Details

analyze3.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (15.5%)

Results

1.1s	8253×	body	256	valid
0.0ms	6×	body	256	infinite
0.0ms	2×	body	1024	valid
0.0ms	1×	body	2048	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)

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 23 computations (11.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite85.0ms (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)))))

simplify103.0ms (1.5%)

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)

rewrite82.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1098×	`distribute-lft-in`
1042×	`distribute-rgt-in`
902×	`associate-r`
884×	`fma-def`
776×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	361
1	136	343
2	597	341
3	2639	339
4	7205	339

Stop Event

1×	node limit

Counts

33 → 31

Calls

Call 1

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

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

eval135.0ms (1.9%)

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

prune45.0ms (0.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Error

0.0b

Counts

227 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.6b	(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (*.f64 841/108 x)))))
	16.4b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
	0.2b	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
▶	31.4b	(+.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)
▶	16.4b	(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
▶	32.1b	(*.f64 841/108 x)
	30.7b	4/29

Compiler

Compiled 188 to 158 computations (16% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

simplify58.0ms (0.8%)

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
	0.1b	(*.f64 841/108 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize63.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))
	0.1b	(*.f64 841/108 x)
✓	0.2b	(.f64 -707281/11664 (.f64 x x))
✓	15.2b	(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))

Compiler

Compiled 52 to 36 computations (30.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite107.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

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

Outputs

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

simplify162.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	630	14236
1	1825	13426

Stop Event

1×	node limit

Counts

252 → 379

Calls

Call 1

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

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

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 707281/11664 (.f64 x x))
✓	0.3b	(pow.f64 (*.f64 841/108 x) 3)
✓	0.3b	(.f64 4/29 (.f64 841/108 x))
✓	19.7b	(/.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)))))

Compiler

Compiled 77 to 57 computations (26% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 707281/11664 (.f64 x x))
1.0ms	x	@	0	(/.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)))))
0.0ms	x	@	inf	(/.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)))))
0.0ms	x	@	-inf	(/.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)))))
0.0ms	x	@	0	(pow.f64 (*.f64 841/108 x) 3)

rewrite96.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`associate-/r*`
1008×	`associate-/l*`
400×	`add-sqr-sqrt`
382×	`add-cbrt-cube`
382×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	84
1	419	80
2	5390	80

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

Inputs
(/.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 4/29 (.f64 841/108 x))
(pow.f64 (*.f64 841/108 x) 3)
(.f64 707281/11664 (.f64 x x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) (sqrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) 2) (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 2)) (/.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (cbrt.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) 2) (hypot.f64 (.f64 841/108 x) (sqrt.f64 (-.f64 16/841 (.f64 x 29/27))))) (/.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (hypot.f64 (.f64 841/108 x) (sqrt.f64 (-.f64 16/841 (.f64 x 29/27))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 2)) (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 -16/841 (-.f64 (.f64 x 29/27) (.f64 x (.f64 x 707281/11664))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) 3) (pow.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 29/27))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 29/27) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 29/27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 29/27)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 24389/19683 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 841/729 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 29/27) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 24389/19683 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 29/27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 29/27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 29/27)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 29/27)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 594823321/1259712 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 841/108 (.f64 x (.f64 x (.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 841/108 (.f64 x (.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 841/108 x) (.f64 x (.f64 x 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 594823321/1259712 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 x 707281/11664)) (.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 594823321/1259712 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 841/108 x)) (.f64 (sqrt.f64 (.f64 841/108 x)) (.f64 x (.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 841/108 x) 3/2) (pow.f64 (.f64 841/108 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (.f64 (cbrt.f64 (.f64 841/108 x)) (.f64 x (.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 594823321/1259712 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 3) 594823321/1259712)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (.f64 x 707281/11664)) 841/108) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (.f64 x 707281/11664)) (sqrt.f64 (.f64 841/108 x))) (sqrt.f64 (.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (.f64 x 707281/11664)) (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2)) (cbrt.f64 (.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 841/108 x)) 3) (pow.f64 (sqrt.f64 (.f64 841/108 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 841/108 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 594823321/1259712 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 841/108 x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 594823321/1259712 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 594823321/1259712 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 594823321/1259712 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 841/108 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 707281/11664)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 841/108 x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 841/108 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 x 707281/11664))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x 707281/11664))))))))

simplify128.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

782×	`distribute-lft-in`
770×	`fma-def`
726×	`distribute-rgt-in`
698×	`*-commutative`
658×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	3204
1	550	2998
2	2105	2952

Stop Event

1×	node limit

Counts

134 → 120

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))) 1)
(.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))))
(.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))) 1)
(.f64 1 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) (sqrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))))
(.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) 2) (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) 2) (.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(.f64 (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389))
(.f64 (-.f64 -64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 -1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))
(.f64 (/.f64 1 (hypot.f64 (.f64 841/108 x) (sqrt.f64 (-.f64 16/841 (.f64 x 29/27))))) (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (hypot.f64 (.f64 841/108 x) (sqrt.f64 (-.f64 16/841 (*.f64 x 29/27))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 2)) (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (cbrt.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))))
(.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (-.f64 16/841 (.f64 x 29/27)) 2))) (-.f64 (.f64 x (.f64 x 707281/11664)) (-.f64 16/841 (.f64 x 29/27))))
(.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (pow.f64 (.f64 841/108 x) 6) (pow.f64 (-.f64 16/841 (.f64 x 29/27)) 3))) (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (-.f64 16/841 (.f64 x 29/27)) (+.f64 16/841 (-.f64 (.f64 -29/27 x) (.f64 x (*.f64 x 707281/11664)))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) 1) (/.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 2)) (/.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (cbrt.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) 2) (hypot.f64 (.f64 841/108 x) (sqrt.f64 (-.f64 16/841 (.f64 x 29/27))))) (/.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (hypot.f64 (.f64 841/108 x) (sqrt.f64 (-.f64 16/841 (*.f64 x 29/27))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 2)) (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))))
(pow.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) -1)
(neg.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 -16/841 (-.f64 (.f64 x 29/27) (.f64 x (*.f64 x 707281/11664))))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) 3) (pow.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 29/27))) 1)
(pow.f64 (*.f64 x 29/27) 1)
(pow.f64 (sqrt.f64 (*.f64 x 29/27)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 29/27)) 3)
(pow.f64 (*.f64 24389/19683 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 841/729 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 29/27) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 29/27))))
(cbrt.f64 (*.f64 24389/19683 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 29/27)))
(exp.f64 (log.f64 (*.f64 x 29/27)))
(exp.f64 (.f64 (log.f64 (.f64 x 29/27)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 29/27)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))) 1)
(.f64 841/108 (.f64 x (.f64 x (.f64 x 707281/11664))))
(.f64 x (.f64 841/108 (.f64 x (.f64 x 707281/11664))))
(.f64 (.f64 841/108 x) (.f64 x (.f64 x 707281/11664)))
(.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 1)
(.f64 (.f64 x (.f64 x 707281/11664)) (.f64 841/108 x))
(.f64 1 (.f64 594823321/1259712 (pow.f64 x 3)))
(.f64 (sqrt.f64 (.f64 841/108 x)) (.f64 (sqrt.f64 (.f64 841/108 x)) (.f64 x (.f64 x 707281/11664))))
(.f64 (pow.f64 (.f64 841/108 x) 3/2) (pow.f64 (*.f64 841/108 x) 3/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (.f64 (cbrt.f64 (.f64 841/108 x)) (.f64 x (.f64 x 707281/11664))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 594823321/1259712)
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) 841/108) x)
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108)
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) (sqrt.f64 (.f64 841/108 x))) (sqrt.f64 (.f64 841/108 x)))
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2)) (cbrt.f64 (.f64 841/108 x)))
(.f64 (pow.f64 (sqrt.f64 (.f64 841/108 x)) 3) (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 3))
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 6))
(log.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 9))
(expm1.f64 (log1p.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 594823321/1259712 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))
(-.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 (*.f64 (pow.f64 x 4) 500246412961/136048896))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (.f64 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 (log.f64 (.f64 x (.f64 x 707281/11664))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 707281/11664))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 707281/11664))))

