Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample829.0ms (14.5%)

Results

777.0ms	8253×	body	256	valid
1.0ms	3×	body	1024	valid
0.0ms	4×	body	256	infinite

Bogosity

preprocess45.0ms (0.8%)

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)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.09%

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
✓	0.2%	(*.f64 (/.f64 841 108) x)

Compiler

Compiled 26 to 23 computations (11.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite107.0ms (1.9%)

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)))))

simplify144.0ms (2.5%)

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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 6 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify68.0ms (1.2%)

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)

eval143.0ms (2.5%)

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

prune35.0ms (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

0.02%

Counts

227 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	22.08%	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
▶	22.88%	(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
▶	0.16%	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
	22.06%	(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (.f64 (/.f64 707281/11664 (+.f64 4/29 (.f64 x -841/108))) (.f64 x x)))
▶	54.48%	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
	0.88%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
▶	0.1%	(+.f64 (*.f64 841/108 x) 4/29)
▶	54.42%	(*.f64 841/108 x)
	46.02%	4/29

Compiler

Compiled 184 to 154 computations (16.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 841/108 x) 4/29)
✓	0.2%	(*.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)

rewrite117.0ms (2.1%)

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)))))

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 57

Calls

Call 1

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

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

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2%	(*.f64 841/108 x)
✓	0.23%	(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
✓	0.32%	(.f64 -707281/11664 (.f64 x x))
✓	21.21%	(/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))))

Compiler

Compiled 58 to 39 computations (32.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite107.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify207.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

206 → 287

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1%	(fma.f64 841/108 x 4/29)
✓	0.23%	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
✓	0.24%	(/.f64 1 (fma.f64 841/108 x 4/29))

Compiler

Compiled 23 to 19 computations (17.4% saved)

series34.0ms (0.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	x	@	-inf	(/.f64 1 (fma.f64 841/108 x 4/29))
0.0ms	x	@	inf	(/.f64 1 (fma.f64 841/108 x 4/29))
0.0ms	x	@	0	(/.f64 1 (fma.f64 841/108 x 4/29))
0.0ms	x	@	0	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
0.0ms	x	@	inf	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))

rewrite65.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1158×	`unswap-sqr`
984×	`associate-+r+`
716×	`associate-*r/`
708×	`associate-+l+`
548×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	1140
1	309	1106
2	1273	1098
3	6158	1098

Stop Event

1×	node limit

Counts

74 → 82

Calls

Call 1

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

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

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.07%	(sqrt.f64 (*.f64 841/108 x))
	0.2%	(*.f64 841/108 x)
✓	0.36%	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)

Compiler

Compiled 32 to 27 computations (15.6% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`add-sqr-sqrt`
1342×	`*-un-lft-identity`
1256×	`add-cube-cbrt`
1246×	`add-cbrt-cube`
1232×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	183	18
2	1765	18

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(sqrt.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 (*.f64 841/108 x) 1)))) (#(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 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 (pow.f64 (*.f64 841/108 x) 1/4) (*.f64 (pow.f64 (*.f64 841/108 x) 1/4) (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 841/108) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 841/108 x))))))) (#(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 (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 (*.f64 841/108 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (sqrt.f64 (*.f64 841/108 x))))))) (#(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 (*.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 (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 (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 (pow.f64 (sqrt.f64 841/108) 2) 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 log1p.f64 (expm1.f64 (*.f64 841/108 x)))))))

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

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1084×	`distribute-lft-in`
1070×	`associate-+r+`
1038×	`distribute-rgt-in`
958×	`associate-+l+`
816×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	989
1	209	731
2	815	473
3	2591	473

