Details

analyze3.0ms (0.1%)

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)

sample1.0s (27.6%)

Results

993.0ms	8251×	body	256	valid
1.0ms	3×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess5.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify14.0ms (0.4%)

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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 841/108 x 4/29)
▶	0.1b	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
✓	0.2b	(*.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	@	0	(*.f64 (/.f64 841 108) x)
0.0ms	x	@	inf	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
0.0ms	x	@	0	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

rewrite101.0ms (2.7%)

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

simplify149.0ms (4%)

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)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(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)

rewrite51.0ms (1.4%)

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)))))))

simplify58.0ms (1.5%)

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)

eval145.0ms (3.9%)

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

prune31.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	217	8	225
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	219	8	227

Error

0.0b

Counts

227 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.1b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
▶	16.6b	(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
▶	15.8b	(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (.f64 (/.f64 707281/11664 (+.f64 4/29 (.f64 x -841/108))) (.f64 x x)))
	0.6b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
▶	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
	10.9b	(.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)))))
▶	34.7b	(*.f64 841/108 x)
	28.6b	4/29

Compiler

Compiled 180 to 148 computations (17.8% saved)

localize22.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 841/108 x) 4/29)
✓	0.2b	(*.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)

rewrite59.0ms (1.6%)

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)))))

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 57

Calls

Call 1

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

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

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(*.f64 841/108 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 4/29 (*.f64 841/108 x))
✓	0.1b	(.f64 -707281/11664 (.f64 x x))
	0.2b	(*.f64 841/108 x)
✓	15.0b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 42 to 27 computations (35.7% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite83.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`associate-*r/`
1422×	`associate-*l/`
954×	`associate-/r*`
798×	`associate-/l*`
294×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	295	59
2	3813	59

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 (*.f64 x -841/108) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -841/108) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x 841/108)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4/29 (*.f64 x -841/108)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 4/29 (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2) (cbrt.f64 (+.f64 4/29 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simplify140.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1630×	`associate-*l/`
1044×	`distribute-lft-in`
1002×	`distribute-rgt-in`
930×	`associate-/r/`
730×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	310	4394
1	798	3912
2	3415	3912