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))) 1)
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))) 1)
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 1 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) (sqrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))) 2))
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(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 3))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) 3) (pow.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)) 3)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(exp.f64 (log.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))) 1))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 29/27))) 1)
(*.f64 x 29/27)
(pow.f64 (*.f64 x 29/27) 1)
(*.f64 x 29/27)
(pow.f64 (sqrt.f64 (*.f64 x 29/27)) 2)
(*.f64 x 29/27)
(pow.f64 (cbrt.f64 (*.f64 x 29/27)) 3)
(*.f64 x 29/27)
(pow.f64 (*.f64 24389/19683 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 24389/19683))
(sqrt.f64 (.f64 841/729 (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) 841/729))
(sqrt.f64 (.f64 x (.f64 x 841/729)))
(log.f64 (pow.f64 (exp.f64 29/27) x))
(*.f64 x 29/27)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 29/27))))
(*.f64 x 29/27)
(cbrt.f64 (*.f64 24389/19683 (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) 24389/19683))
(expm1.f64 (log1p.f64 (*.f64 x 29/27)))
(*.f64 x 29/27)
(exp.f64 (log.f64 (*.f64 x 29/27)))
(*.f64 x 29/27)
(exp.f64 (.f64 (log.f64 (.f64 x 29/27)) 1))
(*.f64 x 29/27)
(log1p.f64 (expm1.f64 (*.f64 x 29/27)))
(*.f64 x 29/27)
(-.f64 (exp.f64 (log1p.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))) 1)
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 841/108 (.f64 x (.f64 x (.f64 x 707281/11664))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 x (.f64 841/108 (.f64 x (.f64 x 707281/11664))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (.f64 841/108 x) (.f64 x (.f64 x 707281/11664)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 1)
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (.f64 x (.f64 x 707281/11664)) (.f64 841/108 x))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 1 (.f64 594823321/1259712 (pow.f64 x 3)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (sqrt.f64 (.f64 841/108 x)) (.f64 (sqrt.f64 (.f64 841/108 x)) (.f64 x (.f64 x 707281/11664))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (pow.f64 (.f64 841/108 x) 3/2) (pow.f64 (*.f64 841/108 x) 3/2))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (.f64 (cbrt.f64 (.f64 841/108 x)) (.f64 x (.f64 x 707281/11664))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 594823321/1259712)
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) 841/108) x)
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108)
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) (sqrt.f64 (.f64 841/108 x))) (sqrt.f64 (.f64 841/108 x)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2)) (cbrt.f64 (.f64 841/108 x)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (pow.f64 (sqrt.f64 (.f64 841/108 x)) 3) (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 6))
(*.f64 594823321/1259712 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 9))
(expm1.f64 (log1p.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 594823321/1259712 (pow.f64 x 3))) 1))
(*.f64 594823321/1259712 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664)))) 1)
(.f64 x (.f64 x 707281/11664))
(pow.f64 (*.f64 841/108 x) 2)
(.f64 x (.f64 x 707281/11664))
(pow.f64 (.f64 x (.f64 x 707281/11664)) 1)
(.f64 x (.f64 x 707281/11664))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 3)
(.f64 x (.f64 x 707281/11664))
(pow.f64 (pow.f64 (*.f64 841/108 x) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 6))
(sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 707281/11664))
(.f64 x (.f64 x 707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 707281/11664)))))
(.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))))
(.f64 x (.f64 x 707281/11664))
(exp.f64 (log.f64 (.f64 x (.f64 x 707281/11664))))
(.f64 x (.f64 x 707281/11664))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 707281/11664))) 1))
(.f64 x (.f64 x 707281/11664))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 707281/11664))))
(.f64 x (.f64 x 707281/11664))

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 32 to 27 computations (15.6% saved)

series5.0ms (0.1%)

Counts

3 → 1

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
0.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
0.0ms	x	@	-inf	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))

rewrite133.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

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

Outputs

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

simplify139.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

186 → 267

Calls

Call 1

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

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

eval606.0ms (8.6%)

Compiler: Compiled 19915 to 15504 computations (22.1% saved)

prune300.0ms (4.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	856	9	865
Fresh	2	2	4
Picked	1	0	1
Done	2	2	4
Total	861	13	874

Error

0.0b

Counts

874 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	46.6b	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
▶	32.7b	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
	16.4b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 4/29 (*.f64 x -841/108)))
▶	20.6b	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (.f64 841/108 x)))))
	0.2b	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
▶	0.1b	(+.f64 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1) 4/29)
	0.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 841/108 (cbrt.f64 x))) (/.f64 4 29))
▶	31.4b	(+.f64 (.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 4 29))
	31.4b	(+.f64 (.f64 (sqrt.f64 (.f64 841/108 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 841/108))) (/.f64 4 29))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	48.6b	(.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))
✓	32.1b	(*.f64 841/108 x)
	30.7b	4/29

Compiler

Compiled 264 to 214 computations (18.9% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1) 4/29)
	0.1b	(*.f64 841/108 x)
✓	2.1b	(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite86.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`associate-*r/`
1094×	`associate-*l/`
838×	`distribute-lft-in`
824×	`*-commutative`
338×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	230	20
2	3120	20

Stop Event

1×	node limit

Counts

2 → 178

Calls

Call 1

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

Outputs

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

simplify129.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1208×	`associate-+r+`
1134×	`associate-+l+`
844×	`+-commutative`
524×	`associate--r+`
486×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	8192
1	1293	7500
2	5517	7490

