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)

sample1.1s (19.4%)

Results

1.1s	8253×	body	256	valid
0.0ms	6×	body	256	infinite
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify36.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

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 (0.2%)

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))

rewrite82.0ms (1.5%)

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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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)))))

simplify117.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

152 → 194

Calls

Call 1

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

Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1)
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(*.f64 841/108 x)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (exp.f64 (log1p.f64 (.f64 841/108 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1))
(/.f64 (.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1) (.f64 841/108 x)) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 841/108 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (exp.f64 (log1p.f64 (.f64 841/108 x)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 841/108 x)) (log1p.f64 (.f64 841/108 x)))) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 3)) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (.f64 841/108 x)))))))
(/.f64 (+.f64 -1 (exp.f64 (.f64 3 (log1p.f64 (.f64 841/108 x))))) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (*.f64 841/108 x)))))))
(pow.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(*.f64 841/108 x)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(sqrt.f64 (.f64 (.f64 707281/11664 x) x))
(sqrt.f64 (.f64 x (.f64 x 707281/11664)))
(fabs.f64 (*.f64 841/108 x))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29)
(fma.f64 841/108 x 4/29)
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(/.f64 (neg.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (neg.f64 (-.f64 4/29 (*.f64 841/108 x))))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 707281/11664 (.f64 x x))) 16/841)) (neg.f64 (neg.f64 (fma.f64 841/108 x -4/29))))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 -64/24389 (neg.f64 (.f64 594823321/1259712 (pow.f64 x 3))))) (neg.f64 (neg.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (.f64 841/108 (.f64 x (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(fma.f64 841/108 x 4/29)
(neg.f64 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (neg.f64 (fma.f64 841/108 x -4/29))))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(neg.f64 (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (neg.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (.f64 841/108 (.f64 x (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(fabs.f64 (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (.f64 841/108 x)) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (cbrt.f64 (.f64 841/108 x)) 4/29)
(fma.f64 841/108 x 4/29)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(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
1.0ms	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)

rewrite53.0ms (0.9%)

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)))))))

simplify61.0ms (1.1%)

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)

eval124.0ms (2.2%)

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

prune35.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Error

0.0b

Counts

227 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	15.1b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
	15.7b	(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
▶	0.2b	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
▶	32.9b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
	0.6b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
▶	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	15.1b	(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
	7.1b	(.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)))))
▶	32.1b	(*.f64 841/108 x)
	30.4b	4/29

Compiler

Compiled 212 to 178 computations (16% saved)

localize18.0ms (0.3%)

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

rewrite84.0ms (1.5%)

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%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 57

Calls

Call 1

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

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

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))
	0.2b	(*.f64 841/108 x)
✓	0.2b	(.f64 -707281/11664 (.f64 x x))
✓	14.1b	(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))

Compiler

Compiled 52 to 36 computations (30.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite124.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

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

Outputs

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

simplify126.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1114×	`associate-/l*`
858×	`associate-r`
798×	`associate-l`
676×	`associate-/l/`
652×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	630	14236
1	1825	13426

Stop Event

1×	node limit

Counts

252 → 379

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

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

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 841/108 x 4/29)
✓	0.2b	(/.f64 1 (fma.f64 841/108 x 4/29))
✓	0.2b	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))

Compiler

Compiled 23 to 19 computations (17.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite66.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

74 → 80

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
✓	0.1b	(sqrt.f64 (*.f64 841/108 x))
	0.2b	(*.f64 841/108 x)
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)

Compiler

Compiled 32 to 27 computations (15.6% saved)

series4.0ms (0.1%)

Counts

3 → 1

Calls

9 calls:

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

rewrite90.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 841/108 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 841/108 x) 1/4) (*.f64 (sqrt.f64 (*.f64 841/108 x)) (pow.f64 (*.f64 841/108 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 841/108) (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 841/108 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (*.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (*.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (pow.f64 (*.f64 841/108 x) 1/4)) (pow.f64 (*.f64 841/108 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 x)) (sqrt.f64 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x)))) (cbrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 841/108 x)) (sqrt.f64 (cbrt.f64 (*.f64 841/108 x)))) (*.f64 (cbrt.f64 (*.f64 841/108 x)) (sqrt.f64 (cbrt.f64 (*.f64 841/108 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3/2) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) 707281/11664) 1/4) (pow.f64 (*.f64 (*.f64 x x) 707281/11664) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/6) (pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29)))))

simplify112.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

186 → 267

Calls

Call 1

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

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

eval499.0ms (8.8%)

Compiler: Compiled 18310 to 14344 computations (21.7% saved)

prune261.0ms (4.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	853	3	856
Fresh	4	1	5
Picked	1	0	1
Done	2	2	4
Total	860	6	866

Error

Counts

866 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.1b	(/.f64 1 (/.f64 108/841 x))
▶	32.4b	(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	47.3b	(.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))
✓	32.1b	(*.f64 841/108 x)
	30.4b	4/29

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))
	0.2b	(.f64 -707281/11664 (.f64 x x))
✓	0.3b	(/.f64 -108/841 x)
✓	14.4b	(.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))

Compiler

Compiled 34 to 20 computations (41.2% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite180.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 270

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)) (/.f64 -1728/707281 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1728/707281 x) (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 -1728/707281 x)) (*.f64 1 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x))) (*.f64 1 (/.f64 -1728/707281 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1728/707281 x) 1) (*.f64 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)) 1) (*.f64 (/.f64 -1728/707281 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 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simplify176.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	660	14460
1	1811	13546

Stop Event

1×	node limit

Counts

294 → 439

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
✓	0.3b	(/.f64 108/841 x)
✓	0.6b	(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
✓	0.7b	(/.f64 46656/20511149 (*.f64 x x))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series2.0ms (0%)

Counts

4 → 36

Calls

12 calls:

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

rewrite150.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`*-commutative`
682×	`associate-/l*`
632×	`associate-/r/`
492×	`distribute-lft-in`
488×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	76
1	253	64
2	3500	64

Stop Event

1×	node limit

Counts

4 → 315

Calls

Call 1

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

Outputs
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-46656/20511149))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 108/841 (/.f64 1 x) (.f64 (pow.f64 x -2) -46656/20511149))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)) (.f64 (pow.f64 x -2) -46656/20511149))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)) (.f64 (pow.f64 x -2) -46656/20511149))))))

simplify162.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1594×	`associate-r`
1108×	`associate-l`
962×	`*-commutative`
896×	`associate-/r*`
782×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	765	17157
1	2187	16247

Stop Event

1×	node limit

Counts

351 → 533

Calls

Call 1

Inputs
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(*.f64 -20511149/46656 (pow.f64 x 2))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(/.f64 -46656/20511149 (pow.f64 x 2))
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 108/841 (/.f64 1 x)) (.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 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 108/841 (/.f64 1 x)) (.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 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 46656/20511149 (pow.f64 x -2)))) 1)
(*.f64 46656/20511149 (pow.f64 x -2))
(*.f64 46656/20511149 (neg.f64 (neg.f64 (pow.f64 x -2))))
(.f64 (.f64 46656/20511149 (pow.f64 x -2)) 1)
(.f64 1 (.f64 46656/20511149 (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 46656/20511149) x) (/.f64 (sqrt.f64 46656/20511149) x))
(*.f64 (/.f64 (sqrt.f64 46656/20511149) x) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x))))
(.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2))))
(.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (neg.f64 (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2))))))
(*.f64 (/.f64 46656/20511149 x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (/.f64 46656/20511149 x))
(*.f64 (pow.f64 x -2) 46656/20511149)
(*.f64 -46656/20511149 (neg.f64 (pow.f64 x -2)))
(.f64 -1 (.f64 (pow.f64 x -2) -46656/20511149))
(.f64 (sqrt.f64 (.f64 (pow.f64 x -2) -46656/20511149)) (neg.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149))))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x -2) -46656/20511149)) (cbrt.f64 (.f64 (pow.f64 x -2) -46656/20511149))) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 46656/20511149 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x)) (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x)))
(.f64 (neg.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2)))))
(*.f64 (neg.f64 (pow.f64 x -2)) -46656/20511149)
(.f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 x -2) -46656/20511149))) (sqrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x -2) -46656/20511149)) (cbrt.f64 (.f64 (pow.f64 x -2) -46656/20511149)))) (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)))
(*.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x))) (/.f64 (sqrt.f64 46656/20511149) x))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))) (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2))))
(pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 46656/20511149) x) 2)
(pow.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))) 3)
(pow.f64 (.f64 (.f64 x x) 20511149/46656) -1)
(pow.f64 (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3) 1/3)
(neg.f64 (*.f64 (pow.f64 x -2) -46656/20511149))
(neg.f64 (/.f64 (/.f64 46656/20511149 x) (neg.f64 x)))
(sqrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 46656/20511149) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 46656/20511149 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 46656/20511149 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 46656/20511149 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 46656/20511149 (pow.f64 x -2))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4)))) (.f64 46656/20511149 (pow.f64 x -2))) (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4)))) (/.f64 108/841 x)))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4)))) (/.f64 108/841 x)) (.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4)))) (*.f64 46656/20511149 (pow.f64 x -2))))
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(pow.f64 (pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) x))
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))) (+.f64 (*.f64 (pow.f64 x -2) -46656/20511149) (/.f64 -108/841 x))))
(neg.f64 (/.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3)) (neg.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))))))
(neg.f64 (/.f64 (.f64 x (-.f64 (.f64 x 108/841) 46656/20511149)) (neg.f64 (pow.f64 x 3))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(fma.f64 1 (/.f64 108/841 x) (*.f64 (pow.f64 x -2) -46656/20511149))
(fma.f64 108/841 (/.f64 1 x) (*.f64 (pow.f64 x -2) -46656/20511149))
(fma.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)) (*.f64 (pow.f64 x -2) -46656/20511149))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)) (*.f64 (pow.f64 x -2) -46656/20511149))