Stop Event

1×	node limit

Counts

152 → 178

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))
4/29
(+.f64 (*.f64 -841/108 x) 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(*.f64 -841/108 x)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(*.f64 -841/108 x)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (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 -1 (-.f64 -4/29 (*.f64 x -841/108))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1)
(.f64 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 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (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 -1 (-.f64 -4/29 (*.f64 x -841/108)))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) 2) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 -1 (-.f64 -4/29 (.f64 x -841/108))) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(.f64 (neg.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (cbrt.f64 (+.f64 4/29 (.f64 x -841/108)))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (-.f64 4/29 (*.f64 x -841/108)))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (+.f64 4/29 (.f64 x -841/108))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (+.f64 4/29 (.f64 x -841/108))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841)) -1)
(neg.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (-.f64 -4/29 (.f64 x -841/108))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 2))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(-.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 (exp.f64 (*.f64 x x)) -707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -707281/11664 (.f64 x x)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (.f64 -707281/11664 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -707281/11664 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 -707281/11664 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 -707281/11664 (.f64 x x))))
(+.f64 4/29 (*.f64 x -841/108))
(+.f64 4/29 (.f64 (.f64 x -841/108) 1))
(+.f64 (*.f64 x -841/108) 4/29)
(+.f64 (.f64 (.f64 x -841/108) 1) 4/29)
(+.f64 (-.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x 841/108)))) 1)
(.f64 (+.f64 4/29 (.f64 x -841/108)) 1)
(.f64 1 (+.f64 4/29 (.f64 x -841/108)))
(.f64 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108))) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))))
(.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))))
(.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (/.f64 1 (-.f64 4/29 (.f64 x -841/108))))
(.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (*.f64 29/27 x)))))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) 1)
(/.f64 1 (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))))
(/.f64 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108))) (/.f64 1 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))))
(/.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2) (/.f64 1 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108)))))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (/.f64 1 (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))))
(/.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (/.f64 1 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))))))
(/.f64 (sqrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (/.f64 (-.f64 4/29 (.f64 x -841/108)) (sqrt.f64 (-.f64 16/841 (.f64 (*.f64 x x) 707281/11664)))))
(/.f64 (sqrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (/.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))) (sqrt.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (cbrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (/.f64 (-.f64 4/29 (.f64 x -841/108)) (cbrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (cbrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (/.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))) (cbrt.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))))
(/.f64 (neg.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (neg.f64 (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (neg.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x)))))
(/.f64 (-.f64 16/841 (.f64 (.f64 x -841/108) (.f64 x -841/108))) (-.f64 4/29 (.f64 x -841/108)))
(/.f64 (+.f64 64/24389 (pow.f64 (.f64 x -841/108) 3)) (+.f64 16/841 (-.f64 (.f64 (.f64 x -841/108) (.f64 x -841/108)) (.f64 4/29 (.f64 x -841/108)))))
(/.f64 (.f64 1 (neg.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (neg.f64 (-.f64 4/29 (.f64 x -841/108))))
(/.f64 (.f64 1 (neg.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (neg.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (*.f64 29/27 x)))))
(/.f64 (.f64 1 (-.f64 16/841 (.f64 (.f64 x -841/108) (.f64 x -841/108)))) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (.f64 1 (+.f64 64/24389 (pow.f64 (.f64 x -841/108) 3))) (+.f64 16/841 (-.f64 (.f64 (.f64 x -841/108) (.f64 x -841/108)) (.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108))) (sqrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (sqrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (.f64 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108))) (sqrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (sqrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2) (cbrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2) (cbrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x)))))
(/.f64 (.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) 1) (-.f64 4/29 (.f64 x -841/108)))
(/.f64 (.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) 1) (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (*.f64 29/27 x))))
(/.f64 (.f64 (neg.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) 1) (neg.f64 (-.f64 4/29 (.f64 x -841/108))))
(/.f64 (.f64 (neg.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) 1) (neg.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (*.f64 29/27 x)))))
(/.f64 (.f64 (-.f64 16/841 (.f64 (.f64 x -841/108) (.f64 x -841/108))) 1) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (.f64 (+.f64 64/24389 (pow.f64 (.f64 x -841/108) 3)) 1) (+.f64 16/841 (-.f64 (.f64 (.f64 x -841/108) (.f64 x -841/108)) (.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (.f64 (sqrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (.f64 (cbrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x)))))
(/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664)))
(/.f64 (.f64 (-.f64 4096/594823321 (pow.f64 (.f64 (.f64 x x) 707281/11664) 3)) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (+.f64 256/707281 (+.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) (.f64 16/841 (.f64 (.f64 x x) 707281/11664)))))
(/.f64 (.f64 (-.f64 4096/594823321 (.f64 (.f64 (pow.f64 x 3) 594823321/1259712) (.f64 (pow.f64 x 3) 594823321/1259712))) (/.f64 1 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))))) (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))
(/.f64 (.f64 (-.f64 262144/14507145975869 (pow.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 3)) (/.f64 1 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))))) (+.f64 4096/594823321 (+.f64 (.f64 (.f64 (pow.f64 x 3) 594823321/1259712) (.f64 (pow.f64 x 3) 594823321/1259712)) (.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))))
(/.f64 (/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) 1) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (sqrt.f64 (-.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (-.f64 4/29 (.f64 x -841/108))))
(/.f64 (/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (.f64 (cbrt.f64 (-.f64 4/29 (.f64 x -841/108))) (cbrt.f64 (-.f64 4/29 (.f64 x -841/108))))) (cbrt.f64 (-.f64 4/29 (.f64 x -841/108))))
(/.f64 (/.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) 1) (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))))
(/.f64 (/.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (sqrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))))) (sqrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (*.f64 29/27 x)))))
(/.f64 (/.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (.f64 (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x)))) (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x)))))) (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (*.f64 29/27 x)))))
(pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 1)
(pow.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)
(pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 3)
(pow.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 2))
(log.f64 (exp.f64 (+.f64 4/29 (*.f64 x -841/108))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 3))
(expm1.f64 (log.f64 (+.f64 33/29 (*.f64 x -841/108))))
(exp.f64 (log.f64 (+.f64 4/29 (*.f64 x -841/108))))
(exp.f64 (.f64 (log.f64 (+.f64 4/29 (.f64 x -841/108))) 1))
(log1p.f64 (expm1.f64 (+.f64 4/29 (*.f64 x -841/108))))