Stop Event

1×	node limit

Counts

202 → 273

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 1 (fma.f64 841/108 x -1))
(+.f64 (*.f64 841/108 x) 0)
(+.f64 (fma.f64 841/108 x 1) -1)
(+.f64 0 (*.f64 841/108 x))
(+.f64 (fma.f64 841/108 x -1) 1)
(+.f64 -1 (fma.f64 841/108 x 1))
(.f64 1 (.f64 841/108 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(.f64 (.f64 841/108 x) 1)
(.f64 (sqrt.f64 x) (.f64 841/108 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))
(.f64 (cbrt.f64 x) (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 841/108 (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (.f64 (.f64 x x) 707281/11664)))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 707281/11664)) (cbrt.f64 (.f64 841/108 x)))
(.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1) (/.f64 1 (+.f64 (.f64 841/108 x) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2))))
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 841/108 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (+.f64 1 (sqrt.f64 (fma.f64 841/108 x 1))) (-.f64 (sqrt.f64 (fma.f64 841/108 x 1)) 1))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 841/108 x 1)) 1) (+.f64 1 (sqrt.f64 (fma.f64 841/108 x 1))))
(.f64 (/.f64 1 (+.f64 (.f64 841/108 x) 2)) (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1))
(.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2))) (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1) (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1)) (.f64 841/108 x))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1) (-.f64 1 (pow.f64 (fma.f64 841/108 x 1) 2))) (-.f64 0 (.f64 841/108 x)))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1) (+.f64 1 (pow.f64 (fma.f64 841/108 x 1) 3))) (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (-.f64 0 (.f64 841/108 x))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (-.f64 (.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (pow.f64 (fma.f64 841/108 x 1) 2)) (.f64 (+.f64 (.f64 841/108 x) 2) (+.f64 (.f64 841/108 x) 2)))) (-.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 1) 2) 3) (pow.f64 (+.f64 (.f64 841/108 x) 2) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (pow.f64 (fma.f64 841/108 x 1) 2)) (.f64 (+.f64 (.f64 841/108 x) 2) (+.f64 (.f64 841/108 x) 2))) (.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2))))
(/.f64 1 (/.f64 1 (*.f64 841/108 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 1) -1))) (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3))))
(/.f64 (*.f64 841/108 x) 1)
(/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1) (+.f64 (*.f64 841/108 x) 2))
(/.f64 (+.f64 (.f64 841/108 x) 2) (/.f64 (+.f64 (.f64 841/108 x) 2) (*.f64 841/108 x)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (*.f64 841/108 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 1) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3))) (/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (*.f64 841/108 x) 2)) (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3))) (/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 1) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1)) (/.f64 (+.f64 (*.f64 841/108 x) 2) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (-.f64 1 (.f64 (fma.f64 841/108 x 1) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1))) (/.f64 (+.f64 (.f64 841/108 x) 2) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 841/108 x -1) (fma.f64 841/108 x -1))) (-.f64 1 (fma.f64 841/108 x -1)))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 841/108 x 1) 3) (pow.f64 (fma.f64 841/108 x 1) 3)) 1) (.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (*.f64 841/108 x) 2)) (+.f64 1 (pow.f64 (fma.f64 841/108 x 1) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 841/108 x 1) 3) (pow.f64 (fma.f64 841/108 x 1) 3)) 1) (.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 1) -1))) (+.f64 1 (pow.f64 (fma.f64 841/108 x 1) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (pow.f64 (fma.f64 841/108 x 1) 2)) 1) (.f64 (+.f64 (*.f64 841/108 x) 2) (+.f64 1 (pow.f64 (fma.f64 841/108 x 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 841/108 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 841/108 x -1) (fma.f64 841/108 x -1)) (fma.f64 841/108 x -1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 1) 3) 3) 1) (.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2)) (+.f64 (*.f64 (pow.f64 (fma.f64 841/108 x 1) 3) (pow.f64 (fma.f64 841/108 x 1) 3)) (+.f64 1 (pow.f64 (fma.f64 841/108 x 1) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 1) 3) 3) 1) (.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (-.f64 1 (.f64 (fma.f64 841/108 x 1) -1))) (+.f64 (*.f64 (pow.f64 (fma.f64 841/108 x 1) 3) (pow.f64 (fma.f64 841/108 x 1) 3)) (+.f64 1 (pow.f64 (fma.f64 841/108 x 1) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 1) 2) 3) 1) (.f64 (+.f64 (.f64 841/108 x) 2) (+.f64 (*.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (pow.f64 (fma.f64 841/108 x 1) 2)) (+.f64 1 (pow.f64 (fma.f64 841/108 x 1) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1)) (neg.f64 (+.f64 (*.f64 841/108 x) 2)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (*.f64 841/108 x) 2))))
(/.f64 (.f64 1 (-.f64 1 (.f64 (fma.f64 841/108 x -1) (fma.f64 841/108 x -1)))) (-.f64 1 (fma.f64 841/108 x -1)))
(/.f64 (.f64 1 (+.f64 1 (pow.f64 (fma.f64 841/108 x -1) 3))) (+.f64 1 (-.f64 (.f64 (fma.f64 841/108 x -1) (fma.f64 841/108 x -1)) (fma.f64 841/108 x -1))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1))) (neg.f64 (+.f64 (.f64 841/108 x) 2)))
(/.f64 (.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (*.f64 841/108 x) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1))) (sqrt.f64 (+.f64 (*.f64 841/108 x) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) 707281/11664)) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) 707281/11664)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1))) (cbrt.f64 (+.f64 (.f64 841/108 x) 2)))
(/.f64 (.f64 (-.f64 1 (.f64 (fma.f64 841/108 x -1) (fma.f64 841/108 x -1))) 1) (-.f64 1 (fma.f64 841/108 x -1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (fma.f64 841/108 x -1) 3)) 1) (+.f64 1 (-.f64 (.f64 (fma.f64 841/108 x -1) (fma.f64 841/108 x -1)) (fma.f64 841/108 x -1))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1)) 1) (neg.f64 (+.f64 (.f64 841/108 x) 2)))
(/.f64 (.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3))) 1) (neg.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3))) (sqrt.f64 (.f64 841/108 x))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (*.f64 841/108 x) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1)) (sqrt.f64 (.f64 841/108 x))) (sqrt.f64 (+.f64 (*.f64 841/108 x) 2)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3))) (cbrt.f64 (.f64 (.f64 x x) 707281/11664))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1)) (cbrt.f64 (.f64 (.f64 x x) 707281/11664))) (cbrt.f64 (+.f64 (.f64 841/108 x) 2)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (pow.f64 (fma.f64 841/108 x 1) 2)) 1) (/.f64 1 (+.f64 (*.f64 841/108 x) 2))) (+.f64 1 (pow.f64 (fma.f64 841/108 x 1) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 1) 2) 3) 1) (/.f64 1 (+.f64 (.f64 841/108 x) 2))) (+.f64 (*.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (pow.f64 (fma.f64 841/108 x 1) 2)) (+.f64 1 (pow.f64 (fma.f64 841/108 x 1) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 841/108 x 1) 3) (pow.f64 (fma.f64 841/108 x 1) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (*.f64 841/108 x) 2)))) (+.f64 1 (pow.f64 (fma.f64 841/108 x 1) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 1) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2)))) (+.f64 (*.f64 (pow.f64 (fma.f64 841/108 x 1) 3) (pow.f64 (fma.f64 841/108 x 1) 3)) (+.f64 1 (pow.f64 (fma.f64 841/108 x 1) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1) 1) (+.f64 (*.f64 841/108 x) 2))
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(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2))))
(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 (pow.f64 (*.f64 841/108 x) 3) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
(log.f64 (exp.f64 (*.f64 841/108 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(cbrt.f64 (pow.f64 (*.f64 841/108 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)))
(fma.f64 1 (fma.f64 841/108 x 1) -1)
(fma.f64 (sqrt.f64 (fma.f64 841/108 x 1)) (sqrt.f64 (fma.f64 841/108 x 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 1)) 2) (cbrt.f64 (fma.f64 841/108 x 1)) -1)
(-.f64 (fma.f64 841/108 x 1) 25/29)
(-.f64 (+.f64 (*.f64 841/108 x) 2) 54/29)
(-.f64 (exp.f64 (log.f64 (+.f64 33/29 (*.f64 841/108 x)))) 1)
(-.f64 (+.f64 33/29 (*.f64 841/108 x)) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 x -841/108))) (-.f64 (/.f64 (.f64 (.f64 x x) 707281/11664) (+.f64 1 (.f64 x -841/108))) -25/29))
(-.f64 (/.f64 1 (+.f64 1 (.f64 x -841/108))) (+.f64 (/.f64 (.f64 (.f64 x x) 707281/11664) (+.f64 1 (.f64 x -841/108))) 25/29))
(-.f64 (/.f64 (.f64 (.f64 x x) 707281/11664) (+.f64 (.f64 841/108 x) -4/29)) (/.f64 16/841 (+.f64 (.f64 841/108 x) -4/29)))
(-.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2)) (-.f64 (/.f64 1 (+.f64 (.f64 841/108 x) 2)) 4/29))
(-.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 1) 3) (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2))) 4/29))
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(-.f64 (+.f64 4/29 (/.f64 (pow.f64 (fma.f64 841/108 x 1) 3) (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2)))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 (.f64 841/108 x) 2))))
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(.f64 (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(.f64 (cbrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 841/108 x) 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (/.f64 1 (+.f64 (.f64 841/108 x) -4/29)))
(.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3)) (/.f64 1 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29))))
(.f64 (/.f64 1 (+.f64 (.f64 841/108 x) -4/29)) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841))
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(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)) (+.f64 (.f64 841/108 x) 4/29))
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(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))
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(/.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3)) (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (*.f64 841/108 x) 4/29)))
(/.f64 (sqrt.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3))) (/.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)) (/.f64 (+.f64 (.f64 841/108 x) -4/29) (sqrt.f64 (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841))))
(/.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3))) (cbrt.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3)))) (/.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29)) (cbrt.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3)))))
(/.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 (+.f64 (.f64 841/108 x) -4/29) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 841/108 x) 3) (pow.f64 (.f64 841/108 x) 3)) 4096/594823321) (.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29)) (-.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389)))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) 256/707281) (.f64 (+.f64 (.f64 841/108 x) -4/29) (+.f64 (.f64 (*.f64 x x) 707281/11664) 16/841)))
(/.f64 (-.f64 (pow.f64 (fma.f64 841/108 x 1) 2) 625/841) (+.f64 (*.f64 841/108 x) 54/29))
(/.f64 (+.f64 262144/14507145975869 (pow.f64 (pow.f64 (.f64 841/108 x) 3) 3)) (.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29)) (+.f64 (.f64 (pow.f64 (.f64 841/108 x) 3) (pow.f64 (.f64 841/108 x) 3)) (-.f64 4096/594823321 (.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) 707281/11664) 3) 4096/594823321) (.f64 (+.f64 (.f64 841/108 x) -4/29) (+.f64 (+.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) 256/707281) (.f64 (.f64 (.f64 x x) 707281/11664) 16/841))))
(/.f64 (-.f64 (pow.f64 (fma.f64 841/108 x 1) 3) 15625/24389) (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 625/841 (*.f64 (fma.f64 841/108 x 1) 25/29))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)) (neg.f64 (+.f64 (*.f64 841/108 x) -4/29)))
(/.f64 (neg.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3))) (neg.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (.f64 1 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (-.f64 4/29 (.f64 841/108 x)))
(/.f64 (.f64 1 (-.f64 (pow.f64 (fma.f64 841/108 x 1) 2) 625/841)) (+.f64 (.f64 841/108 x) 54/29))
(/.f64 (.f64 1 (-.f64 (pow.f64 (fma.f64 841/108 x 1) 3) 15625/24389)) (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 625/841 (.f64 (fma.f64 841/108 x 1) 25/29))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841))) (neg.f64 (+.f64 (.f64 841/108 x) -4/29)))
(/.f64 (.f64 1 (neg.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3)))) (neg.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3)))) (sqrt.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841))) (sqrt.f64 (+.f64 (*.f64 841/108 x) -4/29)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 841/108 x) 4/29)) 2) (cbrt.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3)))) (cbrt.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 841/108 x) 4/29)) 2) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841))) (cbrt.f64 (+.f64 (*.f64 841/108 x) -4/29)))
(/.f64 (.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) 1) (-.f64 4/29 (.f64 841/108 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 841/108 x 1) 2) 625/841) 1) (+.f64 (.f64 841/108 x) 54/29))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 841/108 x 1) 3) 15625/24389) 1) (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 625/841 (.f64 (fma.f64 841/108 x 1) 25/29))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)) 1) (neg.f64 (+.f64 (.f64 841/108 x) -4/29)))
(/.f64 (.f64 (neg.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3))) 1) (neg.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29))))
(/.f64 (.f64 (sqrt.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3))) (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29))) (sqrt.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)) (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29))) (sqrt.f64 (+.f64 (*.f64 841/108 x) -4/29)))
(/.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3))) (pow.f64 (cbrt.f64 (+.f64 (.f64 841/108 x) 4/29)) 2)) (cbrt.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)) (pow.f64 (cbrt.f64 (+.f64 (.f64 841/108 x) 4/29)) 2)) (cbrt.f64 (+.f64 (*.f64 841/108 x) -4/29)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) 256/707281) (/.f64 1 (+.f64 (.f64 841/108 x) -4/29))) (+.f64 (.f64 (*.f64 x x) 707281/11664) 16/841))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) 707281/11664) 3) 4096/594823321) (/.f64 1 (+.f64 (.f64 841/108 x) -4/29))) (+.f64 (+.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) 256/707281) (.f64 (.f64 (.f64 x x) 707281/11664) 16/841)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 841/108 x) 3) (pow.f64 (.f64 841/108 x) 3)) 4096/594823321) (/.f64 1 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29)))) (-.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389))
(/.f64 (.f64 (+.f64 262144/14507145975869 (pow.f64 (pow.f64 (.f64 841/108 x) 3) 3)) (/.f64 1 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29)))) (+.f64 (.f64 (pow.f64 (.f64 841/108 x) 3) (pow.f64 (.f64 841/108 x) 3)) (-.f64 4096/594823321 (.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)))))
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(/.f64 (/.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3)) 1) (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (*.f64 841/108 x) 4/29)))
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(pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 841/108 x) 4/29))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3))
(expm1.f64 (log.f64 (+.f64 33/29 (*.f64 841/108 x))))
(exp.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 1 (fma.f64 841/108 x 1) -25/29)
(fma.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (.f64 841/108 x)) 4/29)
(fma.f64 (sqrt.f64 (fma.f64 841/108 x 1)) (sqrt.f64 (fma.f64 841/108 x 1)) -25/29)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 1)) 2) (cbrt.f64 (fma.f64 841/108 x 1)) -25/29)