Outputs
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(*.f64 -20511149/46656 (pow.f64 x 2))
(.f64 -20511149/46656 (.f64 x x))
(.f64 x (.f64 x -20511149/46656))
(+.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)))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -297558232675799463481/3761479876608 (pow.f64 x 5) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(/.f64 -46656/20511149 (pow.f64 x 2))
(/.f64 -46656/20511149 (*.f64 x 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 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 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 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 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 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 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 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 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 (exp.f64 (log1p.f64 (*.f64 46656/20511149 (pow.f64 x -2)))) 1)
(*.f64 46656/20511149 (pow.f64 x -2))
(*.f64 46656/20511149 (pow.f64 x -2))
(*.f64 46656/20511149 (neg.f64 (neg.f64 (pow.f64 x -2))))
(*.f64 46656/20511149 (pow.f64 x -2))
(.f64 (.f64 46656/20511149 (pow.f64 x -2)) 1)
(*.f64 46656/20511149 (pow.f64 x -2))
(.f64 1 (.f64 46656/20511149 (pow.f64 x -2)))
(*.f64 46656/20511149 (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 46656/20511149) x) (/.f64 (sqrt.f64 46656/20511149) x))
(pow.f64 (/.f64 (sqrt.f64 46656/20511149) x) 2)
(*.f64 (/.f64 (sqrt.f64 46656/20511149) x) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x))))
(pow.f64 (/.f64 (sqrt.f64 46656/20511149) x) 2)
(.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (neg.f64 (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2))))))
(.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))
(*.f64 (/.f64 46656/20511149 x) (/.f64 1 x))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(*.f64 (/.f64 1 x) (/.f64 46656/20511149 x))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(*.f64 (pow.f64 x -2) 46656/20511149)
(*.f64 46656/20511149 (pow.f64 x -2))
(*.f64 -46656/20511149 (neg.f64 (pow.f64 x -2)))
(*.f64 46656/20511149 (pow.f64 x -2))
(.f64 -1 (.f64 (pow.f64 x -2) -46656/20511149))
(*.f64 46656/20511149 (pow.f64 x -2))
(.f64 (sqrt.f64 (.f64 (pow.f64 x -2) -46656/20511149)) (neg.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149))))
(.f64 (sqrt.f64 (.f64 -46656/20511149 (pow.f64 x -2))) (neg.f64 (sqrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2)))))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x -2) -46656/20511149)) (cbrt.f64 (.f64 (pow.f64 x -2) -46656/20511149))) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149))))
(.f64 (cbrt.f64 (.f64 -46656/20511149 (pow.f64 x -2))) (.f64 (cbrt.f64 (.f64 -46656/20511149 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2))))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 46656/20511149 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 46656/20511149 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x)) (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x)))
(pow.f64 (/.f64 (sqrt.f64 46656/20511149) x) 2)
(.f64 (neg.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2)))))
(.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))
(*.f64 (neg.f64 (pow.f64 x -2)) -46656/20511149)
(*.f64 46656/20511149 (pow.f64 x -2))
(.f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 x -2) -46656/20511149))) (sqrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)))
(.f64 (sqrt.f64 (.f64 -46656/20511149 (pow.f64 x -2))) (neg.f64 (sqrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x -2) -46656/20511149)) (cbrt.f64 (.f64 (pow.f64 x -2) -46656/20511149)))) (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)))
(.f64 (cbrt.f64 (.f64 -46656/20511149 (pow.f64 x -2))) (.f64 (cbrt.f64 (.f64 -46656/20511149 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2))))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x))) (/.f64 (sqrt.f64 46656/20511149) x))
(pow.f64 (/.f64 (sqrt.f64 46656/20511149) x) 2)
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))) (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))
(pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 1)
(*.f64 46656/20511149 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 46656/20511149) x) 2)
(pow.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))) 3)
(*.f64 46656/20511149 (pow.f64 x -2))
(pow.f64 (.f64 (.f64 x x) 20511149/46656) -1)
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(pow.f64 (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3) 1/3)
(*.f64 46656/20511149 (pow.f64 x -2))
(neg.f64 (*.f64 (pow.f64 x -2) -46656/20511149))
(*.f64 46656/20511149 (pow.f64 x -2))
(neg.f64 (/.f64 (/.f64 46656/20511149 x) (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 46656/20511149 x)) (neg.f64 x))
(/.f64 -46656/20511149 (*.f64 x (neg.f64 x)))
(sqrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 46656/20511149) (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (log.f64 (exp.f64 46656/20511149)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 46656/20511149 (pow.f64 x -2)))))
(*.f64 46656/20511149 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3))
(*.f64 46656/20511149 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 46656/20511149 (pow.f64 x -2))))
(*.f64 46656/20511149 (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 46656/20511149 (pow.f64 x -2))))
(*.f64 46656/20511149 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 46656/20511149 (pow.f64 x -2))))
(*.f64 46656/20511149 (pow.f64 x -2))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4)))) (.f64 46656/20511149 (pow.f64 x -2))) (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4)))) (/.f64 108/841 x)))
(/.f64 (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4)))) (/.f64 108/841 x)) (.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4)))) (*.f64 46656/20511149 (pow.f64 x -2))))
(/.f64 (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))))
(+.f64 (.f64 (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (.f64 46656/20511149 (pow.f64 x -2)) 3))) (pow.f64 (/.f64 108/841 x) 2)) (.f64 (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (.f64 46656/20511149 (pow.f64 x -2)) 3))) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))) (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (*.f64 101559956668416/8629188747598184440949 (pow.f64 (pow.f64 x -2) 3))))
(/.f64 (-.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (-.f64 (/.f64 -5038848/17249876309 (pow.f64 x 3)) (pow.f64 (/.f64 108/841 x) 2))) (+.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (*.f64 (pow.f64 (pow.f64 x -2) 3) -101559956668416/8629188747598184440949)))
(+.f64 (.f64 (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (.f64 46656/20511149 (pow.f64 x -2)) 3))) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))) (.f64 (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (.f64 46656/20511149 (pow.f64 x -2)) 3))) (pow.f64 (/.f64 108/841 x) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))) (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (*.f64 101559956668416/8629188747598184440949 (pow.f64 (pow.f64 x -2) 3))))
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(/.f64 (.f64 x (+.f64 (neg.f64 x) 432/24389)) (.f64 841/108 (neg.f64 (pow.f64 x 3))))
(/.f64 (+.f64 (.f64 x (neg.f64 x)) (.f64 (.f64 x -841/108) -46656/20511149)) (.f64 1 (.f64 (.f64 x 841/108) (*.f64 x (neg.f64 x)))))
(/.f64 (fma.f64 x (neg.f64 x) (.f64 x 432/24389)) (.f64 (.f64 x 841/108) (.f64 x (neg.f64 x))))
(/.f64 (.f64 x (+.f64 (neg.f64 x) 432/24389)) (.f64 841/108 (neg.f64 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 108/841 (.f64 (.f64 x x) 20511149/46656)) x) (.f64 x (.f64 (.f64 x x) 20511149/46656)))
(/.f64 (-.f64 (.f64 (.f64 108/841 (.f64 x x)) 20511149/46656) x) (.f64 (pow.f64 x 3) 20511149/46656))
(/.f64 (-.f64 (.f64 (.f64 x x) 24389/432) x) (*.f64 (pow.f64 x 3) 20511149/46656))
(/.f64 (-.f64 (.f64 108/841 (.f64 (.f64 x x) 20511149/46656)) x) (.f64 1 (.f64 x (.f64 (*.f64 x x) 20511149/46656))))
(/.f64 (-.f64 (.f64 (.f64 108/841 (.f64 x x)) 20511149/46656) x) (.f64 (pow.f64 x 3) 20511149/46656))
(/.f64 (-.f64 (.f64 (.f64 x x) 24389/432) x) (*.f64 (pow.f64 x 3) 20511149/46656))
(/.f64 (-.f64 (.f64 x 108/841) (.f64 x (/.f64 46656/20511149 x))) (*.f64 x x))
(/.f64 (.f64 x (-.f64 108/841 (/.f64 46656/20511149 x))) (.f64 x x))
(/.f64 (/.f64 x (/.f64 x (-.f64 108/841 (/.f64 46656/20511149 x)))) x)
(/.f64 (+.f64 (.f64 (.f64 x x) -108/841) (*.f64 46656/20511149 x)) (neg.f64 (pow.f64 x 3)))
(/.f64 (fma.f64 (.f64 x x) -108/841 (.f64 46656/20511149 x)) (neg.f64 (pow.f64 x 3)))
(/.f64 (.f64 x (+.f64 46656/20511149 (.f64 x -108/841))) (neg.f64 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x x) 20511149/46656) -108/841) x) (.f64 (.f64 (.f64 x x) 20511149/46656) (neg.f64 x)))
(/.f64 (+.f64 x (.f64 (.f64 x x) -24389/432)) (neg.f64 (*.f64 (pow.f64 x 3) 20511149/46656)))
(/.f64 (+.f64 x (.f64 x (.f64 x -24389/432))) (*.f64 (pow.f64 x 3) -20511149/46656))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x x) 20511149/46656) -108/841) x) (.f64 1 (.f64 (.f64 (*.f64 x x) 20511149/46656) (neg.f64 x))))
(/.f64 (+.f64 x (.f64 (.f64 x x) -24389/432)) (neg.f64 (*.f64 (pow.f64 x 3) 20511149/46656)))
(/.f64 (+.f64 x (.f64 x (.f64 x -24389/432))) (*.f64 (pow.f64 x 3) -20511149/46656))
(/.f64 (+.f64 (.f64 x -108/841) (.f64 x (/.f64 46656/20511149 x))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 x (+.f64 -108/841 (/.f64 46656/20511149 x))) (.f64 x (neg.f64 x)))
(/.f64 x (/.f64 (*.f64 x (neg.f64 x)) (+.f64 (/.f64 46656/20511149 x) -108/841)))
(/.f64 (+.f64 (.f64 -108/841 (.f64 x (neg.f64 x))) (*.f64 x -46656/20511149)) (neg.f64 (neg.f64 (pow.f64 x 3))))
(/.f64 (fma.f64 -108/841 (.f64 x (neg.f64 x)) (.f64 x -46656/20511149)) (pow.f64 x 3))
(/.f64 (+.f64 (.f64 -108/841 (.f64 x (neg.f64 x))) (.f64 x -46656/20511149)) (.f64 1 (neg.f64 (neg.f64 (pow.f64 x 3)))))
(/.f64 (fma.f64 -108/841 (.f64 x (neg.f64 x)) (.f64 x -46656/20511149)) (pow.f64 x 3))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))))) (+.f64 (*.f64 46656/20511149 (pow.f64 x -2)) (/.f64 108/841 x)))
(*.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))) (/.f64 1 (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))) (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3)))) (+.f64 (pow.f64 (/.f64 108/841 x) 2) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))))
(/.f64 (.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (.f64 101559956668416/8629188747598184440949 (pow.f64 (pow.f64 x -2) 3))) 1) (+.f64 (pow.f64 (/.f64 108/841 x) 2) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))))
(/.f64 (+.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (*.f64 (pow.f64 (pow.f64 x -2) 3) -101559956668416/8629188747598184440949)) (-.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (-.f64 (/.f64 -5038848/17249876309 (pow.f64 x 3)) (pow.f64 (/.f64 108/841 x) 2))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (-.f64 (.f64 x 108/841) 46656/20511149)))) (pow.f64 x 3))
(/.f64 (.f64 (.f64 x (fma.f64 x 108/841 -46656/20511149)) 1) (pow.f64 x 3))
(*.f64 (/.f64 x (pow.f64 x 3)) (fma.f64 x 108/841 -46656/20511149))
(pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 1)
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)) 2)
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)) 3)
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 3) 1/3)
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(neg.f64 (/.f64 (neg.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) x))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))) (+.f64 (*.f64 (pow.f64 x -2) -46656/20511149) (/.f64 -108/841 x))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 108/841 x) 2)) (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (fma.f64 (pow.f64 x -2) -46656/20511149 (/.f64 -108/841 x)))
(/.f64 (-.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (pow.f64 (/.f64 108/841 x) 2)) (fma.f64 (pow.f64 x -2) -46656/20511149 (/.f64 -108/841 x)))
(neg.f64 (/.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3)) (neg.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))))))
(/.f64 (.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (.f64 101559956668416/8629188747598184440949 (pow.f64 (pow.f64 x -2) 3))) 1) (+.f64 (pow.f64 (/.f64 108/841 x) 2) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))))
(/.f64 (+.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (*.f64 (pow.f64 (pow.f64 x -2) 3) -101559956668416/8629188747598184440949)) (-.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (-.f64 (/.f64 -5038848/17249876309 (pow.f64 x 3)) (pow.f64 (/.f64 108/841 x) 2))))
(neg.f64 (/.f64 (.f64 x (-.f64 (.f64 x 108/841) 46656/20511149)) (neg.f64 (pow.f64 x 3))))
(/.f64 (.f64 (.f64 x (fma.f64 x 108/841 -46656/20511149)) 1) (pow.f64 x 3))
(*.f64 (/.f64 x (pow.f64 x 3)) (fma.f64 x 108/841 -46656/20511149))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x))))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 3))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(exp.f64 (log.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(fma.f64 1 (/.f64 108/841 x) (*.f64 (pow.f64 x -2) -46656/20511149))
(fma.f64 (pow.f64 x -2) -46656/20511149 (/.f64 108/841 x))
(fma.f64 108/841 (/.f64 1 x) (*.f64 (pow.f64 x -2) -46656/20511149))
(fma.f64 (pow.f64 x -2) -46656/20511149 (/.f64 108/841 x))
(fma.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)) (*.f64 (pow.f64 x -2) -46656/20511149))
(fma.f64 (pow.f64 x -2) -46656/20511149 (/.f64 108/841 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)) (*.f64 (pow.f64 x -2) -46656/20511149))
(fma.f64 (pow.f64 x -2) -46656/20511149 (/.f64 108/841 x))

