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)

sample943.0ms (12%)

Results

923.0ms	8249×	body	256	valid
1.0ms	6×	body	1024	valid
0.0ms	5×	body	256	infinite
0.0ms	1×	body	512	valid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify14.0ms (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

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)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 23 computations (11.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite91.0ms (1.2%)

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)))))

simplify96.0ms (1.2%)

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

rewrite62.0ms (0.8%)

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)))))))

simplify60.0ms (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)

eval151.0ms (1.9%)

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

prune48.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Error

0.0b

Counts

227 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	16.3b	(/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))
	16.4b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
▶	16.9b	(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
	15.9b	(-.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)))
▶	16.4b	(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 -841/108 x))) (/.f64 (.f64 (.f64 707281/11664 x) x) (+.f64 4/29 (.f64 -841/108 x))))
	34.9b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
▶	0.7b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
▶	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	31.4b	(*.f64 841/108 x)
	32.3b	4/29

Compiler

Compiled 238 to 196 computations (17.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite60.0ms (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)))))

simplify56.0ms (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)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
✓	0.2b	(.f64 -707281/11664 (.f64 x x))
	0.2b	(*.f64 841/108 x)
✓	15.7b	(/.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)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite135.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify207.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

206 → 287

Calls

Call 1

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

Outputs
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(fma.f64 -707281/1728 x 29/4)
(+.f64 29/4 (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x)))
(+.f64 29/4 (fma.f64 17249876309/746496 (.f64 x x) (.f64 -707281/1728 x)))
(+.f64 (fma.f64 -707281/1728 x 29/4) (.f64 x (.f64 x 17249876309/746496)))
(+.f64 29/4 (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))))
(+.f64 29/4 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 17249876309/746496 (.f64 x x) (.f64 -707281/1728 x))))
(+.f64 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (.f64 x (.f64 x 17249876309/746496))) (fma.f64 -707281/1728 x 29/4))
(+.f64 (fma.f64 -707281/1728 x 29/4) (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (.f64 x (.f64 x 17249876309/746496))))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 3))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) 3) (pow.f64 (+.f64 4/29 (.f64 x -841/108)) 3)))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (-.f64 (log.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (log.f64 (+.f64 4/29 (.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) -1))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 1))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))

localize54.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 707281/11664 x)
✓	0.2b	(*.f64 -841/108 x)
✓	0.3b	(/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x)))
✓	15.4b	(/.f64 (.f64 (.f64 707281/11664 x) x) (+.f64 4/29 (*.f64 -841/108 x)))

Compiler

Compiled 59 to 45 computations (23.7% saved)

series2.0ms (0%)

Counts

4 → 24

Calls

12 calls:

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

rewrite123.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`associate-/r/`
884×	`swap-sqr`
710×	`distribute-rgt-in`
676×	`distribute-lft-in`
580×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	286	56
2	3723	56

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

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

Outputs
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simplify146.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

794×	`associate-r`
710×	`associate-l`
666×	`associate-+r+`
630×	`associate-/l*`
602×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	456	6502
1	1321	6172
2	5675	6158