Stop Event

1×	node limit

Counts

47 → 54

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(*.f64 841/108 x)
(*.f64 x 841/108)
(.f64 (.f64 841/108 x) 1)
(.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))
(.f64 1 (.f64 841/108 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 841/108))
(.f64 (pow.f64 (.f64 841/108 x) 1/4) (.f64 (pow.f64 (.f64 841/108 x) 1/4) (sqrt.f64 (*.f64 841/108 x))))
(.f64 (sqrt.f64 841/108) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 841/108 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 841/108))
(.f64 (cbrt.f64 (.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))
(.f64 (cbrt.f64 (.f64 841/108 x)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 841/108 x))) (sqrt.f64 (*.f64 841/108 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (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 (sqrt.f64 x)) (sqrt.f64 x))
(.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 (pow.f64 (sqrt.f64 841/108) 2) 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)))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) 1)
(.f64 (sqrt.f64 (.f64 841/108 x)) 1)
(.f64 1 (sqrt.f64 (.f64 841/108 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 841/108))
(.f64 (pow.f64 (.f64 841/108 x) 1/4) (pow.f64 (*.f64 841/108 x) 1/4))
(*.f64 (sqrt.f64 841/108) (sqrt.f64 x))
(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 841/108 x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 1/2))
(pow.f64 (*.f64 841/108 x) 1/2)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1)
(pow.f64 (pow.f64 (*.f64 841/108 x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) 3)
(pow.f64 (pow.f64 (*.f64 841/108 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 841/108 x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 841/108 x))))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 841/108 x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))))
(log1p.f64 (expm1.f64 (sqrt.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 (.f64 841/108 x) 1)
(+.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 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 (pow.f64 (.f64 841/108 x) 1/4) (.f64 (pow.f64 (.f64 841/108 x) 1/4) (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 (sqrt.f64 841/108) (.f64 (sqrt.f64 x) (sqrt.f64 (*.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 (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 (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 (.f64 841/108 x)) (.f64 (cbrt.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 (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 (.f64 (sqrt.f64 (.f64 841/108 x)) (pow.f64 (.f64 841/108 x) 1/4)) (pow.f64 (*.f64 841/108 x) 1/4))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.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 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)) (sqrt.f64 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 (.f64 (sqrt.f64 (.f64 841/108 x)) (cbrt.f64 (.f64 841/108 x))) (cbrt.f64 (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 (sqrt.f64 841/108) 2) 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))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.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)
(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 (sqrt.f64 (*.f64 841/108 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(.f64 (sqrt.f64 (.f64 841/108 x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(.f64 1 (sqrt.f64 (.f64 841/108 x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 841/108))
(.f64 (pow.f64 (.f64 841/108 x) 1/4) (pow.f64 (*.f64 841/108 x) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (sqrt.f64 841/108) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 841/108))
(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 841/108 x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (*.f64 841/108 x) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (pow.f64 (*.f64 841/108 x) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (pow.f64 (*.f64 841/108 x) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(fabs.f64 (sqrt.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))

eval320.0ms (5.6%)

Compiler: Compiled 10922 to 8445 computations (22.7% saved)

prune97.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	548	5	553
Fresh	3	1	4
Picked	1	0	1
Done	2	2	4
Total	554	8	562

Error

Counts

562 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.08%	(/.f64 (-.f64 16/841 (.f64 707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
▶	0.16%	(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))
▶	54.58%	(/.f64 1 (/.f64 108/841 x))
▶	54.31%	(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
✓	0.1%	(+.f64 (*.f64 841/108 x) 4/29)
▶	22.04%	(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))
✓	54.42%	(*.f64 841/108 x)
	46.02%	4/29

Compiler

Compiled 128 to 104 computations (18.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(+.f64 (*.f64 841/108 x) 4/29)
	0.2%	(*.f64 841/108 x)
✓	0.23%	(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))
✓	0.24%	(/.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	@	-inf	(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))
0.0ms	x	@	0	(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))

rewrite67.0ms (1.2%)

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

Outputs

((#(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))))))))

((#(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)))))

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1190×	`unswap-sqr`
992×	`associate-+r+`
730×	`associate-+l+`
726×	`associate-*r/`
588×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	1436
1	386	1376
2	1494	1324
3	6672	1324

Stop Event

1×	node limit

Counts

82 → 102

Calls

Call 1

Inputs
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(+.f64 29/4 (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x)))
(+.f64 29/4 (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(-.f64 (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))))
(+.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)

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.49%	(/.f64 1 (/.f64 108/841 x))
✓	0.51%	(/.f64 108/841 x)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite61.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	149	14
2	1729	14

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

58 → 55

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
	0.51%	(/.f64 108/841 x)
✓	0.78%	(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
✓	1.12%	(/.f64 46656/20511149 (*.f64 x x))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 46656/20511149 (*.f64 x x))
0.0ms	x	@	0	(/.f64 46656/20511149 (*.f64 x x))
0.0ms	x	@	0	(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
0.0ms	x	@	0	(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
0.0ms	x	@	inf	(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))

rewrite134.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	253	57
2	3500	57