localize7.0ms (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)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1386×	`associate-r`
1334×	`associate-/l*`
1292×	`associate-*r/`
1168×	`associate-l`
942×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	314
1	159	314
2	586	308
3	3781	308

Stop Event

1×	node limit

Counts

38 → 30

Calls

Call 1

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

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

eval506.0ms (9%)

Compiler: Compiled 24623 to 18564 computations (24.6% saved)

prune214.0ms (3.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1045	2	1047
Fresh	0	1	1
Picked	0	1	1
Done	2	2	4
Total	1047	6	1053

Error

Counts

1053 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.3b	(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)
▶	32.4b	(/.f64 1 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x))
✓	32.1b	(/.f64 1 (/.f64 108/841 x))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	32.1b	(*.f64 841/108 x)
	30.4b	4/29

Compiler

Compiled 38 to 30 computations (21.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 108/841 (/.f64 -46656/20511149 x))
✓	0.2b	(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
✓	0.6b	(/.f64 1 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x))
✓	0.6b	(/.f64 -46656/20511149 x)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series2.0ms (0%)

Counts

4 → 36

Calls

12 calls:

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

rewrite108.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`associate-/r*`
962×	`*-commutative`
882×	`associate-/l*`
560×	`swap-sqr`
514×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	64
1	224	58
2	2888	58

Stop Event

1×	node limit

Counts

4 → 254

Calls

Call 1

Inputs
(/.f64 -46656/20511149 x)
(/.f64 1 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(+.f64 108/841 (/.f64 -46656/20511149 x))

Outputs
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2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 949/841 (/.f64 -46656/20511149 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -46656/20511149 (/.f64 1 x) 108/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -46656/20511149 x) 108/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x)) 108/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)) 108/841)))))

simplify151.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

932×	`associate-r`
872×	`associate-l`
674×	`associate-/r*`
664×	`associate-*r/`
652×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	594	9102
1	1629	8330
2	7837	8330

