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)

sample949.0ms (13.7%)

Results

892.0ms	8249×	body	256	valid
1.0ms	6×	body	1024	valid
0.0ms	4×	body	256	infinite
0.0ms	1×	body	512	valid

Bogosity

preprocess4.0ms (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)

simplify40.0ms (0.6%)

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

0.12%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.13%	(fma.f64 841/108 x 4/29)
▶	0.13%	(+.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
✓	0.01%	(+.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))

rewrite109.0ms (1.6%)

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)))))

simplify123.0ms (1.8%)

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 (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.13%	(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)

rewrite75.0ms (1.1%)

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)))))))

simplify59.0ms (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)

eval170.0ms (2.5%)

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

prune86.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	215	10	225
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	217	10	227

Error

0.04%

Counts

227 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	42.28%	(/.f64 (+.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) (.f64 (+.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)))
	23.6%	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
	24.45%	(/.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)))
▶	49.47%	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
	1%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
▶	0.13%	(+.f64 (*.f64 841/108 x) 4/29)
▶	23.64%	(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
▶	51.11%	(*.f64 841/108 x)
	46.76%	4/29

Compiler

Compiled 230 to 194 computations (15.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.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 (*.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)
0.0ms	x	@	0	(+.f64 (*.f64 841/108 x) 4/29)

rewrite96.0ms (1.4%)

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)))))

simplify63.0ms (0.9%)

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)

localize4.0ms (0.1%)

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)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.24%	(*.f64 841/108 x)
✓	0.28%	(.f64 -707281/11664 (.f64 x x))
✓	0.3%	(/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))
✓	21.99%	(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))

Compiler

Compiled 52 to 36 computations (30.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite108.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`associate-*l/`
766×	`associate-/r*`
586×	`associate-/l*`
566×	`associate-/r/`
322×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	331	65
2	4122	65

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

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

Outputs

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

simplify154.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1114×	`associate-/l*`
850×	`associate-r`
796×	`associate-l`
676×	`associate-/l/`
652×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	630	14236
1	1825	13426