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 1 (fma.f64 841/108 x -1))
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(+.f64 (fma.f64 841/108 x 1) -1)
(*.f64 841/108 x)
(+.f64 0 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 (fma.f64 841/108 x -1) 1)
(*.f64 841/108 x)
(+.f64 -1 (fma.f64 841/108 x 1))
(*.f64 841/108 x)
(.f64 1 (.f64 841/108 x))
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(.f64 (.f64 841/108 x) 1)
(*.f64 841/108 x)
(.f64 (sqrt.f64 x) (.f64 841/108 (sqrt.f64 x)))
(*.f64 841/108 x)
(.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(.f64 (cbrt.f64 x) (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 841/108 x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 841/108 (cbrt.f64 x)))
(*.f64 841/108 x)
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(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3)))) (sqrt.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (sqrt.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389)) (/.f64 (sqrt.f64 (-.f64 (fma.f64 (.f64 x x) 707281/11664 16/841) (.f64 841/108 (.f64 x 4/29)))) (sqrt.f64 (fma.f64 841/108 x 4/29))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (-.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 x 29/27)))) (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841))) (sqrt.f64 (+.f64 (*.f64 841/108 x) -4/29)))
(/.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (/.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x -4/29))) (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 841/108 x) 4/29)) 2) (cbrt.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3)))) (cbrt.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (/.f64 (cbrt.f64 (-.f64 (fma.f64 (.f64 x x) 707281/11664 16/841) (.f64 841/108 (.f64 x 4/29)))) (cbrt.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (-.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 x 29/27)))) (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 841/108 x) 4/29)) 2) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841))) (cbrt.f64 (+.f64 (*.f64 841/108 x) -4/29)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (/.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (cbrt.f64 (fma.f64 841/108 x -4/29))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(/.f64 (.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) 1) (-.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 1 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 841/108 x 1) 2) 625/841) 1) (+.f64 (.f64 841/108 x) 54/29))
(/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -625/841) (fma.f64 841/108 x 54/29))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 841/108 x 1) 3) 15625/24389) 1) (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (+.f64 625/841 (.f64 (fma.f64 841/108 x 1) 25/29))))
(/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 3) -15625/24389) (+.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) 625/841) (*.f64 (fma.f64 841/108 x 1) 25/29)))
(/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 3) -15625/24389) (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (fma.f64 (fma.f64 841/108 x 1) 25/29 625/841)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)) 1) (neg.f64 (+.f64 (.f64 841/108 x) -4/29)))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 4/29 (*.f64 x -841/108)))
(.f64 1 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (neg.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3))) 1) (neg.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29))))
(/.f64 (+.f64 -64/24389 (neg.f64 (.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) 707281/11664 16/841) (.f64 841/108 (.f64 x 4/29)))))
(.f64 1 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 x 29/27))))
(/.f64 (.f64 (sqrt.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3))) (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29))) (sqrt.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (sqrt.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389)) (/.f64 (sqrt.f64 (-.f64 (fma.f64 (.f64 x x) 707281/11664 16/841) (.f64 841/108 (.f64 x 4/29)))) (sqrt.f64 (fma.f64 841/108 x 4/29))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (-.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 x 29/27)))) (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)) (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29))) (sqrt.f64 (+.f64 (*.f64 841/108 x) -4/29)))
(/.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (/.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x -4/29))) (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)))
(/.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3))) (pow.f64 (cbrt.f64 (+.f64 (.f64 841/108 x) 4/29)) 2)) (cbrt.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (/.f64 (cbrt.f64 (-.f64 (fma.f64 (.f64 x x) 707281/11664 16/841) (.f64 841/108 (.f64 x 4/29)))) (cbrt.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (-.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 x 29/27)))) (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)) (pow.f64 (cbrt.f64 (+.f64 (.f64 841/108 x) 4/29)) 2)) (cbrt.f64 (+.f64 (*.f64 841/108 x) -4/29)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (/.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (cbrt.f64 (fma.f64 841/108 x -4/29))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) 256/707281) (/.f64 1 (+.f64 (.f64 841/108 x) -4/29))) (+.f64 (.f64 (*.f64 x x) 707281/11664) 16/841))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) 500246412961/136048896) -256/707281) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 (.f64 x x) 707281/11664 16/841)))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 3)) 500246412961/136048896 -256/707281) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) 707281/11664) 3) 4096/594823321) (/.f64 1 (+.f64 (.f64 841/108 x) -4/29))) (+.f64 (+.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) 256/707281) (.f64 (.f64 (.f64 x x) 707281/11664) 16/841)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) -4096/594823321) (fma.f64 841/108 x -4/29)) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) 500246412961/136048896) (+.f64 256/707281 (.f64 (.f64 x x) 841/729))))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 (.f64 x x) 841/729 (fma.f64 (.f64 x (pow.f64 x 3)) 500246412961/136048896 256/707281))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 841/108 x) 3) (pow.f64 (.f64 841/108 x) 3)) 4096/594823321) (/.f64 1 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29)))) (-.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321) (.f64 (-.f64 (fma.f64 (.f64 x x) 707281/11664 16/841) (.f64 841/108 (.f64 x 4/29))) (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321) (.f64 (-.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 x 29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)))
(/.f64 (.f64 (+.f64 262144/14507145975869 (pow.f64 (pow.f64 (.f64 841/108 x) 3) 3)) (/.f64 1 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29)))) (+.f64 (.f64 (pow.f64 (.f64 841/108 x) 3) (pow.f64 (.f64 841/108 x) 3)) (-.f64 4096/594823321 (.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)))))
(/.f64 (/.f64 (+.f64 262144/14507145975869 (pow.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 3)) (-.f64 (fma.f64 (.f64 x x) 707281/11664 16/841) (.f64 841/108 (.f64 x 4/29)))) (+.f64 (pow.f64 (.f64 841/108 x) 6) (+.f64 4096/594823321 (.f64 -64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 262144/14507145975869 (.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3))) (-.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 x 29/27))) (+.f64 (pow.f64 (.f64 841/108 x) 6) (+.f64 4096/594823321 (*.f64 -24389/19683 (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) 1) (+.f64 (*.f64 841/108 x) -4/29))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 841/108 x -4/29) 707281/11664)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (sqrt.f64 (+.f64 (.f64 841/108 x) -4/29))) (sqrt.f64 (+.f64 (.f64 841/108 x) -4/29)))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 841/108 x -4/29) 707281/11664)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (.f64 (cbrt.f64 (+.f64 (.f64 841/108 x) -4/29)) (cbrt.f64 (+.f64 (.f64 841/108 x) -4/29)))) (cbrt.f64 (+.f64 (.f64 841/108 x) -4/29)))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 841/108 x -4/29) 707281/11664)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (/.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3)) 1) (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (*.f64 841/108 x) 4/29)))
(/.f64 (.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (-.f64 (fma.f64 (.f64 x x) 707281/11664 16/841) (.f64 841/108 (*.f64 x 4/29))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 x 29/27)))
(/.f64 (/.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3)) (sqrt.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29)))) (sqrt.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (-.f64 (fma.f64 (.f64 x x) 707281/11664 16/841) (.f64 841/108 (*.f64 x 4/29))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 x 29/27)))
(/.f64 (/.f64 (+.f64 64/24389 (pow.f64 (.f64 841/108 x) 3)) (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29))) (cbrt.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29))))) (cbrt.f64 (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 (.f64 841/108 x) 4/29))))
(/.f64 (.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (-.f64 (fma.f64 (.f64 x x) 707281/11664 16/841) (.f64 841/108 (*.f64 x 4/29))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 x 29/27)))
(pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3) 1/3)
(fma.f64 841/108 x 4/29)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 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 (+.f64 (*.f64 841/108 x) 4/29)))
(fma.f64 841/108 x 4/29)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 841/108 x) 4/29))))
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3))
(fma.f64 841/108 x 4/29)
(expm1.f64 (log.f64 (+.f64 33/29 (*.f64 841/108 x))))
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 841/108 x) 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 1 (fma.f64 841/108 x 1) -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)
(fma.f64 841/108 x 4/29)
(fma.f64 (sqrt.f64 (fma.f64 841/108 x 1)) (sqrt.f64 (fma.f64 841/108 x 1)) -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 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 1)) 2) (cbrt.f64 (fma.f64 841/108 x 1)) -25/29)
(fma.f64 841/108 x 4/29)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))
	0.2b	(.f64 -707281/11664 (.f64 x x))
✓	0.3b	(/.f64 -108/841 x)
✓	15.5b	(.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))