Stop Event

1×	node limit

Counts

290 → 361

Calls

Call 1

Inputs
(*.f64 -20511149/46656 (pow.f64 x 2))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(/.f64 -46656/20511149 (pow.f64 x 2))
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 108/841 (/.f64 1 x)) (.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 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 108/841 (/.f64 1 x)) (.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 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(/.f64 -46656/20511149 x)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -46656/20511149 x))) 1)
(*.f64 -46656/20511149 (/.f64 1 x))
(*.f64 (/.f64 -46656/20511149 x) 1)
(*.f64 1 (/.f64 -46656/20511149 x))
(*.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x)))
(*.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)))
(*.f64 (/.f64 1 x) -46656/20511149)
(*.f64 46656/20511149 (/.f64 -1 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -46656/20511149 (sqrt.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 -46656/20511149 (cbrt.f64 x)))
(*.f64 (/.f64 -1 x) 46656/20511149)
(pow.f64 (/.f64 -46656/20511149 x) 1)
(pow.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 3)
(pow.f64 (*.f64 x -20511149/46656) -1)
(pow.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1/3)
(sqrt.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 -46656/20511149 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -46656/20511149 x))))
(cbrt.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 -46656/20511149 x)))
(exp.f64 (log.f64 (/.f64 -46656/20511149 x)))
(log1p.f64 (expm1.f64 (/.f64 -46656/20511149 x)))
(+.f64 (.f64 (/.f64 x (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (.f64 x x)))) 108/841) (.f64 (/.f64 x (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (.f64 x x)))) (/.f64 46656/20511149 x)))
(+.f64 (.f64 (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) 11664/707281) (.f64 (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x))))
(+.f64 (.f64 (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (/.f64 5038848/17249876309 x))) (*.f64 (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) 11664/707281))
(+.f64 (.f64 108/841 (/.f64 x (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (.f64 x x))))) (.f64 (/.f64 46656/20511149 x) (/.f64 x (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (.f64 x x))))))
(+.f64 (.f64 11664/707281 (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x)) (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))))
(+.f64 (.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (/.f64 5038848/17249876309 x)) (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (*.f64 11664/707281 (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)))) 1)
(*.f64 x (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(*.f64 1 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(*.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1)
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) (sqrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 2))
(.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 2) (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841)) x)
(*.f64 (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841)) (pow.f64 (/.f64 1 x) -1))
(.f64 (+.f64 108/841 (/.f64 46656/20511149 x)) (/.f64 x (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (.f64 x x)))))
(.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))) (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (/.f64 46656/20511149 x) -108/841)))
(*.f64 -1 (/.f64 x (+.f64 (/.f64 46656/20511149 x) -108/841)))
(.f64 (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841))) (sqrt.f64 x))
(.f64 (.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841))) (cbrt.f64 x))
(*.f64 (/.f64 x (+.f64 (/.f64 46656/20511149 x) -108/841)) -1)
(*.f64 (/.f64 x (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))) (/.f64 1 (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) x)) 2)) (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))) (/.f64 x (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)) (/.f64 x (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)))
(.f64 (/.f64 x (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (.f64 x x)))) (+.f64 108/841 (/.f64 46656/20511149 x)))
(.f64 (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(*.f64 (/.f64 1 (+.f64 (/.f64 46656/20511149 x) -108/841)) (neg.f64 x))
(.f64 (/.f64 1 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (.f64 x x)))) (*.f64 x (+.f64 108/841 (/.f64 46656/20511149 x))))
(.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (.f64 x (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 (/.f64 -46656/20511149 x) 108/841)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 (/.f64 -46656/20511149 x) 108/841)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(.f64 (/.f64 (cbrt.f64 x) (+.f64 (/.f64 -46656/20511149 x) 108/841)) (/.f64 (cbrt.f64 (.f64 x x)) 1))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))) (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)) (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (pow.f64 (/.f64 1 x) -1) (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) x)) 2) -1))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 1) (sqrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) x)) 2)) 1) (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) x)) 2)) (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))) (cbrt.f64 x))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (+.f64 (/.f64 -46656/20511149 x) 108/841)) (cbrt.f64 x))
(.f64 (/.f64 x (+.f64 -11664/707281 (neg.f64 (/.f64 -2176782336/420707233300201 (.f64 x x))))) (+.f64 -108/841 (neg.f64 (/.f64 46656/20511149 x))))
(.f64 (/.f64 x (+.f64 -1259712/594823321 (neg.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (neg.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(.f64 (/.f64 x (-.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) 11664/707281)) (-.f64 (/.f64 -46656/20511149 x) 108/841))
(.f64 (/.f64 1 (.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) (/.f64 1 x))) (+.f64 108/841 (/.f64 46656/20511149 x)))
(.f64 (/.f64 1 (.f64 (/.f64 1 x) (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))
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(.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (+.f64 1586874322944/353814783205469041 (pow.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (/.f64 5038848/17249876309 x)) 3))) (+.f64 136048896/500246412961 (.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (/.f64 5038848/17249876309 x)) (-.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x)) 11664/707281))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 46656/20511149 x) -108/841))) (sqrt.f64 (+.f64 (/.f64 46656/20511149 x) -108/841)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 46656/20511149 x) -108/841)) (cbrt.f64 (+.f64 (/.f64 46656/20511149 x) -108/841)))) (cbrt.f64 (+.f64 (/.f64 46656/20511149 x) -108/841)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))) (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2))) (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(/.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 1)
(/.f64 (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) (/.f64 1 (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(/.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) (+.f64 108/841 (/.f64 46656/20511149 x)))
(/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) (/.f64 1 (/.f64 1 (+.f64 108/841 (/.f64 46656/20511149 x)))))
(/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (/.f64 1 (/.f64 1 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))))
(/.f64 (sqrt.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (/.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))) (sqrt.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))))
(/.f64 (sqrt.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (.f64 x x)))) (/.f64 (+.f64 108/841 (/.f64 46656/20511149 x)) (sqrt.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (.f64 x x))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (/.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))) (cbrt.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (.f64 x x)))) (cbrt.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (.f64 x x))))) (/.f64 (+.f64 108/841 (/.f64 46656/20511149 x)) (cbrt.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (.f64 x x))))))
(/.f64 (+.f64 -11664/707281 (neg.f64 (/.f64 -2176782336/420707233300201 (*.f64 x x)))) (+.f64 -108/841 (neg.f64 (/.f64 46656/20511149 x))))
(/.f64 (+.f64 -1259712/594823321 (neg.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(/.f64 (-.f64 1586874322944/353814783205469041 (.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))) (-.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))))
(/.f64 (-.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) 11664/707281) (-.f64 (/.f64 -46656/20511149 x) 108/841))
(/.f64 (-.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) 11664/707281) (.f64 1 (-.f64 (/.f64 -46656/20511149 x) 108/841)))
(/.f64 (-.f64 136048896/500246412961 (.f64 (/.f64 -46656/20511149 x) (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (.f64 (+.f64 108/841 (/.f64 46656/20511149 x)) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) 11664/707281)))
(/.f64 (+.f64 1999004627104432128/210457284365172120330305161 (pow.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 3)) (.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))) (+.f64 1586874322944/353814783205469041 (*.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) (-.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321)))))
(/.f64 (-.f64 1586874322944/353814783205469041 (pow.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) 3)) (.f64 (+.f64 108/841 (/.f64 46656/20511149 x)) (+.f64 136048896/500246412961 (.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) 11664/707281)))))
(/.f64 (/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) 1) (+.f64 108/841 (/.f64 46656/20511149 x)))
(/.f64 (/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) (sqrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x)))) (sqrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))
(/.f64 (/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (.f64 x x))) (.f64 (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))) (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))) (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))
(/.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) 1) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (sqrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))) (sqrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(/.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))) (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))) (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(/.f64 (neg.f64 (+.f64 -11664/707281 (neg.f64 (/.f64 -2176782336/420707233300201 (*.f64 x x))))) (+.f64 108/841 (/.f64 46656/20511149 x)))
(/.f64 (neg.f64 (+.f64 -1259712/594823321 (neg.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 3) 1/3)
(neg.f64 (+.f64 (/.f64 46656/20511149 x) -108/841))
(neg.f64 (/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) (+.f64 -108/841 (neg.f64 (/.f64 46656/20511149 x)))))
(neg.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 3))
(expm1.f64 (log.f64 (+.f64 949/841 (/.f64 -46656/20511149 x))))
(exp.f64 (log.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(fma.f64 -46656/20511149 (/.f64 1 x) 108/841)
(fma.f64 1 (/.f64 -46656/20511149 x) 108/841)
(fma.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x)) 108/841)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)) 108/841)