Stop Event

1×	node limit

Counts

198 → 291

Calls

Call 1

Inputs
(*.f64 20511149/46656 (pow.f64 x 2))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (.f64 500246412961/20155392 (pow.f64 x 3)))
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(+.f64 (.f64 16/841 (/.f64 16/841 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (.f64 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27)) (/.f64 16/841 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))))
(+.f64 (.f64 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27)) (/.f64 16/841 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (.f64 16/841 (/.f64 16/841 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))))
(-.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 16/841 (/.f64 (fma.f64 x -841/108 4/29) (+.f64 (.f64 707281/11664 (*.f64 x x)) 16/841)))
(.f64 16/841 (/.f64 (+.f64 16/841 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27))) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))))
(*.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 (/.f64 256/707281 (pow.f64 (fma.f64 x -841/108 4/29) 2))))
(*.f64 (cbrt.f64 (/.f64 256/707281 (pow.f64 (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 (+.f64 (.f64 x -841/108) -4/29)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 16/841 (cbrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 16/841 (+.f64 (.f64 707281/11664 (*.f64 x x)) 16/841)) (fma.f64 x -841/108 4/29))
(.f64 (/.f64 16/841 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27))))
(.f64 (/.f64 1 (+.f64 (.f64 707281/11664 (.f64 x x)) 16/841)) (.f64 16/841 (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 1 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (+.f64 256/707281 (.f64 16/841 (.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)))))
(.f64 (/.f64 1 (+.f64 (.f64 x -841/108) -4/29)) -16/841)
(.f64 (/.f64 16/841 (+.f64 -16/841 (.f64 707281/11664 (.f64 x x)))) (+.f64 (.f64 x -841/108) -4/29))
(.f64 (/.f64 16/841 (+.f64 -64/24389 (neg.f64 (.f64 -594823321/1259712 (pow.f64 x 3))))) (neg.f64 (+.f64 16/841 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27)))))
(.f64 (/.f64 16/841 (-.f64 (.f64 707281/11664 (.f64 x x)) 16/841)) (-.f64 (.f64 x -841/108) 4/29))
(.f64 (/.f64 -16/841 (+.f64 -16/841 (.f64 707281/11664 (*.f64 x x)))) (fma.f64 x -841/108 4/29))
(.f64 (/.f64 -16/841 (+.f64 -64/24389 (neg.f64 (.f64 -594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27))))
(.f64 (/.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27)))))
(.f64 (/.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) 16/841))) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (cbrt.f64 (+.f64 16/841 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27)))))
(.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) 16/841))) (cbrt.f64 (fma.f64 x -841/108 4/29)))
(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 (/.f64 256/707281 (pow.f64 (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 707281/11664 (.f64 x x)) 1/2)
(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 -594823321/1259712 (pow.f64 x 3)) 1/3)
(neg.f64 (*.f64 x -841/108))
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(fabs.f64 (*.f64 x -841/108))
(log.f64 (pow.f64 (exp.f64 x) -841/108))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -841/108))))
(cbrt.f64 (*.f64 -594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x -841/108)))
(exp.f64 (log.f64 (*.f64 x -841/108)))
(exp.f64 (.f64 (log.f64 (.f64 x -841/108)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -841/108)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 707281/11664 x))) 1)
(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)
(sqrt.f64 (pow.f64 (*.f64 707281/11664 x) 2))
(log.f64 (pow.f64 (exp.f64 x) 707281/11664))
(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)))
(exp.f64 (.f64 (log.f64 (.f64 707281/11664 x)) 1))
(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 x 500246412961/20155392)))
(+.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 (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 (fma.f64 x -841/108 -4/29) (-.f64 (/.f64 -1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 -1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))) (fma.f64 x -841/108 -4/29))
(*.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 (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 (fma.f64 x -841/108 -4/29) (-.f64 (/.f64 -1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 -1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))) (fma.f64 x -841/108 -4/29))
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 x (-.f64 -841/108 (.f64 x 20511149/46656))))
(+.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 (.f64 (.f64 x x) (+.f64 20511149/46656 (*.f64 x 500246412961/20155392))) (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 -1728/707281 x) (/.f64 746496/17249876309 (*.f64 x 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 -1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (-.f64 (/.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 746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)) (/.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 (/.f64 -746496/17249876309 (*.f64 x x)) (-.f64 (-.f64 (/.f64 -1728/707281 x) (/.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 -1728/707281 x) (/.f64 746496/17249876309 (*.f64 x 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 -1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (-.f64 (/.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 746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)) (/.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 (/.f64 -746496/17249876309 (*.f64 x x)) (-.f64 (-.f64 (/.f64 -1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))))
(+.f64 (.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (+.f64 (.f64 707281/11664 (.f64 x x)) 16/841)) 4/29) (.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (+.f64 (.f64 707281/11664 (.f64 x x)) 16/841)) (*.f64 x -841/108)))
(.f64 (.f64 707281/11664 (.f64 x x)) (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 707281/11664 (.f64 x x) 16/841)))
(.f64 (.f64 x (.f64 x 707281/11664)) (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 707281/11664 (.f64 x x) 16/841)))
(+.f64 (.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (+.f64 (.f64 707281/11664 (.f64 x x)) 16/841)) (.f64 x -841/108)) (.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (+.f64 (.f64 707281/11664 (*.f64 x x)) 16/841)) 4/29))
(.f64 (.f64 707281/11664 (.f64 x x)) (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 707281/11664 (.f64 x x) 16/841)))
(.f64 (.f64 x (.f64 x 707281/11664)) (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 707281/11664 (.f64 x x) 16/841)))
(+.f64 (.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) 16/841) (.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (.f64 x (+.f64 (.f64 707281/11664 x) -29/27))))
(.f64 (.f64 707281/11664 (.f64 x x)) (/.f64 (+.f64 16/841 (.f64 x (fma.f64 707281/11664 x -29/27))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))))
(/.f64 (.f64 x (.f64 x 707281/11664)) (/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841)))
(+.f64 (.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (.f64 x (+.f64 (.f64 707281/11664 x) -29/27))) (.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) 16/841))
(.f64 (.f64 707281/11664 (.f64 x x)) (/.f64 (+.f64 16/841 (.f64 x (fma.f64 707281/11664 x -29/27))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))))
(/.f64 (.f64 x (.f64 x 707281/11664)) (/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841)))
(+.f64 (.f64 4/29 (/.f64 (.f64 707281/11664 (.f64 x x)) (+.f64 (.f64 707281/11664 (.f64 x x)) 16/841))) (.f64 (.f64 x -841/108) (/.f64 (.f64 707281/11664 (.f64 x x)) (+.f64 (.f64 707281/11664 (*.f64 x x)) 16/841))))
(.f64 (.f64 707281/11664 (.f64 x x)) (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 707281/11664 (.f64 x x) 16/841)))
(.f64 (.f64 x (.f64 x 707281/11664)) (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 707281/11664 (.f64 x x) 16/841)))
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(+.f64 (.f64 (/.f64 16/841 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (.f64 x (+.f64 (.f64 707281/11664 x) -29/27))) (.f64 (/.f64 16/841 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) 16/841))
(/.f64 (.f64 16/841 (+.f64 16/841 (.f64 x (fma.f64 707281/11664 x -29/27)))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)))
(*.f64 16/841 (/.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))
(+.f64 (.f64 4/29 (/.f64 16/841 (+.f64 (.f64 707281/11664 (.f64 x x)) 16/841))) (.f64 (.f64 x -841/108) (/.f64 16/841 (+.f64 (.f64 707281/11664 (*.f64 x x)) 16/841))))
(.f64 16/841 (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 707281/11664 (.f64 x x) 16/841)))
(/.f64 (+.f64 (.f64 x -4/27) 64/24389) (fma.f64 707281/11664 (.f64 x x) 16/841))
(/.f64 (+.f64 64/24389 (.f64 x -4/27)) (fma.f64 707281/11664 (.f64 x x) 16/841))
(+.f64 (.f64 (.f64 x -841/108) (/.f64 16/841 (+.f64 (.f64 707281/11664 (.f64 x x)) 16/841))) (.f64 4/29 (/.f64 16/841 (+.f64 (.f64 707281/11664 (*.f64 x x)) 16/841))))
(.f64 16/841 (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 707281/11664 (.f64 x x) 16/841)))
(/.f64 (+.f64 (.f64 x -4/27) 64/24389) (fma.f64 707281/11664 (.f64 x x) 16/841))
(/.f64 (+.f64 64/24389 (.f64 x -4/27)) (fma.f64 707281/11664 (.f64 x x) 16/841))
(+.f64 (.f64 16/841 (/.f64 16/841 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (.f64 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27)) (/.f64 16/841 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))))
(/.f64 (.f64 16/841 (+.f64 16/841 (.f64 x (fma.f64 707281/11664 x -29/27)))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)))
(*.f64 16/841 (/.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))
(+.f64 (.f64 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27)) (/.f64 16/841 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (.f64 16/841 (/.f64 16/841 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))))
(/.f64 (.f64 16/841 (+.f64 16/841 (.f64 x (fma.f64 707281/11664 x -29/27)))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)))
(*.f64 16/841 (/.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) 1)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(*.f64 16/841 (/.f64 1 (fma.f64 x -841/108 4/29)))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(.f64 16/841 (/.f64 (fma.f64 x -841/108 4/29) (+.f64 (.f64 707281/11664 (*.f64 x x)) 16/841)))
(.f64 16/841 (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 707281/11664 (.f64 x x) 16/841)))
(/.f64 (+.f64 (.f64 x -4/27) 64/24389) (fma.f64 707281/11664 (.f64 x x) 16/841))
(/.f64 (+.f64 64/24389 (.f64 x -4/27)) (fma.f64 707281/11664 (.f64 x x) 16/841))
(.f64 16/841 (/.f64 (+.f64 16/841 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27))) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))))
(/.f64 (.f64 16/841 (+.f64 16/841 (.f64 x (fma.f64 707281/11664 x -29/27)))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)))
(*.f64 16/841 (/.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))
(*.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 1)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(*.f64 1 (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.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))))
(pow.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2)
(*.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (cbrt.f64 (/.f64 256/707281 (pow.f64 (fma.f64 x -841/108 4/29) 2))))
(*.f64 (cbrt.f64 (/.f64 256/707281 (pow.f64 (fma.f64 x -841/108 4/29) 2))) (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(*.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (cbrt.f64 (/.f64 256/707281 (pow.f64 (fma.f64 x -841/108 4/29) 2))))
(*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) 16/841)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(.f64 -16/841 (/.f64 1 (+.f64 (.f64 x -841/108) -4/29)))
(/.f64 -16/841 (fma.f64 x -841/108 -4/29))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))))
(pow.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 16/841 (cbrt.f64 (fma.f64 x -841/108 4/29))))
(/.f64 (/.f64 16/841 (cbrt.f64 (fma.f64 x -841/108 4/29))) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))
(.f64 (/.f64 16/841 (+.f64 (.f64 707281/11664 (*.f64 x x)) 16/841)) (fma.f64 x -841/108 4/29))
(.f64 16/841 (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 707281/11664 (.f64 x x) 16/841)))
(/.f64 (+.f64 (.f64 x -4/27) 64/24389) (fma.f64 707281/11664 (.f64 x x) 16/841))
(/.f64 (+.f64 64/24389 (.f64 x -4/27)) (fma.f64 707281/11664 (.f64 x x) 16/841))
(.f64 (/.f64 16/841 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27))))
(/.f64 (.f64 16/841 (+.f64 16/841 (.f64 x (fma.f64 707281/11664 x -29/27)))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)))
(*.f64 16/841 (/.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))
(.f64 (/.f64 1 (+.f64 (.f64 707281/11664 (.f64 x x)) 16/841)) (.f64 16/841 (fma.f64 x -841/108 4/29)))
(.f64 16/841 (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 707281/11664 (.f64 x x) 16/841)))
(/.f64 (+.f64 (.f64 x -4/27) 64/24389) (fma.f64 707281/11664 (.f64 x x) 16/841))
(/.f64 (+.f64 64/24389 (.f64 x -4/27)) (fma.f64 707281/11664 (.f64 x x) 16/841))
(.f64 (/.f64 1 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (+.f64 256/707281 (.f64 16/841 (.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)))))
(/.f64 (.f64 16/841 (+.f64 16/841 (.f64 x (fma.f64 707281/11664 x -29/27)))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)))
(*.f64 16/841 (/.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))
(.f64 (/.f64 1 (+.f64 (.f64 x -841/108) -4/29)) -16/841)
(/.f64 -16/841 (fma.f64 x -841/108 -4/29))
(.f64 (/.f64 16/841 (+.f64 -16/841 (.f64 707281/11664 (.f64 x x)))) (+.f64 (.f64 x -841/108) -4/29))
(.f64 (fma.f64 x -841/108 -4/29) (/.f64 16/841 (fma.f64 707281/11664 (.f64 x x) -16/841)))
(/.f64 (+.f64 -64/24389 (.f64 x -4/27)) (fma.f64 707281/11664 (.f64 x x) -16/841))
(.f64 (/.f64 16/841 (+.f64 -64/24389 (neg.f64 (.f64 -594823321/1259712 (pow.f64 x 3))))) (neg.f64 (+.f64 16/841 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27)))))
(.f64 (+.f64 -16/841 (neg.f64 (.f64 x (fma.f64 707281/11664 x -29/27)))) (/.f64 16/841 (+.f64 -64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))
(*.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841) (/.f64 -16/841 (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)))
(.f64 (/.f64 16/841 (-.f64 (.f64 707281/11664 (.f64 x x)) 16/841)) (-.f64 (.f64 x -841/108) 4/29))
(.f64 (fma.f64 x -841/108 -4/29) (/.f64 16/841 (fma.f64 707281/11664 (.f64 x x) -16/841)))
(/.f64 (+.f64 -64/24389 (.f64 x -4/27)) (fma.f64 707281/11664 (.f64 x x) -16/841))
(.f64 (/.f64 -16/841 (+.f64 -16/841 (.f64 707281/11664 (*.f64 x x)))) (fma.f64 x -841/108 4/29))
(.f64 (fma.f64 x -841/108 4/29) (/.f64 -16/841 (fma.f64 707281/11664 (.f64 x x) -16/841)))
(.f64 (/.f64 -16/841 (+.f64 -64/24389 (neg.f64 (.f64 -594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27))))
(.f64 (+.f64 -16/841 (neg.f64 (.f64 x (fma.f64 707281/11664 x -29/27)))) (/.f64 16/841 (+.f64 -64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))
(*.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841) (/.f64 -16/841 (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)))
(.f64 (/.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27)))))
(/.f64 (.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (+.f64 16/841 (.f64 x (fma.f64 707281/11664 x -29/27))))) (sqrt.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841)) (/.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389))))
(.f64 (/.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) 16/841))) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (/.f64 16/841 (.f64 (sqrt.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (fma.f64 x -841/108 4/29)))))
(/.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (sqrt.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))) (cbrt.f64 (+.f64 16/841 (.f64 x (+.f64 (.f64 707281/11664 x) -29/27)))))
(/.f64 (.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (+.f64 16/841 (.f64 x (fma.f64 707281/11664 x -29/27))))) (cbrt.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841)) (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389))))
(.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) 16/841))) (cbrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (fma.f64 x -841/108 4/29))) (cbrt.f64 (fma.f64 707281/11664 (.f64 x x) 16/841)))
(/.f64 (.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 16/841) (.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841))))
(pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 1)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(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)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(pow.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 3) 1/3)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 841/16) -1)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(sqrt.f64 (/.f64 256/707281 (pow.f64 (fma.f64 x -841/108 4/29) 2)))
(log.f64 (exp.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(/.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)))))
(/.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))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(expm1.f64 (log1p.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(exp.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(/.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))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(log1p.f64 (expm1.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 1)
(*.f64 x -841/108)
(pow.f64 (.f64 707281/11664 (.f64 x x)) 1/2)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(sqrt.f64 (.f64 x (.f64 x 707281/11664)))
(pow.f64 (*.f64 x -841/108) 1)
(*.f64 x -841/108)
(pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2)
(*.f64 x -841/108)
(pow.f64 (cbrt.f64 (*.f64 x -841/108)) 3)
(*.f64 x -841/108)
(pow.f64 (*.f64 -594823321/1259712 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -594823321/1259712))
(neg.f64 (*.f64 x -841/108))
(*.f64 x 841/108)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(sqrt.f64 (.f64 x (.f64 x 707281/11664)))
(fabs.f64 (*.f64 x -841/108))
(*.f64 x -841/108)
(log.f64 (pow.f64 (exp.f64 x) -841/108))
(*.f64 x -841/108)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -841/108))))
(*.f64 x -841/108)
(cbrt.f64 (*.f64 -594823321/1259712 (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) -594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 x -841/108)))
(*.f64 x -841/108)
(exp.f64 (log.f64 (*.f64 x -841/108)))
(*.f64 x -841/108)
(exp.f64 (.f64 (log.f64 (.f64 x -841/108)) 1))
(*.f64 x -841/108)
(log1p.f64 (expm1.f64 (*.f64 x -841/108)))
(*.f64 x -841/108)
(-.f64 (exp.f64 (log1p.f64 (*.f64 707281/11664 x))) 1)
(*.f64 x 707281/11664)
(pow.f64 (*.f64 707281/11664 x) 1)
(*.f64 x 707281/11664)
(pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2)
(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)
(sqrt.f64 (pow.f64 (*.f64 707281/11664 x) 2))
(sqrt.f64 (pow.f64 (*.f64 x 707281/11664) 2))
(fabs.f64 (*.f64 x 707281/11664))
(log.f64 (pow.f64 (exp.f64 x) 707281/11664))
(*.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)
(exp.f64 (.f64 (log.f64 (.f64 707281/11664 x)) 1))
(*.f64 x 707281/11664)
(log1p.f64 (expm1.f64 (*.f64 707281/11664 x)))
(*.f64 x 707281/11664)

localize15.0ms (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))
	0.2b	(*.f64 841/108 x)
✓	0.6b	(cbrt.f64 (*.f64 841/108 x))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)