Stop Event

1×	node limit

Counts

252 → 377

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

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))
29/4
(+.f64 29/4 (*.f64 707281/1728 x))
(+.f64 29/4 (*.f64 x 707281/1728))
(+.f64 29/4 (+.f64 (.f64 707281/1728 x) (.f64 17249876309/746496 (pow.f64 x 2))))
(+.f64 29/4 (fma.f64 707281/1728 x (.f64 17249876309/746496 (.f64 x x))))
(+.f64 29/4 (fma.f64 707281/1728 x (.f64 x (.f64 x 17249876309/746496))))
(+.f64 29/4 (+.f64 (.f64 707281/1728 x) (+.f64 (.f64 420707233300201/322486272 (pow.f64 x 3)) (*.f64 17249876309/746496 (pow.f64 x 2)))))
(+.f64 29/4 (fma.f64 707281/1728 x (fma.f64 420707233300201/322486272 (pow.f64 x 3) (.f64 17249876309/746496 (.f64 x x)))))
(+.f64 29/4 (fma.f64 707281/1728 x (fma.f64 420707233300201/322486272 (pow.f64 x 3) (.f64 x (.f64 x 17249876309/746496)))))
(/.f64 -108/841 x)
(neg.f64 (+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (.f64 108/841 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 108/841 x)))
(-.f64 (/.f64 -108/841 x) (/.f64 (/.f64 46656/20511149 x) x))
(neg.f64 (+.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))))))
(neg.f64 (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 -108/841 x) (/.f64 (/.f64 46656/20511149 x) x)) (/.f64 20155392/500246412961 (pow.f64 x 3)))
(neg.f64 (+.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)))))))
(neg.f64 (+.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))))
(-.f64 (/.f64 -8707129344/12200509765705829 (pow.f64 x 4)) (+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 (/.f64 46656/20511149 x) x))))
(/.f64 -108/841 x)
(neg.f64 (+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (.f64 108/841 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 108/841 x)))
(-.f64 (/.f64 -108/841 x) (/.f64 (/.f64 46656/20511149 x) x))
(neg.f64 (+.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))))))
(neg.f64 (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 -108/841 x) (/.f64 (/.f64 46656/20511149 x) x)) (/.f64 20155392/500246412961 (pow.f64 x 3)))
(neg.f64 (+.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)))))))
(neg.f64 (+.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))))
(-.f64 (/.f64 -8707129344/12200509765705829 (pow.f64 x 4)) (+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 (/.f64 46656/20511149 x) x))))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(+.f64 (/.f64 -16/841 (+.f64 -4/29 (/.f64 x 108/841))) (/.f64 (.f64 -707281/11664 (.f64 x x)) (+.f64 4/29 (*.f64 x -841/108))))
(+.f64 (/.f64 (.f64 -707281/11664 (.f64 x x)) (+.f64 4/29 (*.f64 x -841/108))) (/.f64 -16/841 (+.f64 -4/29 (/.f64 x 108/841))))
(+.f64 (.f64 (/.f64 -707281/11664 (+.f64 4/29 (.f64 x -841/108))) (*.f64 x x)) (/.f64 -16/841 (+.f64 -4/29 (/.f64 x 108/841))))
(+.f64 (/.f64 (.f64 -707281/11664 (.f64 x x)) (+.f64 4/29 (*.f64 x -841/108))) (/.f64 -16/841 (+.f64 -4/29 (/.f64 x 108/841))))
(+.f64 (.f64 (/.f64 -707281/11664 (+.f64 4/29 (.f64 x -841/108))) (*.f64 x x)) (/.f64 -16/841 (+.f64 -4/29 (/.f64 x 108/841))))
(+.f64 (.f64 16/841 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))) (.f64 (.f64 -707281/11664 (.f64 x x)) (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 4/29 (/.f64 x 108/841)))
(+.f64 (.f64 (.f64 -707281/11664 (.f64 x x)) (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))) (.f64 16/841 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 4/29 (/.f64 x 108/841)))
(-.f64 (exp.f64 (log1p.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 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (neg.f64 (+.f64 -4/29 (/.f64 x 108/841))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 4/29 (/.f64 x 108/841)))
(/.f64 1 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841)))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 1 (/.f64 (.f64 (+.f64 4/29 (.f64 x -841/108)) (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))))
(.f64 (/.f64 1 (.f64 (+.f64 4/29 (.f64 x -841/108)) (+.f64 16/841 (.f64 x (.f64 x 707281/11664))))) (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (.f64 (+.f64 4/29 (.f64 x -841/108)) (+.f64 16/841 (.f64 x (*.f64 x 707281/11664)))))
(/.f64 1 (/.f64 (.f64 (+.f64 4/29 (.f64 x -841/108)) (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (.f64 -841/729 (.f64 x x)) 256/707281))) (+.f64 4096/594823321 (.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))))
(.f64 (/.f64 1 (.f64 (+.f64 4/29 (.f64 x -841/108)) (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (fma.f64 -841/729 (.f64 x x) -256/707281)))) (+.f64 4096/594823321 (.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))
(/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 x 6) -353814783205469041/1586874322944)) (.f64 (+.f64 4/29 (.f64 x -841/108)) (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (fma.f64 -841/729 (*.f64 x x) -256/707281))))
(/.f64 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841))) (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 4/29 (/.f64 x 108/841)))
(/.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 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 (+.f64 4/29 (.f64 x -841/108)) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (+.f64 4/29 (.f64 x -841/108))))
(/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 (+.f64 4/29 (.f64 x -841/108)) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (+.f64 4/29 (.f64 x -841/108))))
(/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))) (cbrt.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 (+.f64 4/29 (.f64 x -841/108)) (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)))) (cbrt.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (+.f64 4/29 (.f64 x -841/108))) (.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (cbrt.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)))))
(/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))) (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (+.f64 4/29 (.f64 x -841/108))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (/.f64 (+.f64 4/29 (.f64 x -841/108)) (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (+.f64 4/29 (.f64 x -841/108))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (+.f64 4/29 (.f64 x -841/108)) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(.f64 (/.f64 1 (.f64 (+.f64 4/29 (.f64 x -841/108)) (+.f64 16/841 (.f64 x (.f64 x 707281/11664))))) (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (.f64 (+.f64 4/29 (.f64 x -841/108)) (+.f64 16/841 (.f64 x (*.f64 x 707281/11664)))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 (+.f64 4/29 (.f64 x -841/108)) (/.f64 1 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)))))
(.f64 (/.f64 1 (.f64 (+.f64 4/29 (.f64 x -841/108)) (+.f64 16/841 (.f64 x (.f64 x 707281/11664))))) (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (.f64 (+.f64 4/29 (.f64 x -841/108)) (+.f64 16/841 (.f64 x (*.f64 x 707281/11664)))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 (.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 4/29 (*.f64 x -841/108))) 1))
(.f64 (/.f64 1 (.f64 (+.f64 4/29 (.f64 x -841/108)) (+.f64 16/841 (.f64 x (.f64 x 707281/11664))))) (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (.f64 (+.f64 4/29 (.f64 x -841/108)) (+.f64 16/841 (.f64 x (*.f64 x 707281/11664)))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 (.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 -4/29 (/.f64 x 108/841))) -1))
(/.f64 (/.f64 (neg.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (+.f64 -4/29 (/.f64 x 108/841))) (+.f64 16/841 (.f64 x (*.f64 x 707281/11664))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (+.f64 -4/29 (/.f64 x 108/841))) (+.f64 16/841 (.f64 x (.f64 x 707281/11664))))
(/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (.f64 (+.f64 4/29 (.f64 x -841/108)) (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (.f64 -841/729 (*.f64 x x)) 256/707281))))
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(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)))
(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 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841))))) 1)
(/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 1 (-.f64 4/29 (/.f64 x 108/841)))
(*.f64 1 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841))))
(/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 1 (-.f64 4/29 (/.f64 x 108/841)))
(*.f64 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841))) 1)
(/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 1 (-.f64 4/29 (/.f64 x 108/841)))
(.f64 (pow.f64 (+.f64 4/29 (.f64 x -841/108)) -1/2) (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) -1/2))
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108)))
(.f64 (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))) (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)) (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 4/29 (.f64 x -841/108)) -2)) (cbrt.f64 (/.f64 1 (-.f64 4/29 (/.f64 x 108/841)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 4/29 (.f64 x -841/108)) -2)) (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 4/29 (.f64 x -841/108)) -2)) (cbrt.f64 (/.f64 1 (-.f64 4/29 (/.f64 x 108/841)))))
(*.f64 -1 (/.f64 1 (+.f64 -4/29 (/.f64 x 108/841))))
(/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 1 (-.f64 4/29 (/.f64 x 108/841)))
(*.f64 (/.f64 1 (+.f64 -4/29 (/.f64 x 108/841))) -1)
(/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 1 (-.f64 4/29 (/.f64 x 108/841)))
(.f64 (/.f64 1 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (+.f64 4/29 (.f64 x 841/108)))
(.f64 (+.f64 4/29 (.f64 841/108 x)) (/.f64 1 (-.f64 16/841 (.f64 x (.f64 x 707281/11664)))))
(/.f64 (+.f64 4/29 (.f64 841/108 x)) (fma.f64 -707281/11664 (.f64 x x) 16/841))
(.f64 (/.f64 1 (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (*.f64 29/27 x))))
(.f64 (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (.f64 x 29/27))) (/.f64 1 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))))
(/.f64 (-.f64 -16/841 (.f64 x (+.f64 (.f64 x 707281/11664) 29/27))) (+.f64 -64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(.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))
(pow.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) -2)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 4/29 (.f64 x -841/108)) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) -1))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 4/29 (.f64 x -841/108)) 2))) (/.f64 1 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 1 (neg.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (neg.f64 (+.f64 4/29 (.f64 x 841/108))))
(.f64 (+.f64 4/29 (.f64 841/108 x)) (/.f64 1 (-.f64 16/841 (.f64 x (.f64 x 707281/11664)))))
(/.f64 (+.f64 4/29 (.f64 841/108 x)) (fma.f64 -707281/11664 (.f64 x x) 16/841))
(.f64 (/.f64 1 (neg.f64 (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) (neg.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (*.f64 29/27 x)))))
(.f64 (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (.f64 x 29/27))) (/.f64 1 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))))
(/.f64 (-.f64 -16/841 (.f64 x (+.f64 (.f64 x 707281/11664) 29/27))) (+.f64 -64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(.f64 (/.f64 1 (-.f64 16/841 (.f64 (.f64 x -841/108) (.f64 x -841/108)))) (+.f64 4/29 (*.f64 x 841/108)))
(.f64 (+.f64 4/29 (.f64 841/108 x)) (/.f64 1 (-.f64 16/841 (.f64 x (.f64 x 707281/11664)))))
(/.f64 (+.f64 4/29 (.f64 841/108 x)) (fma.f64 -707281/11664 (.f64 x x) 16/841))
(.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 16/841 (fma.f64 (.f64 x x) 707281/11664 (.f64 x 29/27))) (/.f64 1 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))))
(/.f64 (-.f64 -16/841 (.f64 x (+.f64 (.f64 x 707281/11664) 29/27))) (+.f64 -64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(.f64 (/.f64 (pow.f64 (+.f64 4/29 (.f64 x -841/108)) -1/2) (sqrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (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 16/841 (.f64 x (.f64 x 707281/11664))))) (sqrt.f64 (+.f64 4/29 (*.f64 841/108 x))))
(.f64 (/.f64 (pow.f64 (+.f64 4/29 (.f64 x -841/108)) -1/2) (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))) (sqrt.f64 (+.f64 4/29 (.f64 841/108 x))))
(.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 (.f64 x x) 707281/11664) (.f64 29/27 x)))))
(.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 (fma.f64 (.f64 x x) 707281/11664 (*.f64 x 29/27)))))
(.f64 (/.f64 (pow.f64 (+.f64 4/29 (.f64 x -841/108)) -1/2) (sqrt.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) -594823321/1259712)))) (sqrt.f64 (+.f64 16/841 (.f64 x (+.f64 (*.f64 x 707281/11664) 29/27)))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (+.f64 4/29 (.f64 x 841/108)))
(.f64 (+.f64 4/29 (.f64 841/108 x)) (/.f64 1 (-.f64 16/841 (.f64 x (.f64 x 707281/11664)))))
(/.f64 (+.f64 4/29 (.f64 841/108 x)) (fma.f64 -707281/11664 (.f64 x x) 16/841))
(.f64 (/.f64 -1 (neg.f64 (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (*.f64 29/27 x))))
(.f64 (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (.f64 x 29/27))) (/.f64 1 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))))
(/.f64 (-.f64 -16/841 (.f64 x (+.f64 (.f64 x 707281/11664) 29/27))) (+.f64 -64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(.f64 (/.f64 (cbrt.f64 (pow.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 x 841/108))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 4/29 (.f64 x -841/108)) -2)) (cbrt.f64 (+.f64 4/29 (.f64 841/108 x)))) (cbrt.f64 (-.f64 16/841 (.f64 x (*.f64 x 707281/11664)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 4/29 (.f64 x -841/108)) -2)) (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))) (cbrt.f64 (+.f64 4/29 (.f64 841/108 x))))
(.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 (.f64 x x) 707281/11664) (.f64 29/27 x)))))
(.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 (fma.f64 (.f64 x x) 707281/11664 (*.f64 x 29/27)))))
(.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 x (+.f64 (*.f64 x 707281/11664) 29/27)))))
(.f64 (/.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))) (-.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 (fma.f64 (.f64 x x) 707281/11664 (.f64 x 29/27))) (-.f64 4096/594823321 (.f64 353814783205469041/1586874322944 (pow.f64 (.f64 x x) 3)))) (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))
(.f64 (/.f64 (+.f64 16/841 (.f64 x (+.f64 (.f64 x 707281/11664) 29/27))) (+.f64 4096/594823321 (.f64 (pow.f64 x 6) -353814783205469041/1586874322944))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(.f64 (/.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))) (-.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 (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (.f64 x 29/27))) (-.f64 262144/14507145975869 (.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3)))) (+.f64 4096/594823321 (+.f64 (.f64 353814783205469041/1586874322944 (pow.f64 (.f64 x x) 3)) (*.f64 24389/19683 (pow.f64 x 3)))))
(/.f64 (+.f64 16/841 (.f64 x (+.f64 (.f64 x 707281/11664) 29/27))) (/.f64 (+.f64 262144/14507145975869 (.f64 -210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3))) (+.f64 4096/594823321 (+.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (*.f64 (pow.f64 x 3) 24389/19683)))))
(.f64 (/.f64 (+.f64 4/29 (.f64 x 841/108)) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)))) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664)))
(.f64 (+.f64 16/841 (.f64 x (.f64 x 707281/11664))) (/.f64 (+.f64 4/29 (.f64 841/108 x)) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))))
(.f64 (+.f64 16/841 (.f64 x (.f64 x 707281/11664))) (/.f64 (+.f64 4/29 (.f64 841/108 x)) (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896))))
(.f64 (/.f64 (+.f64 4/29 (.f64 x 841/108)) (-.f64 4096/594823321 (pow.f64 (.f64 (.f64 x x) 707281/11664) 3))) (+.f64 (+.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (.f64 16/841 (.f64 (.f64 x x) 707281/11664))))
(.f64 (/.f64 (+.f64 4/29 (.f64 841/108 x)) (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (+.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 16/841 (.f64 x (.f64 x 707281/11664)))))
(/.f64 (+.f64 4/29 (.f64 841/108 x)) (/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 x 6) -353814783205469041/1586874322944)) (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (fma.f64 -841/729 (.f64 x x) -256/707281))))
(pow.f64 (+.f64 4/29 (*.f64 x -841/108)) -1)
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108)))
(pow.f64 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841))) 1)
(/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 1 (-.f64 4/29 (/.f64 x 108/841)))
(pow.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) -1/2) 2)
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108)))
(pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))) 3)
(/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 1 (-.f64 4/29 (/.f64 x 108/841)))
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841))) 3) 1/3)
(/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 1 (-.f64 4/29 (/.f64 x 108/841)))
(sqrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) -2))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))))
(/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 1 (-.f64 4/29 (/.f64 x 108/841)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841))))))
(/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 1 (-.f64 4/29 (/.f64 x 108/841)))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841))) 3))
(/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 1 (-.f64 4/29 (/.f64 x 108/841)))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))))
(/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 1 (-.f64 4/29 (/.f64 x 108/841)))
(exp.f64 (neg.f64 (log.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108)))
(exp.f64 (.f64 (log.f64 (+.f64 4/29 (.f64 x -841/108))) -1))
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108)))
(exp.f64 (.f64 (neg.f64 (log.f64 (+.f64 4/29 (.f64 x -841/108)))) 1))
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108)))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))))
(/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841)))
(/.f64 1 (-.f64 4/29 (/.f64 x 108/841)))
(-.f64 (exp.f64 (log1p.f64 (.f64 -707281/11664 (.f64 x x)))) 1)
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(pow.f64 (.f64 -707281/11664 (.f64 x x)) 1)
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)
(pow.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) 3)
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))
(cbrt.f64 (*.f64 (pow.f64 x 6) -353814783205469041/1586874322944))
(sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -707281/11664))
(*.f64 -707281/11664 (log.f64 (pow.f64 (exp.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -707281/11664 (.f64 x x)))))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))
(cbrt.f64 (*.f64 (pow.f64 x 6) -353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (.f64 -707281/11664 (.f64 x x))))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(exp.f64 (log.f64 (.f64 -707281/11664 (.f64 x x))))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(exp.f64 (.f64 (log.f64 (.f64 -707281/11664 (*.f64 x x))) 1))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(log1p.f64 (expm1.f64 (.f64 -707281/11664 (.f64 x x))))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.13%	(fma.f64 841/108 x 4/29)
✓	0.26%	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
✓	0.29%	(/.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	@	0	(/.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	@	-inf	(/.f64 1 (fma.f64 841/108 x 4/29))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
0.0ms	x	@	0	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))

rewrite58.0ms (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 (fma.f64 841/108 x 4/29))
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))

Outputs

((#(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))))))))

((#(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)))))

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1158×	`unswap-sqr`
984×	`associate-+r+`
716×	`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	6158	1098

Stop Event

1×	node limit

Counts

74 → 82

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)))))
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 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))))
(+.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)