Compiler

Compiled 34 to 20 computations (41.2% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite107.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 270

Calls

Call 1

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

Outputs

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simplify137.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	660	14460
1	1811	13546

Stop Event

1×	node limit

Counts

294 → 439

Calls

Call 1

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

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

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x 707281/11664)
	0.2b	(.f64 707281/11664 (.f64 x x))
	0.3b	(.f64 4/29 (.f64 841/108 x))
✓	19.7b	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (.f64 841/108 x)))))

Compiler

Compiled 103 to 71 computations (31.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (.f64 841/108 x)))))
0.0ms	x	@	0	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (.f64 841/108 x)))))
0.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (.f64 841/108 x)))))
0.0ms	x	@	0	(*.f64 x 707281/11664)
0.0ms	x	@	-inf	(*.f64 x 707281/11664)

rewrite91.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`associate-/r*`
1026×	`associate-/l*`
422×	`add-sqr-sqrt`
404×	`pow1`
404×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	66
1	454	58
2	5755	58

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (.f64 841/108 x)))))
(*.f64 x 707281/11664)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (/.f64 1 (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389)) (/.f64 1 (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389)) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389)) (/.f64 1 (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))) (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -64/24389 (pow.f64 (*.f64 x 841/108) 3)) (/.f64 -1 (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (*.f64 x 841/108) (sqrt.f64 (+.f64 16/841 (*.f64 -29/27 x))))) (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (hypot.f64 (*.f64 x 841/108) (sqrt.f64 (+.f64 16/841 (*.f64 -29/27 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))) 2)) (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (cbrt.f64 (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (+.f64 16/841 (*.f64 -29/27 x)) 2))) (+.f64 (*.f64 x 29/27) (-.f64 (pow.f64 (*.f64 x 841/108) 2) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (pow.f64 (pow.f64 (*.f64 x 841/108) 2) 3) (pow.f64 (+.f64 16/841 (*.f64 -29/27 x)) 3))) (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (+.f64 16/841 (*.f64 -29/27 x)) (+.f64 16/841 (-.f64 (*.f64 -29/27 x) (pow.f64 (*.f64 x 841/108) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389)) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389)) (cbrt.f64 (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389)) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389)) 2) (hypot.f64 (*.f64 x 841/108) (sqrt.f64 (+.f64 16/841 (*.f64 -29/27 x))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389)) (hypot.f64 (*.f64 x 841/108) (sqrt.f64 (+.f64 16/841 (*.f64 -29/27 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389)) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))) 2)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)) (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 -16/841 (-.f64 (*.f64 x 29/27) (pow.f64 (*.f64 x 841/108) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) 3) (pow.f64 (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))))))

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

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

800×	`distribute-lft-in`
762×	`distribute-rgt-in`
732×	`+-commutative`
640×	`associate-*r/`
640×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	2510
1	403	2146
2	1573	2112
3	6746	2112

Stop Event

1×	node limit

Counts

72 → 80

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.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 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))))) 1)
(.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (/.f64 1 (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x))) 1)
(.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x))))
(.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389)) (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389)) (/.f64 1 (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x)))))
(.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x)))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389)) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389)) (/.f64 1 (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x)))))
(.f64 (/.f64 1 (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x))) (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389))
(.f64 (-.f64 -64/24389 (pow.f64 (.f64 x 841/108) 3)) (/.f64 -1 (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x))))
(.f64 (/.f64 1 (hypot.f64 (.f64 x 841/108) (sqrt.f64 (+.f64 16/841 (.f64 -29/27 x))))) (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (hypot.f64 (.f64 x 841/108) (sqrt.f64 (+.f64 16/841 (.f64 -29/27 x))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x))) 2)) (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (cbrt.f64 (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (+.f64 16/841 (.f64 -29/27 x)) 2))) (+.f64 (.f64 x 29/27) (-.f64 (pow.f64 (.f64 x 841/108) 2) 16/841)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (pow.f64 (pow.f64 (.f64 x 841/108) 2) 3) (pow.f64 (+.f64 16/841 (.f64 -29/27 x)) 3))) (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (+.f64 16/841 (.f64 -29/27 x)) (+.f64 16/841 (-.f64 (.f64 -29/27 x) (pow.f64 (*.f64 x 841/108) 2))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389)) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x))) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389)) (cbrt.f64 (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389)) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389)) 2) (hypot.f64 (.f64 x 841/108) (sqrt.f64 (+.f64 16/841 (.f64 -29/27 x))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389)) (hypot.f64 (.f64 x 841/108) (sqrt.f64 (+.f64 16/841 (*.f64 -29/27 x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389)) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x))) 2)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x)) (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389)) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 -16/841 (-.f64 (.f64 x 29/27) (pow.f64 (*.f64 x 841/108) 2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) 3) (pow.f64 (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x)))))
(-.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 x) 707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 707281/11664))))
(cbrt.f64 (pow.f64 (*.f64 x 707281/11664) 3))
(expm1.f64 (log1p.f64 (*.f64 x 707281/11664)))
(exp.f64 (log.f64 (*.f64 x 707281/11664)))
(exp.f64 (.f64 (log.f64 (.f64 x 707281/11664)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 707281/11664)))

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
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)
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	@	0	(cbrt.f64 (*.f64 841/108 x))

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	186	18
2	1863	18

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1408×	`associate-+r+`
1366×	`distribute-rgt-in`
1332×	`distribute-lft-in`
1290×	`associate-+l+`
950×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	1110
1	238	834
2	806	552
3	2608	552

Stop Event

1×	node limit

Counts

52 → 61

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 20 computations (37.5% saved)

series5.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
0.0ms	x	@	-inf	(*.f64 841/108 (sqrt.f64 x))
0.0ms	x	@	0	(*.f64 841/108 (sqrt.f64 x))
0.0ms	x	@	inf	(*.f64 841/108 (sqrt.f64 x))
0.0ms	x	@	-inf	(+.f64 (.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 4 29))

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`*-commutative`
650×	`unswap-sqr`
588×	`swap-sqr`
394×	`sqr-pow`
364×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	256	27
2	2896	27

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

Outputs

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

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

((#(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 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (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 (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 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))))) (#(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 1 (fma.f64 841/108 x -4/29)) (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) 707281/11664)) 16/841) (/.f64 1 (+.f64 (*.f64 x -841/108) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 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simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1340×	`associate-/l*`
1110×	`unswap-sqr`
1054×	`associate-/r*`
684×	`associate-*r/`
524×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	4923
1	916	4347
2	3176	4213

Stop Event

1×	node limit

Counts

143 → 201

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

eval555.0ms (7.8%)

Compiler: Compiled 25330 to 19289 computations (23.8% saved)

prune305.0ms (4.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1127	6	1133
Fresh	5	1	6
Picked	1	0	1
Done	3	3	6
Total	1136	10	1146

Error

Counts

1146 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.4b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
▶	20.6b	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))
▶	48.6b	(/.f64 (+.f64 (.f64 x (.f64 x 707281/11664)) -16/841) (*.f64 x 841/108))
▶	48.6b	(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)
▶	0.2b	(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))
✓	0.1b	(+.f64 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1) 4/29)
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
	32.3b	(*.f64 (pow.f64 (cbrt.f64 841/108) 3) x)
✓	32.1b	(*.f64 841/108 x)
	30.7b	4/29

Compiler

Compiled 176 to 139 computations (21% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 841/108 x) 4/29)
✓	0.1b	(/.f64 1 (+.f64 (*.f64 841/108 x) 4/29))
	0.1b	(*.f64 841/108 x)
✓	0.2b	(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))

Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1916×	`add-sqr-sqrt`
1874×	`*-un-lft-identity`
1774×	`add-cube-cbrt`
1762×	`add-cbrt-cube`
184×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	220	24
2	2414	24