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
4/29
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 (*.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 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(-.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) (fma.f64 x -841/108 4/29))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (-.f64 -4/29 (.f64 x -841/108)))
(/.f64 (+.f64 -16/841 (.f64 x (.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (.f64 x (.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(.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) (fma.f64 x -841/108 4/29))
(.f64 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) (fma.f64 x -841/108 4/29))
(.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (-.f64 -4/29 (.f64 x -841/108)))
(/.f64 (+.f64 -16/841 (.f64 x (.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (.f64 x (.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(.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 -1 (-.f64 -4/29 (*.f64 x -841/108)))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (-.f64 -4/29 (.f64 x -841/108)))
(/.f64 (+.f64 -16/841 (.f64 x (.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (.f64 x (.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) 2) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(.f64 (/.f64 -1 (-.f64 -4/29 (.f64 x -841/108))) (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 -841/108)))
(/.f64 (+.f64 -16/841 (.f64 x (.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (.f64 x (.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(.f64 (neg.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (-.f64 -4/29 (.f64 x -841/108)))
(/.f64 (+.f64 -16/841 (.f64 x (.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (.f64 x (.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
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(/.f64 (.f64 1 (neg.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (neg.f64 (-.f64 4/29 (.f64 x -841/108))))
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(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 841/108 x 4/29))
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(/.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (*.f64 x 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(/.f64 (.f64 1 (-.f64 16/841 (.f64 (.f64 x -841/108) (.f64 x -841/108)))) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 841/108 x 4/29))
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(/.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (*.f64 x 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(/.f64 (.f64 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108))) (sqrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (sqrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (sqrt.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (/.f64 (sqrt.f64 (-.f64 4/29 (*.f64 x -841/108))) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)))
(/.f64 (.f64 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108))) (sqrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (sqrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x)))))
(/.f64 (sqrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (/.f64 (sqrt.f64 (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (*.f64 x 29/27)))) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (fma.f64 (.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))) (sqrt.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2) (cbrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (cbrt.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (/.f64 (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)))
(.f64 (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (cbrt.f64 (fma.f64 841/108 x 4/29))) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2) (cbrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (/.f64 (cbrt.f64 (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (.f64 x 29/27)))) (cbrt.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (fma.f64 (.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))) (cbrt.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))
(/.f64 (.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) 1) (-.f64 4/29 (.f64 x -841/108)))
(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 841/108 x 4/29))
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(/.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (*.f64 x 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(/.f64 (.f64 (neg.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) 1) (neg.f64 (-.f64 4/29 (.f64 x -841/108))))
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(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 841/108 x 4/29))
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(/.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (*.f64 x 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(/.f64 (.f64 (-.f64 16/841 (.f64 (.f64 x -841/108) (.f64 x -841/108))) 1) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 841/108 x 4/29))
(/.f64 (.f64 (+.f64 64/24389 (pow.f64 (.f64 x -841/108) 3)) 1) (+.f64 16/841 (-.f64 (.f64 (.f64 x -841/108) (.f64 x -841/108)) (.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (*.f64 x 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(/.f64 (.f64 (sqrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (sqrt.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (/.f64 (sqrt.f64 (-.f64 4/29 (*.f64 x -841/108))) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)))
(/.f64 (.f64 (sqrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x)))))
(/.f64 (sqrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (/.f64 (sqrt.f64 (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (*.f64 x 29/27)))) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (fma.f64 (.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))) (sqrt.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))
