Details

analyze28.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (18.9%)

Results

1.2s	8254×	body	256	valid
0.0ms	2×	body	1024	valid
0.0ms	5×	body	256	infinite

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize41.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 23 computations (11.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite95.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

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

simplify115.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

152 → 194

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 6 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

33 → 31

Calls

Call 1

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

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

eval130.0ms (2.1%)

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

prune82.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	217	8	225
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	219	8	227

Error

0.0b

Counts

227 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	24.4b	(/.f64 (+.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) (.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)))
▶	14.4b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
▶	14.9b	(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
▶	14.1b	(-.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)))
	36.1b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
▶	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	33.3b	(*.f64 841/108 x)
	29.8b	4/29

Compiler

Compiled 198 to 164 computations (17.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite60.0ms (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)))))

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 57

Calls

Call 1

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

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

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))
	0.1b	(*.f64 841/108 x)
✓	0.2b	(.f64 -707281/11664 (.f64 x x))
✓	13.4b	(/.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)

series29.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

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

rewrite86.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`associate-*r/`
1422×	`associate-*l/`
954×	`associate-/r*`
798×	`associate-/l*`
294×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	295	61
2	3813	61

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x)))) 825/841)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 256/707281 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (/.f64 (pow.f64 x 4) (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) 500246412961/136048896)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 16/841 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -707281/11664 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simplify144.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1502×	`associate-/r*`
1366×	`unswap-sqr`
1282×	`associate-/r/`
448×	`distribute-lft-neg-in`
400×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	316	5774
1	774	4710
2	3537	4710

Stop Event

1×	node limit

Counts

154 → 186

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 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))))) 1)
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -1 (-.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 1 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))
(.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))))
(.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 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 -1 (-.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 (neg.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))))
(.f64 (/.f64 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 (fma.f64 -707281/11664 (.f64 x x) 16/841) (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (-.f64 4/29 (*.f64 x -841/108)))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))))
(.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)) (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)))))
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(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)
(pow.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841)) -1)
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(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))
(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 (/.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)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -707281/11664 (.f64 x x)))) 1)
(pow.f64 (.f64 -707281/11664 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)
(pow.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) 3)
(pow.f64 (.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 (*.f64 x x)) -707281/11664))
(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 (exp.f64 (log1p.f64 (.f64 -707281/11664 (.f64 x x)))) 825/841)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 1)
(-.f64 (/.f64 256/707281 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (/.f64 (pow.f64 x 4) (/.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) 500246412961/136048896)))
(-.f64 (+.f64 16/841 (exp.f64 (log1p.f64 (.f64 -707281/11664 (.f64 x x))))) 1)
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) 1)
(.f64 1 (fma.f64 -707281/11664 (.f64 x x) 16/841))
(.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))
(.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 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1)
(/.f64 1 (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 1 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))))
(/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664)))
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(/.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 (.f64 x x) 707281/11664)) (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (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 (.f64 x x) 707281/11664)) (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 (*.f64 x x) 707281/11664))))
(/.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 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) (-.f64 (.f64 -707281/11664 (*.f64 x x)) 16/841))
(/.f64 (.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)))
(/.f64 (.f64 (+.f64 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 1 (neg.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))) (neg.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))
(/.f64 (.f64 1 (neg.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))) (neg.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x))))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281)) (-.f64 (.f64 -707281/11664 (.f64 x x)) 16/841))
(/.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 (-.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 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (cbrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))) (cbrt.f64 (+.f64 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 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))) (cbrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (.f64 (neg.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) 1) (neg.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))
(/.f64 (.f64 (neg.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) 1) (neg.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) 1) (-.f64 (.f64 -707281/11664 (.f64 x x)) 16/841))
(/.f64 (.f64 (sqrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))) (sqrt.f64 (+.f64 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 (fma.f64 -707281/11664 (.f64 x x) 16/841))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (.f64 (cbrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2)) (cbrt.f64 (+.f64 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 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2)) (cbrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (.f64 (-.f64 65536/500246412961 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 1 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (.f64 (-.f64 16777216/353814783205469041 (pow.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 3)) (/.f64 1 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (+.f64 65536/500246412961 (+.f64 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (.f64 (-.f64 16777216/353814783205469041 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (/.f64 1 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x)))))) (-.f64 4096/594823321 (.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))
(/.f64 (.f64 (+.f64 68719476736/210457284365172120330305161 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) 3)) (/.f64 1 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x)))))) (+.f64 16777216/353814783205469041 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664)))
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(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))
(/.f64 (/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) 1) (+.f64 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 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1)
(pow.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 3)
(pow.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2))
(log.f64 (exp.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(cbrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3))
(expm1.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(exp.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(exp.f64 (.f64 (log.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 1 (.f64 -707281/11664 (.f64 x x)) 16/841)
(fma.f64 (.f64 x (sqrt.f64 -707281/11664)) (.f64 x (sqrt.f64 -707281/11664)) 16/841)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (.f64 -707281/11664 (*.f64 x x))) 16/841)
(fma.f64 (*.f64 -707281/11664 x) x 16/841)

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

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 58 to 39 computations (32.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite93.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

Outputs

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simplify166.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

181 → 270

Calls

Call 1

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

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))
✓	0.1b	(*.f64 x -841/108)
✓	0.3b	(/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108)))
✓	13.3b	(.f64 (/.f64 707281/11664 (+.f64 4/29 (.f64 x -841/108))) (*.f64 x x))

Compiler

Compiled 61 to 45 computations (26.2% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite117.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