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

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

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1190×	`unswap-sqr`
966×	`associate-+r+`
740×	`associate-*r/`
732×	`associate-+l+`
554×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	1436
1	386	1376
2	1490	1324
3	6633	1324

Stop Event

1×	node limit

Counts

82 → 102

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1728/707281 (.f64 (.f64 x x) 841/108))
✓	0.1b	(.f64 (.f64 x x) 841/108)
✓	15.3b	(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)

Compiler

Compiled 28 to 15 computations (46.4% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite86.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) -1728/707281) (*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 841/108))) (*.f64 (/.f64 1 x) -1728/707281))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1728/707281 (/.f64 1 x)) (*.f64 (*.f64 x (*.f64 x 841/108)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 841/108)) (/.f64 1 x)) (*.f64 -1728/707281 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x)) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) 2) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 x (*.f64 x 841/108) -1728/707281))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1728/707281 (*.f64 (*.f64 x x) -841/108)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) x) (sqrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) x) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) x) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 841/108) 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-1728/707281)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 841/108)) (*.f64 x (sqrt.f64 841/108)) -1728/707281)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 707281/11664)) (cbrt.f64 (*.f64 x (*.f64 x 841/108))) -1728/707281)))))

simplify122.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

196 → 226

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x 707281/11664))
✓	0.1b	(*.f64 x 841/108)
	0.2b	(*.f64 x 707281/11664)
✓	15.4b	(/.f64 (+.f64 (.f64 x (.f64 x 707281/11664)) -16/841) (*.f64 x 841/108))

Compiler

Compiled 34 to 24 computations (29.4% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite76.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`associate-*r/`
1354×	`associate-/r*`
1136×	`associate-/l*`
1100×	`*-commutative`
1058×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	242	47
2	3155	47

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

732×	`associate-*r/`
626×	`distribute-lft-in`
614×	`associate-/l*`
608×	`distribute-rgt-in`
606×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	170	2183
1	413	2147
2	1598	2147
3	6866	2147

Stop Event

1×	node limit

Counts

113 → 92

Calls

Call 1

Inputs
(/.f64 -1728/707281 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 707281/11664 (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 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x)))) 1)
(.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))
(.f64 (.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x)) 1)
(.f64 1 (.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x)))
(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))) (sqrt.f64 (.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))))
(.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 108/841 x)))
(.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))) 2))
(.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) 2) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))) 2) (cbrt.f64 (.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) 2) (.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) (/.f64 108/841 x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) x) 108/841)
(.f64 (/.f64 108/841 x) (fma.f64 (.f64 x x) 707281/11664 -16/841))
(.f64 (-.f64 16/841 (pow.f64 (.f64 x 841/108) 2)) (/.f64 -108/841 x))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) (/.f64 108/841 x)) (sqrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) (/.f64 108/841 x)) (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) 1))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) (/.f64 108/841 x)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) 2))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) (/.f64 108/841 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) 2) 1))
(.f64 (/.f64 1 x) (/.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) 841/108))
(.f64 108/841 (/.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) x))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x 841/108))) (/.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (sqrt.f64 (.f64 x 841/108))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2)) (/.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (cbrt.f64 (.f64 x 841/108))))
(.f64 (/.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) 841/108) (/.f64 1 x))
(.f64 (/.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (sqrt.f64 (.f64 x 841/108))) (/.f64 1 (sqrt.f64 (.f64 x 841/108))))
(.f64 (/.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (cbrt.f64 (.f64 x 841/108))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2)))
(.f64 (/.f64 -108/841 x) (-.f64 16/841 (pow.f64 (.f64 x 841/108) 2)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) 1) (.f64 (sqrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) (/.f64 108/841 x)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) x) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 841/108))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) 2) 1) (.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) (/.f64 108/841 x)))
(.f64 (/.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) x) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 2) 841/108))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) 841/108) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) x))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2)) (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) (cbrt.f64 (*.f64 x 841/108))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) (cbrt.f64 (.f64 x 841/108))) (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) 2) x) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 841/108))
(.f64 (/.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) 841/108) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 2) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) 2) 841/108) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) 2) (sqrt.f64 (.f64 x 841/108))) (/.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) (sqrt.f64 (*.f64 x 841/108))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) (sqrt.f64 (.f64 x 841/108))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) 2) (sqrt.f64 (*.f64 x 841/108))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841)) 2) (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2)) (cbrt.f64 (.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))))
(pow.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x)) 1)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))) 2)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x)) 3) 1/3)
(pow.f64 (/.f64 (.f64 x 841/108) (fma.f64 (.f64 x x) 707281/11664 -16/841)) -1)
(neg.f64 (/.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (.f64 x -841/108)))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (/.f64 108/841 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x)))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x)) 3))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))))
(exp.f64 (log.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(pow.f64 (pow.f64 (*.f64 x 841/108) 2) 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 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x 841/108) 2))
(fabs.f64 (*.f64 x 841/108))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(log.f64 (+.f64 1 (expm1.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 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x 841/108) 2))) 1)
(pow.f64 (pow.f64 (*.f64 x 841/108) 2) 1)
(pow.f64 (*.f64 x 841/108) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 x 841/108) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 x 841/108) 2) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 707281/11664)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x 841/108) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x 841/108) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 841/108) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x 841/108) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 841/108) 2)))

Outputs
(/.f64 -1728/707281 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 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 (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))
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(neg.f64 (/.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (.f64 x -841/108)))
(.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (/.f64 108/841 x))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x)) 2))
(.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (/.f64 108/841 x))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (/.f64 108/841 x)))
(.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (/.f64 108/841 x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x)))))
(.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (/.f64 108/841 x))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x)) 3))
(.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (/.f64 108/841 x))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))))
(.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (/.f64 108/841 x))
(exp.f64 (log.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))))
(.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (/.f64 108/841 x))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))))
(.f64 (fma.f64 (.f64 x x) 707281/11664 -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (/.f64 108/841 x))
(.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (/.f64 108/841 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(*.f64 x 841/108)
(pow.f64 (pow.f64 (*.f64 x 841/108) 2) 1/2)
(*.f64 x 841/108)
(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 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(*.f64 x 841/108)
(sqrt.f64 (pow.f64 (*.f64 x 841/108) 2))
(*.f64 x 841/108)
(fabs.f64 (*.f64 x 841/108))
(*.f64 x 841/108)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 x 841/108)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(*.f64 x 841/108)
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(*.f64 x 841/108)
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(*.f64 x 841/108)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 x 841/108)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 x 841/108)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x 841/108) 2))) 1)
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(pow.f64 (pow.f64 (*.f64 x 841/108) 2) 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 (pow.f64 (*.f64 x 841/108) 2) 3) 1/3)
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 x 841/108) 2) 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 707281/11664)))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x 841/108) 2))))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x 841/108) 2) 3))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 841/108) 2)))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(exp.f64 (log.f64 (pow.f64 (*.f64 x 841/108) 2)))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 841/108) 2)))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 4/29 (*.f64 841/108 x))
	0.1b	(*.f64 841/108 x)
✓	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	15.2b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.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 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
0.0ms	x	@	inf	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
0.0ms	x	@	-inf	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
0.0ms	x	@	-inf	(.f64 (.f64 x x) 707281/11664)
0.0ms	x	@	0	(-.f64 4/29 (*.f64 841/108 x))

rewrite89.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1822×	`associate-/l*`
1790×	`associate-/r*`
1786×	`associate-*l/`
298×	`add-sqr-sqrt`
286×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	300	39
2	4076	39

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

Inputs
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(.f64 (.f64 x x) 707281/11664)
(-.f64 4/29 (*.f64 841/108 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 (*.f64 x x) -707281/11664) (+.f64 -4/29 (*.f64 x 841/108)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) -707281/11664) (+.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 (*.f64 x x) -707281/11664) (+.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 x (*.f64 x 707281/11664))) (/.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 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(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 x (*.f64 x 707281/11664)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 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 (pow.f64 (exp.f64 x) x) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 707281/11664))))))))

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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))))))))

simplify94.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

828×	`distribute-lft-neg-in`
762×	`distribute-rgt-neg-in`
590×	`associate-/r*`
580×	`times-frac`
552×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	5284
1	1008	4454
2	5460	4450

