Details

analyze3.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (14.4%)

Results

1.1s	8256×	body	256	valid
0.0ms	4×	body	256	infinite

Bogosity

preprocess5.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify50.0ms (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 (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
✓	0.1b	(*.f64 (/.f64 841 108) x)

Compiler

Compiled 26 to 23 computations (11.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite80.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

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

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

simplify127.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

152 → 194

Calls

Call 1

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

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

localize3.0ms (0%)

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)

rewrite77.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify65.0ms (0.8%)

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)

eval125.0ms (1.6%)

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

prune33.0ms (0.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	216	9	225
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	218	9	227

Error

0.0b

Counts

227 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	18.6b	(/.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)))))
	14.4b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
	14.9b	(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
▶	13.9b	(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (.f64 (/.f64 707281/11664 (+.f64 4/29 (.f64 x -841/108))) (.f64 x x)))
▶	0.6b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
▶	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	14.4b	(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
▶	34.5b	(*.f64 841/108 x)
	28.9b	4/29

Compiler

Compiled 220 to 180 computations (18.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 841/108 x) 4/29)
✓	0.1b	(*.f64 841/108 x)

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.7%)

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)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(*.f64 841/108 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 841/108 x)
✓	0.2b	(/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))
✓	0.2b	(.f64 -707281/11664 (.f64 x x))
✓	13.3b	(.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	@	inf	(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
0.0ms	x	@	0	(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
0.0ms	x	@	inf	(.f64 -707281/11664 (.f64 x x))
0.0ms	x	@	-inf	(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))

rewrite130.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

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

simplify130.0ms (1.6%)

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)))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))
✓	0.1b	(*.f64 x -841/108)
✓	0.3b	(/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108)))
✓	13.1b	(.f64 (/.f64 707281/11664 (+.f64 4/29 (.f64 x -841/108))) (*.f64 x x))

Compiler

Compiled 61 to 45 computations (26.2% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite90.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

Outputs
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simplify144.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

244 → 319

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
	0.1b	(*.f64 841/108 x)
✓	0.6b	(cbrt.f64 (*.f64 841/108 x))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)

Compiler

Compiled 32 to 27 computations (15.6% saved)

series6.0ms (0.1%)

Counts

3 → 3

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
0.0ms	x	@	-inf	(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
0.0ms	x	@	-inf	(cbrt.f64 (*.f64 841/108 x))

rewrite94.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`*-commutative`
634×	`unswap-sqr`
536×	`swap-sqr`
394×	`sqr-pow`
346×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	280	27
2	2899	27

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

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

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841/108 x)) 4/29)))))

simplify373.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1310×	`associate-/r*`
1114×	`associate-*r/`
874×	`associate-*l/`
630×	`associate-/l/`
626×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	8072
1	1294	6374
2	4331	5936

Stop Event

1×	node limit

Counts

190 → 282

Calls

Call 1

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

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

eval864.0ms (10.9%)

Compiler: Compiled 25895 to 20057 computations (22.5% saved)

prune278.0ms (3.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1088	5	1093
Fresh	2	2	4
Picked	1	0	1
Done	1	3	4
Total	1092	10	1102

Error

Counts

1102 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.4b	(/.f64 (-.f64 16/841 (.f64 707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
	18.6b	(/.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))))
▶	14.9b	(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
▶	0.4b	(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (/.f64 (.f64 707281/11664 x) (/.f64 (fma.f64 x -841/108 4/29) x)))
▶	15.7b	(-.f64 4/29 (.f64 (/.f64 707281/11664 (+.f64 4/29 (.f64 x -841/108))) (*.f64 x x)))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	14.4b	(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
▶	49.0b	(.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))
✓	34.5b	(*.f64 841/108 x)
	28.9b	4/29

Compiler

Compiled 218 to 173 computations (20.6% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 707281/11664 x)
✓	0.2b	(/.f64 (fma.f64 x -841/108 4/29) x)
	0.3b	(/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108)))
✓	0.4b	(/.f64 (*.f64 707281/11664 x) (/.f64 (fma.f64 x -841/108 4/29) x))

Compiler

Compiled 62 to 47 computations (24.2% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite89.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1148×	`*-commutative`
748×	`swap-sqr`
730×	`associate-/r/`
706×	`unswap-sqr`
596×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	238	49
2	3135	49

Stop Event

1×	node limit

Counts

3 → 210

Calls

Call 1

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

Outputs

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

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

simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1208×	`distribute-lft-neg-in`
976×	`times-frac`
924×	`associate-/l*`
916×	`associate-l`
906×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	498	6358
1	1441	5774
2	7003	5772