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

simplify113.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

244 → 319

Calls

Call 1

Inputs
(*.f64 20511149/46656 (pow.f64 x 2))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (.f64 500246412961/20155392 (pow.f64 x 3)))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(*.f64 -841/108 x)
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 -841/108 x)
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 20511149/46656 (pow.f64 x 2))))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(*.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)
20511149/46656
(+.f64 20511149/46656 (*.f64 500246412961/20155392 x))
(+.f64 (.f64 12200509765705829/8707129344 (pow.f64 x 2)) (+.f64 20511149/46656 (.f64 500246412961/20155392 x)))
(+.f64 (.f64 12200509765705829/8707129344 (pow.f64 x 2)) (+.f64 20511149/46656 (+.f64 (.f64 297558232675799463481/3761479876608 (pow.f64 x 3)) (*.f64 500246412961/20155392 x))))
(/.f64 -841/108 x)
(neg.f64 (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (.f64 841/108 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 841/108 (/.f64 1 x)) (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -841/108 x)
(neg.f64 (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (.f64 841/108 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 841/108 (/.f64 1 x)) (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 4)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))))) 1)
(/.f64 707281/11664 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x x)))
(/.f64 x (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) x))
(/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (.f64 -841/108 (.f64 x -841/108))))
(/.f64 -841/108 (/.f64 (fma.f64 x -841/108 4/29) (.f64 x (.f64 x -841/108))))
(/.f64 (.f64 x -841/108) (/.f64 (fma.f64 x -841/108 4/29) (.f64 x -841/108)))
(/.f64 (.f64 x x) (.f64 (fma.f64 x -841/108 4/29) 11664/707281))
(/.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))) 1)
(/.f64 1 (/.f64 (fma.f64 x -841/108 4/29) (.f64 707281/11664 (.f64 x x))))
(/.f64 (sqrt.f64 x) (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) (.f64 (sqrt.f64 x) x)))
(/.f64 (sqrt.f64 (.f64 x -841/108)) (/.f64 (fma.f64 x -841/108 4/29) (.f64 (sqrt.f64 (.f64 x -841/108)) (.f64 x -841/108))))
(/.f64 (cbrt.f64 (.f64 x x)) (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (cbrt.f64 (.f64 x x)) (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) (*.f64 (cbrt.f64 x) x)))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 (.f64 x x))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2) (/.f64 (fma.f64 x -841/108 4/29) (.f64 (cbrt.f64 (.f64 x -841/108)) (.f64 x -841/108))))
(/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 x -841/108 4/29))
(/.f64 (.f64 707281/11664 (.f64 x x)) (neg.f64 (-.f64 -4/29 (*.f64 x -841/108))))
(/.f64 -707281/11664 (/.f64 (-.f64 -4/29 (.f64 x -841/108)) (.f64 x x)))
(/.f64 (.f64 x (sqrt.f64 x)) (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) (sqrt.f64 x)))
(/.f64 (.f64 (.f64 x -841/108) (sqrt.f64 (.f64 x -841/108))) (/.f64 (fma.f64 x -841/108 4/29) (sqrt.f64 (.f64 x -841/108))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 (fma.f64 x -841/108 4/29) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)))
(/.f64 (.f64 x (cbrt.f64 (.f64 x x))) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 x)))
(/.f64 (.f64 (.f64 707281/11664 (*.f64 x x)) 1) (fma.f64 x -841/108 4/29))
(/.f64 (/.f64 (.f64 x x) (sqrt.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281))) (sqrt.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)))
(/.f64 (.f64 (.f64 x -841/108) x) (/.f64 (fma.f64 x -841/108 4/29) -841/108))
(/.f64 (.f64 (.f64 x -841/108) -841/108) (/.f64 (fma.f64 x -841/108 4/29) x))
(/.f64 (.f64 (.f64 x -841/108) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 (fma.f64 x -841/108 4/29) (cbrt.f64 (.f64 x -841/108))))
(/.f64 (*.f64 707281/11664 x) (/.f64 (fma.f64 x -841/108 4/29) x))
(/.f64 (.f64 707281/11664 (cbrt.f64 (pow.f64 x 4))) (/.f64 (fma.f64 x -841/108 4/29) (cbrt.f64 (.f64 x x))))
(/.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 11664/707281)
(/.f64 (.f64 (.f64 x x) -707281/11664) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (.f64 -707281/11664 (.f64 x x)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (/.f64 (*.f64 x x) 11664/707281) (fma.f64 x -841/108 4/29))
(/.f64 (/.f64 707281/11664 (/.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (*.f64 x x))) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (/.f64 707281/11664 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (*.f64 x x))) (cbrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (/.f64 707281/11664 (/.f64 (-.f64 16/841 (.f64 707281/11664 (.f64 x x))) (.f64 x x))) (/.f64 1 (+.f64 4/29 (.f64 841/108 x))))
(/.f64 (/.f64 707281/11664 (/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) -594823321/1259712)) (.f64 x x))) (/.f64 1 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 -29/27 x)))))
(/.f64 (neg.f64 (.f64 707281/11664 (.f64 x x))) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (.f64 x (.f64 707281/11664 x)) (fma.f64 x -841/108 4/29))
(/.f64 (.f64 x (.f64 -707281/11664 x)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29)))) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))) (cbrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (.f64 (.f64 x x) -1) (neg.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)))
(/.f64 (.f64 1 (.f64 (.f64 x x) -707281/11664)) (-.f64 -4/29 (.f64 x -841/108)))
(/.f64 (.f64 1 (.f64 -707281/11664 (.f64 x x))) (-.f64 -4/29 (.f64 x -841/108)))
(/.f64 (.f64 1 (/.f64 (.f64 x x) 11664/707281)) (fma.f64 x -841/108 4/29))
(/.f64 (.f64 1 (/.f64 707281/11664 (/.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (.f64 x x)))) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (.f64 1 (/.f64 707281/11664 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (.f64 x x)))) (cbrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (.f64 1 (neg.f64 (.f64 707281/11664 (.f64 x x)))) (-.f64 -4/29 (.f64 x -841/108)))
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(.f64 (/.f64 707281/11664 (-.f64 16/841 (.f64 707281/11664 (.f64 x x)))) (+.f64 4/29 (.f64 841/108 x)))
(.f64 (/.f64 707281/11664 (+.f64 64/24389 (.f64 (pow.f64 x 3) -594823321/1259712))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 -29/27 x))))
(pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 1)
(pow.f64 (/.f64 841/108 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2)
(pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 3)
(pow.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) -1)
(sqrt.f64 (/.f64 500246412961/136048896 (pow.f64 (fma.f64 x -841/108 4/29) 2)))
(log.f64 (exp.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(cbrt.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3))
(expm1.f64 (log1p.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(exp.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(exp.f64 (*.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 1))
(log1p.f64 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))