(/.f64 (.f64 (cbrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (cbrt.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (/.f64 (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)))
(.f64 (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (cbrt.f64 (fma.f64 841/108 x 4/29))) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (/.f64 (cbrt.f64 (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (.f64 x 29/27)))) (cbrt.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (fma.f64 (.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))) (cbrt.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))
(/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664)))
(/.f64 (-.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (/.f64 (+.f64 16/841 (.f64 x (.f64 x 707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (fma.f64 841/108 x 4/29)) (fma.f64 x (.f64 x 707281/11664) 16/841))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (fma.f64 841/108 x 4/29)))
(/.f64 (.f64 (-.f64 4096/594823321 (pow.f64 (.f64 (.f64 x x) 707281/11664) 3)) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (+.f64 256/707281 (+.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) (.f64 16/841 (.f64 (.f64 x x) 707281/11664)))))
(/.f64 (.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (+.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (.f64 16/841 (.f64 x (.f64 x 707281/11664)))))
(/.f64 (/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 x 6) -353814783205469041/1586874322944)) (fma.f64 841/108 x 4/29)) (+.f64 256/707281 (fma.f64 500246412961/136048896 (pow.f64 x 4) (.f64 (*.f64 x x) 841/729))))
(/.f64 (.f64 (-.f64 4096/594823321 (.f64 (.f64 (pow.f64 x 3) 594823321/1259712) (.f64 (pow.f64 x 3) 594823321/1259712))) (/.f64 1 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))))) (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))
(/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (*.f64 x 29/27))))))
(/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 x 6) -353814783205469041/1586874322944)) (.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841)))
(/.f64 (.f64 (-.f64 262144/14507145975869 (pow.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 3)) (/.f64 1 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))))) (+.f64 4096/594823321 (+.f64 (.f64 (.f64 (pow.f64 x 3) 594823321/1259712) (.f64 (pow.f64 x 3) 594823321/1259712)) (.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))))
(/.f64 (-.f64 262144/14507145975869 (pow.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 3)) (/.f64 (+.f64 4096/594823321 (.f64 (.f64 (pow.f64 x 3) 594823321/1259712) (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (/.f64 1 (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (.f64 x 29/27))))))
(/.f64 (/.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 (pow.f64 x 3) 3) -210457284365172120330305161/1999004627104432128)) (fma.f64 (.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841)) (+.f64 4096/594823321 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 (*.f64 (pow.f64 x 3) 24389/19683))))
(/.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 (pow.f64 x 3) 3) -210457284365172120330305161/1999004627104432128)) (.f64 (+.f64 4096/594823321 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 (.f64 (pow.f64 x 3) 24389/19683))) (fma.f64 (.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841)))
(/.f64 (/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) 1) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 841/108 x 4/29))
(/.f64 (/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (sqrt.f64 (-.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (-.f64 4/29 (.f64 x -841/108))))
(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 841/108 x 4/29))
(/.f64 (/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (.f64 (cbrt.f64 (-.f64 4/29 (.f64 x -841/108))) (cbrt.f64 (-.f64 4/29 (.f64 x -841/108))))) (cbrt.f64 (-.f64 4/29 (.f64 x -841/108))))
(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (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 (.f64 x x) 707281/11664) (.f64 29/27 x))))
(/.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (*.f64 x 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(/.f64 (/.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (sqrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))))) (sqrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (*.f64 29/27 x)))))
(/.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (*.f64 x 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(/.f64 (/.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (.f64 (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x)))) (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x)))))) (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (*.f64 29/27 x)))))
(/.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (*.f64 x 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 1)
(fma.f64 x -841/108 4/29)
(pow.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)
(fma.f64 x -841/108 4/29)
(pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 3)
(fma.f64 x -841/108 4/29)
(pow.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 3) 1/3)
(fma.f64 x -841/108 4/29)
(sqrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2))
(fabs.f64 (fma.f64 x -841/108 4/29))
(log.f64 (exp.f64 (+.f64 4/29 (*.f64 x -841/108))))
(fma.f64 x -841/108 4/29)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(fma.f64 x -841/108 4/29)
(cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 3))
(fma.f64 x -841/108 4/29)
(expm1.f64 (log.f64 (+.f64 33/29 (*.f64 x -841/108))))
(expm1.f64 (log.f64 (+.f64 (*.f64 x -841/108) 33/29)))
(expm1.f64 (log.f64 (fma.f64 x -841/108 33/29)))
(exp.f64 (log.f64 (+.f64 4/29 (*.f64 x -841/108))))
(fma.f64 x -841/108 4/29)
(exp.f64 (.f64 (log.f64 (+.f64 4/29 (.f64 x -841/108))) 1))
(fma.f64 x -841/108 4/29)
(log1p.f64 (expm1.f64 (+.f64 4/29 (*.f64 x -841/108))))
(fma.f64 x -841/108 4/29)

