7901043106123624e-6	0.05898154260194115
9.0ms	-0.01895176920292959	-0.007503446396171438

Results

19.0ms

208×

body

256

valid

Compiler

Compiled 118 to 103 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	18	56
1	25	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(if (<=.f64 x -5188146770730811/288230376151711744) (.f64 841/108 x) (if (<=.f64 x 1224979098644775/72057594037927936) 4/29 (.f64 841/108 x)))
4/29

Outputs
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -5188146770730811/288230376151711744) (.f64 841/108 x) (if (<=.f64 x 1224979098644775/72057594037927936) 4/29 (.f64 841/108 x)))
4/29

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness13.0ms (0.2%)

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

Compiler

Compiled 28 to 24 computations (14.3% saved)

end25.0ms (0.3%)

Compiler: Compiled 26 to 20 computations (23.1% saved)