Compiler

Compiled 32 to 27 computations (15.6% saved)

series5.0ms (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	(cbrt.f64 (*.f64 841/108 x))
0.0ms	x	@	-inf	(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))

rewrite100.0ms (1.3%)

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

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

simplify118.0ms (1.5%)

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

eval531.0ms (6.8%)

Compiler: Compiled 23020 to 17936 computations (22.1% saved)

prune184.0ms (2.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	973	5	978
Fresh	3	2	5
Picked	1	0	1
Done	2	2	4
Total	979	9	988

Error

Counts

988 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.3b	(/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))
▶	16.4b	(/.f64 (-.f64 16/841 (.f64 707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
▶	31.5b	(/.f64 1 (/.f64 108/841 x))
	0.4b	(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 -841/108 x))) (.f64 (/.f64 (*.f64 707281/11664 x) (fma.f64 x -841/108 4/29)) x))
▶	0.3b	(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 -841/108 x))) (.f64 707281/11664 (*.f64 x (/.f64 x (fma.f64 x -841/108 4/29)))))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	16.4b	(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
✓	31.4b	(*.f64 841/108 x)
	32.3b	4/29

Compiler

Compiled 192 to 154 computations (19.8% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 50 computations (25.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite82.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1172×	`associate-*r/`
1016×	`*-commutative`
834×	`associate-/r*`
734×	`associate-*l/`
660×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	231	48
2	2750	48

Stop Event

1×	node limit

Counts

2 → 196

Calls

Call 1

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

Outputs

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

simplify116.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

938×	`associate-/l/`
686×	`times-frac`
636×	`distribute-rgt-in`
636×	`distribute-lft-in`
572×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	522	7004
1	1368	6932
2	5140	6928

Stop Event

1×	node limit

Counts

220 → 343

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

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	@	inf	(/.f64 108/841 x)
0.0ms	x	@	-inf	(/.f64 108/841 x)
0.0ms	x	@	0	(/.f64 1 (/.f64 108/841 x))
0.0ms	x	@	inf	(/.f64 1 (/.f64 108/841 x))

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)))))))

simplify50.0ms (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)

localize15.0ms (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 841/108 x)
✓	15.3b	(/.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 16/841 (.f64 707281/11664 (.f64 x x)))

rewrite80.0ms (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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 4/29 (*.f64 x -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 (/.f64 x 11664/707281) (/.f64 x (+.f64 4/29 (*.f64 x -841/108)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 25/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 33/29 (*.f64 x 841/108)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x 841/108)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)) (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4/29 (*.f64 x 841/108)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 4/29 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x 841/108))) (sqrt.f64 (+.f64 4/29 (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))) 2) (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -16/841 (*.f64 707281/11664 (*.f64 x x))) (/.f64 -1 (+.f64 4/29 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 4/29 (*.f64 x 841/108)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x 841/108))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 4/29 (*.f64 x 841/108)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 4/29 (*.f64 x 841/108))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)) (+.f64 -4/29 (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x 841/108)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 4/29 (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 4/29 (*.f64 x 841/108)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x 841/108)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 33/29 (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 4/29 (*.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 log1p.f64 (expm1.f64 (+.f64 4/29 (*.f64 x 841/108))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 16/841 (*.f64 (*.f64 (*.f64 x x) -707281/11664) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) -707281/11664) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) -707281/11664) 1) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 16/841 (exp.f64 (log1p.f64 (*.f64 707281/11664 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))) (pow.f64 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x x) -707281/11664))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 857/841 (*.f64 (*.f64 x x) -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))))))))

simplify83.0ms (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
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(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (cbrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)))) (cbrt.f64 (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -707281/11664) 16/841)) 2) (/.f64 (cbrt.f64 (+.f64 256/707281 (fma.f64 (.f64 x x) 841/729 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) (cbrt.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321))))
(/.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 (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -707281/11664) 16/841)) 2) (/.f64 (cbrt.f64 (fma.f64 707281/11664 (.f64 x x) 16/841)) (cbrt.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -707281/11664) 16/841)) 2) (/.f64 (cbrt.f64 (fma.f64 (.f64 x 707281/11664) x 16/841)) (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 707281/11664 (.f64 x x))))) (+.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 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) (/.f64 1 (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 65536/500246412961 (.f64 (pow.f64 x 8) -250246473680347348787521/18509302102818816)) (fma.f64 707281/11664 (.f64 x x) 16/841)) (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281))
(/.f64 (/.f64 (+.f64 65536/500246412961 (.f64 (pow.f64 x 8) -250246473680347348787521/18509302102818816)) (fma.f64 (.f64 x 707281/11664) x 16/841)) (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281))
(/.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 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 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281))) (/.f64 1 (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))))
(/.f64 (/.f64 (-.f64 16777216/353814783205469041 (pow.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 3)) (fma.f64 707281/11664 (.f64 x x) 16/841)) (+.f64 65536/500246412961 (fma.f64 (pow.f64 x 8) 250246473680347348787521/18509302102818816 (*.f64 (pow.f64 x 4) 707281/531441))))
(/.f64 (/.f64 (-.f64 16777216/353814783205469041 (pow.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 3)) (fma.f64 (.f64 x 707281/11664) x 16/841)) (+.f64 65536/500246412961 (fma.f64 (pow.f64 x 8) 250246473680347348787521/18509302102818816 (*.f64 (pow.f64 x 4) 707281/531441))))
(/.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 16777216/353814783205469041 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 125184900814733057351483732809459681/2518170116818978404827136)) (/.f64 (+.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 16777216/353814783205469041 (pow.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 3)) (.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 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 68719476736/210457284365172120330305161 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 3)) (/.f64 (+.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 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)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
✓	0.2b	(*.f64 x -707281/11664)
✓	0.2b	(*.f64 x -841/108)
✓	15.3b	(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))

Compiler

Compiled 52 to 40 computations (23.1% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite105.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	332	70
2	4177	70

Stop Event

1×	node limit

Counts

4 → 218

Calls

Call 1

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

Outputs
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simplify110.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1080×	`associate-/l*`
870×	`associate-r`
764×	`associate-l`
570×	`*-commutative`
564×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	607	12282
1	1739	9944

Stop Event

1×	node limit

Counts

266 → 337

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 841/108 x) (*.f64 841/108 x)) 16/841)
	0.2b	(*.f64 841/108 x)
✓	0.3b	(.f64 (.f64 841/108 x) (*.f64 841/108 x))
✓	15.3b	(/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))

Compiler

Compiled 44 to 34 computations (22.7% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite126.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`associate-/r/`
862×	`associate-/l/`
672×	`distribute-rgt-in`
622×	`distribute-lft-in`
298×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	261	37
2	3559	37

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 841/108 x -4/29)) x) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 841/108 x -4/29)) x) (*.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (*.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 841/108 x -4/29)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) -16/841) (*.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 841/108 x -4/29)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 707281/11664 (*.f64 x x) -16/841)) (*.f64 841/108 x)) (*.f64 (/.f64 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simplify110.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1378×	`associate-r`
1190×	`associate-l`
860×	`times-frac`
768×	`associate-/l*`
680×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	447	7850
1	1339	7098

Stop Event

1×	node limit

Counts

208 → 250

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 (*.f64 841/108 x) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 841/108 x -4/29)) x) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
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(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)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664)))) 1)
(pow.f64 (*.f64 841/108 x) 2)
(pow.f64 (.f64 x (.f64 x 707281/11664)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 3)
(pow.f64 (pow.f64 (*.f64 841/108 x) 6) 1/3)
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 4))
(log.f64 (pow.f64 (exp.f64 707281/11664) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 707281/11664)))))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 6))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664))))
(exp.f64 (.f64 (log.f64 (.f64 841/108 x)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 841/108 x)) 2) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 707281/11664))))
(+.f64 (.f64 x (.f64 x 707281/11664)) -16/841)
(+.f64 -16/841 (.f64 x (.f64 x 707281/11664)))
(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) 1)
(.f64 1 (fma.f64 707281/11664 (.f64 x x) -16/841))
(.f64 (sqrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) (sqrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(.f64 (sqrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)))))
(.f64 (cbrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) (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) (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) (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)))))
(.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) -256/707281) (/.f64 1 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321) (/.f64 1 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841)))))
(.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (neg.f64 (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664)))))
(.f64 (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))) (neg.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))))
(.f64 -1 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664)))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841))) (neg.f64 (sqrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) 2)) (neg.f64 (cbrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841))))
(.f64 (/.f64 1 (fma.f64 707281/11664 (.f64 x x) 16/841)) (+.f64 (pow.f64 (*.f64 841/108 x) 4) -256/707281))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841)))) (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) -256/707281) (+.f64 (pow.f64 (.f64 841/108 x) 4) -256/707281)) (fma.f64 707281/11664 (.f64 x x) -16/841))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) -256/707281) (+.f64 4096/594823321 (pow.f64 (.f64 841/108 x) 6))) (+.f64 (pow.f64 (.f64 841/108 x) 4) (-.f64 256/707281 (.f64 (.f64 x (*.f64 x 707281/11664)) 16/841))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321) (-.f64 (.f64 (pow.f64 (.f64 841/108 x) 4) (pow.f64 (.f64 841/108 x) 4)) (.f64 (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841)) (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841))))) (-.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321) (+.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 4) 3) (pow.f64 (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841)) 3))) (+.f64 (.f64 (pow.f64 (.f64 841/108 x) 4) (pow.f64 (.f64 841/108 x) 4)) (.f64 (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841)) (-.f64 (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841)) (pow.f64 (*.f64 841/108 x) 4)))))
(.f64 (neg.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664))))
(.f64 (neg.f64 (.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 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)))) (sqrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) 2))) (cbrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) 1)
(/.f64 1 (/.f64 1 (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(/.f64 1 (/.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (+.f64 (pow.f64 (.f64 841/108 x) 4) -256/707281)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841))) (+.f64 (pow.f64 (*.f64 841/108 x) 6) -4096/594823321)))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) -256/707281) (fma.f64 707281/11664 (.f64 x x) 16/841))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321) (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (*.f64 x 707281/11664)) 16/841))))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321) (+.f64 (pow.f64 (.f64 841/108 x) 4) (-.f64 256/707281 (.f64 (.f64 x (*.f64 x 707281/11664)) -16/841))))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321) (.f64 1 (+.f64 (pow.f64 (.f64 841/108 x) 4) (-.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) -16/841)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) -256/707281)) (neg.f64 (fma.f64 707281/11664 (.f64 x x) 16/841)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321)) (neg.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (*.f64 x 707281/11664)) 16/841)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 841/108 x) 6) (pow.f64 (.f64 841/108 x) 6)) 16777216/353814783205469041) (.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841))) (+.f64 4096/594823321 (pow.f64 (*.f64 841/108 x) 6))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 841/108 x) 6) (pow.f64 (.f64 841/108 x) 6)) 16777216/353814783205469041) (.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (-.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) -16/841))) (+.f64 4096/594823321 (pow.f64 (*.f64 841/108 x) 6))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 841/108 x) 4) (pow.f64 (.f64 841/108 x) 4)) 65536/500246412961) (.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (+.f64 (pow.f64 (.f64 841/108 x) 4) 256/707281)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 6) 3) 68719476736/210457284365172120330305161) (.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841))) (+.f64 (.f64 (pow.f64 (.f64 841/108 x) 6) (pow.f64 (.f64 841/108 x) 6)) (+.f64 16777216/353814783205469041 (.f64 (pow.f64 (*.f64 841/108 x) 6) 4096/594823321)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 6) 3) 68719476736/210457284365172120330305161) (.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (-.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) -16/841))) (+.f64 (.f64 (pow.f64 (.f64 841/108 x) 6) (pow.f64 (.f64 841/108 x) 6)) (+.f64 16777216/353814783205469041 (.f64 (pow.f64 (*.f64 841/108 x) 6) 4096/594823321)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 4) 3) 16777216/353814783205469041) (.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (+.f64 (.f64 (pow.f64 (.f64 841/108 x) 4) (pow.f64 (.f64 841/108 x) 4)) (+.f64 65536/500246412961 (.f64 (pow.f64 (.f64 841/108 x) 4) 256/707281)))))
(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)
(neg.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))
(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)))
(exp.f64 (.f64 (log.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) 1))
(log1p.f64 (expm1.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(fma.f64 841/108 (.f64 x (.f64 841/108 x)) -16/841)
(fma.f64 (.f64 841/108 x) (.f64 841/108 x) -16/841)
(fma.f64 1 (.f64 x (.f64 x 707281/11664)) -16/841)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 841/108 x) 4)) (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 (*.f64 x 707281/11664) x -16/841)