Stop Event

1×	node limit

Counts

180 → 231

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
4/29
(+.f64 (*.f64 -841/108 x) 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(*.f64 -841/108 x)
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(+.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 x 841/108))
(+.f64 (*.f64 x 841/108) 4/29)
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(-.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 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 25/29)
(-.f64 (exp.f64 (log.f64 (+.f64 33/29 (*.f64 x 841/108)))) 1)
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(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664)))) 1)
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(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))
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(/.f64 (.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (/.f64 1 (+.f64 4/29 (.f64 x 841/108)))) (+.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))) (/.f64 1 (+.f64 4/29 (.f64 x 841/108)))) (neg.f64 (+.f64 16/841 (.f64 x (*.f64 x 707281/11664)))))
(/.f64 (.f64 (neg.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (/.f64 1 (+.f64 4/29 (.f64 x 841/108)))) (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))) (/.f64 1 (+.f64 4/29 (.f64 x 841/108)))) (+.f64 16/841 (.f64 x (*.f64 x 707281/11664))))
(/.f64 (.f64 (+.f64 4096/594823321 (pow.f64 (.f64 (.f64 x x) -707281/11664) 3)) (/.f64 1 (+.f64 4/29 (.f64 x 841/108)))) (+.f64 256/707281 (-.f64 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664)) (.f64 16/841 (.f64 (.f64 x x) -707281/11664)))))
(/.f64 (.f64 (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) 1) (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (*.f64 29/27 x))))
(/.f64 (.f64 (neg.f64 (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) 1) (neg.f64 (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (*.f64 29/27 x)))))
(/.f64 (.f64 (-.f64 16/841 (.f64 (.f64 x -841/108) (.f64 x -841/108))) 1) (+.f64 4/29 (*.f64 x 841/108)))
(/.f64 (.f64 (+.f64 64/24389 (pow.f64 (.f64 x -841/108) 3)) 1) (+.f64 16/841 (-.f64 (.f64 (.f64 x -841/108) (.f64 x -841/108)) (.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (sqrt.f64 (-.f64 4/29 (.f64 x 841/108)))) (sqrt.f64 (+.f64 4/29 (*.f64 x 841/108))))
(/.f64 (.f64 (sqrt.f64 (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (sqrt.f64 (-.f64 4/29 (.f64 x 841/108)))) (sqrt.f64 (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (.f64 29/27 x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (pow.f64 (cbrt.f64 (-.f64 4/29 (.f64 x 841/108))) 2)) (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))))
(/.f64 (.f64 (cbrt.f64 (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (-.f64 4/29 (.f64 x 841/108))) 2)) (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (.f64 29/27 x)))))
(/.f64 (.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (/.f64 1 (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (.f64 29/27 x))))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))
(/.f64 (.f64 (-.f64 262144/14507145975869 (pow.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (.f64 29/27 x))))) (+.f64 4096/594823321 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) (.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (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 (/.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 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x 841/108)))))
(/.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (sqrt.f64 (+.f64 4/29 (.f64 x 841/108)))) (sqrt.f64 (+.f64 4/29 (.f64 x 841/108))))
(/.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (cbrt.f64 (+.f64 4/29 (.f64 x 841/108)))) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))) 2))
(/.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))) 2)) (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))))
(/.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 -16/841 (.f64 x (.f64 x 707281/11664)))) (/.f64 -1 (-.f64 4/29 (*.f64 x 841/108))))
(/.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.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 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.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 (+.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 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (.f64 29/27 x))))
(/.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.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 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.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 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.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 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.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 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.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))))
(/.f64 (/.f64 (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) 1) (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (.f64 29/27 x))))
(/.f64 (/.f64 (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (sqrt.f64 (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (.f64 29/27 x))))) (sqrt.f64 (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (*.f64 29/27 x)))))
(/.f64 (/.f64 (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (.f64 29/27 x)))) (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (.f64 29/27 x)))))) (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (*.f64 29/27 x)))))
(pow.f64 (-.f64 4/29 (*.f64 x 841/108)) 1)
(pow.f64 (sqrt.f64 (-.f64 4/29 (*.f64 x 841/108))) 2)
(pow.f64 (cbrt.f64 (-.f64 4/29 (*.f64 x 841/108))) 3)
(pow.f64 (pow.f64 (-.f64 4/29 (*.f64 x 841/108)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 4/29 (*.f64 x 841/108)) 2))
(log.f64 (exp.f64 (-.f64 4/29 (*.f64 x 841/108))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4/29 (*.f64 x 841/108)))))
(cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 x 841/108)) 3))
(expm1.f64 (log1p.f64 (-.f64 4/29 (*.f64 x 841/108))))
(exp.f64 (log.f64 (-.f64 4/29 (*.f64 x 841/108))))
(exp.f64 (.f64 (log.f64 (-.f64 4/29 (.f64 x 841/108))) 1))
(log1p.f64 (expm1.f64 (-.f64 4/29 (*.f64 x 841/108))))

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 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 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))
4/29
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 4/29)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 x 841/108) 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (/.f64 16/841 (-.f64 4/29 (.f64 x 841/108))) (neg.f64 (/.f64 (.f64 (.f64 x x) -707281/11664) (+.f64 -4/29 (.f64 x 841/108)))))
(-.f64 (/.f64 16/841 (-.f64 4/29 (.f64 841/108 x))) (/.f64 (.f64 x x) (/.f64 (+.f64 (*.f64 841/108 x) -4/29) -707281/11664)))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29)) 707281/11664))
(+.f64 (neg.f64 (/.f64 (.f64 (.f64 x x) -707281/11664) (+.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 841/108 x))) (/.f64 (.f64 x x) (/.f64 (+.f64 (*.f64 841/108 x) -4/29) -707281/11664)))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29)) 707281/11664))
(-.f64 4/29 (*.f64 x -841/108))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (/.f64 16/841 (-.f64 4/29 (.f64 x 841/108))) (/.f64 (.f64 (.f64 x x) -707281/11664) (+.f64 -4/29 (.f64 x 841/108))))
(-.f64 (/.f64 16/841 (-.f64 4/29 (.f64 841/108 x))) (/.f64 (.f64 x x) (/.f64 (+.f64 (*.f64 841/108 x) -4/29) -707281/11664)))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (/.f64 (.f64 x x) (fma.f64 841/108 x -4/29)) 707281/11664))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 25/29)
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(+.f64 4/29 (expm1.f64 (log1p.f64 (*.f64 841/108 x))))
(-.f64 (exp.f64 (log.f64 (+.f64 33/29 (*.f64 x 841/108)))) 1)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x 841/108)))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29)
(+.f64 4/29 (expm1.f64 (log1p.f64 (*.f64 841/108 x))))
(.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.f64 1 (-.f64 4/29 (.f64 x 841/108))))
(.f64 (+.f64 16/841 (.f64 x (.f64 x -707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(.f64 (+.f64 4/29 (.f64 x 841/108)) 1)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(.f64 1 (+.f64 4/29 (.f64 x 841/108)))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x 841/108)))))
(.f64 (+.f64 16/841 (.f64 x (.f64 x -707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(.f64 (sqrt.f64 (+.f64 4/29 (.f64 x 841/108))) (sqrt.f64 (+.f64 4/29 (*.f64 x 841/108))))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x 841/108)))))
(.f64 (+.f64 16/841 (.f64 x (.f64 x -707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(.f64 (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))) 2))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))) 2) (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(.f64 (/.f64 1 (-.f64 4/29 (.f64 x 841/108))) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))
(.f64 (+.f64 16/841 (.f64 x (.f64 x -707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(.f64 (+.f64 -16/841 (.f64 x (.f64 x 707281/11664))) (/.f64 -1 (-.f64 4/29 (.f64 x 841/108))))
(.f64 (+.f64 -16/841 (.f64 x (.f64 x 707281/11664))) (/.f64 -1 (-.f64 4/29 (.f64 841/108 x))))
(.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (/.f64 -1 (fma.f64 x -841/108 4/29)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (fma.f64 x -841/108 4/29))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 4/29 (.f64 x 841/108)))) (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (sqrt.f64 (-.f64 4/29 (*.f64 x 841/108)))))
(.f64 (+.f64 16/841 (.f64 x (.f64 x -707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(.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 16/841 (.f64 x (.f64 x -707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (+.f64 4/29 (.f64 x 841/108)))
(fma.f64 x 841/108 4/29)
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(/.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.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)))))
(fma.f64 x -841/108 4/29)
(/.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.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 16/841 (.f64 x (*.f64 x -707281/11664))) (/.f64 1 (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 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (.f64 29/27 x))))
(/.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (fma.f64 x (.f64 x 707281/11664) (*.f64 x 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(/.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.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 (+.f64 16/841 (.f64 x (.f64 x -707281/11664))) (sqrt.f64 (+.f64 16/841 (.f64 x (.f64 x -707281/11664))))) (/.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x)))))
(.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (/.f64 (fma.f64 x (.f64 x -707281/11664) 16/841) (.f64 (sqrt.f64 (fma.f64 x (.f64 x -707281/11664) 16/841)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))
(/.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.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)))))
(fma.f64 x -841/108 4/29)
(/.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.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))))
(fma.f64 x -841/108 4/29)
(/.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.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 16/841 (.f64 x (.f64 x -707281/11664))) (/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 x (.f64 x -707281/11664)))) 2) (/.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) (cbrt.f64 (sqrt.f64 (-.f64 4/29 (.f64 841/108 x)))))) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x)))))
(/.f64 (fma.f64 x (.f64 x -707281/11664) 16/841) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -707281/11664) 16/841)) 2) (/.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (/.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)))))))
(/.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.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))))
(/.f64 (+.f64 16/841 (.f64 x (.f64 x -707281/11664))) (/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 x (.f64 x -707281/11664)))) 2) (cbrt.f64 (fma.f64 x 841/108 4/29))) (pow.f64 (cbrt.f64 (-.f64 4/29 (.f64 841/108 x))) 2)))
(/.f64 (fma.f64 x (.f64 x -707281/11664) 16/841) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -707281/11664) 16/841)) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (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 x (.f64 x 707281/11664)) (.f64 29/27 x))))
(/.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (fma.f64 x (.f64 x 707281/11664) (*.f64 x 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(/.f64 (/.f64 (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (sqrt.f64 (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (.f64 29/27 x))))) (sqrt.f64 (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (*.f64 29/27 x)))))
(/.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (fma.f64 x (.f64 x 707281/11664) (*.f64 x 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(/.f64 (/.f64 (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (.f64 29/27 x)))) (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (.f64 29/27 x)))))) (cbrt.f64 (+.f64 16/841 (+.f64 (.f64 x (.f64 x 707281/11664)) (*.f64 29/27 x)))))
(/.f64 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (fma.f64 x (.f64 x 707281/11664) (*.f64 x 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(pow.f64 (-.f64 4/29 (*.f64 x 841/108)) 1)
(fma.f64 x -841/108 4/29)
(pow.f64 (sqrt.f64 (-.f64 4/29 (*.f64 x 841/108))) 2)
(fma.f64 x -841/108 4/29)
(pow.f64 (cbrt.f64 (-.f64 4/29 (*.f64 x 841/108))) 3)
(fma.f64 x -841/108 4/29)
(pow.f64 (pow.f64 (-.f64 4/29 (*.f64 x 841/108)) 3) 1/3)
(fma.f64 x -841/108 4/29)
(sqrt.f64 (pow.f64 (-.f64 4/29 (*.f64 x 841/108)) 2))
(sqrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) 2))
(fabs.f64 (fma.f64 x -841/108 4/29))
(log.f64 (exp.f64 (-.f64 4/29 (*.f64 x 841/108))))
(fma.f64 x -841/108 4/29)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4/29 (*.f64 x 841/108)))))
(fma.f64 x -841/108 4/29)
(cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 x 841/108)) 3))
(fma.f64 x -841/108 4/29)
(expm1.f64 (log1p.f64 (-.f64 4/29 (*.f64 x 841/108))))
(fma.f64 x -841/108 4/29)
(exp.f64 (log.f64 (-.f64 4/29 (*.f64 x 841/108))))
(fma.f64 x -841/108 4/29)
(exp.f64 (.f64 (log.f64 (-.f64 4/29 (.f64 x 841/108))) 1))
(fma.f64 x -841/108 4/29)
(log1p.f64 (expm1.f64 (-.f64 4/29 (*.f64 x 841/108))))
(fma.f64 x -841/108 4/29)