Outputs
(*.f64 20511149/46656 (pow.f64 x 2))
(.f64 20511149/46656 (.f64 x x))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (.f64 500246412961/20155392 (pow.f64 x 3)))
(fma.f64 20511149/46656 (.f64 x x) (.f64 500246412961/20155392 (pow.f64 x 3)))
(fma.f64 500246412961/20155392 (pow.f64 x 3) (.f64 20511149/46656 (.f64 x x)))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))
(fma.f64 20511149/46656 (.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (.f64 12200509765705829/8707129344 (pow.f64 x 4))))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(fma.f64 20511149/46656 (.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 297558232675799463481/3761479876608 (pow.f64 x 5) (.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(fma.f64 20511149/46656 (.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 12200509765705829/8707129344 (pow.f64 x 4) (.f64 297558232675799463481/3761479876608 (pow.f64 x 5)))))
(*.f64 -841/108 x)
(*.f64 x -841/108)
(-.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x -4/29)
(fma.f64 x -841/108 -4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(-.f64 (fma.f64 -841/108 x -4/29) (/.f64 1728/707281 x))
(+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x))
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(-.f64 (fma.f64 -841/108 x -4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (fma.f64 x -841/108 -4/29) (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)))
(+.f64 (+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x)) (/.f64 -746496/17249876309 (*.f64 x x)))
(*.f64 -841/108 x)
(*.f64 x -841/108)
(-.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x -4/29)
(fma.f64 x -841/108 -4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(-.f64 (fma.f64 -841/108 x -4/29) (/.f64 1728/707281 x))
(+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x))
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(-.f64 (fma.f64 -841/108 x -4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (fma.f64 x -841/108 -4/29) (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)))
(+.f64 (+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x)) (/.f64 -746496/17249876309 (*.f64 x x)))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 20511149/46656 (pow.f64 x 2))))
(+.f64 4/29 (fma.f64 841/108 x (.f64 20511149/46656 (.f64 x x))))
(+.f64 (.f64 20511149/46656 (.f64 x x)) (fma.f64 x 841/108 4/29))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 4/29 (fma.f64 841/108 x (fma.f64 20511149/46656 (.f64 x x) (.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 (fma.f64 500246412961/20155392 (pow.f64 x 3) (.f64 20511149/46656 (.f64 x x))) (fma.f64 x 841/108 4/29))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
20511149/46656
(+.f64 20511149/46656 (*.f64 500246412961/20155392 x))
(+.f64 20511149/46656 (*.f64 x 500246412961/20155392))
(fma.f64 x 500246412961/20155392 20511149/46656)
(+.f64 (.f64 12200509765705829/8707129344 (pow.f64 x 2)) (+.f64 20511149/46656 (.f64 500246412961/20155392 x)))
(fma.f64 12200509765705829/8707129344 (.f64 x x) (+.f64 20511149/46656 (.f64 x 500246412961/20155392)))
(fma.f64 12200509765705829/8707129344 (*.f64 x x) (fma.f64 x 500246412961/20155392 20511149/46656))
(+.f64 (.f64 12200509765705829/8707129344 (pow.f64 x 2)) (+.f64 20511149/46656 (+.f64 (.f64 297558232675799463481/3761479876608 (pow.f64 x 3)) (*.f64 500246412961/20155392 x))))
(fma.f64 12200509765705829/8707129344 (.f64 x x) (+.f64 20511149/46656 (fma.f64 297558232675799463481/3761479876608 (pow.f64 x 3) (.f64 x 500246412961/20155392))))
(+.f64 (fma.f64 12200509765705829/8707129344 (.f64 x x) (fma.f64 x 500246412961/20155392 20511149/46656)) (.f64 (pow.f64 x 3) 297558232675799463481/3761479876608))
(/.f64 -841/108 x)
(neg.f64 (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (.f64 841/108 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4/29 (*.f64 x x)) (/.f64 841/108 x)))
(+.f64 (/.f64 -4/29 (*.f64 x x)) (/.f64 -841/108 x))
(neg.f64 (+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4/29 (*.f64 x x)) (/.f64 841/108 x)) (/.f64 1728/707281 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -4/29 (*.f64 x x)) (/.f64 -841/108 x)) (/.f64 -1728/707281 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 841/108 (/.f64 1 x)) (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 4/29 (*.f64 x x)) (+.f64 (/.f64 1728/707281 (pow.f64 x 3)) (+.f64 (/.f64 841/108 x) (/.f64 746496/17249876309 (pow.f64 x 4))))))
(-.f64 (/.f64 -4/29 (*.f64 x x)) (+.f64 (/.f64 841/108 x) (+.f64 (/.f64 746496/17249876309 (pow.f64 x 4)) (/.f64 1728/707281 (pow.f64 x 3)))))
(-.f64 (/.f64 -4/29 (*.f64 x x)) (+.f64 (/.f64 841/108 x) (+.f64 (/.f64 1728/707281 (pow.f64 x 3)) (/.f64 746496/17249876309 (pow.f64 x 4)))))
(/.f64 -841/108 x)
(neg.f64 (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (.f64 841/108 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4/29 (*.f64 x x)) (/.f64 841/108 x)))
(+.f64 (/.f64 -4/29 (*.f64 x x)) (/.f64 -841/108 x))
(neg.f64 (+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4/29 (*.f64 x x)) (/.f64 841/108 x)) (/.f64 1728/707281 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -4/29 (*.f64 x x)) (/.f64 -841/108 x)) (/.f64 -1728/707281 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 841/108 (/.f64 1 x)) (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 4/29 (*.f64 x x)) (+.f64 (/.f64 1728/707281 (pow.f64 x 3)) (+.f64 (/.f64 841/108 x) (/.f64 746496/17249876309 (pow.f64 x 4))))))
(-.f64 (/.f64 -4/29 (*.f64 x x)) (+.f64 (/.f64 841/108 x) (+.f64 (/.f64 746496/17249876309 (pow.f64 x 4)) (/.f64 1728/707281 (pow.f64 x 3)))))
(-.f64 (/.f64 -4/29 (*.f64 x x)) (+.f64 (/.f64 841/108 x) (+.f64 (/.f64 1728/707281 (pow.f64 x 3)) (/.f64 746496/17249876309 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))))) 1)
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(/.f64 707281/11664 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x x)))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(/.f64 x (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) x))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (.f64 -841/108 (.f64 x -841/108))))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(/.f64 -841/108 (/.f64 (fma.f64 x -841/108 4/29) (.f64 x (.f64 x -841/108))))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(/.f64 (.f64 x -841/108) (/.f64 (fma.f64 x -841/108 4/29) (.f64 x -841/108)))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(/.f64 (.f64 x x) (.f64 (fma.f64 x -841/108 4/29) 11664/707281))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(/.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))) 1)
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(/.f64 1 (/.f64 (fma.f64 x -841/108 4/29) (.f64 707281/11664 (.f64 x x))))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(/.f64 (sqrt.f64 x) (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) (.f64 (sqrt.f64 x) x)))
(.f64 (/.f64 (sqrt.f64 x) (.f64 (fma.f64 x -841/108 4/29) 11664/707281)) (*.f64 x (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (/.f64 (sqrt.f64 x) 11664/707281) (/.f64 x (fma.f64 x -841/108 4/29))))
(/.f64 (sqrt.f64 (.f64 x -841/108)) (/.f64 (fma.f64 x -841/108 4/29) (.f64 (sqrt.f64 (.f64 x -841/108)) (.f64 x -841/108))))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(/.f64 (cbrt.f64 (.f64 x x)) (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 (pow.f64 x 4))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)) (cbrt.f64 (pow.f64 x 4)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (.f64 x x)) (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)))
(/.f64 (cbrt.f64 (.f64 x x)) (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) (*.f64 (cbrt.f64 x) x)))
(/.f64 (cbrt.f64 (.f64 x x)) (.f64 (/.f64 (fma.f64 x -841/108 4/29) (cbrt.f64 x)) (/.f64 11664/707281 x)))
(.f64 (cbrt.f64 x) (/.f64 x (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 (*.f64 x x)))))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (fma.f64 x -841/108 4/29) 11664/707281)) (cbrt.f64 (*.f64 x x)))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2) (/.f64 (fma.f64 x -841/108 4/29) (.f64 (cbrt.f64 (.f64 x -841/108)) (.f64 x -841/108))))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 x -841/108 4/29))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(/.f64 (.f64 707281/11664 (.f64 x x)) (neg.f64 (-.f64 -4/29 (*.f64 x -841/108))))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(/.f64 -707281/11664 (/.f64 (-.f64 -4/29 (.f64 x -841/108)) (.f64 x x)))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(/.f64 (.f64 x (sqrt.f64 x)) (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) (sqrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 x) (.f64 (fma.f64 x -841/108 4/29) 11664/707281)) (*.f64 x (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (/.f64 (sqrt.f64 x) 11664/707281) (/.f64 x (fma.f64 x -841/108 4/29))))
(/.f64 (.f64 (.f64 x -841/108) (sqrt.f64 (.f64 x -841/108))) (/.f64 (fma.f64 x -841/108 4/29) (sqrt.f64 (.f64 x -841/108))))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 (fma.f64 x -841/108 4/29) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
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(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(cbrt.f64 (pow.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))) 3))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(cbrt.f64 (.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3) (pow.f64 (.f64 x x) 3)))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3)))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(expm1.f64 (log1p.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(exp.f64 (log.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(exp.f64 (.f64 (log.f64 (.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))) 1))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(log1p.f64 (expm1.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(-.f64 (exp.f64 (log1p.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) 1)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(*.f64 16/841 (/.f64 1 (fma.f64 x -841/108 4/29)))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(*.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 1)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(*.f64 1 (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(*.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))))
(pow.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2)
(*.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (cbrt.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(*.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (cbrt.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 2)))
(*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) 16/841)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(*.f64 -16/841 (/.f64 -1 (fma.f64 x -841/108 4/29)))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(.f64 (/.f64 16/841 (-.f64 16/841 (.f64 707281/11664 (.f64 x x)))) (+.f64 4/29 (.f64 841/108 x)))
(.f64 (+.f64 4/29 (.f64 x 841/108)) (/.f64 16/841 (+.f64 16/841 (.f64 x (.f64 x -707281/11664)))))
(.f64 (fma.f64 x 841/108 4/29) (/.f64 16/841 (-.f64 16/841 (.f64 x (*.f64 x 707281/11664)))))
(.f64 (/.f64 16/841 (+.f64 64/24389 (.f64 (pow.f64 x 3) -594823321/1259712))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 -29/27 x))))
(/.f64 (.f64 16/841 (fma.f64 707281/11664 (.f64 x x) (+.f64 16/841 (.f64 29/27 x)))) (+.f64 64/24389 (.f64 (pow.f64 x 3) -594823321/1259712)))
(.f64 (+.f64 16/841 (.f64 x (-.f64 (*.f64 x 707281/11664) -29/27))) (/.f64 16/841 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))
(pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 1)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(pow.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2)
(pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 3)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(pow.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 3) 1/3)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 841/16) -1)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(sqrt.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 2))
(fabs.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(log.f64 (exp.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(cbrt.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 3))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(expm1.f64 (log1p.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(exp.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(exp.f64 (*.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 1))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(log1p.f64 (expm1.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 1)
(*.f64 x -841/108)
(pow.f64 (*.f64 x -841/108) 1)
(*.f64 x -841/108)
(pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2)
(*.f64 x -841/108)
(pow.f64 (cbrt.f64 (*.f64 x -841/108)) 3)
(*.f64 x -841/108)
(pow.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -594823321/1259712))
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(sqrt.f64 (.f64 x (.f64 x 707281/11664)))
(log.f64 (pow.f64 (exp.f64 -841/108) x))
(*.f64 x -841/108)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -841/108))))
(*.f64 x -841/108)
(cbrt.f64 (*.f64 (pow.f64 x 3) -594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 x -841/108)))
(*.f64 x -841/108)
(exp.f64 (log.f64 (*.f64 x -841/108)))
(*.f64 x -841/108)
(exp.f64 (.f64 (log.f64 (.f64 x -841/108)) 1))
(*.f64 x -841/108)
(log1p.f64 (expm1.f64 (*.f64 x -841/108)))
(*.f64 x -841/108)
(-.f64 (exp.f64 (log1p.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1)
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(*.f64 707281/11664 (/.f64 1 (fma.f64 x -841/108 4/29)))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 1)
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(*.f64 1 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(*.f64 (/.f64 841/108 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 841/108 (sqrt.f64 (fma.f64 x -841/108 4/29))))
(pow.f64 (/.f64 841/108 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2)
(*.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) (pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 2))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 2) (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) 707281/11664)
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(*.f64 -707281/11664 (/.f64 -1 (fma.f64 x -841/108 4/29)))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(.f64 (/.f64 707281/11664 (-.f64 16/841 (.f64 707281/11664 (.f64 x x)))) (+.f64 4/29 (.f64 841/108 x)))
(.f64 (+.f64 4/29 (.f64 x 841/108)) (/.f64 707281/11664 (+.f64 16/841 (.f64 x (.f64 x -707281/11664)))))
(.f64 (fma.f64 x 841/108 4/29) (/.f64 707281/11664 (-.f64 16/841 (.f64 x (*.f64 x 707281/11664)))))
(.f64 (/.f64 707281/11664 (+.f64 64/24389 (.f64 (pow.f64 x 3) -594823321/1259712))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 -29/27 x))))
(.f64 (fma.f64 707281/11664 (.f64 x x) (+.f64 16/841 (.f64 29/27 x))) (/.f64 707281/11664 (+.f64 64/24389 (.f64 (pow.f64 x 3) -594823321/1259712))))
(/.f64 (.f64 707281/11664 (+.f64 16/841 (.f64 x (-.f64 (*.f64 x 707281/11664) -29/27)))) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389))
(pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 1)
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(pow.f64 (/.f64 841/108 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2)
(pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 3)
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(pow.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3) 1/3)
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) -1)
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(sqrt.f64 (/.f64 500246412961/136048896 (pow.f64 (fma.f64 x -841/108 4/29) 2)))
(log.f64 (exp.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(cbrt.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(expm1.f64 (log1p.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(exp.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(exp.f64 (*.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 1))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(log1p.f64 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))