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 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (.f64 -12200509765705829/8707129344 (pow.f64 x 4))))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -297558232675799463481/3761479876608 (pow.f64 x 5) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 x 841/108) 4/29)
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (fma.f64 x 841/108 (/.f64 1728/707281 x)))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 4/29 (+.f64 (fma.f64 x 841/108 (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 x 841/108) 4/29)
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (fma.f64 x 841/108 (/.f64 1728/707281 x)))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 4/29 (+.f64 (fma.f64 x 841/108 (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(/.f64 -46656/20511149 (pow.f64 x 2))
(/.f64 -46656/20511149 (*.f64 x 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 (/.f64 -46656/20511149 x)) 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 (/.f64 -46656/20511149 x)) 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 (/.f64 -46656/20511149 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 (/.f64 -46656/20511149 x)) 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 (/.f64 -46656/20511149 x)) 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 (/.f64 -46656/20511149 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 (/.f64 -46656/20511149 x)) 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 (/.f64 -46656/20511149 x)) 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 (/.f64 -46656/20511149 x)) x)
(/.f64 -46656/20511149 x)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 108/841 (/.f64 -46656/20511149 x))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 108/841 (/.f64 -46656/20511149 x))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -46656/20511149 x))) 1)
(/.f64 -46656/20511149 x)
(*.f64 -46656/20511149 (/.f64 1 x))
(/.f64 -46656/20511149 x)
(*.f64 (/.f64 -46656/20511149 x) 1)
(/.f64 -46656/20511149 x)
(*.f64 1 (/.f64 -46656/20511149 x))
(/.f64 -46656/20511149 x)
(*.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x)))
(/.f64 -46656/20511149 x)
(*.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2))
(/.f64 -46656/20511149 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)))
(/.f64 -46656/20511149 x)
(*.f64 (/.f64 1 x) -46656/20511149)
(/.f64 -46656/20511149 x)
(*.f64 46656/20511149 (/.f64 -1 x))
(/.f64 -46656/20511149 x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -46656/20511149 (sqrt.f64 x)))
(/.f64 (/.f64 -46656/20511149 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 -46656/20511149 (cbrt.f64 x)))
(/.f64 (.f64 1 (/.f64 -46656/20511149 (cbrt.f64 x))) (cbrt.f64 (.f64 x x)))
(/.f64 (/.f64 -46656/20511149 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
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(/.f64 (+.f64 -1259712/594823321 (neg.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(/.f64 (+.f64 -1259712/594823321 (/.f64 101559956668416/8629188747598184440949 (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(/.f64 (+.f64 -1259712/594823321 (/.f64 101559956668416/8629188747598184440949 (pow.f64 x 3))) (-.f64 (/.f64 -2176782336/420707233300201 (*.f64 x x)) (+.f64 11664/707281 (/.f64 5038848/17249876309 x))))
(/.f64 (-.f64 1586874322944/353814783205469041 (.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))) (-.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))))
(/.f64 (-.f64 1586874322944/353814783205469041 (.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))) (+.f64 1259712/594823321 (/.f64 101559956668416/8629188747598184440949 (pow.f64 x 3)))))
(/.f64 (-.f64 1586874322944/353814783205469041 (/.f64 (/.f64 10314424798490535546171949056/74462898441675122902293018227199467668020601 (pow.f64 x 3)) (pow.f64 x 3))) (.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (+.f64 11664/707281 (/.f64 5038848/17249876309 x))) (+.f64 1259712/594823321 (/.f64 101559956668416/8629188747598184440949 (pow.f64 x 3)))))
(/.f64 (-.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) 11664/707281) (-.f64 (/.f64 -46656/20511149 x) 108/841))
(/.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) -11664/707281) (+.f64 (/.f64 -46656/20511149 x) -108/841))
(/.f64 (-.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) 11664/707281) (.f64 1 (-.f64 (/.f64 -46656/20511149 x) 108/841)))
(/.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) -11664/707281) (+.f64 (/.f64 -46656/20511149 x) -108/841))
(/.f64 (-.f64 136048896/500246412961 (.f64 (/.f64 -46656/20511149 x) (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (.f64 (+.f64 108/841 (/.f64 46656/20511149 x)) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) 11664/707281)))
(/.f64 (-.f64 136048896/500246412961 (/.f64 (/.f64 4738381338321616896/176994576151109753197786640401 x) (pow.f64 x 3))) (.f64 (+.f64 108/841 (/.f64 46656/20511149 x)) (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) 11664/707281)))
(/.f64 (+.f64 1999004627104432128/210457284365172120330305161 (pow.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 3)) (.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))) (+.f64 1586874322944/353814783205469041 (*.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) (-.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321)))))
(/.f64 (+.f64 1999004627104432128/210457284365172120330305161 (pow.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 3)) (.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))) (+.f64 1586874322944/353814783205469041 (*.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) -1259712/594823321)))))
(/.f64 (/.f64 (+.f64 1999004627104432128/210457284365172120330305161 (/.f64 -1047532535594334222593508922191671036215296/642554405346449353654084490059204551183696882546282250934599990349 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 11664/707281 (/.f64 5038848/17249876309 x)))) (+.f64 1586874322944/353814783205469041 (/.f64 (+.f64 (/.f64 10314424798490535546171949056/74462898441675122902293018227199467668020601 (pow.f64 x 3)) 127936296134683656192/5132842708382182842735812571629) (pow.f64 x 3))))
(/.f64 (-.f64 1586874322944/353814783205469041 (pow.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) 3)) (.f64 (+.f64 108/841 (/.f64 46656/20511149 x)) (+.f64 136048896/500246412961 (.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) 11664/707281)))))
(/.f64 (+.f64 1586874322944/353814783205469041 (/.f64 -10314424798490535546171949056/74462898441675122902293018227199467668020601 (pow.f64 (.f64 x x) 3))) (.f64 (+.f64 108/841 (/.f64 46656/20511149 x)) (fma.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) 11664/707281) 136048896/500246412961)))
(/.f64 (/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) 1) (+.f64 108/841 (/.f64 46656/20511149 x)))
(-.f64 (/.f64 11664/707281 (+.f64 108/841 (/.f64 46656/20511149 x))) (/.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 108/841 (/.f64 46656/20511149 x))))
(/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) (+.f64 108/841 (/.f64 46656/20511149 x)))
(/.f64 (/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) (sqrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x)))) (sqrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))
(-.f64 (/.f64 11664/707281 (+.f64 108/841 (/.f64 46656/20511149 x))) (/.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 108/841 (/.f64 46656/20511149 x))))
(/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) (+.f64 108/841 (/.f64 46656/20511149 x)))
(/.f64 (/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (.f64 x x))) (.f64 (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))) (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))) (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))
(-.f64 (/.f64 11664/707281 (+.f64 108/841 (/.f64 46656/20511149 x))) (/.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 108/841 (/.f64 46656/20511149 x))))
(/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) (+.f64 108/841 (/.f64 46656/20511149 x)))
(/.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) 1) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 11664/707281 (/.f64 5038848/17249876309 x))))
(/.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (sqrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))) (sqrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(/.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 11664/707281 (/.f64 5038848/17249876309 x))))
(/.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))) (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))) (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(/.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 11664/707281 (/.f64 5038848/17249876309 x))))
(/.f64 (neg.f64 (+.f64 -11664/707281 (neg.f64 (/.f64 -2176782336/420707233300201 (*.f64 x x))))) (+.f64 108/841 (/.f64 46656/20511149 x)))
(-.f64 (/.f64 11664/707281 (+.f64 108/841 (/.f64 46656/20511149 x))) (/.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 108/841 (/.f64 46656/20511149 x))))
(/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) (+.f64 108/841 (/.f64 46656/20511149 x)))
(/.f64 (neg.f64 (+.f64 -1259712/594823321 (neg.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 11664/707281 (/.f64 5038848/17249876309 x))))
(pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 1)
(+.f64 108/841 (/.f64 -46656/20511149 x))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)
(+.f64 108/841 (/.f64 -46656/20511149 x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 3)
(+.f64 108/841 (/.f64 -46656/20511149 x))
(pow.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 3) 1/3)
(+.f64 108/841 (/.f64 -46656/20511149 x))
(neg.f64 (+.f64 (/.f64 46656/20511149 x) -108/841))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(neg.f64 (/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) (+.f64 -108/841 (neg.f64 (/.f64 46656/20511149 x)))))
(/.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) -11664/707281) (+.f64 (/.f64 -46656/20511149 x) -108/841))
(neg.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))))
(/.f64 (+.f64 -1259712/594823321 (/.f64 101559956668416/8629188747598184440949 (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(/.f64 (+.f64 -1259712/594823321 (/.f64 101559956668416/8629188747598184440949 (pow.f64 x 3))) (-.f64 (/.f64 -2176782336/420707233300201 (*.f64 x x)) (+.f64 11664/707281 (/.f64 5038848/17249876309 x))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 2))
(sqrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) 2))
(fabs.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))
(log.f64 (exp.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 3))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(expm1.f64 (log.f64 (+.f64 949/841 (/.f64 -46656/20511149 x))))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(exp.f64 (log.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(fma.f64 -46656/20511149 (/.f64 1 x) 108/841)
(+.f64 108/841 (/.f64 -46656/20511149 x))
(fma.f64 1 (/.f64 -46656/20511149 x) 108/841)
(+.f64 108/841 (/.f64 -46656/20511149 x))
(fma.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x)) 108/841)
(+.f64 108/841 (/.f64 -46656/20511149 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)) 108/841)
(+.f64 108/841 (/.f64 -46656/20511149 x))