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
-16/841
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 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 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 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 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 (.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 841/108 x -4/29)) x) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) 707281/11664)) 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 x 707281/11664) (fma.f64 841/108 x -4/29)) x) (*.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) -16/841))
(fma.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) 707281/11664)) 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 (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 841/108 x -4/29)) x))
(fma.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) 707281/11664)) 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 1 (fma.f64 841/108 x -4/29)) -16/841) (.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 841/108 x -4/29)) x))
(fma.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) 707281/11664)) 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 (fma.f64 707281/11664 (.f64 x x) -16/841) (fma.f64 707281/11664 (.f64 x x) -16/841)) (.f64 841/108 x)) (.f64 (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (fma.f64 707281/11664 (*.f64 x x) -16/841)) 4/29))
(fma.f64 841/108 x 4/29)
(+.f64 (.f64 (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (fma.f64 707281/11664 (.f64 x x) -16/841)) 4/29) (.f64 (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (fma.f64 707281/11664 (.f64 x x) -16/841)) (*.f64 841/108 x)))
(fma.f64 841/108 x 4/29)
(+.f64 (.f64 (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (fma.f64 707281/11664 (.f64 x x) -16/841)) (.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 841/108 x -4/29)) x)) (.f64 (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (fma.f64 707281/11664 (.f64 x x) -16/841)) (neg.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) 707281/11664)) 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 (fma.f64 707281/11664 (.f64 x x) -16/841) (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (.f64 x (.f64 x 707281/11664))) (.f64 (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (+.f64 16/841 (*.f64 x 29/27))))
(.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)) (+.f64 (+.f64 16/841 (.f64 x 29/27)) (.f64 x (*.f64 x 707281/11664))))
(/.f64 (.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (+.f64 (.f64 x 29/27) (fma.f64 707281/11664 (.f64 x x) 16/841))) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389))
(+.f64 (.f64 (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (+.f64 16/841 (.f64 x 29/27))) (.f64 (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (.f64 x (*.f64 x 707281/11664))))
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(/.f64 (-.f64 256/707281 (pow.f64 (.f64 841/108 x) 4)) (+.f64 (.f64 x (*.f64 x -707281/11664)) -16/841))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321)) (neg.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (*.f64 x 707281/11664)) 16/841)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 841/108 x) 6)) 4096/594823321) (neg.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 x (.f64 (*.f64 x 707281/11664) 16/841))))))
(/.f64 (-.f64 4096/594823321 (pow.f64 (.f64 841/108 x) 6)) (-.f64 (+.f64 -256/707281 (.f64 x (.f64 x -841/729))) (pow.f64 (.f64 841/108 x) 4)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 841/108 x) 6) (pow.f64 (.f64 841/108 x) 6)) 16777216/353814783205469041) (.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841))) (+.f64 4096/594823321 (pow.f64 (*.f64 841/108 x) 6))))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 12) -16777216/353814783205469041) (.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 x (.f64 (.f64 x 707281/11664) 16/841)))) (+.f64 (pow.f64 (*.f64 841/108 x) 6) 4096/594823321)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 12) -16777216/353814783205469041) (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 x (.f64 x 841/729))))) (+.f64 (pow.f64 (*.f64 841/108 x) 6) 4096/594823321))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 841/108 x) 6) (pow.f64 (.f64 841/108 x) 6)) 16777216/353814783205469041) (.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (-.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) -16/841))) (+.f64 4096/594823321 (pow.f64 (*.f64 841/108 x) 6))))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 12) -16777216/353814783205469041) (.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 x (.f64 (.f64 x 707281/11664) 16/841)))) (+.f64 (pow.f64 (*.f64 841/108 x) 6) 4096/594823321)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 12) -16777216/353814783205469041) (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 x (.f64 x 841/729))))) (+.f64 (pow.f64 (*.f64 841/108 x) 6) 4096/594823321))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 841/108 x) 4) (pow.f64 (.f64 841/108 x) 4)) 65536/500246412961) (.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (+.f64 (pow.f64 (.f64 841/108 x) 4) 256/707281)))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 8) -65536/500246412961) (.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (+.f64 (pow.f64 (.f64 841/108 x) 4) 256/707281)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 6) 3) 68719476736/210457284365172120330305161) (.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841))) (+.f64 (.f64 (pow.f64 (.f64 841/108 x) 6) (pow.f64 (.f64 841/108 x) 6)) (+.f64 16777216/353814783205469041 (.f64 (pow.f64 (*.f64 841/108 x) 6) 4096/594823321)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 6) 3) -68719476736/210457284365172120330305161) (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 x (.f64 (.f64 x 707281/11664) 16/841))))) (+.f64 (+.f64 (pow.f64 (.f64 841/108 x) 12) 16777216/353814783205469041) (.f64 (pow.f64 (.f64 841/108 x) 6) 4096/594823321)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 6) 3) -68719476736/210457284365172120330305161) (.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 x (.f64 x 841/729)))) (+.f64 (pow.f64 (.f64 841/108 x) 12) (+.f64 16777216/353814783205469041 (.f64 (pow.f64 (.f64 841/108 x) 6) 4096/594823321)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 6) 3) 68719476736/210457284365172120330305161) (.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (-.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) -16/841))) (+.f64 (.f64 (pow.f64 (.f64 841/108 x) 6) (pow.f64 (.f64 841/108 x) 6)) (+.f64 16777216/353814783205469041 (.f64 (pow.f64 (*.f64 841/108 x) 6) 4096/594823321)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 6) 3) -68719476736/210457284365172120330305161) (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 x (.f64 (.f64 x 707281/11664) 16/841))))) (+.f64 (+.f64 (pow.f64 (.f64 841/108 x) 12) 16777216/353814783205469041) (.f64 (pow.f64 (.f64 841/108 x) 6) 4096/594823321)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 6) 3) -68719476736/210457284365172120330305161) (.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 x (.f64 x 841/729)))) (+.f64 (pow.f64 (.f64 841/108 x) 12) (+.f64 16777216/353814783205469041 (.f64 (pow.f64 (.f64 841/108 x) 6) 4096/594823321)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 4) 3) 16777216/353814783205469041) (.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (+.f64 (.f64 (pow.f64 (.f64 841/108 x) 4) (pow.f64 (.f64 841/108 x) 4)) (+.f64 65536/500246412961 (.f64 (pow.f64 (.f64 841/108 x) 4) 256/707281)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 4) 3) -16777216/353814783205469041) (.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (+.f64 (+.f64 (pow.f64 (.f64 841/108 x) 8) 65536/500246412961) (.f64 (pow.f64 (.f64 841/108 x) 4) 256/707281))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 4) 3) -16777216/353814783205469041) (.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (+.f64 (pow.f64 (.f64 841/108 x) 8) (+.f64 65536/500246412961 (.f64 (pow.f64 (.f64 841/108 x) 4) 256/707281)))))
(pow.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) 1)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(pow.f64 (sqrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) 2)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(pow.f64 (cbrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) 3)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(pow.f64 (pow.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) 3) 1/3)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(neg.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(sqrt.f64 (pow.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 2))
(log.f64 (exp.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841))))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(cbrt.f64 (pow.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) 3))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(expm1.f64 (log1p.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(exp.f64 (log.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(exp.f64 (.f64 (log.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) 1))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(log1p.f64 (expm1.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 841/108 (.f64 x (.f64 841/108 x)) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 (.f64 841/108 x) (.f64 841/108 x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 1 (.f64 x (.f64 x 707281/11664)) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 841/108 x) 4)) (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 (*.f64 x 707281/11664) x -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)

eval801.0ms (10.2%)

Compiler: Compiled 32126 to 24846 computations (22.7% saved)

prune347.0ms (4.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1343	4	1347
Fresh	1	1	2
Picked	0	1	1
Done	3	3	6
Total	1347	9	1356