eval460.0ms (7.3%)

Compiler: Compiled 21863 to 16429 computations (24.9% saved)

prune180.0ms (2.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	899	6	905
Fresh	2	1	3
Picked	1	0	1
Done	1	3	4
Total	903	10	913

Error

Counts

913 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.4b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
▶	33.4b	(/.f64 1 (/.f64 108/841 x))
▶	33.3b	(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
▶	30.3b	(/.f64 1 (+.f64 29/4 (*.f64 -707281/1728 x)))
	0.4b	(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (/.f64 (.f64 707281/11664 x) (/.f64 (fma.f64 x -841/108 4/29) x)))
▶	0.4b	(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (/.f64 x (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) x)))
▶	46.7b	(-.f64 (/.f64 -1728/707281 x) (.f64 (/.f64 707281/11664 (+.f64 4/29 (.f64 x -841/108))) (*.f64 x x)))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	33.3b	(*.f64 841/108 x)
	29.8b	4/29

Compiler

Compiled 186 to 147 computations (21% saved)

localize29.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 52 computations (22.4% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite94.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`associate-*l/`
1064×	`*-commutative`
698×	`swap-sqr`
694×	`associate-/r/`
658×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	237	63
2	3006	63

Stop Event

1×	node limit

Counts

3 → 205

Calls

Call 1

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

Outputs

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simplify105.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

890×	`distribute-lft-neg-in`
870×	`associate-r`
804×	`distribute-rgt-neg-in`
784×	`associate-l`
688×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	496	7435
1	1456	5449
2	6164	5441

Stop Event

1×	node limit

Counts

241 → 282

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite56.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

58 → 51

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 29/4 (*.f64 -707281/1728 x))
✓	0.3b	(*.f64 -707281/1728 x)
✓	0.3b	(/.f64 1 (+.f64 29/4 (*.f64 -707281/1728 x)))

Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0%)

Counts

3 → 15

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 -707281/1728 x)
0.0ms	x	@	-inf	(*.f64 -707281/1728 x)
0.0ms	x	@	0	(*.f64 -707281/1728 x)
0.0ms	x	@	inf	(/.f64 1 (+.f64 29/4 (*.f64 -707281/1728 x)))
0.0ms	x	@	0	(/.f64 1 (+.f64 29/4 (*.f64 -707281/1728 x)))

rewrite65.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1844×	`add-sqr-sqrt`
1802×	`*-un-lft-identity`
1706×	`add-cube-cbrt`
1694×	`add-cbrt-cube`
176×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	191	31
2	2262	31