localize35.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
	0.1b	(.f64 -707281/11664 (.f64 x x))
	0.2b	(*.f64 841/108 x)
✓	15.5b	(/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))))

Compiler

Compiled 58 to 39 computations (32.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite97.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	80
1	339	66
2	4433	66

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

Outputs

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

simplify160.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

928×	`+-commutative`
824×	`*-commutative`
802×	`distribute-lft-in`
692×	`distribute-rgt-in`
664×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	512	10333
1	1663	8351
2	7789	8351

Stop Event

1×	node limit

Counts

181 → 270

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

Outputs
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(fma.f64 -707281/1728 x 29/4)
(+.f64 29/4 (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x)))
(+.f64 29/4 (fma.f64 17249876309/746496 (.f64 x x) (.f64 -707281/1728 x)))
(+.f64 29/4 (fma.f64 -707281/1728 x (.f64 17249876309/746496 (.f64 x 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 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 17249876309/746496 (.f64 x x))) (fma.f64 -707281/1728 x 29/4))
(+.f64 (fma.f64 -707281/1728 x 29/4) (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (.f64 17249876309/746496 (.f64 x x))))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) (/.f64 20155392/500246412961 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 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 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))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (neg.f64 (.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (*.f64 x x) 16/841)))))
(-.f64 (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 (.f64 x 841/108) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -841/108 (/.f64 x (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841)))
(+.f64 (neg.f64 (.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (.f64 x x) 16/841)))) (/.f64 4/29 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(-.f64 (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 (.f64 x 841/108) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -841/108 (/.f64 x (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841)))
(-.f64 (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(-.f64 (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 (.f64 x 841/108) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -841/108 (/.f64 x (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 4/29 (fma.f64 -707281/11664 (.f64 x x) 16/841)))
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(.f64 (/.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (/.f64 (+.f64 4096/594823321 (.f64 353814783205469041/1586874322944 (pow.f64 (.f64 x x) 3))) (+.f64 256/707281 (.f64 -500246412961/136048896 (pow.f64 x 4))))) (+.f64 256/707281 (fma.f64 500246412961/136048896 (pow.f64 x 4) (.f64 (*.f64 x x) -841/729))))
(/.f64 (/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x -841/108 4/29)) (/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944)) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 x (.f64 x -841/729))))))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 4096/594823321 (.f64 -353814783205469041/1586874322944 (pow.f64 (.f64 x x) 3)))) (-.f64 65536/500246412961 (.f64 (-.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 -841/729 (.f64 x x))) (-.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 -841/729 (.f64 x x)))))) (+.f64 (-.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (.f64 -841/729 (*.f64 x x))))
(.f64 (/.f64 (.f64 (+.f64 4096/594823321 (.f64 -353814783205469041/1586874322944 (pow.f64 (.f64 x x) 3))) (/.f64 1 (+.f64 4/29 (.f64 x -841/108)))) (-.f64 65536/500246412961 (.f64 (fma.f64 500246412961/136048896 (pow.f64 x 4) (neg.f64 (.f64 (.f64 x x) -841/729))) (fma.f64 500246412961/136048896 (pow.f64 x 4) (neg.f64 (.f64 (.f64 x x) -841/729)))))) (-.f64 256/707281 (fma.f64 500246412961/136048896 (pow.f64 x 4) (neg.f64 (.f64 (.f64 x x) -841/729)))))
(.f64 (/.f64 (/.f64 (fma.f64 -353814783205469041/1586874322944 (pow.f64 x 6) 4096/594823321) (fma.f64 x -841/108 4/29)) (-.f64 65536/500246412961 (.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729)) (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))) (-.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 4096/594823321 (.f64 -353814783205469041/1586874322944 (pow.f64 (.f64 x x) 3)))) (+.f64 16777216/353814783205469041 (pow.f64 (-.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 -841/729 (.f64 x x))) 3))) (+.f64 65536/500246412961 (-.f64 (.f64 (-.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 -841/729 (.f64 x x))) (-.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 -841/729 (.f64 x x)))) (.f64 256/707281 (-.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 -841/729 (*.f64 x x)))))))