Error

Counts

1356 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.3b	(/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))
▶	16.4b	(/.f64 (-.f64 (.f64 x (.f64 x 707281/11664)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
▶	47.6b	(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
✓	31.5b	(/.f64 1 (/.f64 108/841 x))
▶	0.2b	(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (/.f64 x (/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) x)))
▶	0.3b	(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 -841/108 x))) (.f64 707281/11664 (neg.f64 (.f64 (/.f64 x (+.f64 (.f64 x 841/108) -4/29)) x))))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	31.4b	(*.f64 841/108 x)
	32.3b	4/29

Compiler

Compiled 98 to 78 computations (20.4% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 89 to 68 computations (23.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite93.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`associate-*l/`
1224×	`associate-/r*`
920×	`associate-/l*`
576×	`associate-/r/`
282×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	286	48
2	3696	48

Stop Event

1×	node limit

Counts

2 → 303

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 707281/11664 (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 841/108 (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 841/108 (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 841/108) (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 707281/11664 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x 841/108)) (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 (sqrt.f64 (*.f64 x 841/108)) (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 (cbrt.f64 (*.f64 x 841/108)) (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x 841/108 -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 841/108) (sqrt.f64 (*.f64 x 841/108))) (/.f64 (fma.f64 x 841/108 -4/29) (sqrt.f64 (*.f64 x 841/108))))))) (#(struct:change #<rule 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-4/29) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))))))

simplify125.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1534×	`times-frac`
1284×	`associate-/r*`
940×	`associate-r`
904×	`associate-/r/`
678×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	744	11607
1	2057	11405