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 (.f64 17249876309/746496 x) x)))
(fma.f64 -707281/1728 x (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 -707281/1728 x))))
(+.f64 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (.f64 (.f64 17249876309/746496 x) x)) (fma.f64 -707281/1728 x 29/4))
(fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 -707281/1728 x (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 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 46656/20511149 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 (/.f64 46656/20511149 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)))))
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)
(+.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)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 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 (fma.f64 x 841/108 4/29))
(*.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (fma.f64 841/108 x 4/29))
(/.f64 1 (fma.f64 x 841/108 4/29))
(*.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(/.f64 1 (fma.f64 x 841/108 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 1 (fma.f64 x 841/108 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 x 841/108 4/29) -2)) (cbrt.f64 (fma.f64 x 841/108 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 (/.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 x 841/108 4/29) -2)) (cbrt.f64 (fma.f64 x 841/108 4/29)))
(*.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (fma.f64 841/108 x 4/29))
(/.f64 1 (fma.f64 x 841/108 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 1 (fma.f64 x 841/108 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))
(/.f64 1 (fma.f64 x 841/108 4/29))
(pow.f64 (fma.f64 841/108 x 4/29) -1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(/.f64 1 (fma.f64 x 841/108 4/29))
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(/.f64 1 (fma.f64 x 841/108 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))
(/.f64 1 (fma.f64 x 841/108 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))
(/.f64 1 (fma.f64 x 841/108 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))
(/.f64 1 (fma.f64 x 841/108 4/29))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))
(/.f64 1 (fma.f64 841/108 x 4/29))
(/.f64 1 (fma.f64 x 841/108 4/29))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(/.f64 1 (fma.f64 x 841/108 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))
(/.f64 1 (fma.f64 x 841/108 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))
(/.f64 1 (fma.f64 x 841/108 4/29))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(/.f64 1 (fma.f64 x 841/108 4/29))
(exp.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(/.f64 1 (fma.f64 x 841/108 4/29))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) -1))
(/.f64 1 (fma.f64 841/108 x 4/29))
(/.f64 1 (fma.f64 x 841/108 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))
(/.f64 1 (fma.f64 x 841/108 4/29))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(/.f64 1 (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 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(+.f64 (.f64 (.f64 841/108 x) 1) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(*.f64 1 (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(*.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 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)
(fma.f64 x 841/108 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)
(fma.f64 x 841/108 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)
(fma.f64 x 841/108 4/29)
(*.f64 -1 (neg.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 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)
(fma.f64 x 841/108 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 x 841/108 4/29)) (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2)))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 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 841/108 x 4/29)
(fma.f64 x 841/108 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))
✓	0.1%	(sqrt.f64 (*.f64 841/108 x))
	0.24%	(*.f64 841/108 x)
✓	0.44%	(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)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
0.0ms	x	@	inf	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
0.0ms	x	@	-inf	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))

rewrite133.0ms (1.9%)

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)))))

simplify109.0ms (1.6%)

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)

eval507.0ms (7.3%)

Compiler: Compiled 18284 to 14328 computations (21.6% saved)

prune215.0ms (3.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	850	6	856
Fresh	4	1	5
Picked	1	0	1
Done	2	2	4
Total	857	9	866

Error

0.01%

Counts

866 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	51.95%	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
▶	23.6%	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 4/29 (*.f64 x -841/108)))
▶	51.25%	(/.f64 1 (/.f64 108/841 x))
▶	51.57%	(/.f64 1 (-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
▶	46.61%	(/.f64 1 (+.f64 29/4 (fma.f64 17249876309/746496 (.f64 x x) (.f64 -707281/1728 x))))
✓	0.13%	(+.f64 (*.f64 841/108 x) 4/29)
▶	75.06%	(.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))
✓	51.11%	(*.f64 841/108 x)
	46.76%	4/29

Compiler

Compiled 148 to 120 computations (18.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 16/841 (.f64 (.f64 x x) 707281/11664))
✓	0.24%	(*.f64 x -841/108)
✓	0.28%	(.f64 (.f64 x x) 707281/11664)
✓	21.99%	(/.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)))

rewrite115.0ms (1.7%)

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
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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))))))))

simplify182.0ms (2.6%)

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 16777216/353814783205469041 (pow.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 3)) (.f64 (+.f64 16/841 (.f64 x (.f64 x 707281/11664))) (+.f64 65536/500246412961 (+.f64 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))))))
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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)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.42%	(/.f64 108/841 x)
✓	0.52%	(/.f64 1 (/.f64 108/841 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite87.0ms (1.3%)

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)))))))

simplify56.0ms (0.8%)

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)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))
	0.28%	(.f64 -707281/11664 (.f64 x x))
✓	0.42%	(/.f64 -108/841 x)
✓	22.59%	(.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))

Compiler

Compiled 34 to 20 computations (41.2% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite135.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`associate-*r/`
1072×	`associate-*l/`
1064×	`*-commutative`
544×	`associate-/r*`
516×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	245	49
2	3100	49

Stop Event

1×	node limit

Counts

3 → 270

Calls

Call 1

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

Outputs

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simplify131.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1328×	`associate-l`
1180×	`associate-r`
992×	`associate-/r*`
844×	`associate-/l/`
660×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	660	14460
1	1811	13546

Stop Event

1×	node limit

Counts

294 → 439

Calls

Call 1

Inputs
(/.f64 -1728/707281 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 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 (.f64 (.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)) (/.f64 -1728/707281 x))
(+.f64 (/.f64 -1728/707281 x) (.f64 (.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)))
(+.f64 (.f64 1 (/.f64 -1728/707281 x)) (.f64 1 (.f64 (.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x))))
(+.f64 (.f64 1 (.f64 (.f64 -707281/11664 (.f64 x x)) (/.f64 -108/841 x))) (*.f64 1 (/.f64 -1728/707281 x)))
(+.f64 (.f64 (/.f64 -1728/707281 x) 1) (.f64 (.f64 (.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)) 1))
(+.f64 (.f64 (.f64 (.f64 -707281/11664 (.f64 x x)) (/.f64 -108/841 x)) 1) (*.f64 (/.f64 -1728/707281 x) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x)))) 1)
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(/.f64 -108/841 (/.f64 x (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(/.f64 -108/841 (/.f64 (.f64 x (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))))
(/.f64 -108/841 (/.f64 (.f64 x (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729))) (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))))
(/.f64 (/.f64 -108/841 x) (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(/.f64 (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x)) 1)
(/.f64 1 (/.f64 x (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) -108/841)))
(/.f64 1 (/.f64 (.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (.f64 x -841/108)) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))))
(/.f64 1 (/.f64 (.f64 (.f64 x -841/108) (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729))) (+.f64 4096/594823321 (.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))))
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(/.f64 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) (-.f64 (.f64 -707281/11664 (*.f64 x x)) 16/841))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) (.f64 1 (-.f64 (.f64 -707281/11664 (.f64 x x)) 16/841)))
(/.f64 (-.f64 65536/500246412961 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (pow.f64 x 4) 500246412961/136048896))) (.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))))
(/.f64 (+.f64 68719476736/210457284365172120330305161 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) 3)) (.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729)) (-.f64 (+.f64 16777216/353814783205469041 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))))
(/.f64 (-.f64 16777216/353814783205469041 (pow.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 3)) (.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 65536/500246412961 (+.f64 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))))))
(/.f64 (neg.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (neg.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (neg.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (.f64 1 (neg.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)))))
(/.f64 (neg.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (neg.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (*.f64 x x) -841/729))))
(/.f64 (neg.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (.f64 1 (neg.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729)))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281)) (-.f64 (.f64 -707281/11664 (.f64 x x)) 16/841))
(/.f64 (.f64 1 (neg.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))) (neg.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))
(/.f64 (.f64 1 (neg.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))) (neg.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (sqrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))) (sqrt.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (*.f64 x x) -841/729))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (cbrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))) (cbrt.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (*.f64 x x) -841/729))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))) (cbrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) 1) (-.f64 (.f64 -707281/11664 (.f64 x x)) 16/841))
(/.f64 (.f64 (neg.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) 1) (neg.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))
(/.f64 (.f64 (neg.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) 1) (neg.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729))))
(/.f64 (.f64 (sqrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))) (sqrt.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (*.f64 x x) -841/729))))
(/.f64 (.f64 (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (.f64 (cbrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2)) (cbrt.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (*.f64 x x) -841/729))))
(/.f64 (.f64 (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2)) (cbrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (.f64 (-.f64 65536/500246412961 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 1 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (.f64 (-.f64 16777216/353814783205469041 (pow.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 3)) (/.f64 1 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (+.f64 65536/500246412961 (+.f64 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (.f64 (-.f64 16777216/353814783205469041 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (/.f64 1 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729)))) (-.f64 4096/594823321 (.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))
(/.f64 (.f64 (+.f64 68719476736/210457284365172120330305161 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) 3)) (/.f64 1 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729)))) (-.f64 (+.f64 16777216/353814783205469041 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664)))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))
(/.f64 (/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) 1) (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (*.f64 x x) -841/729)))
(/.f64 (/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (sqrt.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729)))) (sqrt.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729))))
(/.f64 (/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (.f64 (cbrt.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729))) (cbrt.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729))))) (cbrt.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729))))
(pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1)
(pow.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 3)
(pow.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2))
(log.f64 (exp.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(cbrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3))
(expm1.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(exp.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(log1p.f64 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 1 (.f64 -707281/11664 (.f64 x x)) 16/841)
(fma.f64 (.f64 x (sqrt.f64 -707281/11664)) (.f64 x (sqrt.f64 -707281/11664)) 16/841)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (.f64 -707281/11664 (*.f64 x x))) 16/841)
(fma.f64 (*.f64 -707281/11664 x) x 16/841)