Stop Event

1×	node limit

Counts

234 → 277

Calls

Call 1

Inputs
(*.f64 20511149/46656 (pow.f64 x 2))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (.f64 500246412961/20155392 (pow.f64 x 3)))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(*.f64 -841/108 x)
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 -841/108 x)
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(/.f64 4/29 x)
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
-841/108
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
-841/108
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(-.f64 (exp.f64 (log1p.f64 (.f64 707281/11664 (.f64 x (/.f64 x (fma.f64 x -841/108 4/29)))))) 1)
(.f64 707281/11664 (.f64 x (/.f64 x (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(.f64 (.f64 707281/11664 x) (/.f64 x (fma.f64 x -841/108 4/29)))
(.f64 (.f64 707281/11664 (*.f64 x (/.f64 x (fma.f64 x -841/108 4/29)))) 1)
(.f64 1 (.f64 707281/11664 (*.f64 x (/.f64 x (fma.f64 x -841/108 4/29)))))
(.f64 (/.f64 841/108 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) (.f64 x x)))) (/.f64 841/108 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x x)))))
(.f64 (.f64 841/108 (sqrt.f64 x)) (.f64 (.f64 841/108 (sqrt.f64 x)) (/.f64 x (fma.f64 x -841/108 4/29))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29)))))
(.f64 (cbrt.f64 (.f64 707281/11664 (.f64 x (/.f64 x (fma.f64 x -841/108 4/29))))) (pow.f64 (cbrt.f64 (.f64 707281/11664 (*.f64 x (/.f64 x (fma.f64 x -841/108 4/29))))) 2))
(.f64 (cbrt.f64 (.f64 707281/11664 (.f64 x (/.f64 x (fma.f64 x -841/108 4/29))))) (/.f64 (pow.f64 (cbrt.f64 (.f64 707281/11664 x)) 2) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 707281/11664 (.f64 x (/.f64 x (fma.f64 x -841/108 4/29))))) 2) (cbrt.f64 (.f64 707281/11664 (*.f64 x (/.f64 x (fma.f64 x -841/108 4/29))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 707281/11664 x)) 2) (.f64 (cbrt.f64 (.f64 707281/11664 x)) (/.f64 x (fma.f64 x -841/108 4/29))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29)))))
(.f64 (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))) x)
(.f64 (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))) (/.f64 x 1))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 707281/11664 x))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (/.f64 (.f64 707281/11664 x) 1))
(.f64 (neg.f64 x) (/.f64 (.f64 707281/11664 x) (-.f64 -4/29 (*.f64 x -841/108))))
(.f64 (.f64 x -707281/11664) (/.f64 x (-.f64 -4/29 (*.f64 x -841/108))))
(.f64 (.f64 (sqrt.f64 x) (*.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29)))) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29)))) (cbrt.f64 x))
(.f64 (.f64 x (/.f64 x (fma.f64 x -841/108 4/29))) 707281/11664)
(.f64 (.f64 (.f64 841/108 (sqrt.f64 x)) (/.f64 x (fma.f64 x -841/108 4/29))) (.f64 841/108 (sqrt.f64 x)))
(.f64 (.f64 (cbrt.f64 (.f64 707281/11664 x)) (/.f64 x (fma.f64 x -841/108 4/29))) (pow.f64 (cbrt.f64 (.f64 707281/11664 x)) 2))
(.f64 (/.f64 (.f64 707281/11664 x) 1) (/.f64 x (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 (.f64 707281/11664 x) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (.f64 707281/11664 x) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (.f64 707281/11664 x) (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))) (*.f64 1 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))))
(.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (.f64 707281/11664 (*.f64 x x)))
(.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (/.f64 (.f64 707281/11664 x) (/.f64 1 x)))
(.f64 (.f64 1 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (/.f64 (*.f64 707281/11664 x) (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)) (/.f64 (.f64 707281/11664 x) (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))))
(.f64 (/.f64 x 1) (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(.f64 (.f64 (/.f64 x 1) x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 x (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))) (.f64 707281/11664 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))))
(*.f64 (/.f64 x (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))) (/.f64 707281/11664 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)))
(.f64 (/.f64 (.f64 707281/11664 x) (/.f64 1 x)) (/.f64 1 (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 (.f64 707281/11664 x) (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)))
(.f64 (/.f64 (.f64 707281/11664 x) (-.f64 -4/29 (*.f64 x -841/108))) (neg.f64 x))
(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (.f64 (.f64 707281/11664 x) (neg.f64 x)))
(.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (.f64 x x))
(.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (.f64 (/.f64 x 1) x))
(.f64 (/.f64 (.f64 841/108 (sqrt.f64 x)) 1) (.f64 (/.f64 (.f64 841/108 (sqrt.f64 x)) (fma.f64 x -841/108 4/29)) x))
(.f64 (/.f64 (.f64 841/108 (sqrt.f64 x)) (fma.f64 x -841/108 4/29)) (.f64 (/.f64 (.f64 841/108 (sqrt.f64 x)) 1) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 707281/11664 x)) 2) 1) (.f64 (/.f64 (cbrt.f64 (.f64 707281/11664 x)) (fma.f64 x -841/108 4/29)) x))
(.f64 (.f64 707281/11664 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (/.f64 x (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))))
(*.f64 (/.f64 707281/11664 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)) (/.f64 x (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)) (.f64 707281/11664 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))))
(.f64 (.f64 707281/11664 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)))
(.f64 (.f64 (/.f64 (.f64 841/108 (sqrt.f64 x)) 1) x) (/.f64 (.f64 841/108 (sqrt.f64 x)) (fma.f64 x -841/108 4/29)))
(.f64 (.f64 (/.f64 (.f64 841/108 (sqrt.f64 x)) (fma.f64 x -841/108 4/29)) x) (.f64 841/108 (sqrt.f64 x)))
(.f64 (.f64 (/.f64 (.f64 841/108 (sqrt.f64 x)) (fma.f64 x -841/108 4/29)) x) (/.f64 (.f64 841/108 (sqrt.f64 x)) 1))
(.f64 (/.f64 (.f64 841/108 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)) (/.f64 (*.f64 841/108 (sqrt.f64 x)) (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))))
(.f64 (/.f64 (.f64 841/108 (sqrt.f64 x)) (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))) (/.f64 (*.f64 841/108 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 707281/11664 x)) 2) (fma.f64 x -841/108 4/29)) (.f64 (/.f64 (cbrt.f64 (.f64 707281/11664 x)) 1) x))
(.f64 (.f64 (/.f64 (cbrt.f64 (.f64 707281/11664 x)) 1) x) (/.f64 (pow.f64 (cbrt.f64 (.f64 707281/11664 x)) 2) (fma.f64 x -841/108 4/29)))
(.f64 (.f64 (/.f64 (cbrt.f64 (.f64 707281/11664 x)) (fma.f64 x -841/108 4/29)) x) (/.f64 (pow.f64 (cbrt.f64 (.f64 707281/11664 x)) 2) 1))
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(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 x -841/108 4/29) x) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (fma.f64 x -841/108 4/29) x) 3) 1/6))
(*.f64 (pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -1/2) (pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -1/2))
(pow.f64 (/.f64 (fma.f64 x -841/108 4/29) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x -841/108 4/29) x) 3) 1/3)
(pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -1)
(neg.f64 (/.f64 (fma.f64 x -841/108 4/29) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 (fma.f64 x -841/108 4/29) (neg.f64 x)) 1))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x -841/108 4/29) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x -841/108 4/29) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x -841/108 4/29) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -841/108 4/29) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 707281/11664 x))) 1)
(/.f64 707281/11664 (/.f64 1 x))
(pow.f64 (*.f64 707281/11664 x) 1)
(pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 707281/11664 x)) 3)
(pow.f64 (pow.f64 (*.f64 707281/11664 x) 3) 1/3)
(neg.f64 (*.f64 x -707281/11664))
(sqrt.f64 (.f64 500246412961/136048896 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 707281/11664) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 707281/11664 x))))
(cbrt.f64 (pow.f64 (*.f64 707281/11664 x) 3))
(expm1.f64 (log1p.f64 (*.f64 707281/11664 x)))
(exp.f64 (log.f64 (*.f64 707281/11664 x)))
(log1p.f64 (expm1.f64 (*.f64 707281/11664 x)))