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs
(/.f64 1 (+.f64 29/4 (*.f64 -707281/1728 x)))
(*.f64 -707281/1728 x)
(+.f64 29/4 (*.f64 -707281/1728 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 -707281/1728 x 29/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -1/2) (pow.f64 (fma.f64 -707281/1728 x 29/4) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))) (cbrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -2)) (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -707281/1728 x 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 841/16 (*.f64 500246412961/2985984 (*.f64 x x)))) (+.f64 29/4 (*.f64 707281/1728 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 24389/64 (*.f64 -353814783205469041/5159780352 (pow.f64 x 3)))) (+.f64 841/16 (-.f64 (*.f64 500246412961/2985984 (*.f64 x x)) (*.f64 -20511149/6912 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) -1) (pow.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -707281/1728 x 29/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 -707281/1728 x 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -707281/1728 x 29/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -707281/1728 x 29/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -707281/1728 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -707281/1728 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -707281/1728 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -707281/1728 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -353814783205469041/5159780352 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 500246412961/2985984 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -707281/1728) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -707281/1728 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -353814783205469041/5159780352 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -707281/1728 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -707281/1728 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -707281/1728 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -707281/1728 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -707281/1728 x 29/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 841/16 (+.f64 29/4 (*.f64 707281/1728 x))) (/.f64 (*.f64 500246412961/2985984 (*.f64 x x)) (+.f64 29/4 (*.f64 707281/1728 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -707281/1728 x 29/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -707281/1728 x 29/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) (sqrt.f64 (fma.f64 -707281/1728 x 29/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2) (cbrt.f64 (fma.f64 -707281/1728 x 29/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 841/16 (*.f64 500246412961/2985984 (*.f64 x x))) (/.f64 1 (+.f64 29/4 (*.f64 707281/1728 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 24389/64 (*.f64 -353814783205469041/5159780352 (pow.f64 x 3))) (/.f64 1 (+.f64 841/16 (-.f64 (*.f64 500246412961/2985984 (*.f64 x x)) (*.f64 -20511149/6912 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 -707281/1728 x 29/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 29/4 (*.f64 707281/1728 x)) (-.f64 841/16 (*.f64 500246412961/2985984 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 841/16 (-.f64 (*.f64 500246412961/2985984 (*.f64 x x)) (*.f64 -20511149/6912 x))) (+.f64 24389/64 (*.f64 -353814783205469041/5159780352 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -707281/1728 x 29/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) (pow.f64 (fma.f64 -707281/1728 x 29/4) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2) (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 841/16 (*.f64 500246412961/2985984 (*.f64 x x))) (+.f64 29/4 (*.f64 707281/1728 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 24389/64 (*.f64 -353814783205469041/5159780352 (pow.f64 x 3))) (+.f64 841/16 (-.f64 (*.f64 500246412961/2985984 (*.f64 x x)) (*.f64 -20511149/6912 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 24389/64 (*.f64 -353814783205469041/5159780352 (pow.f64 x 3))) (+.f64 (*.f64 500246412961/2985984 (*.f64 x x)) (-.f64 841/16 (*.f64 -20511149/6912 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -707281/1728 x 29/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 841/16 (*.f64 500246412961/2985984 (*.f64 x x)))) (neg.f64 (+.f64 29/4 (*.f64 707281/1728 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 24389/64 (*.f64 -353814783205469041/5159780352 (pow.f64 x 3)))) (neg.f64 (+.f64 841/16 (-.f64 (*.f64 500246412961/2985984 (*.f64 x x)) (*.f64 -20511149/6912 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 500246412961/2985984 (*.f64 x x)) 841/16) (-.f64 (*.f64 -707281/1728 x) 29/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -707281/1728 x 29/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -707281/1728 x 29/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -707281/1728 x 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -707281/1728 x 29/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -707281/1728 x 29/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -707281/1728 x 29/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -707281/1728 x 29/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -707281/1728 x) 29/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -707281/1728 x 29/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -707281/1728 29/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -707281/1728 x)) (sqrt.f64 (*.f64 -707281/1728 x)) 29/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -707281/1728 x)) 2) (cbrt.f64 (*.f64 -707281/1728 x)) 29/4)))))

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

850×	`unswap-sqr`
840×	`associate-+r-`
806×	`associate-/r*`
682×	`+-commutative`
678×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	1856
1	485	1698
2	1783	1616
3	7621	1616

Stop Event

1×	node limit

Counts

92 → 124

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 20511149/46656 (pow.f64 x 2))))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
29/4
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -707281/1728 x 29/4)))
(*.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)) 1)
(*.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -1/2) (pow.f64 (fma.f64 -707281/1728 x 29/4) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))) (cbrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -2)) (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -707281/1728 x 29/4))))
(.f64 (/.f64 1 (-.f64 841/16 (.f64 500246412961/2985984 (.f64 x x)))) (+.f64 29/4 (.f64 707281/1728 x)))
(.f64 (/.f64 1 (+.f64 24389/64 (.f64 -353814783205469041/5159780352 (pow.f64 x 3)))) (+.f64 841/16 (-.f64 (.f64 500246412961/2985984 (.f64 x x)) (*.f64 -20511149/6912 x))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) -1) (pow.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) -1))
(pow.f64 (fma.f64 -707281/1728 x 29/4) -1)
(pow.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)) 1)
(pow.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -707281/1728 x 29/4))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -707281/1728 x 29/4)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -707281/1728 x 29/4))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -707281/1728 x))) 1)
(pow.f64 (*.f64 -707281/1728 x) 1)
(pow.f64 (sqrt.f64 (*.f64 -707281/1728 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 -707281/1728 x)) 3)
(pow.f64 (*.f64 -353814783205469041/5159780352 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 500246412961/2985984 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -707281/1728) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -707281/1728 x))))
(cbrt.f64 (*.f64 -353814783205469041/5159780352 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 -707281/1728 x)))
(exp.f64 (log.f64 (*.f64 -707281/1728 x)))
(exp.f64 (.f64 (log.f64 (.f64 -707281/1728 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 -707281/1728 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -707281/1728 x 29/4))) 1)
(-.f64 (/.f64 841/16 (+.f64 29/4 (.f64 707281/1728 x))) (/.f64 (.f64 500246412961/2985984 (.f64 x x)) (+.f64 29/4 (.f64 707281/1728 x))))
(*.f64 1 (fma.f64 -707281/1728 x 29/4))
(*.f64 (fma.f64 -707281/1728 x 29/4) 1)
(*.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) (sqrt.f64 (fma.f64 -707281/1728 x 29/4)))
(*.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2) (cbrt.f64 (fma.f64 -707281/1728 x 29/4)))
(.f64 (-.f64 841/16 (.f64 500246412961/2985984 (.f64 x x))) (/.f64 1 (+.f64 29/4 (.f64 707281/1728 x))))
(.f64 (+.f64 24389/64 (.f64 -353814783205469041/5159780352 (pow.f64 x 3))) (/.f64 1 (+.f64 841/16 (-.f64 (.f64 500246412961/2985984 (.f64 x x)) (*.f64 -20511149/6912 x)))))
(/.f64 1 (/.f64 1 (fma.f64 -707281/1728 x 29/4)))
(/.f64 1 (/.f64 (+.f64 29/4 (.f64 707281/1728 x)) (-.f64 841/16 (.f64 500246412961/2985984 (*.f64 x x)))))
(/.f64 1 (/.f64 (+.f64 841/16 (-.f64 (.f64 500246412961/2985984 (.f64 x x)) (.f64 -20511149/6912 x))) (+.f64 24389/64 (.f64 -353814783205469041/5159780352 (pow.f64 x 3)))))
(/.f64 (fma.f64 -707281/1728 x 29/4) 1)
(/.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) (pow.f64 (fma.f64 -707281/1728 x 29/4) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2) (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))))
(/.f64 (-.f64 841/16 (.f64 500246412961/2985984 (.f64 x x))) (+.f64 29/4 (*.f64 707281/1728 x)))
(/.f64 (+.f64 24389/64 (.f64 -353814783205469041/5159780352 (pow.f64 x 3))) (+.f64 841/16 (-.f64 (.f64 500246412961/2985984 (.f64 x x)) (.f64 -20511149/6912 x))))
(/.f64 (+.f64 24389/64 (.f64 -353814783205469041/5159780352 (pow.f64 x 3))) (+.f64 (.f64 500246412961/2985984 (.f64 x x)) (-.f64 841/16 (.f64 -20511149/6912 x))))
(/.f64 (neg.f64 (fma.f64 -707281/1728 x 29/4)) -1)
(/.f64 (neg.f64 (-.f64 841/16 (.f64 500246412961/2985984 (.f64 x x)))) (neg.f64 (+.f64 29/4 (*.f64 707281/1728 x))))
(/.f64 (neg.f64 (+.f64 24389/64 (.f64 -353814783205469041/5159780352 (pow.f64 x 3)))) (neg.f64 (+.f64 841/16 (-.f64 (.f64 500246412961/2985984 (.f64 x x)) (.f64 -20511149/6912 x)))))
(/.f64 (-.f64 (.f64 500246412961/2985984 (.f64 x x)) 841/16) (-.f64 (*.f64 -707281/1728 x) 29/4))
(pow.f64 (fma.f64 -707281/1728 x 29/4) 1)
(pow.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 3)
(pow.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) 2))
(log.f64 (exp.f64 (fma.f64 -707281/1728 x 29/4)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -707281/1728 x 29/4))))
(cbrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) 3))
(expm1.f64 (log1p.f64 (fma.f64 -707281/1728 x 29/4)))
(exp.f64 (log.f64 (fma.f64 -707281/1728 x 29/4)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -707281/1728 x 29/4)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -707281/1728 x 29/4)))
(fma.f64 1 (*.f64 -707281/1728 x) 29/4)
(fma.f64 -707281/1728 x 29/4)
(fma.f64 x -707281/1728 29/4)
(fma.f64 (sqrt.f64 (.f64 -707281/1728 x)) (sqrt.f64 (.f64 -707281/1728 x)) 29/4)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -707281/1728 x)) 2) (cbrt.f64 (.f64 -707281/1728 x)) 29/4)