Outputs
(/.f64 -1728/707281 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 841/108 x (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 841/108 x (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 841/108 x (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 841/108 x (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 841/108 x (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 841/108 x (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 841/108 x (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 841/108 x (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 841/108 x (/.f64 -1728/707281 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 (*.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 (.f64 (.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)) (/.f64 -1728/707281 x))
(fma.f64 (.f64 -707281/11664 (.f64 x x)) (/.f64 -108/841 x) (/.f64 -1728/707281 x))
(+.f64 (/.f64 -1728/707281 x) (/.f64 (.f64 (.f64 x x) 841/108) x))
(+.f64 (/.f64 -1728/707281 x) (.f64 (.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)))
(fma.f64 (.f64 -707281/11664 (.f64 x x)) (/.f64 -108/841 x) (/.f64 -1728/707281 x))
(+.f64 (/.f64 -1728/707281 x) (/.f64 (.f64 (.f64 x x) 841/108) x))
(+.f64 (.f64 1 (/.f64 -1728/707281 x)) (.f64 1 (.f64 (.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x))))
(fma.f64 (.f64 -707281/11664 (.f64 x x)) (/.f64 -108/841 x) (/.f64 -1728/707281 x))
(+.f64 (/.f64 -1728/707281 x) (/.f64 (.f64 (.f64 x x) 841/108) x))
(+.f64 (.f64 1 (.f64 (.f64 -707281/11664 (.f64 x x)) (/.f64 -108/841 x))) (*.f64 1 (/.f64 -1728/707281 x)))
(fma.f64 (.f64 -707281/11664 (.f64 x x)) (/.f64 -108/841 x) (/.f64 -1728/707281 x))
(+.f64 (/.f64 -1728/707281 x) (/.f64 (.f64 (.f64 x x) 841/108) x))
(+.f64 (.f64 (/.f64 -1728/707281 x) 1) (.f64 (.f64 (.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)) 1))
(fma.f64 (.f64 -707281/11664 (.f64 x x)) (/.f64 -108/841 x) (/.f64 -1728/707281 x))
(+.f64 (/.f64 -1728/707281 x) (/.f64 (.f64 (.f64 x x) 841/108) x))
(+.f64 (.f64 (.f64 (.f64 -707281/11664 (.f64 x x)) (/.f64 -108/841 x)) 1) (*.f64 (/.f64 -1728/707281 x) 1))
(fma.f64 (.f64 -707281/11664 (.f64 x x)) (/.f64 -108/841 x) (/.f64 -1728/707281 x))
(+.f64 (/.f64 -1728/707281 x) (/.f64 (.f64 (.f64 x x) 841/108) x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x)))) 1)
(.f64 (/.f64 -108/841 x) (fma.f64 -707281/11664 (.f64 x x) 16/841))
(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (/.f64 -108/841 x) (fma.f64 -707281/11664 (.f64 x x) 16/841))
(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)
(/.f64 -108/841 (/.f64 x (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(.f64 (/.f64 -108/841 x) (fma.f64 -707281/11664 (.f64 x x) 16/841))
(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)
(/.f64 -108/841 (/.f64 (.f64 x (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))))
(.f64 (/.f64 -108/841 x) (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 -707281/11664 (.f64 x x) -16/841)) (/.f64 -108/841 x))
(/.f64 -108/841 (/.f64 (.f64 x (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729))) (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))))
(/.f64 -108/841 (/.f64 (.f64 x (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 x (.f64 x -841/729))))) (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))))
(/.f64 (/.f64 (+.f64 -442368/500246412961 (.f64 (pow.f64 (.f64 x x) 3) 420707233300201/14693280768)) x) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))
(/.f64 (/.f64 -108/841 x) (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
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(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3) 1/3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2))
(log.f64 (exp.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(cbrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(expm1.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(exp.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(log1p.f64 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 1 (.f64 -707281/11664 (.f64 x x)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (.f64 x (sqrt.f64 -707281/11664)) (.f64 x (sqrt.f64 -707281/11664)) 16/841)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (.f64 -707281/11664 (*.f64 x x))) 16/841)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (.f64 x (*.f64 x -707281/11664))) 16/841)
(fma.f64 (*.f64 -707281/11664 x) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.12%	(fma.f64 17249876309/746496 (.f64 x x) (.f64 -707281/1728 x))
✓	0.56%	(*.f64 -707281/1728 x)
✓	0.67%	(/.f64 1 (+.f64 29/4 (fma.f64 17249876309/746496 (.f64 x x) (.f64 -707281/1728 x))))

Compiler

Compiled 42 to 26 computations (38.1% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite86.0ms (1.2%)

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 -707281/1728 x))))
(*.f64 -707281/1728 x)
(fma.f64 17249876309/746496 (.f64 x x) (.f64 -707281/1728 x))

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)))))))))

simplify89.0ms (1.3%)

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	4929
1	827	4195
2	3338	4195

Stop Event

1×	node limit

Counts

119 → 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 (.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 (+.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))

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.15%	(/.f64 1 (pow.f64 x 2))
✓	0.45%	(*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))
✓	0.5%	(*.f64 108/841 (/.f64 1 x))
✓	0.63%	(/.f64 1 (-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))

Compiler

Compiled 57 to 47 computations (17.5% saved)

series2.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1 (-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
0.0ms	x	@	0	(*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))
0.0ms	x	@	inf	(*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))
0.0ms	x	@	inf	(/.f64 1 (-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
0.0ms	x	@	-inf	(/.f64 1 (-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))

rewrite101.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1186×	`associate-/r*`
766×	`distribute-rgt-in`
712×	`distribute-lft-in`
524×	`associate-/l*`
480×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	320	58
2	3955	58

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

Inputs
(/.f64 1 (-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(*.f64 108/841 (/.f64 1 x))
(*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))

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

simplify112.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1238×	`associate-/r/`
596×	`distribute-lft-neg-in`
548×	`+-commutative`
520×	`associate-+r+`
492×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	507	6954
1	1365	6414
2	4790	6334