Stop Event

1×	node limit

Counts

327 → 466

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 -29/4 (pow.f64 x 2))
(+.f64 (.f64 -707281/1728 (pow.f64 x 3)) (.f64 -29/4 (pow.f64 x 2)))
(+.f64 (.f64 -17249876309/746496 (pow.f64 x 4)) (+.f64 (.f64 -707281/1728 (pow.f64 x 3)) (*.f64 -29/4 (pow.f64 x 2))))
(+.f64 (.f64 -17249876309/746496 (pow.f64 x 4)) (+.f64 (.f64 -707281/1728 (pow.f64 x 3)) (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 5)) (.f64 -29/4 (pow.f64 x 2)))))
(*.f64 108/841 x)
(+.f64 46656/20511149 (*.f64 108/841 x))
(+.f64 (.f64 20155392/500246412961 (/.f64 1 x)) (+.f64 46656/20511149 (.f64 108/841 x)))
(+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 20155392/500246412961 (/.f64 1 x)) (+.f64 46656/20511149 (*.f64 108/841 x))))
(*.f64 108/841 x)
(+.f64 46656/20511149 (*.f64 108/841 x))
(+.f64 (.f64 20155392/500246412961 (/.f64 1 x)) (+.f64 46656/20511149 (.f64 108/841 x)))
(+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 20155392/500246412961 (/.f64 1 x)) (+.f64 46656/20511149 (*.f64 108/841 x))))
(+.f64 0 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))))) 1)
(-.f64 0 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))) 1)
(/.f64 707281/11664 (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x x)))
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) (.f64 841/108 (.f64 x 841/108))))
(/.f64 841/108 (/.f64 (fma.f64 x 841/108 -4/29) (.f64 x (.f64 x 841/108))))
(/.f64 (.f64 x 841/108) (/.f64 (fma.f64 x 841/108 -4/29) (.f64 x 841/108)))
(/.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 1)
(/.f64 1 (/.f64 (fma.f64 x 841/108 -4/29) (.f64 707281/11664 (.f64 x x))))
(/.f64 (sqrt.f64 (.f64 x 841/108)) (/.f64 (fma.f64 x 841/108 -4/29) (.f64 (sqrt.f64 (.f64 x 841/108)) (.f64 x 841/108))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (/.f64 (fma.f64 x 841/108 -4/29) (.f64 (cbrt.f64 (.f64 x 841/108)) (.f64 x 841/108))))
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664))
(/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 x 841/108 -4/29))
(/.f64 (.f64 (.f64 x 841/108) (sqrt.f64 (.f64 x 841/108))) (/.f64 (fma.f64 x 841/108 -4/29) (sqrt.f64 (.f64 x 841/108))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2)) (/.f64 (fma.f64 x 841/108 -4/29) (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2)))
(/.f64 (.f64 (.f64 707281/11664 (*.f64 x x)) 1) (fma.f64 x 841/108 -4/29))
(/.f64 (.f64 (.f64 x 841/108) x) (/.f64 (fma.f64 x 841/108 -4/29) 841/108))
(/.f64 (.f64 (.f64 x 841/108) 841/108) (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (.f64 (.f64 x 841/108) (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2)) (/.f64 (fma.f64 x 841/108 -4/29) (cbrt.f64 (.f64 x 841/108))))
(/.f64 (*.f64 (neg.f64 x) 707281/11664) (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (*.f64 x 707281/11664) (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (.f64 x (.f64 (neg.f64 x) 707281/11664)) (fma.f64 x 841/108 -4/29))
(/.f64 (.f64 1 (.f64 (neg.f64 x) 707281/11664)) (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29))) (.f64 (neg.f64 x) 707281/11664)) (sqrt.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (.f64 (sqrt.f64 x) (.f64 (neg.f64 x) 707281/11664)) (/.f64 (fma.f64 x 841/108 -4/29) (sqrt.f64 x)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (neg.f64 x) 707281/11664)) (/.f64 (fma.f64 x 841/108 -4/29) (cbrt.f64 x)))
(/.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) 707281/11664)) (-.f64 4/29 (*.f64 x 841/108)))
(/.f64 (.f64 -1 (.f64 (neg.f64 x) 707281/11664)) (neg.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)))
(/.f64 (.f64 (/.f64 x 1) (.f64 (neg.f64 x) 707281/11664)) (fma.f64 x 841/108 -4/29))
(/.f64 (.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (.f64 (neg.f64 x) 707281/11664)) (cbrt.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (.f64 (neg.f64 (neg.f64 x)) (.f64 (neg.f64 x) 707281/11664)) (neg.f64 (-.f64 4/29 (*.f64 x 841/108))))
(/.f64 (.f64 (.f64 (neg.f64 x) (neg.f64 x)) 707281/11664) (-.f64 4/29 (*.f64 x 841/108)))
(/.f64 (.f64 (.f64 x (neg.f64 x)) 707281/11664) (fma.f64 x 841/108 -4/29))
(/.f64 (.f64 (.f64 x (neg.f64 x)) 707281/11664) (-.f64 4/29 (*.f64 x 841/108)))
(/.f64 (.f64 (.f64 -1 (*.f64 x x)) 707281/11664) (fma.f64 x 841/108 -4/29))
(/.f64 (.f64 (.f64 (neg.f64 x) x) 707281/11664) (-.f64 4/29 (*.f64 x 841/108)))
(/.f64 (*.f64 (/.f64 x (/.f64 1 x)) 707281/11664) (fma.f64 x 841/108 -4/29))
(/.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) x)) 707281/11664) (sqrt.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) x)) 707281/11664) (cbrt.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) 707281/11664) (fma.f64 x 841/108 -4/29))
(/.f64 (.f64 (neg.f64 (.f64 x x)) 707281/11664) (-.f64 4/29 (*.f64 x 841/108)))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) 707281/11664) (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))
(/.f64 (.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 3)) 707281/11664) (+.f64 (+.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (.f64 0 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))))
(/.f64 (.f64 x (.f64 (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29))) 707281/11664)) (sqrt.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (.f64 (neg.f64 x) (.f64 x 707281/11664)) (fma.f64 x 841/108 -4/29))
(/.f64 (.f64 -1 (.f64 x 707281/11664)) (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (.f64 (neg.f64 (neg.f64 x)) (.f64 x 707281/11664)) (-.f64 4/29 (*.f64 x 841/108)))
(/.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) 1) (fma.f64 x 841/108 -4/29))
(/.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (sqrt.f64 (fma.f64 x 841/108 -4/29))) (sqrt.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (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 x x)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (cbrt.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (/.f64 1 (fma.f64 x 841/108 4/29)))
(/.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (+.f64 -64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (/.f64 1 (+.f64 16/841 (-.f64 (.f64 707281/11664 (.f64 x x)) (.f64 x -29/27)))))
(pow.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 1)
(pow.f64 (*.f64 841/108 (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29)))) 2)
(pow.f64 (cbrt.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))) 3)
(pow.f64 (pow.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 3) 1/3)
(neg.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))
(sqrt.f64 (pow.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 2))
(log.f64 (pow.f64 (exp.f64 707281/11664) (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))))
(cbrt.f64 (pow.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 3))
(expm1.f64 (log1p.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))))
(exp.f64 (log.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))))
(exp.f64 (.f64 (log.f64 (.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))))
(+.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 0)
(+.f64 0 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))) 1)
(-.f64 0 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))) 1)
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) (neg.f64 x)))
(/.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) (/.f64 1 x))
(/.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 1)
(/.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) -1)
(/.f64 1 (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x x)))
(/.f64 1 (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) x) (neg.f64 x)))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29))) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) x))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) x) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 (sqrt.f64 x) x)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) x) (neg.f64 (sqrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 (cbrt.f64 x) x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) x) (neg.f64 (cbrt.f64 x))))
(/.f64 (*.f64 x x) (fma.f64 x 841/108 -4/29))
(/.f64 (/.f64 (neg.f64 x) (fma.f64 x 841/108 -4/29)) (/.f64 1 x))
(/.f64 (neg.f64 x) (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)))
(/.f64 (neg.f64 x) (/.f64 (-.f64 4/29 (*.f64 x 841/108)) x))
(/.f64 -1 (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x x)))
(/.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) x) (sqrt.f64 (neg.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) x) (cbrt.f64 (neg.f64 x))))
(/.f64 (.f64 (neg.f64 x) (neg.f64 x)) (-.f64 4/29 (.f64 x 841/108)))
(/.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (fma.f64 x 841/108 -4/29) (sqrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x 841/108 -4/29) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x 841/108 -4/29) (cbrt.f64 x)))
(/.f64 (.f64 (.f64 x x) 1) (fma.f64 x 841/108 -4/29))
(/.f64 (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29))) x) (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)))
(/.f64 (*.f64 (sqrt.f64 x) x) (/.f64 (fma.f64 x 841/108 -4/29) (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29))) (neg.f64 x)) (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)))
(/.f64 (*.f64 x (neg.f64 x)) (fma.f64 x 841/108 -4/29))
(/.f64 (.f64 x (neg.f64 x)) (-.f64 4/29 (.f64 x 841/108)))
(/.f64 (.f64 -1 (.f64 x x)) (fma.f64 x 841/108 -4/29))
(/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x 841/108 -4/29))
(/.f64 (.f64 (neg.f64 x) x) (-.f64 4/29 (.f64 x 841/108)))
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(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) 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 x (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) 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 x (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) 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 x x)) 1) (fma.f64 x 841/108 -4/29))
(/.f64 (/.f64 (neg.f64 (.f64 x x)) 1) (-.f64 4/29 (.f64 x 841/108)))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (fma.f64 x 841/108 -4/29))) (sqrt.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (/.f64 (neg.f64 (*.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 x x)) (cbrt.f64 (fma.f64 x 841/108 -4/29))) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (cbrt.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (/.f64 (neg.f64 (*.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 x x)) (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841)) (/.f64 1 (fma.f64 x 841/108 4/29)))
(/.f64 (/.f64 (neg.f64 (.f64 x x)) (+.f64 -64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (/.f64 1 (+.f64 16/841 (-.f64 (.f64 707281/11664 (.f64 x x)) (*.f64 x -29/27)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) -1) (fma.f64 x 841/108 -4/29))
(/.f64 (/.f64 (neg.f64 (.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 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 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 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)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) x) (/.f64 x (fma.f64 x 841/108 -4/29)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) x) (/.f64 (neg.f64 x) (fma.f64 x 841/108 -4/29)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 x (fma.f64 x 841/108 -4/29))) x)
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 x (fma.f64 x 841/108 -4/29))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) 1) (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29)))) (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29)))) (neg.f64 (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (/.f64 x (fma.f64 x 841/108 -4/29))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (sqrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29)))) (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29))) x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (sqrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29)))) (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29))) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 2))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (fma.f64 x 841/108 -4/29))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 2)) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) 2))) (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29))) x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) 2))) (/.f64 (neg.f64 x) (cbrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 x x)) (/.f64 1 (fma.f64 x 841/108 -4/29)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 (neg.f64 x) (fma.f64 x 841/108 -4/29))) x)
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (neg.f64 x)) (/.f64 x (fma.f64 x 841/108 -4/29)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) -1) (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 x (sqrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29))))) (sqrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 x (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) 2)))) (cbrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 (/.f64 (neg.f64 x) (fma.f64 x 841/108 -4/29)) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 (/.f64 (neg.f64 x) (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 -1 (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29))))) (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 2))) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 x 1)) (/.f64 x (fma.f64 x 841/108 -4/29)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 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 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 x (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) x))) (fma.f64 x 841/108 4/29))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 (.f64 x x) (+.f64 -64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (+.f64 16/841 (-.f64 (.f64 707281/11664 (.f64 x x)) (*.f64 x -29/27))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (neg.f64 (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29))))) (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 2))) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))
(pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 1)
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 3) 1/3)
(neg.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x 841/108 -4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))
(exp.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 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 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 1728/707281 x) (/.f64 (/.f64 746496/17249876309 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 1728/707281 x) (/.f64 (/.f64 746496/17249876309 x) x)))
(*.f64 -29/4 (pow.f64 x 2))
(.f64 -29/4 (.f64 x x))
(+.f64 (.f64 -707281/1728 (pow.f64 x 3)) (.f64 -29/4 (pow.f64 x 2)))
(fma.f64 -707281/1728 (pow.f64 x 3) (.f64 -29/4 (.f64 x x)))
(fma.f64 (pow.f64 x 3) -707281/1728 (.f64 -29/4 (.f64 x x)))
(+.f64 (.f64 -17249876309/746496 (pow.f64 x 4)) (+.f64 (.f64 -707281/1728 (pow.f64 x 3)) (*.f64 -29/4 (pow.f64 x 2))))
(fma.f64 -17249876309/746496 (pow.f64 x 4) (fma.f64 -707281/1728 (pow.f64 x 3) (.f64 -29/4 (.f64 x x))))
(fma.f64 (pow.f64 x 4) -17249876309/746496 (fma.f64 (pow.f64 x 3) -707281/1728 (.f64 -29/4 (.f64 x x))))
(+.f64 (.f64 -17249876309/746496 (pow.f64 x 4)) (+.f64 (.f64 -707281/1728 (pow.f64 x 3)) (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 5)) (.f64 -29/4 (pow.f64 x 2)))))
(fma.f64 -17249876309/746496 (pow.f64 x 4) (fma.f64 -707281/1728 (pow.f64 x 3) (fma.f64 -420707233300201/322486272 (pow.f64 x 5) (.f64 -29/4 (.f64 x x)))))
(fma.f64 (pow.f64 x 4) -17249876309/746496 (fma.f64 (pow.f64 x 3) -707281/1728 (fma.f64 (pow.f64 x 5) -420707233300201/322486272 (.f64 -29/4 (.f64 x x)))))
(*.f64 108/841 x)
(*.f64 x 108/841)
(+.f64 46656/20511149 (*.f64 108/841 x))
(+.f64 (*.f64 x 108/841) 46656/20511149)
(fma.f64 x 108/841 46656/20511149)
(+.f64 (.f64 20155392/500246412961 (/.f64 1 x)) (+.f64 46656/20511149 (.f64 108/841 x)))
(+.f64 (+.f64 (/.f64 20155392/500246412961 x) 46656/20511149) (*.f64 x 108/841))
(+.f64 (fma.f64 x 108/841 46656/20511149) (/.f64 20155392/500246412961 x))
(+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 20155392/500246412961 (/.f64 1 x)) (+.f64 46656/20511149 (*.f64 108/841 x))))
(+.f64 (+.f64 (+.f64 (/.f64 20155392/500246412961 x) 46656/20511149) (.f64 x 108/841)) (/.f64 8707129344/12200509765705829 (.f64 x x)))
(+.f64 (/.f64 20155392/500246412961 x) (+.f64 (fma.f64 x 108/841 46656/20511149) (/.f64 8707129344/12200509765705829 (*.f64 x x))))
(*.f64 108/841 x)
(*.f64 x 108/841)
(+.f64 46656/20511149 (*.f64 108/841 x))
(+.f64 (*.f64 x 108/841) 46656/20511149)
(fma.f64 x 108/841 46656/20511149)
(+.f64 (.f64 20155392/500246412961 (/.f64 1 x)) (+.f64 46656/20511149 (.f64 108/841 x)))
(+.f64 (+.f64 (/.f64 20155392/500246412961 x) 46656/20511149) (*.f64 x 108/841))
(+.f64 (fma.f64 x 108/841 46656/20511149) (/.f64 20155392/500246412961 x))
(+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 20155392/500246412961 (/.f64 1 x)) (+.f64 46656/20511149 (*.f64 108/841 x))))
(+.f64 (+.f64 (+.f64 (/.f64 20155392/500246412961 x) 46656/20511149) (.f64 x 108/841)) (/.f64 8707129344/12200509765705829 (.f64 x x)))
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(/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 x (/.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) x)))
(neg.f64 (/.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2) (/.f64 (.f64 x x) (+.f64 (*.f64 x -841/108) 4/29))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (neg.f64 x)) (/.f64 x (fma.f64 x 841/108 -4/29)))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 x (/.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) x)))
(neg.f64 (/.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2) (/.f64 (.f64 x x) (+.f64 (*.f64 x -841/108) 4/29))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) -1) (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 x (/.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) x)))
(neg.f64 (/.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2) (/.f64 (.f64 x x) (+.f64 (*.f64 x -841/108) 4/29))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 x (sqrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29))))) (sqrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (.f64 (.f64 x (sqrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29)))) (sqrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29)))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2)) (.f64 x (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29))) (sqrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29))))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 x (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) 2)))) (cbrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (.f64 (.f64 x (cbrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29)))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) 2))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2)) (.f64 x (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 841/108 -4/29))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) 2)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (/.f64 (fma.f64 x 841/108 -4/29) x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2)) (.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (fma.f64 x 841/108 -4/29))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (.f64 (.f64 (cbrt.f64 x) (/.f64 x (fma.f64 x 841/108 -4/29))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2)) (.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 x (fma.f64 x 841/108 -4/29)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 (/.f64 (neg.f64 x) (fma.f64 x 841/108 -4/29)) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) (fma.f64 x 841/108 -4/29)))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2)) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) (fma.f64 x 841/108 -4/29)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 (/.f64 (neg.f64 x) (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (neg.f64 x) (fma.f64 x 841/108 -4/29)))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2)) (.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (neg.f64 x) (fma.f64 x 841/108 -4/29)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 -1 (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29))))) (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 x (/.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) x)))
(neg.f64 (/.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2) (/.f64 (.f64 x x) (+.f64 (*.f64 x -841/108) 4/29))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 2))) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 x (/.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) x)))
(neg.f64 (/.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2) (/.f64 (.f64 x x) (+.f64 (*.f64 x -841/108) 4/29))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 x 1)) (/.f64 x (fma.f64 x 841/108 -4/29)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) x) (/.f64 (fma.f64 x 841/108 -4/29) x))
(.f64 (neg.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2)) (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 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 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) x) (/.f64 (fma.f64 x 841/108 -4/29) x))
(.f64 (neg.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2)) (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 x (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) x))) (fma.f64 x 841/108 4/29))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (.f64 (fma.f64 x 841/108 4/29) (.f64 (/.f64 x (fma.f64 707281/11664 (*.f64 x x) -16/841)) x)))
(/.f64 (neg.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2)) (.f64 (fma.f64 x 841/108 4/29) (/.f64 (.f64 x x) (fma.f64 x (.f64 x 707281/11664) -16/841))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 (.f64 x x) (+.f64 -64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))) (+.f64 16/841 (-.f64 (.f64 707281/11664 (.f64 x x)) (*.f64 x -29/27))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (.f64 (+.f64 16/841 (-.f64 (.f64 x (.f64 x 707281/11664)) (.f64 x -29/27))) (/.f64 (.f64 x x) (+.f64 -64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2)) (.f64 (+.f64 16/841 (.f64 x (-.f64 (.f64 x 707281/11664) -29/27))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (neg.f64 (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29))))) (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 x (/.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) x)))
(neg.f64 (/.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2) (/.f64 (.f64 x x) (+.f64 (*.f64 x -841/108) 4/29))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 2))) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2)) (/.f64 x (/.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) x)))
(neg.f64 (/.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 x 841/108 -4/29)) 2) (/.f64 (.f64 x x) (+.f64 (*.f64 x -841/108) 4/29))))
(pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 1)
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (*.f64 x x) (fma.f64 x 841/108 -4/29))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x 841/108 -4/29))) 2)
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (*.f64 x x) (fma.f64 x 841/108 -4/29))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 3)
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (*.f64 x x) (fma.f64 x 841/108 -4/29))
(pow.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 3) 1/3)
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (*.f64 x x) (fma.f64 x 841/108 -4/29))
(neg.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) (neg.f64 x)))
(/.f64 (.f64 x x) (+.f64 (.f64 x -841/108) 4/29))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 2))
(fabs.f64 (/.f64 (*.f64 x x) (fma.f64 x 841/108 -4/29)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x 841/108 -4/29))))
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (*.f64 x x) (fma.f64 x 841/108 -4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)))))
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (*.f64 x x) (fma.f64 x 841/108 -4/29))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 3))
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (*.f64 x x) (fma.f64 x 841/108 -4/29))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) 3)))
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (*.f64 x x) (fma.f64 x 841/108 -4/29))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) 3) (pow.f64 x 3)))
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (*.f64 x x) (fma.f64 x 841/108 -4/29))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (*.f64 x x) (fma.f64 x 841/108 -4/29))
(exp.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (*.f64 x x) (fma.f64 x 841/108 -4/29))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))) 1))
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (*.f64 x x) (fma.f64 x 841/108 -4/29))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))))
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x))
(/.f64 (*.f64 x x) (fma.f64 x 841/108 -4/29))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x 841/108)
✓	0.2b	(/.f64 x (/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) x))
✓	0.3b	(/.f64 16/841 (fma.f64 x -841/108 4/29))
✓	0.3b	(/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) x)