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 20511149/46656 (pow.f64 x 2))))
(+.f64 4/29 (fma.f64 841/108 x (.f64 20511149/46656 (.f64 x x))))
(+.f64 (fma.f64 841/108 x 4/29) (.f64 x (.f64 x 20511149/46656)))
(fma.f64 841/108 x (fma.f64 x (*.f64 x 20511149/46656) 4/29))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 4/29 (fma.f64 841/108 x (fma.f64 20511149/46656 (.f64 x x) (.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 (fma.f64 841/108 x 4/29) (fma.f64 20511149/46656 (.f64 x x) (.f64 500246412961/20155392 (pow.f64 x 3))))
(+.f64 (fma.f64 841/108 x 4/29) (.f64 (.f64 x x) (+.f64 20511149/46656 (*.f64 x 500246412961/20155392))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 x)))
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (/.f64 -322486272/420707233300201 (pow.f64 x 3)) (/.f64 -746496/17249876309 (*.f64 x x))))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -322486272/420707233300201 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (+.f64 (/.f64 -322486272/420707233300201 (pow.f64 x 3)) (/.f64 -746496/17249876309 (*.f64 x x)))) (/.f64 -139314069504/10260628712958602189 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -322486272/420707233300201 (pow.f64 x 3)))) (/.f64 -139314069504/10260628712958602189 (pow.f64 x 4)))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 x)))
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (/.f64 -322486272/420707233300201 (pow.f64 x 3)) (/.f64 -746496/17249876309 (*.f64 x x))))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -322486272/420707233300201 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (+.f64 (/.f64 -322486272/420707233300201 (pow.f64 x 3)) (/.f64 -746496/17249876309 (*.f64 x x)))) (/.f64 -139314069504/10260628712958602189 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -322486272/420707233300201 (pow.f64 x 3)))) (/.f64 -139314069504/10260628712958602189 (pow.f64 x 4)))
29/4
(*.f64 -707281/1728 x)
(*.f64 x -707281/1728)
(*.f64 -707281/1728 x)
(*.f64 x -707281/1728)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)))) 1)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(*.f64 1 (/.f64 1 (fma.f64 -707281/1728 x 29/4)))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(*.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)) 1)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(*.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -1/2) (pow.f64 (fma.f64 -707281/1728 x 29/4) -1/2))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))) (cbrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -2)) (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -707281/1728 x 29/4))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(.f64 (/.f64 1 (-.f64 841/16 (.f64 500246412961/2985984 (.f64 x x)))) (+.f64 29/4 (.f64 707281/1728 x)))
(.f64 (/.f64 1 (+.f64 841/16 (.f64 -500246412961/2985984 (.f64 x x)))) (+.f64 29/4 (.f64 x 707281/1728)))
(/.f64 (fma.f64 x 707281/1728 29/4) (+.f64 841/16 (.f64 (.f64 x x) -500246412961/2985984)))
(/.f64 (fma.f64 x 707281/1728 29/4) (fma.f64 (*.f64 x -500246412961/2985984) x 841/16))
(.f64 (/.f64 1 (+.f64 24389/64 (.f64 -353814783205469041/5159780352 (pow.f64 x 3)))) (+.f64 841/16 (-.f64 (.f64 500246412961/2985984 (.f64 x x)) (*.f64 -20511149/6912 x))))
(.f64 (/.f64 1 (+.f64 24389/64 (.f64 (pow.f64 x 3) -353814783205469041/5159780352))) (+.f64 841/16 (+.f64 (.f64 (.f64 x x) 500246412961/2985984) (*.f64 20511149/6912 x))))
(/.f64 (+.f64 841/16 (.f64 x (+.f64 (.f64 x 500246412961/2985984) 20511149/6912))) (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64))
(/.f64 (fma.f64 x (fma.f64 x 500246412961/2985984 20511149/6912) 841/16) (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) -1) (pow.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) -1))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) -1))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(pow.f64 (fma.f64 -707281/1728 x 29/4) -1)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(pow.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)) 1)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(pow.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -1/2) 2)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))) 3)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)) 3) 1/3)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(sqrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -2))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4)) 3))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -707281/1728 x 29/4))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(exp.f64 (*.f64 (log.f64 (fma.f64 -707281/1728 x 29/4)) -1))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -707281/1728 x 29/4))) 1))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -707281/1728 x))) 1)
(*.f64 x -707281/1728)
(pow.f64 (*.f64 -707281/1728 x) 1)
(*.f64 x -707281/1728)
(pow.f64 (sqrt.f64 (*.f64 -707281/1728 x)) 2)
(*.f64 x -707281/1728)
(pow.f64 (cbrt.f64 (*.f64 -707281/1728 x)) 3)
(*.f64 x -707281/1728)
(pow.f64 (*.f64 -353814783205469041/5159780352 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352))
(sqrt.f64 (.f64 500246412961/2985984 (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) 500246412961/2985984))
(sqrt.f64 (.f64 x (.f64 x 500246412961/2985984)))
(log.f64 (pow.f64 (exp.f64 -707281/1728) x))
(*.f64 x -707281/1728)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -707281/1728 x))))
(*.f64 x -707281/1728)
(cbrt.f64 (*.f64 -353814783205469041/5159780352 (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352))
(expm1.f64 (log1p.f64 (*.f64 -707281/1728 x)))
(*.f64 x -707281/1728)
(exp.f64 (log.f64 (*.f64 -707281/1728 x)))
(*.f64 x -707281/1728)
(exp.f64 (.f64 (log.f64 (.f64 -707281/1728 x)) 1))
(*.f64 x -707281/1728)
(log1p.f64 (expm1.f64 (*.f64 -707281/1728 x)))
(*.f64 x -707281/1728)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -707281/1728 x 29/4))) 1)
(fma.f64 x -707281/1728 29/4)
(-.f64 (/.f64 841/16 (+.f64 29/4 (.f64 707281/1728 x))) (/.f64 (.f64 500246412961/2985984 (.f64 x x)) (+.f64 29/4 (.f64 707281/1728 x))))
(/.f64 (+.f64 841/16 (.f64 -500246412961/2985984 (.f64 x x))) (+.f64 29/4 (*.f64 x 707281/1728)))
(/.f64 (+.f64 841/16 (.f64 (.f64 x x) -500246412961/2985984)) (fma.f64 x 707281/1728 29/4))
(/.f64 (fma.f64 (*.f64 x -500246412961/2985984) x 841/16) (fma.f64 x 707281/1728 29/4))
(*.f64 1 (fma.f64 -707281/1728 x 29/4))
(fma.f64 x -707281/1728 29/4)
(*.f64 (fma.f64 -707281/1728 x 29/4) 1)
(fma.f64 x -707281/1728 29/4)
(*.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) (sqrt.f64 (fma.f64 -707281/1728 x 29/4)))
(fma.f64 x -707281/1728 29/4)
(*.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2))
(fma.f64 x -707281/1728 29/4)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2) (cbrt.f64 (fma.f64 -707281/1728 x 29/4)))
(fma.f64 x -707281/1728 29/4)
(.f64 (-.f64 841/16 (.f64 500246412961/2985984 (.f64 x x))) (/.f64 1 (+.f64 29/4 (.f64 707281/1728 x))))
(/.f64 (+.f64 841/16 (.f64 -500246412961/2985984 (.f64 x x))) (+.f64 29/4 (*.f64 x 707281/1728)))
(/.f64 (+.f64 841/16 (.f64 (.f64 x x) -500246412961/2985984)) (fma.f64 x 707281/1728 29/4))