Stop Event

1×	node limit

Counts

216 → 291

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)))))
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(+.f64 (.f64 (/.f64 1 (-.f64 (/.f64 11664/707281 (.f64 x x)) (.f64 (pow.f64 x -4) 2176782336/420707233300201))) (/.f64 108/841 x)) (.f64 (/.f64 1 (-.f64 (/.f64 11664/707281 (.f64 x x)) (.f64 (pow.f64 x -4) 2176782336/420707233300201))) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (.f64 (/.f64 1 (-.f64 (/.f64 11664/707281 (.f64 x x)) (.f64 (pow.f64 x -4) 2176782336/420707233300201))) (/.f64 46656/20511149 (.f64 x x))) (.f64 (/.f64 1 (-.f64 (/.f64 11664/707281 (.f64 x x)) (*.f64 (pow.f64 x -4) 2176782336/420707233300201))) (/.f64 108/841 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3)))) (/.f64 11664/707281 (.f64 x x))) (.f64 (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3)))) (+.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (/.f64 5038848/17249876309 (pow.f64 x 3)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3)))) (+.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (/.f64 5038848/17249876309 (pow.f64 x 3)))) (.f64 (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3)))) (/.f64 11664/707281 (.f64 x x))))
(+.f64 (.f64 (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3)))) (+.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (/.f64 11664/707281 (.f64 x x)))) (.f64 (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3)))) (/.f64 5038848/17249876309 (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 108/841 x) (/.f64 1 (-.f64 (/.f64 11664/707281 (.f64 x x)) (.f64 (pow.f64 x -4) 2176782336/420707233300201)))) (.f64 (/.f64 46656/20511149 (.f64 x x)) (/.f64 1 (-.f64 (/.f64 11664/707281 (.f64 x x)) (*.f64 (pow.f64 x -4) 2176782336/420707233300201)))))
(+.f64 (.f64 (/.f64 46656/20511149 (.f64 x x)) (/.f64 1 (-.f64 (/.f64 11664/707281 (.f64 x x)) (.f64 (pow.f64 x -4) 2176782336/420707233300201)))) (.f64 (/.f64 108/841 x) (/.f64 1 (-.f64 (/.f64 11664/707281 (.f64 x x)) (*.f64 (pow.f64 x -4) 2176782336/420707233300201)))))
(+.f64 (.f64 (/.f64 11664/707281 (.f64 x x)) (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3))))) (.f64 (+.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (/.f64 5038848/17249876309 (pow.f64 x 3))) (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3))))))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (/.f64 5038848/17249876309 (pow.f64 x 3))) (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3))))) (.f64 (/.f64 11664/707281 (.f64 x x)) (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3))))))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (/.f64 11664/707281 (.f64 x x))) (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3))))) (.f64 (/.f64 5038848/17249876309 (pow.f64 x 3)) (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))))) 1)
(.f64 1 (/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x)))))
(.f64 (/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x)))) 1)
(.f64 (pow.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x))) -1/2) (pow.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) -1/2))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) -2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))))
(.f64 -1 (/.f64 -1 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x)))) 2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))))
(.f64 (/.f64 1 (-.f64 (/.f64 11664/707281 (.f64 x x)) (.f64 (pow.f64 x -4) 2176782336/420707233300201))) (+.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (.f64 x x))))
(.f64 (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3)))) (+.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (+.f64 (/.f64 5038848/17249876309 (pow.f64 x 3)) (/.f64 11664/707281 (.f64 x x)))))
(.f64 (/.f64 -1 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x)))) -1)
(.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x)))) -1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))) -1))
(.f64 (/.f64 (+.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (.f64 x x))) (-.f64 (.f64 (/.f64 11664/707281 (.f64 x x)) (/.f64 11664/707281 (.f64 x x))) (.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (.f64 (pow.f64 x -4) 2176782336/420707233300201)))) (+.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (/.f64 11664/707281 (.f64 x x))))
(.f64 (/.f64 (+.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (.f64 x x))) (-.f64 (pow.f64 (/.f64 11664/707281 (.f64 x x)) 3) (pow.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) 3))) (+.f64 (+.f64 (.f64 (/.f64 11664/707281 (.f64 x x)) (/.f64 11664/707281 (.f64 x x))) (.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (.f64 (pow.f64 x -4) 2176782336/420707233300201))) (.f64 (/.f64 11664/707281 (.f64 x x)) (*.f64 (pow.f64 x -4) 2176782336/420707233300201))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (/.f64 11664/707281 (.f64 x x)) (.f64 (pow.f64 x -4) 2176782336/420707233300201)))) (neg.f64 (+.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (.f64 x x)))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3))))) (neg.f64 (+.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (+.f64 (/.f64 5038848/17249876309 (pow.f64 x 3)) (/.f64 11664/707281 (.f64 x x))))))
(.f64 (/.f64 1 (-.f64 (/.f64 11664/707281 (.f64 x x)) (.f64 (/.f64 -46656/20511149 (.f64 x x)) (/.f64 -46656/20511149 (.f64 x x))))) (-.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x))) 2) (.f64 (+.f64 (/.f64 46656/20511149 (.f64 x x)) (/.f64 -46656/20511149 (.f64 x x))) (+.f64 (/.f64 46656/20511149 (.f64 x x)) (/.f64 -46656/20511149 (.f64 x x)))))) (+.f64 (/.f64 108/841 x) (-.f64 (/.f64 -46656/20511149 (.f64 x x)) (+.f64 (/.f64 46656/20511149 (.f64 x x)) (/.f64 -46656/20511149 (.f64 x x))))))
(.f64 (/.f64 1 (+.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (/.f64 -46656/20511149 (.f64 x x)) 3))) (-.f64 (+.f64 (/.f64 11664/707281 (.f64 x x)) (.f64 (/.f64 -46656/20511149 (.f64 x x)) (/.f64 -46656/20511149 (.f64 x x)))) (.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x))) 3) (pow.f64 (+.f64 (/.f64 46656/20511149 (.f64 x x)) (/.f64 -46656/20511149 (.f64 x x))) 3))) (+.f64 (pow.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x))) 2) (-.f64 (.f64 (+.f64 (/.f64 46656/20511149 (.f64 x x)) (/.f64 -46656/20511149 (.f64 x x))) (+.f64 (/.f64 46656/20511149 (.f64 x x)) (/.f64 -46656/20511149 (.f64 x x)))) (.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x))) (+.f64 (/.f64 46656/20511149 (.f64 x x)) (/.f64 -46656/20511149 (.f64 x x)))))))
(.f64 (/.f64 1 (-.f64 (.f64 108/841 (.f64 x x)) (.f64 x 46656/20511149))) (pow.f64 x 3))
(.f64 (/.f64 (pow.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x))) -1/2) (sqrt.f64 (-.f64 (/.f64 11664/707281 (.f64 x x)) (.f64 (pow.f64 x -4) 2176782336/420707233300201)))) (sqrt.f64 (+.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x))) -1/2) (sqrt.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (+.f64 (/.f64 5038848/17249876309 (pow.f64 x 3)) (/.f64 11664/707281 (*.f64 x x))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (/.f64 11664/707281 (.f64 x x)) (.f64 (pow.f64 x -4) 2176782336/420707233300201)))) (+.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (.f64 x x))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3))))) (+.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (+.f64 (/.f64 5038848/17249876309 (pow.f64 x 3)) (/.f64 11664/707281 (.f64 x x)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x)))) 2)) (cbrt.f64 (-.f64 (/.f64 11664/707281 (.f64 x x)) (.f64 (pow.f64 x -4) 2176782336/420707233300201)))) (cbrt.f64 (+.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x)))) 2)) (cbrt.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (+.f64 (/.f64 5038848/17249876309 (pow.f64 x 3)) (/.f64 11664/707281 (*.f64 x x))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (+.f64 (/.f64 5038848/17249876309 (pow.f64 x 3)) (/.f64 11664/707281 (.f64 x x)))) (-.f64 (.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 1259712/594823321 (pow.f64 x 3))) (.f64 (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3))))) (+.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201) (+.f64 (/.f64 5038848/17249876309 (pow.f64 x 3)) (/.f64 11664/707281 (.f64 x x)))) (-.f64 (pow.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) 3) (pow.f64 (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3)) 3))) (+.f64 (+.f64 (.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 1259712/594823321 (pow.f64 x 3))) (.f64 (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3)))) (.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x x) 3)))))
(pow.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) -1)
(pow.f64 (/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) 3)) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x)))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (.f64 x x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 108/841 x))) 1)
(/.f64 1 (/.f64 x 108/841))
(/.f64 1 (*.f64 1 (/.f64 x 108/841)))
(/.f64 108/841 x)
(/.f64 (/.f64 1 x) 841/108)
(/.f64 (/.f64 108/841 x) 1)
(/.f64 (pow.f64 x -1/2) (/.f64 1 (*.f64 (pow.f64 x -1/2) 108/841)))
(/.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 1 (sqrt.f64 (/.f64 108/841 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 x)) 108/841)))
(/.f64 (cbrt.f64 (/.f64 108/841 x)) (/.f64 1 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x)))))
(/.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) (/.f64 1 (cbrt.f64 (/.f64 108/841 x))))
(/.f64 (*.f64 108/841 (pow.f64 x -1/2)) (/.f64 1 (pow.f64 x -1/2)))
(/.f64 (*.f64 108/841 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 (/.f64 1 x))))
(/.f64 -108/841 (neg.f64 x))
(/.f64 (/.f64 108/841 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 108/841 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (/.f64 108/841 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 108/841 (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 -108/841 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 -108/841 (cbrt.f64 (*.f64 x x))) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 -108/841 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 -108/841 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 -108/841 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 -108/841 (neg.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 108/841 (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 108/841 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 108/841 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 108/841 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 108/841 (cbrt.f64 (*.f64 x x))) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 108/841 (cbrt.f64 (*.f64 x x))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 108/841 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 108/841 (cbrt.f64 (.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 108/841 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (/.f64 108/841 x) 1)
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)
(pow.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) 1/3)
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 108/841 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 108/841 x))))
(cbrt.f64 (/.f64 1259712/594823321 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 108/841 x)))
(exp.f64 (log.f64 (/.f64 108/841 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 108/841 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 108/841 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 46656/20511149 (*.f64 x x)))) 1)
(/.f64 1 (/.f64 x (/.f64 46656/20511149 x)))
(/.f64 1 (*.f64 1 (/.f64 x (/.f64 46656/20511149 x))))
(/.f64 (/.f64 1 x) (/.f64 1 (*.f64 (/.f64 1 x) 46656/20511149)))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (pow.f64 x -2) 20511149/46656)
(/.f64 (/.f64 46656/20511149 (*.f64 x x)) 1)
(/.f64 (/.f64 (sqrt.f64 46656/20511149) x) (/.f64 1 (/.f64 (sqrt.f64 46656/20511149) x)))
(/.f64 (cbrt.f64 (pow.f64 x -4)) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 x -2)) 46656/20511149)))
(/.f64 (cbrt.f64 (/.f64 46656/20511149 (.f64 x x))) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 x -4) 2176782336/420707233300201)) (/.f64 1 (cbrt.f64 (/.f64 46656/20511149 (.f64 x x)))))
(/.f64 -46656/20511149 (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 46656/20511149 (cbrt.f64 (pow.f64 x -4))) (/.f64 1 (cbrt.f64 (pow.f64 x -2))))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 (/.f64 46656/20511149 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 46656/20511149 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 46656/20511149 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 x) x))
(/.f64 (/.f64 46656/20511149 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 46656/20511149 (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 46656/20511149 (.f64 x (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))
(/.f64 (/.f64 -46656/20511149 x) (neg.f64 x))
(/.f64 (/.f64 -46656/20511149 (cbrt.f64 (pow.f64 x 4))) (neg.f64 (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 -46656/20511149 (neg.f64 x)) x)
(/.f64 (/.f64 -46656/20511149 (sqrt.f64 (.f64 x (neg.f64 x)))) (sqrt.f64 (.f64 x (neg.f64 x))))
(/.f64 (/.f64 -46656/20511149 (.f64 (cbrt.f64 (.f64 x (neg.f64 x))) (cbrt.f64 (.f64 x (neg.f64 x))))) (cbrt.f64 (.f64 x (neg.f64 x))))
(/.f64 (/.f64 -46656/20511149 (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 46656/20511149 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 46656/20511149 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 46656/20511149 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 46656/20511149 x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 46656/20511149 (cbrt.f64 (pow.f64 x 4))) 1) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 46656/20511149 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 46656/20511149 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (cbrt.f64 (.f64 x x)))) (sqrt.f64 (cbrt.f64 (.f64 x x))))
(/.f64 (/.f64 (/.f64 46656/20511149 (cbrt.f64 (pow.f64 x 4))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 x x))))) (cbrt.f64 (cbrt.f64 (.f64 x x))))
(/.f64 (/.f64 (/.f64 46656/20511149 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(pow.f64 (/.f64 46656/20511149 (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 46656/20511149) x) 2)
(pow.f64 (cbrt.f64 (/.f64 46656/20511149 (*.f64 x x))) 3)
(pow.f64 (/.f64 101559956668416/8629188747598184440949 (pow.f64 (*.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x -4) 2176782336/420707233300201))
(log.f64 (pow.f64 (exp.f64 46656/20511149) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 46656/20511149 (*.f64 x x)))))
(cbrt.f64 (/.f64 101559956668416/8629188747598184440949 (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (/.f64 46656/20511149 (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 46656/20511149 (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (/.f64 46656/20511149 (.f64 x x))) 1))
(log1p.f64 (expm1.f64 (/.f64 46656/20511149 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)
(*.f64 1 (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) 1)
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 -1 (neg.f64 (pow.f64 x -2)))
(*.f64 (neg.f64 (pow.f64 x -2)) -1)
(.f64 (.f64 (/.f64 1 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(.f64 (.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x x)) -2) (pow.f64 (cbrt.f64 x) -2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (cbrt.f64 (.f64 x x)) -1))
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (pow.f64 x -1/2))
(.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 1 x)))
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (*.f64 x x) -1)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(sqrt.f64 (pow.f64 x -4))
(log.f64 (exp.f64 (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(exp.f64 (*.f64 -2 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) -2))
(exp.f64 (.f64 (.f64 2 (log.f64 x)) -1))
(exp.f64 (.f64 (.f64 -2 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))