Outputs
(*.f64 20511149/46656 (pow.f64 x 2))
(.f64 20511149/46656 (.f64 x x))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (.f64 500246412961/20155392 (pow.f64 x 3)))
(fma.f64 20511149/46656 (.f64 x x) (.f64 500246412961/20155392 (pow.f64 x 3)))
(fma.f64 500246412961/20155392 (pow.f64 x 3) (.f64 20511149/46656 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 20511149/46656 (*.f64 500246412961/20155392 x)))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))
(fma.f64 20511149/46656 (.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (.f64 12200509765705829/8707129344 (pow.f64 x 4))))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(fma.f64 20511149/46656 (.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 297558232675799463481/3761479876608 (pow.f64 x 5) (.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(fma.f64 20511149/46656 (.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 12200509765705829/8707129344 (pow.f64 x 4) (.f64 297558232675799463481/3761479876608 (pow.f64 x 5)))))
(*.f64 -841/108 x)
(*.f64 x -841/108)
(-.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 -4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(-.f64 (fma.f64 x -841/108 -4/29) (/.f64 1728/707281 x))
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(-.f64 (fma.f64 x -841/108 -4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(-.f64 (-.f64 (fma.f64 x -841/108 -4/29) (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x)))
(*.f64 -841/108 x)
(*.f64 x -841/108)
(-.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 -4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(-.f64 (fma.f64 x -841/108 -4/29) (/.f64 1728/707281 x))
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(-.f64 (fma.f64 x -841/108 -4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(-.f64 (-.f64 (fma.f64 x -841/108 -4/29) (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x)))
(/.f64 4/29 x)
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
-841/108
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
-841/108
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108)
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 707281/11664 (.f64 x (/.f64 x (fma.f64 x -841/108 4/29)))))) 1)
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 707281/11664 (.f64 x (/.f64 x (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (.f64 707281/11664 x) (/.f64 x (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (.f64 707281/11664 (*.f64 x (/.f64 x (fma.f64 x -841/108 4/29)))) 1)
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 1 (.f64 707281/11664 (*.f64 x (/.f64 x (fma.f64 x -841/108 4/29)))))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (/.f64 841/108 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) (.f64 x x)))) (/.f64 841/108 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x x)))))
(pow.f64 (/.f64 841/108 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x x)))) 2)
(pow.f64 (/.f64 841/108 (sqrt.f64 (/.f64 (+.f64 -841/108 (/.f64 4/29 x)) x))) 2)
(.f64 (.f64 841/108 (sqrt.f64 x)) (.f64 (.f64 841/108 (sqrt.f64 x)) (/.f64 x (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29)))))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (cbrt.f64 (.f64 707281/11664 (.f64 x (/.f64 x (fma.f64 x -841/108 4/29))))) (pow.f64 (cbrt.f64 (.f64 707281/11664 (*.f64 x (/.f64 x (fma.f64 x -841/108 4/29))))) 2))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (cbrt.f64 (.f64 707281/11664 (.f64 x (/.f64 x (fma.f64 x -841/108 4/29))))) (/.f64 (pow.f64 (cbrt.f64 (.f64 707281/11664 x)) 2) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)))
(.f64 (cbrt.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 707281/11664)) 2) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)))
(/.f64 (cbrt.f64 (/.f64 (.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -841/108 (/.f64 4/29 x))) 2) (pow.f64 (cbrt.f64 (.f64 x 707281/11664)) 2)))
(.f64 (cbrt.f64 (.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2) (pow.f64 (cbrt.f64 (+.f64 -841/108 (/.f64 4/29 x))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 707281/11664 (.f64 x (/.f64 x (fma.f64 x -841/108 4/29))))) 2) (cbrt.f64 (.f64 707281/11664 (*.f64 x (/.f64 x (fma.f64 x -841/108 4/29))))))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 707281/11664 x)) 2) (.f64 (cbrt.f64 (.f64 707281/11664 x)) (/.f64 x (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29)))))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))) x)
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))) (/.f64 x 1))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 707281/11664 x))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (/.f64 (.f64 707281/11664 x) 1))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (neg.f64 x) (/.f64 (.f64 707281/11664 x) (-.f64 -4/29 (*.f64 x -841/108))))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (.f64 x -707281/11664) (/.f64 x (-.f64 -4/29 (*.f64 x -841/108))))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (.f64 (sqrt.f64 x) (*.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29)))) (sqrt.f64 x))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29)))) (cbrt.f64 x))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (.f64 x (/.f64 x (fma.f64 x -841/108 4/29))) 707281/11664)
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (.f64 (.f64 841/108 (sqrt.f64 x)) (/.f64 x (fma.f64 x -841/108 4/29))) (.f64 841/108 (sqrt.f64 x)))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (.f64 (cbrt.f64 (.f64 707281/11664 x)) (/.f64 x (fma.f64 x -841/108 4/29))) (pow.f64 (cbrt.f64 (.f64 707281/11664 x)) 2))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (/.f64 (.f64 707281/11664 x) 1) (/.f64 x (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (/.f64 (.f64 707281/11664 x) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
(*.f64 x (/.f64 707281/11664 (+.f64 -841/108 (/.f64 4/29 x))))
(.f64 (/.f64 (.f64 707281/11664 x) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x 707281/11664))
(/.f64 (*.f64 x -707281/11664) (-.f64 (/.f64 -4/29 x) -841/108))
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(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -841/108 (/.f64 4/29 x))) 2) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 -841/108 (/.f64 4/29 x)))) (cbrt.f64 (sqrt.f64 (+.f64 -841/108 (/.f64 4/29 x))))))
(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))) (*.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))))
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -841/108 (/.f64 4/29 x))) 2) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 -841/108 (/.f64 4/29 x)))) (cbrt.f64 (sqrt.f64 (+.f64 -841/108 (/.f64 4/29 x))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 3/2))
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 x -841/108 4/29) x) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (fma.f64 x -841/108 4/29) x) 3) 1/6))
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(*.f64 (pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -1/2) (pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -1/2))
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(pow.f64 (/.f64 (fma.f64 x -841/108 4/29) x) 1)
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 2)
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x)) 3)
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x -841/108 4/29) x) 3) 1/3)
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -1)
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(neg.f64 (/.f64 (fma.f64 x -841/108 4/29) (neg.f64 x)))
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(neg.f64 (/.f64 (/.f64 (fma.f64 x -841/108 4/29) (neg.f64 x)) 1))
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x -841/108 4/29) x) 2))
(fabs.f64 (+.f64 -841/108 (/.f64 4/29 x)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x -841/108 4/29) x))))
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x -841/108 4/29) x) 3))
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -841/108 4/29) 3) (pow.f64 x 3)))
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(exp.f64 (log.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -841/108 4/29) x)))
(+.f64 (/.f64 4/29 x) -841/108)
(+.f64 -841/108 (/.f64 4/29 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 707281/11664 x))) 1)
(*.f64 x 707281/11664)
(/.f64 707281/11664 (/.f64 1 x))
(*.f64 x 707281/11664)
(pow.f64 (*.f64 707281/11664 x) 1)
(*.f64 x 707281/11664)
(pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2)
(*.f64 x 707281/11664)
(pow.f64 (cbrt.f64 (*.f64 707281/11664 x)) 3)
(*.f64 x 707281/11664)
(pow.f64 (pow.f64 (*.f64 707281/11664 x) 3) 1/3)
(*.f64 x 707281/11664)
(neg.f64 (*.f64 x -707281/11664))
(*.f64 x 707281/11664)
(sqrt.f64 (.f64 500246412961/136048896 (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) 500246412961/136048896))
(log.f64 (pow.f64 (exp.f64 707281/11664) x))
(*.f64 x 707281/11664)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 707281/11664 x))))
(*.f64 x 707281/11664)
(cbrt.f64 (pow.f64 (*.f64 707281/11664 x) 3))
(*.f64 x 707281/11664)
(expm1.f64 (log1p.f64 (*.f64 707281/11664 x)))
(*.f64 x 707281/11664)
(exp.f64 (log.f64 (*.f64 707281/11664 x)))
(*.f64 x 707281/11664)
(log1p.f64 (expm1.f64 (*.f64 707281/11664 x)))
(*.f64 x 707281/11664)