(/.f64 (fma.f64 (*.f64 x -500246412961/2985984) x 841/16) (fma.f64 x 707281/1728 29/4))
(.f64 (+.f64 24389/64 (.f64 -353814783205469041/5159780352 (pow.f64 x 3))) (/.f64 1 (+.f64 841/16 (-.f64 (.f64 500246412961/2985984 (.f64 x x)) (*.f64 -20511149/6912 x)))))
(.f64 (+.f64 24389/64 (.f64 (pow.f64 x 3) -353814783205469041/5159780352)) (/.f64 1 (+.f64 841/16 (+.f64 (.f64 (.f64 x x) 500246412961/2985984) (*.f64 20511149/6912 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64) (+.f64 841/16 (.f64 x (+.f64 (.f64 x 500246412961/2985984) 20511149/6912))))
(/.f64 (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64) (fma.f64 x (fma.f64 x 500246412961/2985984 20511149/6912) 841/16))
(/.f64 1 (/.f64 1 (fma.f64 -707281/1728 x 29/4)))
(fma.f64 x -707281/1728 29/4)
(/.f64 1 (/.f64 (+.f64 29/4 (.f64 707281/1728 x)) (-.f64 841/16 (.f64 500246412961/2985984 (*.f64 x x)))))
(/.f64 (+.f64 841/16 (.f64 -500246412961/2985984 (.f64 x x))) (+.f64 29/4 (*.f64 x 707281/1728)))
(/.f64 (+.f64 841/16 (.f64 (.f64 x x) -500246412961/2985984)) (fma.f64 x 707281/1728 29/4))
(/.f64 (fma.f64 (*.f64 x -500246412961/2985984) x 841/16) (fma.f64 x 707281/1728 29/4))
(/.f64 1 (/.f64 (+.f64 841/16 (-.f64 (.f64 500246412961/2985984 (.f64 x x)) (.f64 -20511149/6912 x))) (+.f64 24389/64 (.f64 -353814783205469041/5159780352 (pow.f64 x 3)))))
(.f64 (+.f64 24389/64 (.f64 (pow.f64 x 3) -353814783205469041/5159780352)) (/.f64 1 (+.f64 841/16 (+.f64 (.f64 (.f64 x x) 500246412961/2985984) (*.f64 20511149/6912 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64) (+.f64 841/16 (.f64 x (+.f64 (.f64 x 500246412961/2985984) 20511149/6912))))
(/.f64 (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64) (fma.f64 x (fma.f64 x 500246412961/2985984 20511149/6912) 841/16))
(/.f64 (fma.f64 -707281/1728 x 29/4) 1)
(fma.f64 x -707281/1728 29/4)
(/.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) (pow.f64 (fma.f64 -707281/1728 x 29/4) -1/2))
(/.f64 (sqrt.f64 (fma.f64 x -707281/1728 29/4)) (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2) (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -707281/1728 29/4)) 2) (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
(/.f64 (-.f64 841/16 (.f64 500246412961/2985984 (.f64 x x))) (+.f64 29/4 (*.f64 707281/1728 x)))
(/.f64 (+.f64 841/16 (.f64 -500246412961/2985984 (.f64 x x))) (+.f64 29/4 (*.f64 x 707281/1728)))
(/.f64 (+.f64 841/16 (.f64 (.f64 x x) -500246412961/2985984)) (fma.f64 x 707281/1728 29/4))
(/.f64 (fma.f64 (*.f64 x -500246412961/2985984) x 841/16) (fma.f64 x 707281/1728 29/4))
(/.f64 (+.f64 24389/64 (.f64 -353814783205469041/5159780352 (pow.f64 x 3))) (+.f64 841/16 (-.f64 (.f64 500246412961/2985984 (.f64 x x)) (.f64 -20511149/6912 x))))
(.f64 (+.f64 24389/64 (.f64 (pow.f64 x 3) -353814783205469041/5159780352)) (/.f64 1 (+.f64 841/16 (+.f64 (.f64 (.f64 x x) 500246412961/2985984) (*.f64 20511149/6912 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64) (+.f64 841/16 (.f64 x (+.f64 (.f64 x 500246412961/2985984) 20511149/6912))))
(/.f64 (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64) (fma.f64 x (fma.f64 x 500246412961/2985984 20511149/6912) 841/16))
(/.f64 (+.f64 24389/64 (.f64 -353814783205469041/5159780352 (pow.f64 x 3))) (+.f64 (.f64 500246412961/2985984 (.f64 x x)) (-.f64 841/16 (.f64 -20511149/6912 x))))
(.f64 (+.f64 24389/64 (.f64 (pow.f64 x 3) -353814783205469041/5159780352)) (/.f64 1 (+.f64 841/16 (+.f64 (.f64 (.f64 x x) 500246412961/2985984) (*.f64 20511149/6912 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64) (+.f64 841/16 (.f64 x (+.f64 (.f64 x 500246412961/2985984) 20511149/6912))))
(/.f64 (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64) (fma.f64 x (fma.f64 x 500246412961/2985984 20511149/6912) 841/16))
(/.f64 (neg.f64 (fma.f64 -707281/1728 x 29/4)) -1)
(fma.f64 x -707281/1728 29/4)
(/.f64 (neg.f64 (-.f64 841/16 (.f64 500246412961/2985984 (.f64 x x)))) (neg.f64 (+.f64 29/4 (*.f64 707281/1728 x))))
(/.f64 (+.f64 841/16 (.f64 -500246412961/2985984 (.f64 x x))) (+.f64 29/4 (*.f64 x 707281/1728)))
(/.f64 (+.f64 841/16 (.f64 (.f64 x x) -500246412961/2985984)) (fma.f64 x 707281/1728 29/4))
(/.f64 (fma.f64 (*.f64 x -500246412961/2985984) x 841/16) (fma.f64 x 707281/1728 29/4))
(/.f64 (neg.f64 (+.f64 24389/64 (.f64 -353814783205469041/5159780352 (pow.f64 x 3)))) (neg.f64 (+.f64 841/16 (-.f64 (.f64 500246412961/2985984 (.f64 x x)) (.f64 -20511149/6912 x)))))
(.f64 (+.f64 24389/64 (.f64 (pow.f64 x 3) -353814783205469041/5159780352)) (/.f64 1 (+.f64 841/16 (+.f64 (.f64 (.f64 x x) 500246412961/2985984) (*.f64 20511149/6912 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64) (+.f64 841/16 (.f64 x (+.f64 (.f64 x 500246412961/2985984) 20511149/6912))))
(/.f64 (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64) (fma.f64 x (fma.f64 x 500246412961/2985984 20511149/6912) 841/16))
(/.f64 (-.f64 (.f64 500246412961/2985984 (.f64 x x)) 841/16) (-.f64 (*.f64 -707281/1728 x) 29/4))
(/.f64 (+.f64 841/16 (.f64 -500246412961/2985984 (.f64 x x))) (+.f64 29/4 (*.f64 x 707281/1728)))
(/.f64 (+.f64 841/16 (.f64 (.f64 x x) -500246412961/2985984)) (fma.f64 x 707281/1728 29/4))
(/.f64 (fma.f64 (*.f64 x -500246412961/2985984) x 841/16) (fma.f64 x 707281/1728 29/4))
(pow.f64 (fma.f64 -707281/1728 x 29/4) 1)
(fma.f64 x -707281/1728 29/4)
(pow.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) 2)
(fma.f64 x -707281/1728 29/4)
(pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 3)
(fma.f64 x -707281/1728 29/4)
(pow.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) 3) 1/3)
(fma.f64 x -707281/1728 29/4)
(sqrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) 2))
(fma.f64 x -707281/1728 29/4)
(log.f64 (exp.f64 (fma.f64 -707281/1728 x 29/4)))
(fma.f64 x -707281/1728 29/4)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -707281/1728 x 29/4))))
(fma.f64 x -707281/1728 29/4)
(cbrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) 3))
(fma.f64 x -707281/1728 29/4)
(expm1.f64 (log1p.f64 (fma.f64 -707281/1728 x 29/4)))
(fma.f64 x -707281/1728 29/4)
(exp.f64 (log.f64 (fma.f64 -707281/1728 x 29/4)))
(fma.f64 x -707281/1728 29/4)
(exp.f64 (*.f64 (log.f64 (fma.f64 -707281/1728 x 29/4)) 1))
(fma.f64 x -707281/1728 29/4)
(log1p.f64 (expm1.f64 (fma.f64 -707281/1728 x 29/4)))
(fma.f64 x -707281/1728 29/4)
(fma.f64 1 (*.f64 -707281/1728 x) 29/4)
(fma.f64 x -707281/1728 29/4)
(fma.f64 -707281/1728 x 29/4)
(fma.f64 x -707281/1728 29/4)
(fma.f64 x -707281/1728 29/4)
(fma.f64 (sqrt.f64 (.f64 -707281/1728 x)) (sqrt.f64 (.f64 -707281/1728 x)) 29/4)
(fma.f64 x -707281/1728 29/4)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -707281/1728 x)) 2) (cbrt.f64 (.f64 -707281/1728 x)) 29/4)
(fma.f64 x -707281/1728 29/4)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
	0.3b	(/.f64 108/841 x)
✓	0.3b	(/.f64 46656/20511149 (*.f64 x x))
✓	0.6b	(/.f64 1 (-.f64 (/.f64 108/841 x) (/.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
0.0ms	x	@	0	(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
0.0ms	x	@	0	(/.f64 46656/20511149 (*.f64 x x))
0.0ms	x	@	inf	(/.f64 46656/20511149 (*.f64 x x))
0.0ms	x	@	inf	(/.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)))