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)))
(fma.f64 -500246412961/20155392 (pow.f64 x 3) (.f64 -20511149/46656 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 -20511149/46656 (*.f64 x -500246412961/20155392)))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (.f64 -12200509765705829/8707129344 (pow.f64 x 4))))
(+.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)))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -297558232675799463481/3761479876608 (pow.f64 x 5) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 x 841/108) 4/29)
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (fma.f64 x 841/108 (/.f64 1728/707281 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 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 4/29 (fma.f64 746496/17249876309 (pow.f64 x -2) (fma.f64 x 841/108 (/.f64 1728/707281 x))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 x 841/108) 4/29)
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (fma.f64 x 841/108 (/.f64 1728/707281 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 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 4/29 (fma.f64 746496/17249876309 (pow.f64 x -2) (fma.f64 x 841/108 (/.f64 1728/707281 x))))
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
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(/.f64 46656/20511149 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 46656/20511149 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 x) x))
(/.f64 46656/20511149 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 46656/20511149 (.f64 x (cbrt.f64 x))) (cbrt.f64 (.f64 x x)))
(/.f64 (/.f64 46656/20511149 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(/.f64 (/.f64 46656/20511149 (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(/.f64 (/.f64 46656/20511149 (.f64 x (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))
(/.f64 46656/20511149 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 46656/20511149 (.f64 x (cbrt.f64 x))) (cbrt.f64 (.f64 x x)))
(/.f64 (/.f64 -46656/20511149 x) (neg.f64 x))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(/.f64 (/.f64 -46656/20511149 (cbrt.f64 (pow.f64 x 4))) (neg.f64 (cbrt.f64 (*.f64 x x))))
(/.f64 46656/20511149 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 -46656/20511149 (neg.f64 x)) x)
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(/.f64 (/.f64 -46656/20511149 (sqrt.f64 (.f64 x (neg.f64 x)))) (sqrt.f64 (.f64 x (neg.f64 x))))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(/.f64 (/.f64 -46656/20511149 (.f64 (cbrt.f64 (.f64 x (neg.f64 x))) (cbrt.f64 (.f64 x (neg.f64 x))))) (cbrt.f64 (.f64 x (neg.f64 x))))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(/.f64 (/.f64 -46656/20511149 (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (*.f64 x x)))
(/.f64 46656/20511149 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (/.f64 46656/20511149 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(/.f64 (/.f64 (/.f64 46656/20511149 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 46656/20511149 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 46656/20511149 (.f64 x (cbrt.f64 x))) (cbrt.f64 (.f64 x x)))
(/.f64 (/.f64 (/.f64 46656/20511149 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 46656/20511149 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 46656/20511149 (.f64 x (cbrt.f64 x))) (cbrt.f64 (.f64 x x)))
(/.f64 (/.f64 (/.f64 46656/20511149 x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 46656/20511149 x) (.f64 (sqrt.f64 (cbrt.f64 (.f64 x x))) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))))
(/.f64 46656/20511149 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (cbrt.f64 (*.f64 x x)))) x))
(/.f64 (/.f64 (/.f64 46656/20511149 (cbrt.f64 (pow.f64 x 4))) 1) (cbrt.f64 (*.f64 x x)))
(/.f64 46656/20511149 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (/.f64 46656/20511149 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (/.f64 46656/20511149 (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 46656/20511149 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (cbrt.f64 (.f64 x x)))) (sqrt.f64 (cbrt.f64 (.f64 x x))))
(/.f64 46656/20511149 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (/.f64 46656/20511149 (cbrt.f64 (pow.f64 x 4))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 x x))))) (cbrt.f64 (cbrt.f64 (.f64 x x))))
(/.f64 46656/20511149 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (/.f64 46656/20511149 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 46656/20511149 (cbrt.f64 (pow.f64 x 4))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))))
(/.f64 (/.f64 46656/20511149 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))) (cbrt.f64 (cbrt.f64 (.f64 x x))))
(pow.f64 (/.f64 46656/20511149 (*.f64 x x)) 1)
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 46656/20511149) x) 2)
(*.f64 (/.f64 (/.f64 (sqrt.f64 46656/20511149) x) 1) (/.f64 (sqrt.f64 46656/20511149) x))
(pow.f64 (cbrt.f64 (/.f64 46656/20511149 (*.f64 x x))) 3)
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(pow.f64 (/.f64 101559956668416/8629188747598184440949 (pow.f64 (*.f64 x x) 3)) 1/3)
(cbrt.f64 (/.f64 101559956668416/8629188747598184440949 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (/.f64 101559956668416/8629188747598184440949 (pow.f64 x 6)))
(sqrt.f64 (*.f64 (pow.f64 x -4) 2176782336/420707233300201))
(log.f64 (pow.f64 (exp.f64 46656/20511149) (pow.f64 x -2)))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 46656/20511149 (*.f64 x x)))))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(cbrt.f64 (/.f64 101559956668416/8629188747598184440949 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (/.f64 101559956668416/8629188747598184440949 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (/.f64 46656/20511149 (*.f64 x x))))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(exp.f64 (log.f64 (/.f64 46656/20511149 (*.f64 x x))))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (/.f64 46656/20511149 (.f64 x x))) 1))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (/.f64 46656/20511149 (*.f64 x x))))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)
(pow.f64 x -2)
(*.f64 1 (pow.f64 x -2))
(pow.f64 x -2)
(*.f64 (/.f64 1 x) (/.f64 1 x))
(pow.f64 x -2)
(*.f64 (pow.f64 x -2) 1)
(pow.f64 x -2)
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (/.f64 1 x)))
(pow.f64 x -2)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (/.f64 1 x)) x))
(*.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))
(*.f64 -1 (neg.f64 (pow.f64 x -2)))
(pow.f64 x -2)
(*.f64 (neg.f64 (pow.f64 x -2)) -1)
(pow.f64 x -2)
(.f64 (.f64 (/.f64 1 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 x -2)
(.f64 (.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (/.f64 1 x)) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))
(pow.f64 (sqrt.f64 x) -4)
(.f64 (pow.f64 (cbrt.f64 (.f64 x x)) -2) (pow.f64 (cbrt.f64 x) -2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (cbrt.f64 (.f64 x x)) -1))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (cbrt.f64 (.f64 x x))))
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x)))
(.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (.f64 x x))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) x) (cbrt.f64 (*.f64 x x)))
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(pow.f64 x -2)
(sqrt.f64 (pow.f64 x -4))
(log.f64 (exp.f64 (pow.f64 x -2)))
(pow.f64 x -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(pow.f64 x -2)
(exp.f64 (*.f64 -2 (log.f64 x)))
(pow.f64 x -2)
(exp.f64 (*.f64 (log.f64 x) -2))
(pow.f64 x -2)
(exp.f64 (.f64 (.f64 2 (log.f64 x)) -1))
(pow.f64 x -2)
(exp.f64 (.f64 (.f64 -2 (log.f64 x)) 1))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(pow.f64 x -2)

eval840.0ms (12.1%)

Compiler: Compiled 30872 to 22689 computations (26.5% saved)

prune537.0ms (7.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1313	4	1317
Fresh	1	1	2
Picked	1	0	1
Done	2	4	6
Total	1317	9	1326

Error

0.01%

Counts

1326 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	51.95%	(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
✓	23.6%	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 4/29 (*.f64 x -841/108)))
✓	51.25%	(/.f64 1 (/.f64 108/841 x))
▶	46.61%	(/.f64 1 (+.f64 29/4 (.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))))
▶	51.32%	(/.f64 1 (*.f64 (/.f64 1 x) 108/841))
✓	0.13%	(+.f64 (*.f64 841/108 x) 4/29)
▶	74.65%	(.f64 (.f64 x (*.f64 x -707281/11664)) (/.f64 -108/841 x))
✓	51.11%	(*.f64 841/108 x)
	46.76%	4/29

Compiler

Compiled 69 to 56 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.24%	(.f64 x (.f64 x -707281/11664))
✓	0.26%	(*.f64 x -707281/11664)
	0.42%	(/.f64 -108/841 x)
✓	47.84%	(.f64 (.f64 x (*.f64 x -707281/11664)) (/.f64 -108/841 x))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite75.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1890×	`add-sqr-sqrt`
1852×	`*-un-lft-identity`
1746×	`add-cube-cbrt`
1722×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	193	39
2	2357	39

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

Outputs

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

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

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1586×	`associate-*r/`
1464×	`associate-/l*`
1248×	`associate-*l/`
1004×	`unswap-sqr`
854×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	784
1	274	760
2	1409	760

Stop Event

1×	node limit

Counts

84 → 59

Calls

Call 1

Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.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 (exp.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) 841/108) x))) 1)
(/.f64 (.f64 x (.f64 x -707281/11664)) (*.f64 x -841/108))
(/.f64 1 (/.f64 x (.f64 (.f64 x x) 841/108)))
(/.f64 (.f64 (.f64 x x) 841/108) x)
(/.f64 (.f64 (.f64 x (*.f64 x -707281/11664)) 108/841) (neg.f64 x))
(/.f64 (.f64 108/841 (.f64 x (*.f64 x -707281/11664))) (neg.f64 x))
(/.f64 (/.f64 (.f64 (.f64 x x) 841/108) 1) x)
(/.f64 (/.f64 (.f64 (.f64 x x) 841/108) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (.f64 (.f64 x x) 841/108) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 x x) 841/108)) (neg.f64 x))
(pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 2))
(log.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (.f64 x x) 841/108) x))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(exp.f64 (log.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (*.f64 x x) 841/108) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -707281/11664))) 1)
(pow.f64 (*.f64 x -707281/11664) 1)
(pow.f64 (sqrt.f64 (*.f64 x -707281/11664)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -707281/11664)) 3)
(pow.f64 (pow.f64 (*.f64 x -707281/11664) 3) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 500246412961/136048896))
(log.f64 (pow.f64 (exp.f64 x) -707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -707281/11664))))
(cbrt.f64 (pow.f64 (*.f64 x -707281/11664) 3))
(expm1.f64 (log1p.f64 (*.f64 x -707281/11664)))
(exp.f64 (log.f64 (*.f64 x -707281/11664)))
(exp.f64 (.f64 (log.f64 (.f64 x -707281/11664)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -707281/11664)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -707281/11664)))) 1)
(pow.f64 (.f64 x (.f64 x -707281/11664)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -707281/11664))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x -707281/11664)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 x -707281/11664)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x -707281/11664)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -707281/11664)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -707281/11664))))
(exp.f64 (log.f64 (.f64 x (.f64 x -707281/11664))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x -707281/11664))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -707281/11664))))