(.f64 (/.f64 (.f64 (+.f64 4096/594823321 (.f64 -353814783205469041/1586874322944 (pow.f64 (.f64 x x) 3))) (/.f64 1 (+.f64 4/29 (.f64 x -841/108)))) (+.f64 16777216/353814783205469041 (pow.f64 (fma.f64 500246412961/136048896 (pow.f64 x 4) (neg.f64 (.f64 (.f64 x x) -841/729))) 3))) (+.f64 65536/500246412961 (.f64 (fma.f64 500246412961/136048896 (pow.f64 x 4) (neg.f64 (.f64 (.f64 x x) -841/729))) (-.f64 (fma.f64 500246412961/136048896 (pow.f64 x 4) (neg.f64 (.f64 (.f64 x x) -841/729))) 256/707281))))
(/.f64 (.f64 (/.f64 (fma.f64 -353814783205469041/1586874322944 (pow.f64 x 6) 4096/594823321) (fma.f64 x -841/108 4/29)) (fma.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729)) (+.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729)) -256/707281) 65536/500246412961)) (+.f64 16777216/353814783205469041 (pow.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (*.f64 x x) 841/729)) 3)))
(.f64 (/.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (sqrt.f64 (+.f64 4/29 (.f64 841/108 x))))
(.f64 (/.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))))) (sqrt.f64 (+.f64 4/29 (.f64 x 841/108))))
(.f64 (/.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (fma.f64 x 841/108 4/29)))
(.f64 (/.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (sqrt.f64 (+.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 29/27 x))))
(.f64 (/.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (sqrt.f64 (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (.f64 x 29/27)))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))) (sqrt.f64 (fma.f64 x 29/27 (fma.f64 x (.f64 x 707281/11664) 16/841))))
(.f64 (/.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (cbrt.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (cbrt.f64 (+.f64 4/29 (.f64 841/108 x))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 (cbrt.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2))) (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)))) (cbrt.f64 (fma.f64 x 841/108 4/29)))
(.f64 (/.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (cbrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (cbrt.f64 (+.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 29/27 x))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 (cbrt.f64 (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2))) (cbrt.f64 (+.f64 16/841 (fma.f64 (.f64 x x) 707281/11664 (*.f64 x 29/27)))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))) (cbrt.f64 (fma.f64 x 29/27 (fma.f64 x (.f64 x 707281/11664) 16/841))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841))) 2)) 1) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (.f64 1 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 2))
(/.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (fma.f64 x -841/108 4/29))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (.f64 x x) 16/841))) 2))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841))) 2)) (cbrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 1 (.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841))) 2))))
(/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 2) (cbrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841))) 2)) (cbrt.f64 (-.f64 -4/29 (.f64 x -841/108)))) (cbrt.f64 (-.f64 -16/841 (.f64 x (.f64 x -707281/11664)))))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (.f64 x x) 16/841))) 2) (cbrt.f64 (-.f64 -4/29 (.f64 x -841/108))))) (cbrt.f64 (+.f64 -16/841 (.f64 x (.f64 x 707281/11664)))))
(pow.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841)) -1)
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 1)
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) 2)
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) 3)
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 3) 1/3)
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 2))
(fabs.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29)))
(log.f64 (exp.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))))))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 3))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) 3) (pow.f64 (+.f64 4/29 (.f64 x -841/108)) 3)))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (-.f64 (log.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (log.f64 (+.f64 4/29 (.f64 x -841/108)))))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) -1))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 1))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))

localize56.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))
✓	0.2b	(*.f64 x -841/108)
✓	0.2b	(/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108)))
✓	14.9b	(.f64 (/.f64 707281/11664 (+.f64 4/29 (.f64 x -841/108))) (*.f64 x x))