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1728/707281 (.f64 (.f64 x x) 841/108))
✓	0.2b	(.f64 (.f64 x x) 841/108)
✓	14.2b	(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)

Compiler

Compiled 28 to 15 computations (46.4% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)
0.0ms	x	@	inf	(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)
0.0ms	x	@	inf	(.f64 (.f64 x x) 841/108)
0.0ms	x	@	-inf	(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)
0.0ms	x	@	0	(.f64 (.f64 x x) 841/108)

rewrite83.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`associate-*r/`
902×	`*-commutative`
776×	`associate-/r*`
738×	`associate-*l/`
628×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	200	49
2	2634	49

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

Inputs
(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)
(.f64 (.f64 x x) 841/108)
(+.f64 -1728/707281 (.f64 (.f64 x x) 841/108))

Outputs

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simplify109.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

994×	`distribute-lft-neg-in`
864×	`distribute-rgt-neg-in`
696×	`associate-r`
636×	`associate-l`
424×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	398	6842
1	1054	6360
2	5414	6144

Stop Event

1×	node limit

Counts

196 → 226

Calls

Call 1

Inputs
(/.f64 -1728/707281 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 (pow.f64 x 2))
(*.f64 841/108 (pow.f64 x 2))
(*.f64 841/108 (pow.f64 x 2))
(*.f64 841/108 (pow.f64 x 2))
(*.f64 841/108 (pow.f64 x 2))
(*.f64 841/108 (pow.f64 x 2))
(*.f64 841/108 (pow.f64 x 2))
(*.f64 841/108 (pow.f64 x 2))
(*.f64 841/108 (pow.f64 x 2))
(*.f64 841/108 (pow.f64 x 2))
(*.f64 841/108 (pow.f64 x 2))
(*.f64 841/108 (pow.f64 x 2))
-1728/707281
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(*.f64 841/108 (pow.f64 x 2))
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(*.f64 841/108 (pow.f64 x 2))
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(+.f64 (.f64 (/.f64 1 x) -1728/707281) (.f64 (/.f64 1 x) (.f64 x (.f64 x 841/108))))
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(/.f64 (+.f64 -2985984/500246412961 (neg.f64 (.f64 (pow.f64 x 4) -707281/11664))) (+.f64 1728/707281 (neg.f64 (.f64 (*.f64 x x) -841/108))))
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(/.f64 (-.f64 (.f64 (pow.f64 x 4) 707281/11664) 2985984/500246412961) (-.f64 (.f64 x (*.f64 x 841/108)) -1728/707281))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 707281/11664) 2985984/500246412961) (.f64 1 (-.f64 (.f64 x (.f64 x 841/108)) -1728/707281)))
(/.f64 (-.f64 26623333280885243904/125184900814733057351483732809459681 (.f64 353814783205469041/1586874322944 (.f64 (pow.f64 x 4) (.f64 (pow.f64 x 4) (pow.f64 x 4))))) (.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (.f64 x x) -16/841))) (-.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (*.f64 x 841/108)) 3))))
(/.f64 (-.f64 8916100448256/250246473680347348787521 (.f64 500246412961/136048896 (.f64 (pow.f64 x 4) (pow.f64 x 4)))) (.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) -841/108)) (+.f64 2985984/500246412961 (.f64 (pow.f64 x 4) 707281/11664))))
(/.f64 (+.f64 -137370551967459378662586974208/44292268542362921407825091617016319887724139383235921 (pow.f64 (pow.f64 (.f64 x (.f64 x 841/108)) 3) 3)) (.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (.f64 x x) -16/841))) (+.f64 26623333280885243904/125184900814733057351483732809459681 (.f64 (pow.f64 (.f64 x (.f64 x 841/108)) 3) (-.f64 (pow.f64 (.f64 x (*.f64 x 841/108)) 3) -5159780352/353814783205469041)))))
(/.f64 (-.f64 26623333280885243904/125184900814733057351483732809459681 (pow.f64 (.f64 (pow.f64 x 4) 707281/11664) 3)) (.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) -841/108)) (+.f64 8916100448256/250246473680347348787521 (.f64 (.f64 (pow.f64 x 4) 707281/11664) (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) 707281/11664))))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 x 4) 707281/11664) 2985984/500246412961)) (-.f64 (.f64 x (.f64 x 841/108)) -1728/707281))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x (.f64 x 841/108) -1728/707281)) (sqrt.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (*.f64 x x) -16/841)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x (.f64 x 841/108) -1728/707281)) (sqrt.f64 (+.f64 2985984/500246412961 (.f64 (pow.f64 x 4) -707281/11664)))) (sqrt.f64 (+.f64 -1728/707281 (.f64 (*.f64 x x) -841/108))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 841/108) -1728/707281)) 2) (cbrt.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (*.f64 x x) -16/841)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 841/108) -1728/707281)) 2) (cbrt.f64 (+.f64 2985984/500246412961 (.f64 (pow.f64 x 4) -707281/11664)))) (cbrt.f64 (+.f64 -1728/707281 (.f64 (*.f64 x x) -841/108))))
(/.f64 (.f64 (+.f64 -2985984/500246412961 (neg.f64 (.f64 (pow.f64 x 4) -707281/11664))) 1) (+.f64 1728/707281 (neg.f64 (.f64 (.f64 x x) -841/108))))
(/.f64 (.f64 (+.f64 5159780352/353814783205469041 (neg.f64 (pow.f64 (.f64 x (.f64 x 841/108)) 3))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (.f64 x x) -16/841)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) 707281/11664) 2985984/500246412961) 1) (-.f64 (.f64 x (.f64 x 841/108)) -1728/707281))
(/.f64 (.f64 (sqrt.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3))) (sqrt.f64 (fma.f64 x (.f64 x 841/108) -1728/707281))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (*.f64 x x) -16/841)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 2985984/500246412961 (.f64 (pow.f64 x 4) -707281/11664))) (sqrt.f64 (fma.f64 x (.f64 x 841/108) -1728/707281))) (sqrt.f64 (+.f64 -1728/707281 (.f64 (*.f64 x x) -841/108))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 841/108) -1728/707281)) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (*.f64 x x) -16/841)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 2985984/500246412961 (.f64 (pow.f64 x 4) -707281/11664))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 841/108) -1728/707281)) 2)) (cbrt.f64 (+.f64 -1728/707281 (.f64 (*.f64 x x) -841/108))))
(/.f64 (.f64 (-.f64 8916100448256/250246473680347348787521 (.f64 500246412961/136048896 (.f64 (pow.f64 x 4) (pow.f64 x 4)))) (/.f64 1 (+.f64 -1728/707281 (.f64 (.f64 x x) -841/108)))) (+.f64 2985984/500246412961 (.f64 (pow.f64 x 4) 707281/11664)))
(/.f64 (.f64 (-.f64 26623333280885243904/125184900814733057351483732809459681 (pow.f64 (.f64 (pow.f64 x 4) 707281/11664) 3)) (/.f64 1 (+.f64 -1728/707281 (.f64 (.f64 x x) -841/108)))) (+.f64 8916100448256/250246473680347348787521 (.f64 (.f64 (pow.f64 x 4) 707281/11664) (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) 707281/11664)))))
(/.f64 (.f64 (-.f64 26623333280885243904/125184900814733057351483732809459681 (.f64 353814783205469041/1586874322944 (.f64 (pow.f64 x 4) (.f64 (pow.f64 x 4) (pow.f64 x 4))))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (.f64 x x) -16/841))))) (-.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (*.f64 x 841/108)) 3)))
(/.f64 (.f64 (+.f64 -137370551967459378662586974208/44292268542362921407825091617016319887724139383235921 (pow.f64 (pow.f64 (.f64 x (.f64 x 841/108)) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (.f64 x x) -16/841))))) (+.f64 26623333280885243904/125184900814733057351483732809459681 (.f64 (pow.f64 (.f64 x (.f64 x 841/108)) 3) (-.f64 (pow.f64 (.f64 x (*.f64 x 841/108)) 3) -5159780352/353814783205469041))))
(/.f64 (/.f64 (+.f64 2985984/500246412961 (.f64 (pow.f64 x 4) -707281/11664)) 1) (+.f64 -1728/707281 (.f64 (*.f64 x x) -841/108)))
(/.f64 (/.f64 (+.f64 2985984/500246412961 (.f64 (pow.f64 x 4) -707281/11664)) (sqrt.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) -841/108)))) (sqrt.f64 (+.f64 -1728/707281 (.f64 (*.f64 x x) -841/108))))
(/.f64 (/.f64 (+.f64 2985984/500246412961 (.f64 (pow.f64 x 4) -707281/11664)) (.f64 (cbrt.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) -841/108))) (cbrt.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) -841/108))))) (cbrt.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) -841/108))))
(/.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3)) 1) (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (*.f64 x x) -16/841))))
(/.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (.f64 x x) -16/841))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (.f64 x x) -16/841)))))
(/.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (.f64 x x) -16/841)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (.f64 x x) -16/841)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (.f64 x x) -16/841)))))
(/.f64 (neg.f64 (+.f64 -2985984/500246412961 (neg.f64 (.f64 (pow.f64 x 4) -707281/11664)))) (+.f64 -1728/707281 (.f64 (*.f64 x x) -841/108)))
(/.f64 (neg.f64 (+.f64 5159780352/353814783205469041 (neg.f64 (pow.f64 (.f64 x (.f64 x 841/108)) 3)))) (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (*.f64 x x) -16/841))))
(pow.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) 3) 1/3)
(neg.f64 (+.f64 1728/707281 (.f64 (.f64 x x) -841/108)))
(neg.f64 (/.f64 (+.f64 2985984/500246412961 (.f64 (pow.f64 x 4) -707281/11664)) (+.f64 1728/707281 (neg.f64 (.f64 (*.f64 x x) -841/108)))))
(neg.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3)) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (*.f64 x x) -16/841))))))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)))
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(fma.f64 (*.f64 x x) 841/108 -1728/707281)
(fma.f64 841/108 (*.f64 x x) -1728/707281)
(fma.f64 1 (.f64 x (.f64 x 841/108)) -1728/707281)
(fma.f64 (.f64 x (sqrt.f64 841/108)) (.f64 x (sqrt.f64 841/108)) -1728/707281)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 707281/11664)) (cbrt.f64 (.f64 x (*.f64 x 841/108))) -1728/707281)