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 -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)
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) 841/108) x))) 1)
(*.f64 841/108 x)
(/.f64 (.f64 x (.f64 x -707281/11664)) (*.f64 x -841/108))
(*.f64 841/108 x)
(/.f64 1 (/.f64 x (.f64 (.f64 x x) 841/108)))
(*.f64 841/108 x)
(/.f64 (.f64 (.f64 x x) 841/108) x)
(*.f64 841/108 x)
(/.f64 (.f64 (.f64 x (*.f64 x -707281/11664)) 108/841) (neg.f64 x))
(*.f64 841/108 x)
(/.f64 (.f64 108/841 (.f64 x (*.f64 x -707281/11664))) (neg.f64 x))
(*.f64 841/108 x)
(/.f64 (/.f64 (.f64 (.f64 x x) 841/108) 1) x)
(*.f64 841/108 x)
(/.f64 (/.f64 (.f64 (.f64 x x) 841/108) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 841/108 x)
(/.f64 (/.f64 (.f64 (.f64 x x) 841/108) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 841/108 x)
(/.f64 (neg.f64 (.f64 (.f64 x x) 841/108)) (neg.f64 x))
(*.f64 841/108 x)
(pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 1)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)) 2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)) 3)
(*.f64 841/108 x)
(pow.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 3) 1/3)
(*.f64 841/108 x)
(sqrt.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (/.f64 x 841/108)) 2))
(fabs.f64 (/.f64 x 108/841))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (.f64 x x) 841/108) x))))
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 3))
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(*.f64 841/108 x)
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (*.f64 x x) 841/108) x)) 1))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -707281/11664))) 1)
(*.f64 x -707281/11664)
(pow.f64 (*.f64 x -707281/11664) 1)
(*.f64 x -707281/11664)
(pow.f64 (sqrt.f64 (*.f64 x -707281/11664)) 2)
(*.f64 x -707281/11664)
(pow.f64 (cbrt.f64 (*.f64 x -707281/11664)) 3)
(*.f64 x -707281/11664)
(pow.f64 (pow.f64 (*.f64 x -707281/11664) 3) 1/3)
(*.f64 x -707281/11664)
(sqrt.f64 (.f64 (.f64 x x) 500246412961/136048896))
(sqrt.f64 (.f64 x (.f64 x 500246412961/136048896)))
(log.f64 (pow.f64 (exp.f64 x) -707281/11664))
(*.f64 x -707281/11664)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -707281/11664))))
(*.f64 x -707281/11664)
(cbrt.f64 (pow.f64 (*.f64 x -707281/11664) 3))
(*.f64 x -707281/11664)
(expm1.f64 (log1p.f64 (*.f64 x -707281/11664)))
(*.f64 x -707281/11664)
(exp.f64 (log.f64 (*.f64 x -707281/11664)))
(*.f64 x -707281/11664)
(exp.f64 (.f64 (log.f64 (.f64 x -707281/11664)) 1))
(*.f64 x -707281/11664)
(log1p.f64 (expm1.f64 (*.f64 x -707281/11664)))
(*.f64 x -707281/11664)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -707281/11664)))) 1)
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(pow.f64 (.f64 x (.f64 x -707281/11664)) 1)
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -707281/11664))) 3)
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x -707281/11664)) 3) 1/3)
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x -707281/11664)) 2))
(fabs.f64 (.f64 -707281/11664 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664)))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x -707281/11664)))))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -707281/11664)) 3))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -707281/11664))))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x -707281/11664))))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x -707281/11664))) 1))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -707281/11664))))
(.f64 x (.f64 x -707281/11664))
(.f64 -707281/11664 (.f64 x x))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5%	(*.f64 (/.f64 1 x) 108/841)
✓	0.52%	(/.f64 1 (*.f64 (/.f64 1 x) 108/841))

Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`add-sqr-sqrt`
1436×	`*-un-lft-identity`
1346×	`add-cube-cbrt`
1334×	`add-cbrt-cube`
1318×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	166	14
2	1984	14

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

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

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1516×	`associate-r`
1304×	`associate-+r+`
1250×	`associate-l`
1214×	`associate-+l+`
604×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	556
1	210	556
2	855	556
3	5887	556

Stop Event

1×	node limit

Counts

70 → 52

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (*.f64 17249876309/746496 x) -707281/1728)
✓	0.19%	(*.f64 17249876309/746496 x)
✓	0.38%	(.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))
✓	0.67%	(/.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 1 (+.f64 29/4 (.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))

rewrite112.0ms (1.6%)

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
((#(struct:change #<rule egg-rr> (2) ((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))) (neg.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)))))))) (#(struct:change #<rule egg-rr> (2) ((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 -1 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)))))))) (#(struct:change #<rule egg-rr> (2) ((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 x) (fma.f64 x 17249876309/746496 -707281/1728))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 17249876309/746496 -707281/1728)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 17249876309/746496) -707281/1728)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 17249876309/746496 -707281/1728)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 17249876309/746496 x -707281/1728)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 17249876309/746496)) (sqrt.f64 (.f64 x 17249876309/746496)) -707281/1728)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 17249876309/746496)) 2) (cbrt.f64 (*.f64 x 17249876309/746496)) -707281/1728)))))

simplify164.0ms (2.4%)

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))
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(*.f64 -707281/1728 x)
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(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
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(*.f64 17249876309/746496 (pow.f64 x 2))
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(+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x))
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(*.f64 17249876309/746496 (pow.f64 x 2))
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(+.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)))))
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(+.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)))
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(+.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 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728))) 2)) (cbrt.f64 (*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))))))
(+.f64 (.f64 (/.f64 1 (+.f64 24389/64 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 3))) 841/16) (.f64 (/.f64 1 (+.f64 24389/64 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 3))) (.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) (-.f64 (*.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 29/4))))
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(+.f64 (.f64 29/4 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2)))) (.f64 (.f64 -1 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728))) (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2)))))
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(+.f64 (.f64 29/4 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2)))) (.f64 (.f64 (neg.f64 (fma.f64 x 17249876309/746496 -707281/1728)) x) (/.f64 1 (-.f64 841/16 (pow.f64 (*.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2)))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) 29/4)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) 29/4)))
(*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) 29/4)) 1)
(*.f64 (pow.f64 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) 29/4) -1/2) (pow.f64 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) 29/4) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) 29/4))) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) 29/4) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) 29/4) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) 29/4))))
(*.f64 -1 (/.f64 -1 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) 29/4)))
(*.f64 (/.f64 -1 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) 29/4)) -1)
(.f64 (/.f64 1 (-.f64 841/16 (pow.f64 (.f64 x (fma.f64 x 17249876309/746496 -707281/1728)) 2))) (-.f64 29/4 (*.f64 x (fma.f64 x 17249876309/746496 -707281/1728))))
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(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) 29/4)) -1) (pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) 29/4)) -1))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x 17249876309/746496))) 709009/1728)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 17249876309/746496 -707281/1728))) 1)
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 17249876309/746496 707281/1728) 297558232675799463481/557256278016)) (/.f64 500246412961/2985984 (fma.f64 x 17249876309/746496 707281/1728)))
(-.f64 (+.f64 -707281/1728 (exp.f64 (log1p.f64 (*.f64 x 17249876309/746496)))) 1)
(*.f64 1 (fma.f64 x 17249876309/746496 -707281/1728))
(*.f64 (fma.f64 x 17249876309/746496 -707281/1728) 1)
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(/.f64 1 (/.f64 1 (fma.f64 x 17249876309/746496 -707281/1728)))
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(/.f64 (-.f64 500246412961/2985984 (.f64 (.f64 x x) 297558232675799463481/557256278016)) (-.f64 -707281/1728 (*.f64 x 17249876309/746496)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x 17249876309/746496) 3) (pow.f64 (.f64 x 17249876309/746496) 3)) 125184900814733057351483732809459681/26623333280885243904) (.f64 (+.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 (.f64 (.f64 x x) 297558232675799463481/557256278016) (.f64 (.f64 x x) 297558232675799463481/557256278016)) 250246473680347348787521/8916100448256) (.f64 (fma.f64 x 17249876309/746496 707281/1728) (+.f64 500246412961/2985984 (.f64 (.f64 x x) 297558232675799463481/557256278016))))
(/.f64 (+.f64 -44292268542362921407825091617016319887724139383235921/137370551967459378662586974208 (pow.f64 (pow.f64 (.f64 x 17249876309/746496) 3) 3)) (.f64 (+.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 (pow.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) 3) 125184900814733057351483732809459681/26623333280885243904) (.f64 (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 (neg.f64 (+.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) -500246412961/2985984)) (neg.f64 (fma.f64 x 17249876309/746496 707281/1728)))
(/.f64 (neg.f64 (+.f64 -353814783205469041/5159780352 (pow.f64 (.f64 x 17249876309/746496) 3))) (neg.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (.f64 x -12200509765705829/1289945088)))))
(/.f64 (.f64 1 (-.f64 500246412961/2985984 (.f64 (.f64 x x) 297558232675799463481/557256278016))) (-.f64 -707281/1728 (.f64 x 17249876309/746496)))
(/.f64 (.f64 1 (neg.f64 (+.f64 (.f64 (*.f64 x x) 297558232675799463481/557256278016) -500246412961/2985984))) (neg.f64 (fma.f64 x 17249876309/746496 707281/1728)))
(/.f64 (.f64 1 (neg.f64 (+.f64 -353814783205469041/5159780352 (pow.f64 (.f64 x 17249876309/746496) 3)))) (neg.f64 (+.f64 500246412961/2985984 (-.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) (*.f64 x -12200509765705829/1289945088)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x 17249876309/746496 -707281/1728)) (sqrt.f64 (+.f64 (.f64 (*.f64 x x) 297558232675799463481/557256278016) -500246412961/2985984))) (sqrt.f64 (fma.f64 x 17249876309/746496 707281/1728)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x 17249876309/746496 -707281/1728)) (sqrt.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)))))
(/.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)))))
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(/.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))
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(/.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)))
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(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))
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(/.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 (pow.f64 (.f64 x x) 3) 26346074268992142099064516382762907506814419719803282255713641/173047332760032188813804762453508096) -125184900814733057351483732809459681/26623333280885243904) (.f64 (fma.f64 x 17249876309/746496 707281/1728) (+.f64 (.f64 (pow.f64 x 4) 88540901833145211536614766025207452637361/310534559388245484896256) (+.f64 250246473680347348787521/8916100448256 (.f64 (.f64 x x) 148852438543083302439338564577241/1663958330055327744)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 6) 26346074268992142099064516382762907506814419719803282255713641/173047332760032188813804762453508096 -125184900814733057351483732809459681/26623333280885243904) (fma.f64 x 17249876309/746496 707281/1728)) (fma.f64 (pow.f64 x 4) 88540901833145211536614766025207452637361/310534559388245484896256 (fma.f64 (*.f64 x x) 148852438543083302439338564577241/1663958330055327744 250246473680347348787521/8916100448256)))
(/.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 (pow.f64 (.f64 x 17249876309/746496) 6) -125184900814733057351483732809459681/26623333280885243904) (.f64 (+.f64 500246412961/2985984 (fma.f64 (.f64 x x) 297558232675799463481/557256278016 (neg.f64 (.f64 x -12200509765705829/1289945088)))) (+.f64 (*.f64 (pow.f64 x 3) 5132842708382182842735812571629/415989582513831936) 353814783205469041/5159780352)))
(/.f64 (fma.f64 (pow.f64 x 6) 26346074268992142099064516382762907506814419719803282255713641/173047332760032188813804762453508096 -125184900814733057351483732809459681/26623333280885243904) (.f64 (+.f64 500246412961/2985984 (.f64 x (-.f64 (*.f64 x 297558232675799463481/557256278016) -12200509765705829/1289945088))) (fma.f64 (pow.f64 x 3) 5132842708382182842735812571629/415989582513831936 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 -44292268542362921407825091617016319887724139383235921/137370551967459378662586974208 (pow.f64 (.f64 (pow.f64 x 3) 5132842708382182842735812571629/415989582513831936) 3)) (+.f64 500246412961/2985984 (fma.f64 (.f64 x x) 297558232675799463481/557256278016 (neg.f64 (.f64 x -12200509765705829/1289945088))))) (+.f64 (pow.f64 (.f64 x 17249876309/746496) 6) (-.f64 125184900814733057351483732809459681/26623333280885243904 (.f64 -353814783205469041/5159780352 (.f64 (pow.f64 x 3) 5132842708382182842735812571629/415989582513831936)))))
(/.f64 (/.f64 (+.f64 -44292268542362921407825091617016319887724139383235921/137370551967459378662586974208 (.f64 (pow.f64 (pow.f64 x 3) 3) 135230255206091764641535378540095183473656798245965125676583002652084460790119320162824891189/71985887709977942542923281963158971906162046959353856)) (+.f64 500246412961/2985984 (.f64 x (-.f64 (.f64 x 297558232675799463481/557256278016) -12200509765705829/1289945088)))) (+.f64 (.f64 (pow.f64 x 6) 26346074268992142099064516382762907506814419719803282255713641/173047332760032188813804762453508096) (-.f64 125184900814733057351483732809459681/26623333280885243904 (*.f64 (pow.f64 x 3) -1816075630094014572464024421543167816955354437789/2146414874491552791602921472))))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 297558232675799463481/557256278016) -500246412961/2985984) 1) (fma.f64 x 17249876309/746496 707281/1728))
(/.f64 (fma.f64 (*.f64 x x) 297558232675799463481/557256278016 -500246412961/2985984) (fma.f64 x 17249876309/746496 707281/1728))
(/.f64 (fma.f64 x (*.f64 x 297558232675799463481/557256278016) -500246412961/2985984) (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 (fma.f64 (*.f64 x x) 297558232675799463481/557256278016 -500246412961/2985984) (fma.f64 x 17249876309/746496 707281/1728))
(/.f64 (fma.f64 x (*.f64 x 297558232675799463481/557256278016) -500246412961/2985984) (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 (fma.f64 (*.f64 x x) 297558232675799463481/557256278016 -500246412961/2985984) (fma.f64 x 17249876309/746496 707281/1728))
(/.f64 (fma.f64 x (*.f64 x 297558232675799463481/557256278016) -500246412961/2985984) (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 -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)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.24%	(*.f64 x 841/108)
✓	0.91%	(cbrt.f64 (*.f64 x 841/108))
✓	1.21%	(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series7.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
1.0ms	x	@	-inf	(cbrt.f64 (*.f64 x 841/108))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
0.0ms	x	@	inf	(cbrt.f64 (*.f64 x 841/108))