Stop Event

1×	node limit

Counts

3 → 291

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 46656/20511149 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 46656/20511149 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 46656/20511149 (neg.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 46656/20511149 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 46656/20511149) x) (/.f64 (sqrt.f64 46656/20511149) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 46656/20511149) x) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 46656/20511149 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 46656/20511149 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 46656/20511149)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -46656/20511149 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (pow.f64 x -2) -46656/20511149))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)) (neg.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)) (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149))) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 46656/20511149 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x)) (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) -46656/20511149)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149))) (sqrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)) (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)))) (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x))) (/.f64 (sqrt.f64 46656/20511149) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))) (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 46656/20511149) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 20511149/46656) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x -2) -46656/20511149))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 46656/20511149 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 46656/20511149) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 46656/20511149 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 46656/20511149 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 46656/20511149 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 46656/20511149 (pow.f64 x -2))))))))

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simplify156.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1560×	`associate-r`
1070×	`associate-l`
948×	`*-commutative`
884×	`associate-/r*`
756×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	730	16959
1	2129	16061

Stop Event

1×	node limit

Counts

327 → 506

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.04%	(-.f64 16/841 (.f64 707281/11664 (.f64 x x)))
	0.2%	(*.f64 841/108 x)
✓	0.32%	(.f64 707281/11664 (.f64 x x))
✓	20.45%	(/.f64 (-.f64 16/841 (.f64 707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 42 to 27 computations (35.7% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite93.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

Outputs

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

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simplify90.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