Compiler

Compiled 61 to 45 computations (26.2% saved)

series2.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite121.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1772×	`associate-*r/`
1512×	`associate-*l/`
862×	`associate-/r*`
580×	`associate-/l*`
276×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	288	64
2	3559	64

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

Outputs
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simplify123.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1622×	`associate-/l*`
684×	`associate-r`
654×	`associate-l`
642×	`times-frac`
602×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	556	7474
1	1479	7108
2	7698	7108

Stop Event

1×	node limit

Counts

244 → 319

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

Outputs
(*.f64 20511149/46656 (pow.f64 x 2))
(.f64 20511149/46656 (.f64 x x))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (.f64 500246412961/20155392 (pow.f64 x 3)))
(fma.f64 20511149/46656 (.f64 x x) (.f64 500246412961/20155392 (pow.f64 x 3)))
(fma.f64 500246412961/20155392 (pow.f64 x 3) (.f64 20511149/46656 (.f64 x x)))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))
(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 500246412961/20155392 (pow.f64 x 3)) (+.f64 (.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(fma.f64 20511149/46656 (.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 297558232675799463481/3761479876608 (pow.f64 x 5) (.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(fma.f64 20511149/46656 (.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 12200509765705829/8707129344 (pow.f64 x 4) (.f64 297558232675799463481/3761479876608 (pow.f64 x 5)))))
(*.f64 -841/108 x)
(*.f64 x -841/108)
(-.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x -4/29)
(fma.f64 x -841/108 -4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(-.f64 (fma.f64 -841/108 x -4/29) (/.f64 1728/707281 x))
(+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x))
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(-.f64 (fma.f64 -841/108 x -4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (fma.f64 x -841/108 -4/29) (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)))
(+.f64 (+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x)) (/.f64 -746496/17249876309 (*.f64 x x)))
(*.f64 -841/108 x)
(*.f64 x -841/108)
(-.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x -4/29)
(fma.f64 x -841/108 -4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(-.f64 (fma.f64 -841/108 x -4/29) (/.f64 1728/707281 x))
(+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x))
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(-.f64 (fma.f64 -841/108 x -4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (fma.f64 x -841/108 -4/29) (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)))
(+.f64 (+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x)) (/.f64 -746496/17249876309 (*.f64 x x)))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 20511149/46656 (pow.f64 x 2))))
(+.f64 4/29 (fma.f64 841/108 x (.f64 20511149/46656 (.f64 x x))))
(+.f64 (.f64 20511149/46656 (.f64 x x)) (fma.f64 x 841/108 4/29))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 4/29 (fma.f64 841/108 x (fma.f64 20511149/46656 (.f64 x x) (.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 (fma.f64 500246412961/20155392 (pow.f64 x 3) (.f64 20511149/46656 (.f64 x x))) (fma.f64 x 841/108 4/29))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(*.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)
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(pow.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3) 1/3)
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) -1)
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(sqrt.f64 (/.f64 500246412961/136048896 (pow.f64 (fma.f64 x -841/108 4/29) 2)))
(log.f64 (exp.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(cbrt.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(expm1.f64 (log1p.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(exp.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(exp.f64 (*.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 1))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(log1p.f64 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))

eval483.0ms (12.9%)

Compiler: Compiled 21436 to 16047 computations (25.1% saved)

prune341.0ms (9.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	897	1	898
Fresh	2	1	3
Picked	1	0	1
Done	1	3	4
Total	901	5	906

Error

Counts

906 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.1b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
▶	34.8b	(/.f64 1 (/.f64 108/841 x))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	34.7b	(*.f64 841/108 x)
	28.6b	4/29

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 108/841 x))
✓	0.3b	(/.f64 108/841 x)

Compiler

Compiled 12 to 9 computations (25% saved)

series37.0ms (1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	x	@	-inf	(/.f64 108/841 x)
0.0ms	x	@	0	(/.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))

rewrite56.0ms (1.5%)