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))
✓	0.2b	(/.f64 -108/841 x)
✓	13.6b	(.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))

Compiler

Compiled 34 to 20 computations (41.2% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite160.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 270

Calls

Call 1

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

Outputs

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(fma.f64 -707281/11664 (*.f64 x x) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -707281/11664 (*.f64 x x) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -707281/11664 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -707281/11664 (*.f64 x x)) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -707281/11664)) (*.f64 x (sqrt.f64 -707281/11664)) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (*.f64 -707281/11664 (*.f64 x x))) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -707281/11664 x) x 16/841)))))

simplify137.0ms (1.7%)

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))
(/.f64 (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) -108/841) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 x -841/108)))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 (.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 x -841/108)) 1))
(/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (.f64 (.f64 x -841/108) (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (*.f64 x x) -841/729))))
(/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 (.f64 x -841/108) (/.f64 1 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729)))))
(/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 (.f64 (.f64 x -841/108) (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (*.f64 x x) -841/729))) 1))
(/.f64 108/841 (/.f64 (neg.f64 x) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(/.f64 108/841 (/.f64 (.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (neg.f64 x)) (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))))
(/.f64 108/841 (/.f64 (.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729)) (neg.f64 x)) (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))))
(/.f64 (sqrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (/.f64 (.f64 (.f64 x -841/108) (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729))) (sqrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) -108/841)) (/.f64 x (sqrt.f64 (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) -108/841))))
(/.f64 (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 (.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (.f64 x -841/108)) (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (cbrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))) (/.f64 (.f64 (.f64 x -841/108) (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729))) (cbrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) -108/841)) (cbrt.f64 (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) -108/841))) (/.f64 x (cbrt.f64 (.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) -108/841))))
(/.f64 (.f64 (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))) (/.f64 (.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (.f64 x -841/108)) (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (*.f64 x -841/108)))
(/.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) x) -841/108)
(/.f64 (.f64 (/.f64 -108/841 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 (.f64 x x) -841/729)))
(/.f64 (.f64 -108/841 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (.f64 x (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (+.f64 -442368/500246412961 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) -108/841)) (.f64 x (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (*.f64 x x) -841/729))))
(/.f64 (.f64 (/.f64 -108/841 x) (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)))
(/.f64 (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) 108/841) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 (sqrt.f64 x) -108/841)) (sqrt.f64 x))
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(/.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))))
(.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 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 -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 1 (.f64 (.f64 x -841/108) (/.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 (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 (/.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 (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 (/.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 (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 (/.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 (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 (/.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 (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 -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) -108/841) x)
(.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) -108/841) (/.f64 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 (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) -108/841) (neg.f64 (neg.f64 x)))
(.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 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 x -841/108)))
(.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 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 (.f64 x -841/108) (/.f64 1 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)))))
(.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 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 (.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 x -841/108)) 1))
(.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)))))
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(/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 (sqrt.f64 (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (sqrt.f64 (+.f64 16/841 (.f64 x (.f64 x 707281/11664))))) (sqrt.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896))))
(/.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 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (/.f64 (cbrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 x (.f64 x -841/729))))) (cbrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))))
(/.f64 (cbrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (/.f64 (cbrt.f64 (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729)))) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)))
(/.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 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (/.f64 (cbrt.f64 (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (cbrt.f64 (+.f64 16/841 (.f64 x (.f64 x 707281/11664))))) (cbrt.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896))))
(/.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 65536/500246412961 (.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) 250246473680347348787521/18509302102818816)) (/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 (+.f64 16/841 (.f64 x (*.f64 x 707281/11664))))))
(.f64 (/.f64 (+.f64 65536/500246412961 (.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) -250246473680347348787521/18509302102818816)) (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 1 (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))))
(/.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 16777216/353814783205469041 (.f64 (pow.f64 (pow.f64 x 4) 3) 125184900814733057351483732809459681/2518170116818978404827136)) (/.f64 (+.f64 65536/500246412961 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))) (/.f64 1 (+.f64 16/841 (.f64 x (.f64 x 707281/11664))))))
(/.f64 (.f64 (/.f64 1 (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (+.f64 16777216/353814783205469041 (.f64 (pow.f64 (pow.f64 x 4) 3) -125184900814733057351483732809459681/2518170116818978404827136))) (+.f64 65536/500246412961 (.f64 (pow.f64 x 4) (.f64 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 16777216/353814783205469041 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 125184900814733057351483732809459681/2518170116818978404827136)) (/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 1 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 x (*.f64 x -841/729)))))))
(/.f64 (.f64 1 (+.f64 16777216/353814783205469041 (.f64 (.f64 (pow.f64 x 4) (.f64 (pow.f64 x 4) (pow.f64 x 4))) -125184900814733057351483732809459681/2518170116818978404827136))) (.f64 (+.f64 256/707281 (fma.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 68719476736/210457284365172120330305161 (.f64 (pow.f64 (pow.f64 (.f64 x x) 3) 3) -44292268542362921407825091617016319887724139383235921/3996019499184929743169818581358608384)) (/.f64 (+.f64 16777216/353814783205469041 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 125184900814733057351483732809459681/2518170116818978404827136) (.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))) (/.f64 1 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 x (.f64 x -841/729)))))))
(.f64 (/.f64 (+.f64 68719476736/210457284365172120330305161 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) 3)) (+.f64 16777216/353814783205469041 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) (-.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) 4096/594823321)))) (/.f64 1 (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729)))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664)))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (+.f64 16/841 (.f64 x (*.f64 x 707281/11664))))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (+.f64 16/841 (.f64 x (*.f64 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 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (sqrt.f64 (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (sqrt.f64 (+.f64 16/841 (.f64 x (.f64 x 707281/11664))))))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (.f64 (sqrt.f64 (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (sqrt.f64 (+.f64 16/841 (.f64 x (.f64 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 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (cbrt.f64 (+.f64 16/841 (.f64 x (*.f64 x 707281/11664)))))))
(/.f64 (/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (cbrt.f64 (+.f64 16/841 (.f64 x (.f64 x 707281/11664))))) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 x (.f64 x 707281/11664)))) (cbrt.f64 (+.f64 16/841 (.f64 x (.f64 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 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 x (*.f64 x -841/729)))))
(/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (+.f64 256/707281 (fma.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 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (.f64 (sqrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 x (.f64 x -841/729))))) (sqrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 x (*.f64 x -841/729)))))))
(/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (.f64 (sqrt.f64 (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729)))) (sqrt.f64 (+.f64 256/707281 (fma.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))))
(/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (.f64 (cbrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 x (.f64 x -841/729))))) (.f64 (cbrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 x (.f64 x -841/729))))) (cbrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 x (*.f64 x -841/729))))))))
(/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (.f64 (cbrt.f64 (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729)))) (.f64 (cbrt.f64 (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729)))) (cbrt.f64 (+.f64 256/707281 (fma.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)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3) 1/3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2))
(log.f64 (exp.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(cbrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(expm1.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(exp.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(log1p.f64 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 1 (.f64 -707281/11664 (.f64 x x)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (.f64 x (sqrt.f64 -707281/11664)) (.f64 x (sqrt.f64 -707281/11664)) 16/841)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (.f64 -707281/11664 (*.f64 x x))) 16/841)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (.f64 x (*.f64 x -707281/11664))) 16/841)
(fma.f64 (*.f64 -707281/11664 x) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 4/29 (*.f64 x -841/108))
	0.1b	(/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))
	0.1b	(*.f64 x -841/108)
	13.1b	(.f64 (/.f64 707281/11664 (+.f64 4/29 (.f64 x -841/108))) (*.f64 x x))