152 → 198

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 4/29 (*.f64 x 841/108))
(+.f64 (*.f64 x 841/108) 4/29)
(+.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (neg.f64 (.f64 (/.f64 x 11664/707281) (/.f64 x (+.f64 4/29 (*.f64 x -841/108))))))
(+.f64 (neg.f64 (.f64 (/.f64 x 11664/707281) (/.f64 x (+.f64 4/29 (.f64 x -841/108))))) (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))))
(-.f64 4/29 (*.f64 x -841/108))
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (.f64 (/.f64 x 11664/707281) (/.f64 x (+.f64 4/29 (*.f64 x -841/108)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 25/29)
(-.f64 (exp.f64 (log.f64 (+.f64 33/29 (*.f64 x 841/108)))) 1)
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x 841/108)))) 1)
(.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (/.f64 1 (+.f64 4/29 (.f64 x -841/108))))
(.f64 (+.f64 4/29 (.f64 x 841/108)) 1)
(.f64 1 (+.f64 4/29 (.f64 x 841/108)))
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(.f64 (sqrt.f64 (+.f64 4/29 (.f64 x 841/108))) (sqrt.f64 (+.f64 4/29 (*.f64 x 841/108))))
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(.f64 (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x 841/108))) 2) (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))))
(.f64 (/.f64 1 (+.f64 4/29 (.f64 x -841/108))) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))
(.f64 (+.f64 -16/841 (.f64 707281/11664 (.f64 x x))) (/.f64 -1 (+.f64 4/29 (.f64 x -841/108))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (+.f64 4/29 (.f64 x 841/108)))
(.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 16/841 (+.f64 (.f64 707281/11664 (.f64 x x)) (*.f64 29/27 x))))
(.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 1) (/.f64 (sqrt.f64 (+.f64 4/29 (.f64 x 841/108))) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (/.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
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(.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))))))
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(pow.f64 (+.f64 4/29 (*.f64 x 841/108)) 1)
(pow.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x 841/108))) 2)
(pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x 841/108))) 3)
(pow.f64 (pow.f64 (+.f64 4/29 (*.f64 x 841/108)) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 4/29 (*.f64 x 841/108))) -1)
(neg.f64 (/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (+.f64 -4/29 (*.f64 x 841/108))))
(sqrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x 841/108)) 2))
(log.f64 (exp.f64 (+.f64 4/29 (*.f64 x 841/108))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 4/29 (*.f64 x 841/108)))))
(cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x 841/108)) 3))
(expm1.f64 (log.f64 (+.f64 33/29 (*.f64 x 841/108))))
(exp.f64 (log.f64 (+.f64 4/29 (*.f64 x 841/108))))
(exp.f64 (.f64 (log.f64 (+.f64 4/29 (.f64 x 841/108))) 1))
(log1p.f64 (expm1.f64 (+.f64 4/29 (*.f64 x 841/108))))
(-.f64 (exp.f64 (log1p.f64 (.f64 707281/11664 (.f64 x x)))) 1)
(pow.f64 (.f64 707281/11664 (.f64 x x)) 1)
(pow.f64 (*.f64 x 841/108) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))
(log.f64 (pow.f64 (exp.f64 707281/11664) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 707281/11664 (.f64 x x)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (.f64 707281/11664 (.f64 x x))))
(exp.f64 (log.f64 (.f64 707281/11664 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 707281/11664 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 707281/11664 (.f64 x x))))
(+.f64 16/841 (.f64 (.f64 x x) -707281/11664))
(+.f64 16/841 (.f64 (.f64 (*.f64 x x) -707281/11664) 1))
(+.f64 (.f64 (.f64 x x) -707281/11664) 16/841)
(+.f64 (.f64 (.f64 (*.f64 x x) -707281/11664) 1) 16/841)
(+.f64 (-.f64 16/841 (exp.f64 (log1p.f64 (.f64 707281/11664 (.f64 x x))))) 1)
(.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664)) 1)
(.f64 1 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664)))
(.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664))))
(.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2) (cbrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664))))
(.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))
(.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (/.f64 1 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 1)
(/.f64 1 (/.f64 1 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(/.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (/.f64 1 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))))
(/.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2) (/.f64 1 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 (/.f64 1 (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))))
(/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (*.f64 x x)))))
(/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (/.f64 1 (/.f64 1 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (*.f64 x x)))))))
(/.f64 (sqrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (/.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x)))) (sqrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944)))))
(/.f64 (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x))) (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (cbrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)))) (/.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x)))) (cbrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))) (/.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x))) (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (neg.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (neg.f64 (+.f64 16/841 (.f64 707281/11664 (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (neg.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (*.f64 x x))))))
(/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664))) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(/.f64 (+.f64 4096/594823321 (pow.f64 (.f64 (.f64 x x) -707281/11664) 3)) (+.f64 256/707281 (-.f64 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664)) (.f64 16/841 (.f64 (.f64 x x) -707281/11664)))))
(/.f64 (.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))
(/.f64 (.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) 1) (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x)))))
(/.f64 (.f64 (neg.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) 1) (neg.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))
(/.f64 (.f64 (neg.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) 1) (neg.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664))) 1) (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))
(/.f64 (.f64 (+.f64 4096/594823321 (pow.f64 (.f64 (.f64 x x) -707281/11664) 3)) 1) (+.f64 256/707281 (-.f64 (.f64 (.f64 (.f64 x x) -707281/11664) (.f64 (.f64 x x) -707281/11664)) (.f64 16/841 (.f64 (*.f64 x x) -707281/11664)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))) (sqrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))) (sqrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2)) (cbrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2)) (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))
(/.f64 (.f64 (-.f64 65536/500246412961 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 1 (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))) (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (.f64 (-.f64 16777216/353814783205469041 (pow.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 3)) (/.f64 1 (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))) (+.f64 65536/500246412961 (+.f64 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))))
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(/.f64 (.f64 (-.f64 68719476736/210457284365172120330305161 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 3)) (/.f64 1 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x)))))) (+.f64 16777216/353814783205469041 (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (sqrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))) (sqrt.f64 (+.f64 16/841 (.f64 707281/11664 (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))) (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))) (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))
(/.f64 (/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) 1) (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (sqrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x)))))) (sqrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (.f64 (cbrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))) (cbrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))) (cbrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 1)
(pow.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2)
(pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 3)
(pow.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 2))
(log.f64 (exp.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))))
(cbrt.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 3))
(expm1.f64 (log.f64 (+.f64 857/841 (.f64 (.f64 x x) -707281/11664))))
(exp.f64 (log.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(exp.f64 (.f64 (log.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664))) 1))
(log1p.f64 (expm1.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