Compiler

Compiled 57 to 43 computations (24.6% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite99.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`associate-/r/`
954×	`associate-/l/`
580×	`distribute-rgt-in`
548×	`distribute-lft-in`
336×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	341	66
2	4395	66

Stop Event

1×	node limit

Counts

4 → 210

Calls

Call 1

Inputs
(/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) x)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(/.f64 x (/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) x))
(/.f64 x 841/108)

Outputs
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simplify137.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

764×	`associate-r`
742×	`*-commutative`
696×	`associate-l`
636×	`+-commutative`
538×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	587	6436
1	1811	5694
2	6917	5694

Stop Event

1×	node limit

Counts

258 → 312

Calls

Call 1

Inputs
(/.f64 46656/20511149 x)
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
-108/841
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
-108/841
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
4/29
(+.f64 4/29 (*.f64 841/108 x))
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(.f64 (/.f64 x (-.f64 (pow.f64 (/.f64 46656/20511149 x) 3) (pow.f64 (.f64 (/.f64 x x) 108/841) 3))) (+.f64 (.f64 (/.f64 46656/20511149 x) (/.f64 46656/20511149 x)) (+.f64 (.f64 (.f64 (/.f64 x x) 108/841) (.f64 (/.f64 x x) 108/841)) (.f64 (/.f64 46656/20511149 x) (.f64 (/.f64 x x) 108/841)))))
(.f64 (/.f64 x (-.f64 (.f64 46656/20511149 x) (.f64 x (.f64 x 108/841)))) (*.f64 x x))
(.f64 (/.f64 x (.f64 (-.f64 2176782336/420707233300201 (.f64 (.f64 x x) 11664/707281)) 1)) (.f64 (+.f64 46656/20511149 (.f64 x 108/841)) x))
(.f64 (/.f64 x (.f64 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321)) 1)) (.f64 (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (*.f64 5038848/17249876309 x) 2176782336/420707233300201)) x))
(.f64 (/.f64 1 (/.f64 (+.f64 46656/20511149 (.f64 x -108/841)) (*.f64 (sqrt.f64 x) x))) (sqrt.f64 x))
(.f64 (/.f64 1 (/.f64 (+.f64 46656/20511149 (.f64 x -108/841)) (*.f64 (pow.f64 (cbrt.f64 x) 2) x))) (cbrt.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 46656/20511149 (.f64 x -108/841)) x)) (cbrt.f64 x))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 (+.f64 46656/20511149 (.f64 x 108/841)) (-.f64 2176782336/420707233300201 (.f64 (*.f64 x x) 11664/707281))))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (.f64 5038848/17249876309 x) 2176782336/420707233300201)) (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321))))
(.f64 (/.f64 (.f64 x x) (-.f64 2176782336/420707233300201 (.f64 (.f64 x x) 11664/707281))) (+.f64 46656/20511149 (*.f64 x 108/841)))
(.f64 (/.f64 (.f64 x x) (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321))) (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (.f64 5038848/17249876309 x) 2176782336/420707233300201)))
(.f64 (/.f64 (.f64 x x) (neg.f64 (-.f64 2176782336/420707233300201 (.f64 (.f64 x x) 11664/707281)))) (neg.f64 (+.f64 46656/20511149 (*.f64 x 108/841))))
(.f64 (/.f64 (.f64 x x) (neg.f64 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321)))) (neg.f64 (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (.f64 5038848/17249876309 x) 2176782336/420707233300201))))
(.f64 (/.f64 (.f64 x x) (-.f64 2176782336/420707233300201 (.f64 (.f64 x -108/841) (.f64 x -108/841)))) (+.f64 46656/20511149 (.f64 x 108/841)))
(.f64 (/.f64 (.f64 x x) (+.f64 101559956668416/8629188747598184440949 (pow.f64 (.f64 x -108/841) 3))) (+.f64 2176782336/420707233300201 (-.f64 (.f64 (.f64 x -108/841) (.f64 x -108/841)) (.f64 46656/20511149 (.f64 x -108/841)))))
(.f64 (/.f64 (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (/.f64 (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (/.f64 (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))) -1) (neg.f64 x))
(.f64 (/.f64 (neg.f64 x) -1) (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 -46656/20511149 (.f64 x 108/841)))) (neg.f64 x))
(.f64 (/.f64 (/.f64 x 1) 1) (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))
(.f64 (/.f64 (/.f64 x 1) (sqrt.f64 (+.f64 46656/20511149 (.f64 x -108/841)))) (/.f64 x (sqrt.f64 (+.f64 46656/20511149 (*.f64 x -108/841)))))
(.f64 (/.f64 (/.f64 x 1) (pow.f64 (cbrt.f64 (+.f64 46656/20511149 (.f64 x -108/841))) 2)) (/.f64 x (cbrt.f64 (+.f64 46656/20511149 (*.f64 x -108/841)))))
(.f64 (/.f64 (/.f64 x 1) (-.f64 2176782336/420707233300201 (.f64 (.f64 x x) 11664/707281))) (.f64 x (+.f64 46656/20511149 (*.f64 x 108/841))))
(.f64 (/.f64 (/.f64 x 1) (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321))) (.f64 x (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (.f64 5038848/17249876309 x) 2176782336/420707233300201))))
(.f64 (/.f64 (/.f64 x 1) (+.f64 -46656/20511149 (.f64 x 108/841))) (neg.f64 x))
(.f64 (/.f64 (/.f64 x 1) (.f64 (-.f64 2176782336/420707233300201 (.f64 (.f64 x x) 11664/707281)) (/.f64 1 x))) (+.f64 46656/20511149 (*.f64 x 108/841)))
(.f64 (/.f64 (/.f64 x 1) (.f64 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321)) (/.f64 1 x))) (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (.f64 5038848/17249876309 x) 2176782336/420707233300201)))
(.f64 (/.f64 (/.f64 x 1) (/.f64 (+.f64 46656/20511149 (.f64 x -108/841)) (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (/.f64 (/.f64 x 1) (/.f64 (+.f64 46656/20511149 (.f64 x -108/841)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (/.f64 (/.f64 x 1) -1) (neg.f64 (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841)))))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 -46656/20511149 (.f64 x 108/841)))) (neg.f64 (neg.f64 x)))
(.f64 (/.f64 (/.f64 x 1) (-.f64 (.f64 (/.f64 46656/20511149 x) (/.f64 46656/20511149 x)) (.f64 (.f64 (/.f64 x x) 108/841) (.f64 (/.f64 x x) 108/841)))) (+.f64 (/.f64 46656/20511149 x) (.f64 (/.f64 x x) 108/841)))
(.f64 (/.f64 (/.f64 x 1) (-.f64 (pow.f64 (/.f64 46656/20511149 x) 3) (pow.f64 (.f64 (/.f64 x x) 108/841) 3))) (+.f64 (.f64 (/.f64 46656/20511149 x) (/.f64 46656/20511149 x)) (+.f64 (.f64 (.f64 (/.f64 x x) 108/841) (.f64 (/.f64 x x) 108/841)) (.f64 (/.f64 46656/20511149 x) (.f64 (/.f64 x x) 108/841)))))
(.f64 (/.f64 (/.f64 x 1) (-.f64 (.f64 46656/20511149 x) (.f64 x (.f64 x 108/841)))) (*.f64 x x))
(.f64 (/.f64 (/.f64 x 1) (.f64 (-.f64 2176782336/420707233300201 (.f64 (.f64 x x) 11664/707281)) 1)) (.f64 (+.f64 46656/20511149 (.f64 x 108/841)) x))
(.f64 (/.f64 (/.f64 x 1) (.f64 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321)) 1)) (.f64 (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (*.f64 5038848/17249876309 x) 2176782336/420707233300201)) x))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (+.f64 46656/20511149 (.f64 x -108/841)) x))) 1) (sqrt.f64 (/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (+.f64 46656/20511149 (.f64 x -108/841)) x))) (sqrt.f64 (+.f64 46656/20511149 (*.f64 x -108/841)))) (sqrt.f64 x))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (+.f64 46656/20511149 (.f64 x -108/841)) x))) (sqrt.f64 (+.f64 -46656/20511149 (*.f64 x 108/841)))) (sqrt.f64 (neg.f64 x)))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 46656/20511149 (.f64 x -108/841)) x)) 2)) 1) (cbrt.f64 (/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 46656/20511149 (.f64 x -108/841)) x)) 2)) (cbrt.f64 (+.f64 46656/20511149 (*.f64 x -108/841)))) (cbrt.f64 x))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 46656/20511149 (.f64 x -108/841)) x)) 2)) (cbrt.f64 (+.f64 -46656/20511149 (*.f64 x 108/841)))) (cbrt.f64 (neg.f64 x)))
(pow.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841)))) 1)
(pow.f64 (sqrt.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))) 2)
(pow.f64 (cbrt.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))) 3)
(pow.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841)))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 46656/20511149 (.f64 x -108/841)) (.f64 x x)) -1)
(neg.f64 (.f64 (/.f64 x (+.f64 -46656/20511149 (.f64 x 108/841))) x))
(sqrt.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841)))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841)))))))
(cbrt.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 46656/20511149 (*.f64 x -108/841)) x) 3)))
(expm1.f64 (log1p.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))))
(exp.f64 (log.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841))))) 1))
(log1p.f64 (expm1.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 108/841))) 1)
(*.f64 x 108/841)
(.f64 (.f64 x 108/841) 1)
(.f64 1 (.f64 x 108/841))
(.f64 (sqrt.f64 (.f64 x 108/841)) (sqrt.f64 (*.f64 x 108/841)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 108/841))
(.f64 (cbrt.f64 (.f64 x 108/841)) (pow.f64 (cbrt.f64 (*.f64 x 108/841)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 108/841)) 2) (cbrt.f64 (*.f64 x 108/841)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 108/841))
(*.f64 108/841 x)
(*.f64 (neg.f64 x) -108/841)
(*.f64 -108/841 (neg.f64 x))
(*.f64 (/.f64 1 (/.f64 841/108 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 1 (/.f64 841/108 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 841/108) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 841/108) (cbrt.f64 x))
(pow.f64 (*.f64 x 108/841) 1)
(pow.f64 (sqrt.f64 (*.f64 x 108/841)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 108/841)) 3)
(pow.f64 (/.f64 841/108 x) -1)
(pow.f64 (*.f64 (pow.f64 x 3) 1259712/594823321) 1/3)
(neg.f64 (/.f64 x -841/108))
(sqrt.f64 (.f64 (.f64 x x) 11664/707281))
(log.f64 (exp.f64 (*.f64 x 108/841)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 108/841))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1259712/594823321))
(expm1.f64 (log1p.f64 (*.f64 x 108/841)))
(exp.f64 (log.f64 (*.f64 x 108/841)))
(exp.f64 (.f64 (log.f64 (.f64 x 108/841)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 108/841)))