Compiler

Compiled 47 to 33 computations (29.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`add-sqr-sqrt`
1502×	`*-un-lft-identity`
1426×	`add-cube-cbrt`
1416×	`add-cbrt-cube`
1402×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	152	9
2	1840	9

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

996×	`associate-/l*`
926×	`*-commutative`
906×	`associate-r`
724×	`associate-l`
530×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	821
1	215	717
2	776	653
3	3458	653
4	7792	653

Stop Event

1×	node limit

Counts

45 → 43

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 16/841 (.f64 707281/11664 (.f64 x x)))
	0.1b	(*.f64 841/108 x)
✓	0.2b	(.f64 707281/11664 (.f64 x x))
✓	13.3b	(/.f64 (-.f64 16/841 (.f64 707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 42 to 27 computations (35.7% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite86.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`associate-/l*`
1802×	`associate-*l/`
1802×	`associate-/r*`
298×	`add-sqr-sqrt`
286×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	301	45
2	4063	45

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

Outputs

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log1p.f64 (expm1.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))))))))

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1412×	`distribute-lft-in`
1390×	`distribute-rgt-in`
1212×	`associate-/r/`
670×	`distribute-lft-neg-in`
440×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	320	4574
1	837	4078
2	3774	4078

Stop Event

1×	node limit

Counts

152 → 198

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))
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 4/29 (*.f64 x 841/108))
(+.f64 (*.f64 x 841/108) 4/29)
(+.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (neg.f64 (.f64 (/.f64 x 11664/707281) (/.f64 x (+.f64 4/29 (*.f64 x -841/108))))))
(+.f64 (neg.f64 (.f64 (/.f64 x 11664/707281) (/.f64 x (+.f64 4/29 (.f64 x -841/108))))) (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))))
(-.f64 4/29 (*.f64 x -841/108))
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (.f64 (/.f64 x 11664/707281) (/.f64 x (+.f64 4/29 (*.f64 x -841/108)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 25/29)
(-.f64 (exp.f64 (log.f64 (+.f64 33/29 (*.f64 x 841/108)))) 1)
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x 841/108)))) 1)
(.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.f64 1 (+.f64 4/29 (.f64 x -841/108))))
(.f64 (+.f64 4/29 (.f64 x 841/108)) 1)
(.f64 1 (+.f64 4/29 (.f64 x 841/108)))
(.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (/.f64 1 (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (sqrt.f64 (+.f64 4/29 (.f64 x 841/108))) (sqrt.f64 (+.f64 4/29 (*.f64 x 841/108))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (/.f64 1 (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))) 2) (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))
(.f64 (+.f64 -16/841 (.f64 707281/11664 (.f64 x x))) (/.f64 -1 (+.f64 4/29 (.f64 x -841/108))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (+.f64 4/29 (.f64 x 841/108)))
(.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 16/841 (+.f64 (.f64 707281/11664 (.f64 x x)) (*.f64 29/27 x))))
(.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 1) (/.f64 (sqrt.f64 (+.f64 4/29 (.f64 x 841/108))) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (/.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2) 1) (/.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (+.f64 4/29 (.f64 x -841/108))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (/.f64 (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))) (cbrt.f64 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))))
(pow.f64 (+.f64 4/29 (*.f64 x 841/108)) 1)
(pow.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x 841/108))) 2)
(pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))) 3)
(pow.f64 (pow.f64 (+.f64 4/29 (*.f64 x 841/108)) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 4/29 (*.f64 x 841/108))) -1)
(neg.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 -4/29 (*.f64 x 841/108))))
(sqrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x 841/108)) 2))
(log.f64 (exp.f64 (+.f64 4/29 (*.f64 x 841/108))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 4/29 (*.f64 x 841/108)))))
(cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x 841/108)) 3))
(expm1.f64 (log.f64 (+.f64 33/29 (*.f64 x 841/108))))
(exp.f64 (log.f64 (+.f64 4/29 (*.f64 x 841/108))))
(exp.f64 (.f64 (log.f64 (+.f64 4/29 (.f64 x 841/108))) 1))
(log1p.f64 (expm1.f64 (+.f64 4/29 (*.f64 x 841/108))))
(-.f64 (exp.f64 (log1p.f64 (.f64 707281/11664 (.f64 x x)))) 1)
(pow.f64 (.f64 707281/11664 (.f64 x x)) 1)
(pow.f64 (*.f64 x 841/108) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))
(log.f64 (pow.f64 (exp.f64 707281/11664) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 707281/11664 (.f64 x x)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (.f64 707281/11664 (.f64 x x))))
(exp.f64 (log.f64 (.f64 707281/11664 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 707281/11664 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 707281/11664 (.f64 x x))))
(+.f64 16/841 (.f64 (.f64 x x) -707281/11664))
(+.f64 16/841 (.f64 (.f64 (*.f64 x x) -707281/11664) 1))
(+.f64 (.f64 (.f64 x x) -707281/11664) 16/841)
(+.f64 (.f64 (.f64 (*.f64 x x) -707281/11664) 1) 16/841)
(+.f64 (-.f64 16/841 (exp.f64 (log1p.f64 (.f64 707281/11664 (.f64 x x))))) 1)
(.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664)) 1)
(.f64 1 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664)))
(.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664))))
(.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2) (cbrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664))))
(.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))
(.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (/.f64 1 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 1)
(/.f64 1 (/.f64 1 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(/.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (/.f64 1 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))))
(/.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2) (/.f64 1 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 (/.f64 1 (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))))
(/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (*.f64 x x)))))
(/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (/.f64 1 (/.f64 1 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (*.f64 x x)))))))
(/.f64 (sqrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (/.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x)))) (sqrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944)))))
(/.f64 (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x))) (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (cbrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)))) (/.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x)))) (cbrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))) (/.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x))) (cbrt.f64 (-.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 707281/11664 (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (neg.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (*.f64 x x))))))
(/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664))) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(/.f64 (+.f64 4096/594823321 (pow.f64 (.f64 (.f64 x x) -707281/11664) 3)) (+.f64 256/707281 (-.f64 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664)) (.f64 16/841 (.f64 (.f64 x x) -707281/11664)))))
(/.f64 (.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))
(/.f64 (.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) 1) (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x)))))
(/.f64 (.f64 (neg.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) 1) (neg.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))
(/.f64 (.f64 (neg.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) 1) (neg.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664))) 1) (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))
(/.f64 (.f64 (+.f64 4096/594823321 (pow.f64 (.f64 (.f64 x x) -707281/11664) 3)) 1) (+.f64 256/707281 (-.f64 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664)) (.f64 16/841 (.f64 (*.f64 x x) -707281/11664)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))) (sqrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (.f64 (sqrt.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 707281/11664 (.f64 x x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2)) (cbrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2)) (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))