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(/.f64 (.f64 (sqrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))) (sqrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (.f64 (sqrt.f64 (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 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321)) (sqrt.f64 (+.f64 256/707281 (fma.f64 (.f64 x x) 841/729 (.f64 (pow.f64 x 4) 500246412961/136048896))))) (sqrt.f64 (fma.f64 x (.f64 x -707281/11664) 16/841)))
(/.f64 (.f64 (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))) (sqrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 (sqrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))) (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))))
(.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 (fma.f64 x (.f64 x -707281/11664) 16/841)))
(.f64 (/.f64 (sqrt.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896))) (sqrt.f64 (fma.f64 (.f64 x 707281/11664) x 16/841))) (sqrt.f64 (fma.f64 x (.f64 x -707281/11664) 16/841)))
(/.f64 (.f64 (cbrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2)) (cbrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (cbrt.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)))) (cbrt.f64 (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -707281/11664) 16/841)) 2) (/.f64 (cbrt.f64 (+.f64 256/707281 (fma.f64 (.f64 x x) 841/729 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) (cbrt.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321))))
(/.f64 (.f64 (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2)) (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))
(/.f64 (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -707281/11664) 16/841)) 2) (/.f64 (cbrt.f64 (fma.f64 707281/11664 (.f64 x x) 16/841)) (cbrt.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -707281/11664) 16/841)) 2) (/.f64 (cbrt.f64 (fma.f64 (.f64 x 707281/11664) x 16/841)) (cbrt.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)))))
(/.f64 (.f64 (-.f64 65536/500246412961 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 1 (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))) (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (-.f64 65536/500246412961 (.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) 250246473680347348787521/18509302102818816)) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) (/.f64 1 (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 65536/500246412961 (.f64 (pow.f64 x 8) -250246473680347348787521/18509302102818816)) (fma.f64 707281/11664 (.f64 x x) 16/841)) (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281))
(/.f64 (/.f64 (+.f64 65536/500246412961 (.f64 (pow.f64 x 8) -250246473680347348787521/18509302102818816)) (fma.f64 (.f64 x 707281/11664) x 16/841)) (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281))
(/.f64 (.f64 (-.f64 16777216/353814783205469041 (pow.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 3)) (/.f64 1 (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))) (+.f64 65536/500246412961 (+.f64 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (-.f64 16777216/353814783205469041 (.f64 (pow.f64 (pow.f64 x 4) 3) 125184900814733057351483732809459681/2518170116818978404827136)) (/.f64 (+.f64 65536/500246412961 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281))) (/.f64 1 (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))))
(/.f64 (/.f64 (-.f64 16777216/353814783205469041 (pow.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 3)) (fma.f64 707281/11664 (.f64 x x) 16/841)) (+.f64 65536/500246412961 (fma.f64 (pow.f64 x 8) 250246473680347348787521/18509302102818816 (*.f64 (pow.f64 x 4) 707281/531441))))
(/.f64 (/.f64 (-.f64 16777216/353814783205469041 (pow.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 3)) (fma.f64 (.f64 x 707281/11664) x 16/841)) (+.f64 65536/500246412961 (fma.f64 (pow.f64 x 8) 250246473680347348787521/18509302102818816 (*.f64 (pow.f64 x 4) 707281/531441))))
(/.f64 (.f64 (-.f64 16777216/353814783205469041 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))) (/.f64 1 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x)))))) (+.f64 4096/594823321 (.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944)))
(/.f64 (-.f64 16777216/353814783205469041 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 125184900814733057351483732809459681/2518170116818978404827136)) (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 4096/594823321) (/.f64 1 (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))))
(/.f64 (-.f64 16777216/353814783205469041 (pow.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 3)) (.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (.f64 x x) 841/729 (.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (.f64 (-.f64 68719476736/210457284365172120330305161 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 3)) (/.f64 1 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x)))))) (+.f64 16777216/353814783205469041 (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)))))
(/.f64 (-.f64 68719476736/210457284365172120330305161 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 3)) (/.f64 (+.f64 16777216/353814783205469041 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 4096/594823321))) (/.f64 1 (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (*.f64 x x) 841/729))))))
(/.f64 (+.f64 68719476736/210457284365172120330305161 (.f64 (pow.f64 (pow.f64 x 6) 3) -44292268542362921407825091617016319887724139383235921/3996019499184929743169818581358608384)) (.f64 (fma.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 4096/594823321) 16777216/353814783205469041) (+.f64 256/707281 (fma.f64 (.f64 x x) 841/729 (*.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (-.f64 68719476736/210457284365172120330305161 (pow.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) 3)) (.f64 (fma.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 4096/594823321) 16777216/353814783205469041) (+.f64 256/707281 (fma.f64 (.f64 x x) 841/729 (*.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 707281/11664 (.f64 x x) 16/841))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 (.f64 x 707281/11664) x 16/841))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (sqrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))) (sqrt.f64 (+.f64 16/841 (.f64 707281/11664 (*.f64 x x)))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 707281/11664 (.f64 x x) 16/841))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 (.f64 x 707281/11664) x 16/841))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))) (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))) (cbrt.f64 (+.f64 16/841 (.f64 707281/11664 (.f64 x x)))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 707281/11664 (.f64 x x) 16/841))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 (.f64 x 707281/11664) x 16/841))
(/.f64 (/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) 1) (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (*.f64 x x)))))
(/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (.f64 x x) 841/729 (.f64 (pow.f64 x 4) 500246412961/136048896))))
(/.f64 (/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (sqrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x)))))) (sqrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (.f64 x x) 841/729 (.f64 (pow.f64 x 4) 500246412961/136048896))))
(/.f64 (/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (.f64 (cbrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))) (cbrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))) (cbrt.f64 (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (.f64 x x))))))
(/.f64 (-.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944)) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (.f64 x x) 841/729 (.f64 (pow.f64 x 4) 500246412961/136048896))))
(pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 1)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(pow.f64 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 2)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))) 3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(pow.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 3) 1/3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(sqrt.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 2))
(sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2))
(fabs.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841))
(log.f64 (exp.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(cbrt.f64 (pow.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) 3))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(expm1.f64 (log.f64 (+.f64 857/841 (.f64 (.f64 x x) -707281/11664))))
(expm1.f64 (log.f64 (+.f64 (.f64 x (.f64 x -707281/11664)) 857/841)))
(expm1.f64 (log.f64 (fma.f64 x (*.f64 x -707281/11664) 857/841)))
(exp.f64 (log.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(exp.f64 (.f64 (log.f64 (+.f64 16/841 (.f64 (*.f64 x x) -707281/11664))) 1))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(log1p.f64 (expm1.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.22%	(.f64 x (.f64 x -707281/11664))
✓	0.24%	(*.f64 x -707281/11664)
✓	0.26%	(/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))
✓	20.39%	(.f64 (/.f64 1 (-.f64 -4/29 (.f64 x -841/108))) (-.f64 -16/841 (.f64 x (.f64 x -707281/11664))))