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1430×	`add-sqr-sqrt`
1392×	`*-un-lft-identity`
1322×	`add-cube-cbrt`
1310×	`add-cbrt-cube`
1294×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	186	25
2	1863	25

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(cbrt.f64 (*.f64 x 841/108))
(*.f64 x 841/108)

Outputs

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

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

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Rules

692×	`log-prod`
678×	`sqr-pow`
674×	`associate-/l*`
642×	`cube-prod`
592×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	991
1	250	865
2	1057	739
3	2543	739
4	4974	739

Stop Event

1×	node limit

Counts

77 → 66

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

Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(-.f64 (+.f64 1 (*.f64 x 841/108)) 1)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x (pow.f64 (cbrt.f64 841/108) 3))
(*.f64 841/108 x)
(*.f64 841/108 x)
(.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(*.f64 841/108 x)
(.f64 (.f64 x 841/108) 1)
(*.f64 841/108 x)
(.f64 1 (.f64 x 841/108))
(*.f64 841/108 x)
(.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(.f64 (pow.f64 (.f64 x 841/108) 1/6) (.f64 (pow.f64 (.f64 x 841/108) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))
(*.f64 841/108 x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 841/108))
(*.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 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))
(*.f64 841/108 x)
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 841/108) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 841/108) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)))
(.f64 (cbrt.f64 841/108) (.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (*.f64 (cbrt.f64 841/108) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) 841/108))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 841/108 (cbrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 841/108 (cbrt.f64 (*.f64 x x))))
(.f64 841/108 (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 841/108 x)
(.f64 (.f64 841/108 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 841/108 (cbrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 841/108 (cbrt.f64 (*.f64 x x))))
(.f64 841/108 (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) 1) (cbrt.f64 (.f64 x 841/108)))
(*.f64 841/108 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (pow.f64 (.f64 x 841/108) 1/6)) (pow.f64 (*.f64 x 841/108) 1/6))
(*.f64 841/108 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))))
(*.f64 841/108 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 x)) (cbrt.f64 841/108))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 841/108) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)))
(.f64 (cbrt.f64 841/108) (.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (*.f64 (cbrt.f64 841/108) (cbrt.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 x 841/108) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x 841/108) 1/6) 3))
(*.f64 841/108 x)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) 2) 3) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(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 (+.f64 1 (cbrt.f64 (*.f64 x 841/108))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(.f64 (cbrt.f64 (.f64 x 841/108)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(.f64 1 (cbrt.f64 (.f64 x 841/108)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(.f64 (pow.f64 (.f64 x 841/108) 1/6) (pow.f64 (*.f64 x 841/108) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(*.f64 (cbrt.f64 841/108) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 841/108))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 841/108))
(*.f64 (cbrt.f64 841/108) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x 841/108)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(.f64 (pow.f64 (sqrt.f64 (.f64 x 841/108)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x 841/108)) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(pow.f64 (*.f64 x 841/108) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(pow.f64 (pow.f64 (*.f64 x 841/108) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 841/108))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 841/108))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 841/108))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 841/108))) 1))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 841/108))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(-.f64 (+.f64 1 (*.f64 x 841/108)) 1)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(*.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 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3/2)
(*.f64 841/108 x)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(*.f64 841/108 x)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(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)

eval245.0ms (3.5%)

Compiler: Compiled 9639 to 7511 computations (22.1% saved)

prune81.0ms (1.2%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	513	2	515
Fresh	0	1	1
Picked	1	0	1
Done	0	7	7
Total	514	10	524

Error

Counts

524 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.6%	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 4/29 (*.f64 x -841/108)))
	74.54%	(/.f64 (.f64 (.f64 x x) 841/108) x)
✓	51.25%	(/.f64 1 (/.f64 108/841 x))
✓	46.61%	(/.f64 1 (+.f64 29/4 (.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))))
✓	51.32%	(/.f64 1 (*.f64 (/.f64 1 x) 108/841))
✓	0.13%	(+.f64 (*.f64 841/108 x) 4/29)
✓	74.65%	(.f64 (.f64 x (*.f64 x -707281/11664)) (/.f64 -108/841 x))
	51.4%	(*.f64 x (pow.f64 (cbrt.f64 841/108) 3))
✓	51.11%	(*.f64 841/108 x)
	46.76%	4/29

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes41.0ms (0.6%)

Counts

24 → 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 1 (*.f64 (/.f64 1 x) 108/841))
(/.f64 (.f64 (.f64 x x) 841/108) x)
(.f64 (.f64 x (*.f64 x -707281/11664)) (/.f64 -108/841 x))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))
(/.f64 1 (+.f64 29/4 (.f64 x (+.f64 (.f64 17249876309/746496 x) -707281/1728))))
(/.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 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
(fma.f64 841/108 x 4/29)
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (+.f64 29/4 (fma.f64 17249876309/746496 (.f64 x x) (.f64 -707281/1728 x))))
(/.f64 1 (-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(*.f64 x (pow.f64 (cbrt.f64 841/108) 3))
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) (.f64 (+.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)))

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

Calls

3 calls:

13.0ms	x
12.0ms	(*.f64 (/.f64 841 108) x)
7.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Results

Error	Segments	Branch
0.13%	1	`x`
0.13%	1	`(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))`
0.13%	1	`(*.f64 (/.f64 841 108) x)`

Compiler

Compiled 246 to 193 computations (21.5% saved)

regimes10.0ms (0.1%)

Accuracy

Total -60.8b remaining (-6554.4%)

Threshold costs -60.8b (-6554.4%)

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:

9.0ms

Results

Error	Segments	Branch
1.45%	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.0916383224762122e-9	36.58741605505839
18.0ms	-5.735412166513692e+20	-0.00012518826101439137

Results

30.0ms

336×

body

256

valid

Compiler

Compiled 182 to 159 computations (12.6% saved)

simplify6.0ms (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	16	47
1	23	47

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 841/108 x) 4/29)
(if (<=.f64 x -1261007895663739/72057594037927936) (.f64 841/108 x) (if (<=.f64 x 1261007895663739/72057594037927936) 4/29 (.f64 841/108 x)))
4/29

Outputs
(+.f64 (*.f64 841/108 x) 4/29)
(if (<=.f64 x -1261007895663739/72057594037927936) (.f64 841/108 x) (if (<=.f64 x 1261007895663739/72057594037927936) 4/29 (.f64 841/108 x)))
4/29

Compiler

Compiled 24 to 19 computations (20.8% saved)

soundness12.0ms (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)

end24.0ms (0.3%)

Compiler: Compiled 22 to 17 computations (22.7% saved)