(/.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 707281/11664 (.f64 x x))))) (+.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 707281/11664 (.f64 x x))))) (+.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 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x)))))) (+.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 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x)))))) (+.f64 16777216/353814783205469041 (+.f64 (.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 707281/11664 (*.f64 x x))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (sqrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))) (sqrt.f64 (+.f64 16/841 (.f64 707281/11664 (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))) (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))) (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))
(/.f64 (/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) 1) (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (sqrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x)))))) (sqrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (.f64 (cbrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))) (cbrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))) (cbrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 1)
(pow.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2)
(pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 3)
(pow.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 2))
(log.f64 (exp.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))))
(cbrt.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 3))
(expm1.f64 (log.f64 (+.f64 857/841 (.f64 (.f64 x x) -707281/11664))))
(exp.f64 (log.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(exp.f64 (.f64 (log.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664))) 1))
(log1p.f64 (expm1.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(.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)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(.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)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 x 841/108) 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (neg.f64 (.f64 (/.f64 x 11664/707281) (/.f64 x (+.f64 4/29 (*.f64 x -841/108))))))
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (.f64 (/.f64 x 11664/707281) (/.f64 x (+.f64 4/29 (*.f64 x -841/108)))))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (*.f64 (/.f64 x 11664/707281) (/.f64 x (fma.f64 x -841/108 4/29))))
(+.f64 (neg.f64 (.f64 (/.f64 x 11664/707281) (/.f64 x (+.f64 4/29 (.f64 x -841/108))))) (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))))
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (.f64 (/.f64 x 11664/707281) (/.f64 x (+.f64 4/29 (*.f64 x -841/108)))))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (*.f64 (/.f64 x 11664/707281) (/.f64 x (fma.f64 x -841/108 4/29))))
(-.f64 4/29 (*.f64 x -841/108))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (.f64 (/.f64 x 11664/707281) (/.f64 x (+.f64 4/29 (*.f64 x -841/108)))))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (*.f64 (/.f64 x 11664/707281) (/.f64 x (fma.f64 x -841/108 4/29))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 25/29)
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(+.f64 4/29 (expm1.f64 (log1p.f64 (*.f64 841/108 x))))
(-.f64 (exp.f64 (log.f64 (+.f64 33/29 (*.f64 x 841/108)))) 1)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x 841/108)))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(+.f64 4/29 (expm1.f64 (log1p.f64 (*.f64 841/108 x))))
(.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.f64 1 (+.f64 4/29 (.f64 x -841/108))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(.f64 (+.f64 4/29 (.f64 x 841/108)) 1)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(.f64 1 (+.f64 4/29 (.f64 x 841/108)))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (/.f64 1 (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(.f64 (sqrt.f64 (+.f64 4/29 (.f64 x 841/108))) (sqrt.f64 (+.f64 4/29 (*.f64 x 841/108))))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (/.f64 1 (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(.f64 (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))) 2))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))) 2) (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(.f64 (+.f64 -16/841 (.f64 707281/11664 (.f64 x x))) (/.f64 -1 (+.f64 4/29 (.f64 x -841/108))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (fma.f64 x -841/108 4/29)))
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(/.f64 (+.f64 68719476736/210457284365172120330305161 (.f64 (pow.f64 (pow.f64 x 6) 3) -44292268542362921407825091617016319887724139383235921/3996019499184929743169818581358608384)) (.f64 (fma.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 4096/594823321) 16777216/353814783205469041) (+.f64 256/707281 (fma.f64 (.f64 x x) 841/729 (*.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (-.f64 68719476736/210457284365172120330305161 (pow.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) 3)) (.f64 (fma.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 4096/594823321) 16777216/353814783205469041) (+.f64 256/707281 (fma.f64 (.f64 x x) 841/729 (*.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 707281/11664 (.f64 x x) 16/841))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 (.f64 x 707281/11664) x 16/841))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (sqrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))) (sqrt.f64 (+.f64 16/841 (.f64 707281/11664 (*.f64 x x)))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 707281/11664 (.f64 x x) 16/841))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 (.f64 x 707281/11664) x 16/841))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))) (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))) (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 707281/11664 (.f64 x x) 16/841))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 (.f64 x 707281/11664) x 16/841))
(/.f64 (/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) 1) (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (*.f64 x x)))))
(/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (.f64 x x) 841/729 (.f64 (pow.f64 x 4) 500246412961/136048896))))
(/.f64 (/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (sqrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x)))))) (sqrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (.f64 x x) 841/729 (.f64 (pow.f64 x 4) 500246412961/136048896))))
(/.f64 (/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (.f64 (cbrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))) (cbrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))) (cbrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (.f64 x x) 841/729 (.f64 (pow.f64 x 4) 500246412961/136048896))))
(pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 1)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(pow.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(pow.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 3) 1/3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(sqrt.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 2))
(sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2))
(fabs.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841))
(log.f64 (exp.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(cbrt.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 3))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(expm1.f64 (log.f64 (+.f64 857/841 (.f64 (.f64 x x) -707281/11664))))
(expm1.f64 (log.f64 (+.f64 (.f64 x (.f64 x -707281/11664)) 857/841)))
(expm1.f64 (log.f64 (fma.f64 x (*.f64 x -707281/11664) 857/841)))
(exp.f64 (log.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(exp.f64 (.f64 (log.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664))) 1))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(log1p.f64 (expm1.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 841/108 x)
✓	0.2b	(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
	0.2b	(.f64 -707281/11664 (.f64 x x))
✓	13.8b	(/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))))