Compiler

Compiled 52 to 40 computations (23.1% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite111.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	76
1	332	76
2	4177	76

Stop Event

1×	node limit

Counts

4 → 218

Calls

Call 1

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

Outputs
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simplify115.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1018×	`associate-/l*`
862×	`associate-r`
752×	`associate-l`
572×	`*-commutative`
520×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	607	12436
1	1740	10086

Stop Event

1×	node limit

Counts

266 → 339

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

eval767.0ms (13.4%)

Compiler: Compiled 29032 to 22905 computations (21.1% saved)

prune422.0ms (7.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1294	1	1295
Fresh	0	1	1
Picked	1	0	1
Done	1	5	6
Total	1296	7	1303

Error

Counts

1303 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.16%	(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))
✓	54.58%	(/.f64 1 (/.f64 108/841 x))
✓	54.31%	(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
✓	0.1%	(+.f64 (*.f64 841/108 x) 4/29)
▶	54.43%	(*.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))) x)
✓	54.42%	(*.f64 841/108 x)
	46.02%	4/29

Compiler

Compiled 50 to 41 computations (18% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.05%	(+.f64 108/841 (/.f64 -46656/20511149 x))
✓	0.26%	(*.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))) x)
✓	0.87%	(/.f64 -46656/20511149 x)
✓	0.95%	(/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x)))

Compiler

Compiled 29 to 23 computations (20.7% saved)

series2.0ms (0%)

Counts

4 → 36

Calls

12 calls:

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

rewrite104.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1424×	`associate-*r/`
886×	`*-commutative`
872×	`associate-*l/`
806×	`associate-/r*`
458×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	58
1	219	58
2	2725	58