localize34.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 x 707281/11664)
	0.2b	(.f64 707281/11664 (.f64 x x))
✓	0.6b	(*.f64 x 29/27)
✓	19.7b	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))

Compiler

Compiled 92 to 61 computations (33.7% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))
0.0ms	x	@	inf	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))
0.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))
0.0ms	x	@	0	(*.f64 x 29/27)
0.0ms	x	@	-inf	(*.f64 x 29/27)

rewrite87.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`associate-/r*`
994×	`associate-/l*`
410×	`add-sqr-sqrt`
392×	`*-un-lft-identity`
390×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	66
1	435	58
2	5529	58

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))
(*.f64 x 29/27)

Outputs

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

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

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

778×	`distribute-lft-in`
756×	`+-commutative`
736×	`distribute-rgt-in`
656×	`associate-*r/`
626×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	2494
1	410	2116
2	1621	2110
3	6590	2110

Stop Event

1×	node limit

Counts

72 → 75

Calls

Call 1

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

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27))))) 1)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.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 (pow.f64 (.f64 x 841/108) 3) 64/24389) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.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 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27))) 1)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.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 1 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))
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(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.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)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 -16/841 (-.f64 (.f64 x 29/27) (.f64 x (.f64 x 707281/11664))))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 64/24389)) (+.f64 -16/841 (.f64 x (-.f64 29/27 (*.f64 x 707281/11664)))))
(/.f64 (-.f64 -64/24389 (pow.f64 (.f64 841/108 x) 3)) (fma.f64 x (+.f64 29/27 (.f64 -707281/11664 x)) -16/841))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 -64/24389) (fma.f64 x (+.f64 29/27 (*.f64 x -707281/11664)) -16/841))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27))) 2))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.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)))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.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)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.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)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27))) 3))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.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)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) 3) (pow.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)) 3)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.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)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.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)))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.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)))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))) 1))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.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)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x -29/27 (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.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 (exp.f64 (log1p.f64 (*.f64 x 29/27))) 1)
(*.f64 x 29/27)
(pow.f64 (*.f64 x 29/27) 1)
(*.f64 x 29/27)
(pow.f64 (sqrt.f64 (*.f64 x 29/27)) 2)
(*.f64 x 29/27)
(pow.f64 (cbrt.f64 (*.f64 x 29/27)) 3)
(*.f64 x 29/27)
(pow.f64 (*.f64 24389/19683 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 24389/19683 (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (*.f64 x 29/27) 2))
(*.f64 x 29/27)
(log.f64 (pow.f64 (exp.f64 29/27) x))
(*.f64 x 29/27)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 29/27))))
(*.f64 x 29/27)
(cbrt.f64 (*.f64 24389/19683 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 29/27)))
(*.f64 x 29/27)
(exp.f64 (log.f64 (*.f64 x 29/27)))
(*.f64 x 29/27)
(exp.f64 (.f64 (log.f64 (.f64 x 29/27)) 1))
(*.f64 x 29/27)
(log1p.f64 (expm1.f64 (*.f64 x 29/27)))
(*.f64 x 29/27)

eval332.0ms (4.7%)

Compiler: Compiled 17250 to 13034 computations (24.4% saved)

prune189.0ms (2.7%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	847	1	848
Fresh	0	2	2
Picked	0	1	1
Done	2	5	7
Total	849	9	858

Error

Counts

858 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.4b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
✓	20.6b	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))
✓	48.6b	(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)
	32.2b	(/.f64 1 (/.f64 108/841 x))
✓	0.1b	(+.f64 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1) 4/29)
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
	32.3b	(*.f64 (pow.f64 (cbrt.f64 841/108) 3) x)
✓	32.1b	(*.f64 841/108 x)
	30.7b	4/29

Compiler

Compiled 83 to 66 computations (20.5% saved)

regimes46.0ms (0.7%)

Counts

27 → 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 1 (*.f64 841/108 x)) 1) 4/29)
(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))
(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)
(.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))
(/.f64 (+.f64 (.f64 x (.f64 x 707281/11664)) -16/841) (*.f64 x 841/108))
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (.f64 841/108 x)))))
(fma.f64 841/108 x 4/29)
(/.f64 1 (/.f64 1 (fma.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 (pow.f64 (cbrt.f64 841/108) 3) x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
(+.f64 (.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 4 29))
(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 841/108 (cbrt.f64 x))) (/.f64 4 29))
(+.f64 (.f64 (sqrt.f64 (.f64 841/108 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 841/108))) (/.f64 4 29))

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

Calls

3 calls:

18.0ms	(*.f64 (/.f64 841 108) x)
13.0ms	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 302 to 232 computations (23.2% saved)

regimes27.0ms (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 1 (*.f64 841/108 x)) 1) 4/29)
(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))
(/.f64 (+.f64 -1728/707281 (.f64 (.f64 x x) 841/108)) x)
(.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))
(/.f64 (+.f64 (.f64 x (.f64 x 707281/11664)) -16/841) (*.f64 x 841/108))
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (.f64 841/108 x)))))

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

Calls

3 calls:

10.0ms	(*.f64 (/.f64 841 108) x)
8.0ms	x
5.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Results

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

Compiler

Compiled 193 to 144 computations (25.4% saved)

regimes10.0ms (0.1%)

Accuracy

Total -60.5b remaining (-5236.9%)

Threshold costs -60.5b (-5236.9%)

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
1.2b	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch33.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	2.0781513000380305e-7	0.02832668147350202
19.0ms	-63.962050854720786	-3.7957732889602613e-16

Results

26.0ms

304×

body

256

valid

Compiler

Compiled 166 to 145 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 -1224979098644775/72057594037927936) (.f64 841/108 x) (if (<=.f64 x 1261007895663739/72057594037927936) 4/29 (.f64 841/108 x)))
4/29

Outputs
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -1224979098644775/72057594037927936) (.f64 841/108 x) (if (<=.f64 x 1261007895663739/72057594037927936) 4/29 (.f64 841/108 x)))
4/29

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness16.0ms (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 (0.4%)

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