Outputs
(/.f64 -1728/707281 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
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(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 (pow.f64 x 2))
(.f64 x (.f64 x 841/108))
(*.f64 841/108 (pow.f64 x 2))
(.f64 x (.f64 x 841/108))
(*.f64 841/108 (pow.f64 x 2))
(.f64 x (.f64 x 841/108))
(*.f64 841/108 (pow.f64 x 2))
(.f64 x (.f64 x 841/108))
(*.f64 841/108 (pow.f64 x 2))
(.f64 x (.f64 x 841/108))
(*.f64 841/108 (pow.f64 x 2))
(.f64 x (.f64 x 841/108))
(*.f64 841/108 (pow.f64 x 2))
(.f64 x (.f64 x 841/108))
(*.f64 841/108 (pow.f64 x 2))
(.f64 x (.f64 x 841/108))
(*.f64 841/108 (pow.f64 x 2))
(.f64 x (.f64 x 841/108))
(*.f64 841/108 (pow.f64 x 2))
(.f64 x (.f64 x 841/108))
(*.f64 841/108 (pow.f64 x 2))
(.f64 x (.f64 x 841/108))
(*.f64 841/108 (pow.f64 x 2))
(.f64 x (.f64 x 841/108))
-1728/707281
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(*.f64 841/108 (pow.f64 x 2))
(.f64 x (.f64 x 841/108))
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(*.f64 841/108 (pow.f64 x 2))
(.f64 x (.f64 x 841/108))
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(+.f64 (.f64 (/.f64 1 x) -1728/707281) (.f64 (/.f64 1 x) (.f64 x (.f64 x 841/108))))
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(+.f64 (.f64 (/.f64 1 x) (.f64 x (.f64 x 841/108))) (.f64 (/.f64 1 x) -1728/707281))
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
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(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
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(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x))) 1)
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(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(.f64 (fma.f64 x (.f64 x 841/108) -1728/707281) (/.f64 1 x))
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(.f64 (/.f64 (fma.f64 x (.f64 x 841/108) -1728/707281) x) 1)
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(.f64 1 (/.f64 (fma.f64 x (.f64 x 841/108) -1728/707281) x))
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(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 841/108) -1728/707281)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) x))
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(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 841/108) -1728/707281) x)) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x)))
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 841/108) -1728/707281)) 2) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) x))
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 841/108) -1728/707281) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x)) 2))
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
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(/.f64 (+.f64 -137370551967459378662586974208/44292268542362921407825091617016319887724139383235921 (pow.f64 (.f64 594823321/1259712 (pow.f64 (.f64 x x) 3)) 3)) (.f64 (+.f64 2985984/500246412961 (fma.f64 (pow.f64 x 4) 707281/11664 (.f64 x (.f64 x 16/841)))) (fma.f64 (.f64 594823321/1259712 (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 594823321/1259712 (pow.f64 (*.f64 x x) 3)) 5159780352/353814783205469041) 26623333280885243904/125184900814733057351483732809459681)))
(/.f64 (/.f64 (+.f64 2985984/500246412961 (.f64 (pow.f64 x 4) -707281/11664)) 1) (+.f64 -1728/707281 (.f64 (*.f64 x x) -841/108)))
(-.f64 (/.f64 2985984/500246412961 (+.f64 -1728/707281 (.f64 x (.f64 x -841/108)))) (.f64 (/.f64 (pow.f64 x 4) (+.f64 -1728/707281 (.f64 x (*.f64 x -841/108)))) 707281/11664))
(+.f64 (/.f64 2985984/500246412961 (fma.f64 x (.f64 x -841/108) -1728/707281)) (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -841/108) -1728/707281)) -707281/11664))
(/.f64 (fma.f64 (pow.f64 x 4) -707281/11664 2985984/500246412961) (fma.f64 x (*.f64 x -841/108) -1728/707281))
(/.f64 (/.f64 (+.f64 2985984/500246412961 (.f64 (pow.f64 x 4) -707281/11664)) (sqrt.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) -841/108)))) (sqrt.f64 (+.f64 -1728/707281 (.f64 (*.f64 x x) -841/108))))
(-.f64 (/.f64 2985984/500246412961 (+.f64 -1728/707281 (.f64 x (.f64 x -841/108)))) (.f64 (/.f64 (pow.f64 x 4) (+.f64 -1728/707281 (.f64 x (*.f64 x -841/108)))) 707281/11664))
(+.f64 (/.f64 2985984/500246412961 (fma.f64 x (.f64 x -841/108) -1728/707281)) (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -841/108) -1728/707281)) -707281/11664))
(/.f64 (fma.f64 (pow.f64 x 4) -707281/11664 2985984/500246412961) (fma.f64 x (*.f64 x -841/108) -1728/707281))
(/.f64 (/.f64 (+.f64 2985984/500246412961 (.f64 (pow.f64 x 4) -707281/11664)) (.f64 (cbrt.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) -841/108))) (cbrt.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) -841/108))))) (cbrt.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) -841/108))))
(-.f64 (/.f64 2985984/500246412961 (+.f64 -1728/707281 (.f64 x (.f64 x -841/108)))) (.f64 (/.f64 (pow.f64 x 4) (+.f64 -1728/707281 (.f64 x (*.f64 x -841/108)))) 707281/11664))
(+.f64 (/.f64 2985984/500246412961 (fma.f64 x (.f64 x -841/108) -1728/707281)) (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -841/108) -1728/707281)) -707281/11664))
(/.f64 (fma.f64 (pow.f64 x 4) -707281/11664 2985984/500246412961) (fma.f64 x (*.f64 x -841/108) -1728/707281))
(/.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3)) 1) (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (*.f64 x x) -16/841))))
(/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3)) (fma.f64 (pow.f64 x 4) 707281/11664 (-.f64 2985984/500246412961 (.f64 x (.f64 x -16/841)))))
(/.f64 (+.f64 -5159780352/353814783205469041 (.f64 594823321/1259712 (pow.f64 (.f64 x x) 3))) (+.f64 2985984/500246412961 (fma.f64 (pow.f64 x 4) 707281/11664 (.f64 x (.f64 x 16/841)))))
(/.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (.f64 x x) -16/841))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (.f64 x x) -16/841)))))
(/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3)) (fma.f64 (pow.f64 x 4) 707281/11664 (-.f64 2985984/500246412961 (.f64 x (.f64 x -16/841)))))
(/.f64 (+.f64 -5159780352/353814783205469041 (.f64 594823321/1259712 (pow.f64 (.f64 x x) 3))) (+.f64 2985984/500246412961 (fma.f64 (pow.f64 x 4) 707281/11664 (.f64 x (.f64 x 16/841)))))
(/.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (.f64 x x) -16/841)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (.f64 x x) -16/841)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (.f64 x x) -16/841)))))
(/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3)) (fma.f64 (pow.f64 x 4) 707281/11664 (-.f64 2985984/500246412961 (.f64 x (.f64 x -16/841)))))
(/.f64 (+.f64 -5159780352/353814783205469041 (.f64 594823321/1259712 (pow.f64 (.f64 x x) 3))) (+.f64 2985984/500246412961 (fma.f64 (pow.f64 x 4) 707281/11664 (.f64 x (.f64 x 16/841)))))
(/.f64 (neg.f64 (+.f64 -2985984/500246412961 (neg.f64 (.f64 (pow.f64 x 4) -707281/11664)))) (+.f64 -1728/707281 (.f64 (*.f64 x x) -841/108)))
(-.f64 (/.f64 2985984/500246412961 (+.f64 -1728/707281 (.f64 x (.f64 x -841/108)))) (.f64 (/.f64 (pow.f64 x 4) (+.f64 -1728/707281 (.f64 x (*.f64 x -841/108)))) 707281/11664))
(+.f64 (/.f64 2985984/500246412961 (fma.f64 x (.f64 x -841/108) -1728/707281)) (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -841/108) -1728/707281)) -707281/11664))
(/.f64 (fma.f64 (pow.f64 x 4) -707281/11664 2985984/500246412961) (fma.f64 x (*.f64 x -841/108) -1728/707281))
(/.f64 (neg.f64 (+.f64 5159780352/353814783205469041 (neg.f64 (pow.f64 (.f64 x (.f64 x 841/108)) 3)))) (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (*.f64 x x) -16/841))))
(/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3)) (fma.f64 (pow.f64 x 4) 707281/11664 (-.f64 2985984/500246412961 (.f64 x (.f64 x -16/841)))))
(/.f64 (+.f64 -5159780352/353814783205469041 (.f64 594823321/1259712 (pow.f64 (.f64 x x) 3))) (+.f64 2985984/500246412961 (fma.f64 (pow.f64 x 4) 707281/11664 (.f64 x (.f64 x 16/841)))))
(pow.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) 1)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) 2)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) 3)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) 3) 1/3)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(neg.f64 (+.f64 1728/707281 (.f64 (.f64 x x) -841/108)))
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(neg.f64 (/.f64 (+.f64 2985984/500246412961 (.f64 (pow.f64 x 4) -707281/11664)) (+.f64 1728/707281 (neg.f64 (.f64 (*.f64 x x) -841/108)))))
(/.f64 (fma.f64 (pow.f64 x 4) 707281/11664 -2985984/500246412961) (fma.f64 x (*.f64 x 841/108) 1728/707281))
(neg.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3)) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (.f64 (*.f64 x x) -16/841))))))
(/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (.f64 x (.f64 x 841/108)) 3)) (fma.f64 (pow.f64 x 4) 707281/11664 (-.f64 2985984/500246412961 (.f64 x (.f64 x -16/841)))))
(/.f64 (+.f64 -5159780352/353814783205469041 (.f64 594823321/1259712 (pow.f64 (.f64 x x) 3))) (+.f64 2985984/500246412961 (fma.f64 (pow.f64 x 4) 707281/11664 (.f64 x (.f64 x 16/841)))))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) 2))
(fabs.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)))
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281))))
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) 3))
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)))
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)))
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)))
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(fma.f64 (*.f64 x x) 841/108 -1728/707281)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(fma.f64 841/108 (*.f64 x x) -1728/707281)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(fma.f64 1 (.f64 x (.f64 x 841/108)) -1728/707281)
(fma.f64 x (*.f64 x 841/108) -1728/707281)
(fma.f64 (.f64 x (sqrt.f64 841/108)) (.f64 x (sqrt.f64 841/108)) -1728/707281)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 841/108)) 2) -1728/707281)
(+.f64 -1728/707281 (pow.f64 (*.f64 x (sqrt.f64 841/108)) 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 707281/11664)) (cbrt.f64 (.f64 x (*.f64 x 841/108))) -1728/707281)