Compiler

Compiled 58 to 39 computations (32.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite98.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

Outputs

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

simplify138.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

181 → 270

Calls

Call 1

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

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

eval729.0ms (9.2%)

Compiler: Compiled 37917 to 28063 computations (26% saved)

prune522.0ms (6.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1607	3	1610
Fresh	0	2	2
Picked	1	0	1
Done	5	2	7
Total	1613	7	1620

Error

Counts

1620 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.6b	(/.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))))
▶	34.6b	(/.f64 1 (/.f64 108/841 x))
▶	13.9b	(-.f64 4/29 (.f64 (/.f64 -841/108 x) (.f64 x x)))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	48.8b	(.f64 (.f64 x (*.f64 x -707281/11664)) (/.f64 -108/841 x))
✓	34.5b	(*.f64 841/108 x)
	28.9b	4/29

Compiler

Compiled 58 to 45 computations (22.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x -707281/11664))
✓	0.2b	(*.f64 x -707281/11664)
	0.2b	(/.f64 -108/841 x)
✓	29.8b	(.f64 (.f64 x (*.f64 x -707281/11664)) (/.f64 -108/841 x))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite76.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

Outputs

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

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

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

simplify44.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

84 → 59

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 4/29 (.f64 (/.f64 -841/108 x) (.f64 x x)))
✓	0.1b	(/.f64 -841/108 x)
✓	29.5b	(.f64 (/.f64 -841/108 x) (.f64 x x))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite304.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`associate-*r/`
964×	`associate-*l/`
944×	`*-commutative`
664×	`associate-/r*`
570×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	207	51
2	2739	51

Stop Event

1×	node limit

Counts

3 → 182

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -841/108 (/.f64 x (/.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -841/108 (/.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 x -108/841) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 x -108/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -841/108 (/.f64 x (/.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (*.f64 -841/108 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (*.f64 x -108/841) (*.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 x -108/841) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 x -108/841) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 x -108/841) (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -841/108 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -841/108 (*.f64 x x)) (/.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 841/108 (/.f64 (neg.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 -841/108 (*.f64 x x))) (/.f64 x (sqrt.f64 (*.f64 -841/108 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 -841/108 (*.f64 x x))) (cbrt.f64 (*.f64 -841/108 (*.f64 x x)))) (/.f64 x (cbrt.f64 (*.f64 -841/108 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (*.f64 x -108/841) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -841/108 x) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -841/108 (cbrt.f64 (pow.f64 x 4))) (/.f64 x (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x -108/841) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 x x)) -108/841)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 -841/108 x))) (sqrt.f64 (*.f64 x -108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) -108/841) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -841/108 (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -841/108 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 841/108) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (*.f64 x 108/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 841/108)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (/.f64 -841/108 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (/.f64 -841/108 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 x x) -108/841)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 -841/108 (*.f64 x x)) (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 -841/108 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 -841/108 x))) (sqrt.f64 (*.f64 -841/108 (*.f64 x x)))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -841/108 (/.f64 x (/.f64 x x)))) 2) (cbrt.f64 (*.f64 -841/108 (*.f64 x x)))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -841/108 (*.f64 x x)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -841/108 (*.f64 x 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simplify313.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1396×	`associate-/l*`
686×	`associate-r`
672×	`associate-l`
610×	`times-frac`
560×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	475	6416
1	1346	5498
2	7034	5492