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	1729	14

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

((#(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 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)) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (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 (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 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 log1p.f64 (expm1.f64 (*.f64 x 841/108)))))))

simplify49.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1500×	`distribute-lft-in`
1488×	`distribute-rgt-in`
800×	`*-commutative`
748×	`unswap-sqr`
518×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	706
1	225	592
2	993	472
3	4138	472

Stop Event

1×	node limit

Counts

58 → 55

Calls

Call 1

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

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

eval11.0ms (0.3%)

Compiler: Compiled 410 to 327 computations (20.2% saved)

prune7.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	55	5	60

Error

Counts

60 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.1b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
✓	34.8b	(/.f64 1 (/.f64 108/841 x))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	34.7b	(*.f64 841/108 x)
	28.6b	4/29

Compiler

Compiled 32 to 26 computations (18.8% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.1b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
✓	34.8b	(/.f64 1 (/.f64 108/841 x))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	34.7b	(*.f64 841/108 x)
	28.6b	4/29

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes21.0ms (0.6%)

Counts

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))`
0.1b	1	`(*.f64 (/.f64 841 108) x)`

Compiler

Compiled 120 to 96 computations (20% saved)

regimes58.0ms (1.5%)

Counts

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

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

Calls

3 calls:

46.0ms	(*.f64 (/.f64 841 108) x)
6.0ms	x
4.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))`
0.1b	1	`(*.f64 (/.f64 841 108) x)`

Compiler

Compiled 89 to 70 computations (21.3% saved)

regimes9.0ms (0.2%)

Accuracy

Total -60.0b remaining (-3589.7%)

Threshold costs -60.0b (-3589.7%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch30.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.001912968541525617	28.95225927743639
17.0ms	-27100692.12593363	-7.37317128684307e-5

Results

26.0ms

288×

body

256

valid

Compiler

Compiled 158 to 138 computations (12.7% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	25	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(if (<=.f64 x -5188146770730811/288230376151711744) (.f64 841/108 x) (if (<=.f64 x 1261007895663739/72057594037927936) 4/29 (.f64 841/108 x)))
4/29

Outputs
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -5188146770730811/288230376151711744) (.f64 841/108 x) (if (<=.f64 x 1261007895663739/72057594037927936) 4/29 (.f64 841/108 x)))
4/29

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness14.0ms (0.4%)

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)

end26.0ms (0.7%)

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

Details

analyze3.0ms (0.1%)

sample1.0s (27.6%)

preprocess5.0ms (0.1%)

simplify14.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.3%)

series1.0ms (0%)

rewrite101.0ms (2.7%)

simplify149.0ms (4%)

localize3.0ms (0.1%)

series1.0ms (0%)

rewrite51.0ms (1.4%)

simplify58.0ms (1.5%)

eval145.0ms (3.9%)

prune31.0ms (0.8%)

localize22.0ms (0.6%)

series0.0ms (0%)

rewrite59.0ms (1.6%)

simplify58.0ms (1.6%)

localize3.0ms (0.1%)

localize17.0ms (0.4%)

series2.0ms (0.1%)

rewrite83.0ms (2.2%)

simplify140.0ms (3.7%)

localize35.0ms (0.9%)

series1.0ms (0%)

rewrite97.0ms (2.6%)

simplify160.0ms (4.3%)

localize56.0ms (1.5%)

series2.0ms (0.1%)

rewrite121.0ms (3.2%)

simplify123.0ms (3.3%)

eval483.0ms (12.9%)

prune341.0ms (9.1%)

localize5.0ms (0.1%)

series37.0ms (1%)

rewrite56.0ms (1.5%)

simplify49.0ms (1.3%)

eval11.0ms (0.3%)

prune7.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes21.0ms (0.6%)

regimes58.0ms (1.5%)

regimes9.0ms (0.2%)

bsearch30.0ms (0.8%)

simplify9.0ms (0.2%)

soundness14.0ms (0.4%)

end26.0ms (0.7%)

Profiling