eval226.0ms (4%)

Compiler: Compiled 11947 to 8964 computations (25% saved)

prune91.0ms (1.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	586	1	587
Fresh	0	1	1
Picked	0	1	1
Done	1	3	4
Total	587	6	593

Error

Counts

593 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.3b	(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)
	32.3b	(/.f64 x (+.f64 108/841 (/.f64 -46656/20511149 x)))
✓	32.1b	(/.f64 1 (/.f64 108/841 x))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	32.1b	(*.f64 841/108 x)
	30.4b	4/29

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes28.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

Inputs
4/29
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)
(/.f64 1 (/.f64 108/841 x))
(/.f64 x (+.f64 108/841 (/.f64 -46656/20511149 x)))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 1 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x))
(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)
(.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))
(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
(fma.f64 841/108 x 4/29)
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
(.f64 (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:

9.0ms	(*.f64 (/.f64 841 108) x)
9.0ms	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 181 to 140 computations (22.7% saved)

regimes22.0ms (0.4%)

Counts

13 → 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 x (+.f64 108/841 (/.f64 -46656/20511149 x)))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 1 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x))
(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)
(.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))
(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))

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

Calls

3 calls:

7.0ms	(*.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 132 to 98 computations (25.8% saved)

regimes9.0ms (0.2%)

Accuracy

Total -61.1b remaining (-9122.1%)

Threshold costs -61.1b (-9122.1%)

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
0.7b	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch33.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	8.542210721469467e-10	0.026294256179242113
18.0ms	-195513382717582.06	-3.2587466793049145e-17

Results

29.0ms

320×

body

256

valid

Compiler

Compiled 174 to 152 computations (12.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	25	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

soundness13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 28 to 24 computations (14.3% saved)

end25.0ms (0.4%)

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

Details

analyze3.0ms (0.1%)

sample1.1s (19.4%)

preprocess4.0ms (0.1%)

simplify36.0ms (0.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series1.0ms (0%)

rewrite82.0ms (1.5%)

simplify117.0ms (2.1%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite53.0ms (0.9%)

simplify61.0ms (1.1%)

eval124.0ms (2.2%)

prune35.0ms (0.6%)

localize18.0ms (0.3%)

series0.0ms (0%)

rewrite84.0ms (1.5%)

simplify58.0ms (1%)

localize3.0ms (0%)

localize19.0ms (0.3%)

series3.0ms (0%)

rewrite124.0ms (2.2%)

simplify126.0ms (2.2%)

localize10.0ms (0.2%)

series1.0ms (0%)

rewrite66.0ms (1.2%)

simplify63.0ms (1.1%)

localize16.0ms (0.3%)

series4.0ms (0.1%)

rewrite90.0ms (1.6%)

simplify112.0ms (2%)

eval499.0ms (8.8%)

prune261.0ms (4.6%)

localize13.0ms (0.2%)

series3.0ms (0%)

rewrite180.0ms (3.2%)

simplify176.0ms (3.1%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite150.0ms (2.7%)

simplify162.0ms (2.9%)

localize7.0ms (0.1%)

series0.0ms (0%)

rewrite53.0ms (0.9%)

simplify45.0ms (0.8%)

eval506.0ms (9%)

prune214.0ms (3.8%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite108.0ms (1.9%)

simplify151.0ms (2.7%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite83.0ms (1.5%)

simplify109.0ms (1.9%)

eval226.0ms (4%)

prune91.0ms (1.6%)

regimes28.0ms (0.5%)

regimes22.0ms (0.4%)

regimes9.0ms (0.2%)

bsearch33.0ms (0.6%)

simplify5.0ms (0.1%)

soundness13.0ms (0.2%)

end25.0ms (0.4%)

Profiling