Stop Event

1×	node limit

Counts

206 → 279

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

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 108/841 x)
✓	0.3b	(/.f64 1 (/.f64 108/841 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite57.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

58 → 51

Calls

Call 1

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

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

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 594823321/1259712 (pow.f64 x 3))
	0.2b	(.f64 707281/11664 (.f64 x x))
✓	0.6b	(*.f64 x 29/27)
✓	18.0b	(/.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))))

Compiler

Compiled 69 to 49 computations (29% saved)

series6.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(*.f64 x 29/27)
1.0ms	x	@	0	(/.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))))
1.0ms	x	@	inf	(/.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))))
0.0ms	x	@	-inf	(/.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))))
0.0ms	x	@	inf	(*.f64 594823321/1259712 (pow.f64 x 3))

rewrite86.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`associate-/r*`
998×	`associate-/l*`
406×	`add-sqr-sqrt`
388×	`add-cbrt-cube`
388×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	418	67
2	5377	67

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

Inputs
(/.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 x 29/27)
(*.f64 594823321/1259712 (pow.f64 x 3))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 29/27))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 29/27) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 29/27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 29/27)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 24389/19683) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 29/27) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 29/27) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 24389/19683))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 29/27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 29/27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 29/27)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 29/27)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 841/108) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 594823321/1259712)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 210457284365172120330305161/1999004627104432128) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 594823321/1259712))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 210457284365172120330305161/1999004627104432128))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 594823321/1259712 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))))))

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Rules

896×	`+-commutative`
690×	`distribute-lft-in`
662×	`distribute-rgt-in`
584×	`associate-*r/`
560×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2563
1	450	2339
2	1682	2317
3	6633	2317

Stop Event

1×	node limit

Counts

85 → 92

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

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 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27))))) 1)
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x -29/27 16/841)))
(.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x -29/27 16/841)))
(.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27))) 1)
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(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x -29/27 16/841)))
(pow.f64 (/.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) -1)
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x -29/27 16/841)))
(neg.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 -16/841 (-.f64 (.f64 x 29/27) (pow.f64 (.f64 x 841/108) 2)))))
(/.f64 (neg.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (+.f64 -16/841 (-.f64 (.f64 x 29/27) (pow.f64 (.f64 841/108 x) 2))))
(/.f64 (+.f64 -64/24389 (.f64 (pow.f64 x 3) -594823321/1259712)) (+.f64 -16/841 (-.f64 (.f64 x 29/27) (.f64 707281/11664 (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 -64/24389) (+.f64 -16/841 (.f64 x (-.f64 29/27 (.f64 x 707281/11664)))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27))) 2))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x -29/27 16/841)))
(log.f64 (exp.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x -29/27 16/841)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x -29/27 16/841)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27))) 3))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x -29/27 16/841)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) 3) (pow.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)) 3)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x -29/27 16/841)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x -29/27 16/841)))
(exp.f64 (log.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x -29/27 16/841)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))) 1))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x -29/27 16/841)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x -29/27 16/841)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 29/27))) 1)
(*.f64 x 29/27)
(pow.f64 (*.f64 x 29/27) 1)
(*.f64 x 29/27)
(pow.f64 (sqrt.f64 (*.f64 x 29/27)) 2)
(*.f64 x 29/27)
(pow.f64 (cbrt.f64 (*.f64 x 29/27)) 3)
(*.f64 x 29/27)
(pow.f64 (*.f64 (pow.f64 x 3) 24389/19683) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 24389/19683))
(sqrt.f64 (pow.f64 (*.f64 x 29/27) 2))
(*.f64 x 29/27)
(log.f64 (pow.f64 (exp.f64 29/27) x))
(*.f64 x 29/27)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 29/27))))
(*.f64 x 29/27)
(cbrt.f64 (*.f64 (pow.f64 x 3) 24389/19683))
(expm1.f64 (log1p.f64 (*.f64 x 29/27)))
(*.f64 x 29/27)
(exp.f64 (log.f64 (*.f64 x 29/27)))
(*.f64 x 29/27)
(exp.f64 (.f64 (log.f64 (.f64 x 29/27)) 1))
(*.f64 x 29/27)
(log1p.f64 (expm1.f64 (*.f64 x 29/27)))
(*.f64 x 29/27)
(-.f64 (exp.f64 (log1p.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))) 1)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 594823321/1259712)) 2)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 210457284365172120330305161/1999004627104432128) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 210457284365172120330305161/1999004627104432128))
(sqrt.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 594823321/1259712))
(*.f64 594823321/1259712 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 210457284365172120330305161/1999004627104432128))
(expm1.f64 (log1p.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 594823321/1259712 (pow.f64 x 3))) 1))
(*.f64 594823321/1259712 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))
(*.f64 594823321/1259712 (pow.f64 x 3))

eval207.0ms (2.6%)

Compiler: Compiled 9838 to 6784 computations (31% saved)

prune83.0ms (1.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	528	1	529
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	528	8	536

Error

Counts

536 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.6b	(/.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))))
	48.3b	(/.f64 (.f64 (.f64 x x) 841/108) x)
✓	34.6b	(/.f64 1 (/.f64 108/841 x))
✓	13.9b	(-.f64 4/29 (.f64 (/.f64 -841/108 x) (.f64 x x)))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	48.8b	(.f64 (.f64 x (*.f64 x -707281/11664)) (/.f64 -108/841 x))
✓	34.5b	(*.f64 841/108 x)
	28.9b	4/29

Compiler

Compiled 66 to 50 computations (24.2% saved)

regimes35.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
11.0ms	(*.f64 (/.f64 841 108) x)
6.0ms	(+.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 238 to 176 computations (26.1% saved)

regimes26.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

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 166 to 120 computations (27.7% saved)

regimes8.0ms (0.1%)

Accuracy

Total -59.7b remaining (-3224.1%)

Threshold costs -59.7b (-3224.1%)

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
1.9b	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	6.983860155119566e-6	0.11216001682564279
19.0ms	-1330878196.2524354	-0.0004757407401928079

Results

31.0ms

288×

body

256

valid

Compiler

Compiled 158 to 138 computations (12.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	25	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness14.0ms (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)

end26.0ms (0.3%)

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