Outputs
(/.f64 46656/20511149 x)
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
(+.f64 (/.f64 46656/20511149 x) -108/841)
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
(+.f64 (/.f64 46656/20511149 x) -108/841)
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
(+.f64 (/.f64 46656/20511149 x) -108/841)
-108/841
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
(+.f64 (/.f64 46656/20511149 x) -108/841)
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
(+.f64 (/.f64 46656/20511149 x) -108/841)
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
(+.f64 (/.f64 46656/20511149 x) -108/841)
-108/841
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
(+.f64 (/.f64 46656/20511149 x) -108/841)
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
(+.f64 (/.f64 46656/20511149 x) -108/841)
(-.f64 (*.f64 46656/20511149 (/.f64 1 x)) 108/841)
(+.f64 (/.f64 46656/20511149 x) -108/841)
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 (fma.f64 x 841/108 4/29) (.f64 x (.f64 x 20511149/46656)))
(+.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 x 841/108 4/29) (fma.f64 20511149/46656 (.f64 x x) (.f64 500246412961/20155392 (pow.f64 x 3))))
(/.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 746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 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 -746496/17249876309 (*.f64 x x)) (+.f64 (/.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 746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(-.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 746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 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 -746496/17249876309 (*.f64 x x)) (+.f64 (/.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 746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(-.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 20511149/46656 (pow.f64 x 2))
(.f64 20511149/46656 (.f64 x x))
(.f64 x (.f64 x 20511149/46656))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (.f64 500246412961/20155392 (pow.f64 x 3)))
(fma.f64 20511149/46656 (.f64 x x) (.f64 500246412961/20155392 (pow.f64 x 3)))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 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 (pow.f64 x 4) 12200509765705829/8707129344)))
(+.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 (pow.f64 x 4) 12200509765705829/8707129344))))
(fma.f64 20511149/46656 (.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 (pow.f64 x 4) 12200509765705829/8707129344 (.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 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 (-.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)
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(/.f64 x (+.f64 (/.f64 46656/20511149 x) -108/841))
(cbrt.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841)))) 3))
(.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))
(/.f64 x (+.f64 (/.f64 46656/20511149 x) -108/841))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 46656/20511149 (*.f64 x -108/841)) x) 3)))
(.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))
(/.f64 x (+.f64 (/.f64 46656/20511149 x) -108/841))
(expm1.f64 (log1p.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))))
(.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))
(/.f64 x (+.f64 (/.f64 46656/20511149 x) -108/841))
(exp.f64 (log.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))))
(.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))
(/.f64 x (+.f64 (/.f64 46656/20511149 x) -108/841))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841))))) 1))
(.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))
(/.f64 x (+.f64 (/.f64 46656/20511149 x) -108/841))
(log1p.f64 (expm1.f64 (.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))))
(.f64 x (/.f64 x (+.f64 46656/20511149 (.f64 x -108/841))))
(/.f64 x (+.f64 (/.f64 46656/20511149 x) -108/841))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 108/841))) 1)
(*.f64 x 108/841)
(*.f64 x 108/841)
(.f64 (.f64 x 108/841) 1)
(*.f64 x 108/841)
(.f64 1 (.f64 x 108/841))
(*.f64 x 108/841)
(.f64 (sqrt.f64 (.f64 x 108/841)) (sqrt.f64 (*.f64 x 108/841)))
(*.f64 x 108/841)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 108/841))
(*.f64 x 108/841)
(.f64 (cbrt.f64 (.f64 x 108/841)) (pow.f64 (cbrt.f64 (*.f64 x 108/841)) 2))
(*.f64 x 108/841)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 108/841)) 2) (cbrt.f64 (*.f64 x 108/841)))
(*.f64 x 108/841)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 108/841))
(*.f64 x 108/841)
(*.f64 108/841 x)
(*.f64 x 108/841)
(*.f64 (neg.f64 x) -108/841)
(*.f64 x 108/841)
(*.f64 -108/841 (neg.f64 x))
(*.f64 x 108/841)
(*.f64 (/.f64 1 (/.f64 841/108 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 x 108/841)
(*.f64 (/.f64 1 (/.f64 841/108 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 x 108/841)
(*.f64 (/.f64 (sqrt.f64 x) 841/108) (sqrt.f64 x))
(*.f64 x 108/841)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 841/108) (cbrt.f64 x))
(*.f64 x 108/841)
(pow.f64 (*.f64 x 108/841) 1)
(*.f64 x 108/841)
(pow.f64 (sqrt.f64 (*.f64 x 108/841)) 2)
(*.f64 x 108/841)
(pow.f64 (cbrt.f64 (*.f64 x 108/841)) 3)
(*.f64 x 108/841)
(pow.f64 (/.f64 841/108 x) -1)
(*.f64 x 108/841)
(pow.f64 (*.f64 (pow.f64 x 3) 1259712/594823321) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1259712/594823321))
(neg.f64 (/.f64 x -841/108))
(/.f64 (neg.f64 x) -841/108)
(sqrt.f64 (.f64 (.f64 x x) 11664/707281))
(sqrt.f64 (.f64 x (.f64 x 11664/707281)))
(fabs.f64 (*.f64 x -108/841))
(log.f64 (exp.f64 (*.f64 x 108/841)))
(*.f64 x 108/841)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 108/841))))
(*.f64 x 108/841)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1259712/594823321))
(expm1.f64 (log1p.f64 (*.f64 x 108/841)))
(*.f64 x 108/841)
(exp.f64 (log.f64 (*.f64 x 108/841)))
(*.f64 x 108/841)
(exp.f64 (.f64 (log.f64 (.f64 x 108/841)) 1))
(*.f64 x 108/841)
(log1p.f64 (expm1.f64 (*.f64 x 108/841)))
(*.f64 x 108/841)

localize13.0ms (0.2%)

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 841/108 x)
✓	15.4b	(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 32 to 23 computations (28.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite84.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1820×	`associate-/l*`
1612×	`associate-*r/`
1340×	`associate-*l/`
538×	`associate-/r/`
248×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	247	44
2	3276	44

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

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

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-/l/`
1200×	`associate-/r/`
736×	`associate-r`
700×	`associate-l`
492×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	4588
1	971	4020
2	4825	3992

Stop Event

1×	node limit

Counts

122 → 184

Calls

Call 1

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

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

localize16.0ms (0.2%)

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 841/108 x)
✓	15.3b	(/.f64 (-.f64 (.f64 x (.f64 x 707281/11664)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))

Compiler

Compiled 42 to 31 computations (26.2% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite80.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1796×	`associate-/r*`
1752×	`associate-*l/`
1150×	`associate-/r/`
290×	`add-sqr-sqrt`
278×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	297	29
2	3913	29

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x 841/108 -4/29)) (neg.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x 841/108 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 841/108) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x 841/108 -4/29)) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 841/108 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 25/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x 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simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1672×	`unswap-sqr`
520×	`associate-/l/`
512×	`+-commutative`
478×	`associate-r`
454×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	4347
1	861	3981
2	4042	3971

Stop Event

1×	node limit

Counts

141 → 176

Calls

Call 1

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

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

eval1.1s (13.6%)

Compiler: Compiled 31039 to 23474 computations (24.4% saved)

prune326.0ms (4.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1294	1	1295
Fresh	0	1	1
Picked	0	1	1
Done	3	4	7
Total	1297	7	1304

Error

Counts

1304 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.3b	(/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))
✓	16.4b	(/.f64 (-.f64 (.f64 x (.f64 x 707281/11664)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
✓	31.5b	(/.f64 1 (/.f64 108/841 x))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
	31.3b	(.f64 (.f64 (/.f64 x (+.f64 4/29 (*.f64 x -841/108))) -707281/11664) x)
✓	31.4b	(*.f64 841/108 x)
	32.3b	4/29

Compiler

Compiled 60 to 48 computations (20% saved)

regimes37.0ms (0.5%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	(*.f64 (/.f64 841 108) x)
12.0ms	x
7.0ms	(+.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 282 to 221 computations (21.6% saved)

regimes30.0ms (0.4%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(*.f64 (/.f64 841 108) x)
9.0ms	x
6.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Results

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

Compiler

Compiled 206 to 160 computations (22.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -60.1b remaining (-3362.4%)

Threshold costs -60.1b (-3362.4%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.8b	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch24.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.00010046644016623557	0.11665108903487714
11.0ms	-0.19206517917192828	-0.014667998293291955

Results

20.0ms

224×

body

256

valid

Compiler

Compiled 126 to 110 computations (12.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	25	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 28 to 24 computations (14.3% saved)

end26.0ms (0.3%)

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