Stop Event

1×	node limit

Counts

4 → 287

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (.f64 x x)))) 108/841) (.f64 (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (.f64 x x)))) (/.f64 46656/20511149 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) 11664/707281) (.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (/.f64 5038848/17249876309 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (/.f64 5038848/17249876309 x))) (.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) 11664/707281))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 108/841 (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (.f64 x x))))) (.f64 (/.f64 46656/20511149 x) (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 11664/707281 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (/.f64 5038848/17249876309 x)) (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (/.f64 2176782336/420707233300201 (.f64 x x)) (/.f64 5038848/17249876309 x)) (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (.f64 11664/707281 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)) 108/841)))))

simplify135.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1066×	`associate-/l*`
992×	`times-frac`
812×	`associate-/r*`
588×	`*-commutative`
584×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	710	11791
1	1840	11287

Stop Event

1×	node limit

Counts

323 → 459

Calls

Call 1

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

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

eval202.0ms (3.5%)

Compiler: Compiled 9740 to 7500 computations (23% saved)

prune77.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	457	2	459
Fresh	0	1	1
Picked	1	0	1
Done	3	2	5
Total	461	5	466

Error

Counts

466 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	54.27%	(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
✓	0.1%	(+.f64 (*.f64 841/108 x) 4/29)
	54.69%	(*.f64 (/.f64 1 108/841) x)
✓	54.42%	(*.f64 841/108 x)
	46.02%	4/29

Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes58.0ms (1%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	x
10.0ms	(*.f64 (/.f64 841 108) x)
7.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Results

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

Compiler

Compiled 190 to 150 computations (21.1% saved)

regimes24.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(*.f64 (/.f64 841 108) x)
7.0ms	x
5.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Results

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

Compiler

Compiled 158 to 122 computations (22.8% saved)

regimes35.0ms (0.6%)

Accuracy

Total -59.2b remaining (-2319.9%)

Threshold costs -59.2b (-2319.9%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

34.0ms

Results

Error	Segments	Branch
3.99%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch25.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0004647702716810441	0.06408464581616342
13.0ms	-78.25956967575041	-0.005510098270731467

Results

21.0ms

240×

body

256

valid

Compiler

Compiled 134 to 117 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 1224979098644775/72057594037927936) 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 1224979098644775/72057594037927936) 4/29 (.f64 841/108 x)))
4/29

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness29.0ms (0.5%)

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)

end66.0ms (1.2%)

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

Details

analyze3.0ms (0.1%)

sample829.0ms (14.5%)

preprocess45.0ms (0.8%)

simplify12.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite107.0ms (1.9%)

simplify144.0ms (2.5%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite54.0ms (0.9%)

simplify68.0ms (1.2%)

eval143.0ms (2.5%)

prune35.0ms (0.6%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite117.0ms (2.1%)

simplify63.0ms (1.1%)

localize3.0ms (0%)

localize25.0ms (0.4%)

series3.0ms (0%)

rewrite107.0ms (1.9%)

simplify207.0ms (3.6%)

localize10.0ms (0.2%)

series34.0ms (0.6%)

rewrite65.0ms (1.1%)

simplify73.0ms (1.3%)

localize14.0ms (0.3%)

series3.0ms (0.1%)

rewrite59.0ms (1%)

simplify62.0ms (1.1%)

eval320.0ms (5.6%)

prune97.0ms (1.7%)

localize13.0ms (0.2%)

series1.0ms (0%)

rewrite67.0ms (1.2%)

simplify76.0ms (1.3%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite61.0ms (1.1%)

simplify50.0ms (0.9%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite134.0ms (2.3%)

simplify156.0ms (2.7%)

localize16.0ms (0.3%)

series1.0ms (0%)

rewrite93.0ms (1.6%)

simplify90.0ms (1.6%)

localize24.0ms (0.4%)

series2.0ms (0%)

rewrite111.0ms (1.9%)

simplify115.0ms (2%)

eval767.0ms (13.4%)

prune422.0ms (7.4%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite104.0ms (1.8%)

simplify135.0ms (2.4%)

eval202.0ms (3.5%)

prune77.0ms (1.3%)

regimes58.0ms (1%)

regimes24.0ms (0.4%)

regimes35.0ms (0.6%)

bsearch25.0ms (0.4%)

simplify5.0ms (0.1%)

soundness29.0ms (0.5%)

end66.0ms (1.2%)

Profiling