rewrite149.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`*-commutative`
686×	`associate-/l*`
634×	`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 → 295

Calls

Call 1

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

Outputs

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simplify213.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1322×	`associate-r`
1004×	`associate-/r*`
950×	`*-commutative`
944×	`associate-l`
876×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	739	18407
1	2249	17141

Stop Event

1×	node limit

Counts

331 → 505

Calls

Call 1

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

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))
	0.1b	(*.f64 x -841/108)
✓	0.4b	(/.f64 -1728/707281 x)
	13.3b	(.f64 (/.f64 707281/11664 (+.f64 4/29 (.f64 x -841/108))) (*.f64 x x))

Compiler

Compiled 53 to 37 computations (30.2% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`add-sqr-sqrt`
994×	`*-un-lft-identity`
948×	`pow1`
938×	`add-cube-cbrt`
930×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	107	7
2	1262	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(/.f64 -1728/707281 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1728/707281 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1728/707281 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1728/707281 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1728/707281 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1728/707281 x)) (sqrt.f64 (/.f64 -1728/707281 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1728/707281 x)) (cbrt.f64 (/.f64 2985984/500246412961 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2985984/500246412961 (*.f64 x x))) (cbrt.f64 (/.f64 -1728/707281 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -1728/707281)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1728/707281 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1728/707281 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1728/707281 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1728/707281 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1728/707281 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -707281/1728) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2985984/500246412961 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1728/707281 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1728/707281 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1728/707281 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1728/707281 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1728/707281 x)))))))

simplify41.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1012×	`associate-r`
940×	`associate-*r/`
900×	`associate-/l*`
782×	`associate-l`
692×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	378
1	101	264
2	451	150
3	2646	144

Stop Event

1×	node limit

Counts

20 → 24

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 -1728/707281 x)) 1)
(*.f64 -1728/707281 (/.f64 1 x))
(*.f64 (/.f64 -1728/707281 x) 1)
(*.f64 1 (/.f64 -1728/707281 x))
(*.f64 (sqrt.f64 (/.f64 -1728/707281 x)) (sqrt.f64 (/.f64 -1728/707281 x)))
(.f64 (cbrt.f64 (/.f64 -1728/707281 x)) (cbrt.f64 (/.f64 2985984/500246412961 (.f64 x x))))
(.f64 (cbrt.f64 (/.f64 2985984/500246412961 (.f64 x x))) (cbrt.f64 (/.f64 -1728/707281 x)))
(*.f64 (/.f64 1 x) -1728/707281)
(*.f64 1728/707281 (/.f64 1 (neg.f64 x)))
(pow.f64 (/.f64 -1728/707281 x) 1)
(pow.f64 (sqrt.f64 (/.f64 -1728/707281 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 -1728/707281 x)) 3)
(pow.f64 (pow.f64 (/.f64 -1728/707281 x) 3) 1/3)
(pow.f64 (*.f64 x -707281/1728) -1)
(sqrt.f64 (/.f64 2985984/500246412961 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 -1728/707281 x)))
(cbrt.f64 (pow.f64 (/.f64 -1728/707281 x) 3))
(expm1.f64 (log1p.f64 (/.f64 -1728/707281 x)))
(exp.f64 (log.f64 (/.f64 -1728/707281 x)))
(log1p.f64 (expm1.f64 (/.f64 -1728/707281 x)))

Outputs
(-.f64 (+.f64 1 (/.f64 -1728/707281 x)) 1)
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(*.f64 -1728/707281 (/.f64 1 x))
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(*.f64 (/.f64 -1728/707281 x) 1)
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(*.f64 1 (/.f64 -1728/707281 x))
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(*.f64 (sqrt.f64 (/.f64 -1728/707281 x)) (sqrt.f64 (/.f64 -1728/707281 x)))
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(.f64 (cbrt.f64 (/.f64 -1728/707281 x)) (cbrt.f64 (/.f64 2985984/500246412961 (.f64 x x))))
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(.f64 (cbrt.f64 (/.f64 2985984/500246412961 (.f64 x x))) (cbrt.f64 (/.f64 -1728/707281 x)))
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(*.f64 (/.f64 1 x) -1728/707281)
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(*.f64 1728/707281 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(pow.f64 (/.f64 -1728/707281 x) 1)
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(pow.f64 (sqrt.f64 (/.f64 -1728/707281 x)) 2)
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(pow.f64 (cbrt.f64 (/.f64 -1728/707281 x)) 3)
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(pow.f64 (pow.f64 (/.f64 -1728/707281 x) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(pow.f64 (*.f64 x -707281/1728) -1)
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(sqrt.f64 (/.f64 2985984/500246412961 (*.f64 x x)))
(fabs.f64 (/.f64 -1728/707281 x))
(log.f64 (exp.f64 (/.f64 -1728/707281 x)))
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(cbrt.f64 (pow.f64 (/.f64 -1728/707281 x) 3))
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(expm1.f64 (log1p.f64 (/.f64 -1728/707281 x)))
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(exp.f64 (log.f64 (/.f64 -1728/707281 x)))
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)
(log1p.f64 (expm1.f64 (/.f64 -1728/707281 x)))
(+.f64 (+.f64 1 (/.f64 -1728/707281 x)) -1)
(+.f64 (/.f64 -1728/707281 x) 0)
(/.f64 -1728/707281 x)

eval861.0ms (13.7%)

Compiler: Compiled 29890 to 22756 computations (23.9% saved)

prune318.0ms (5.1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1326	2	1328
Fresh	1	1	2
Picked	0	1	1
Done	3	4	7
Total	1330	8	1338

Error

Counts

1338 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.3b	(/.f64 (*.f64 x 1) (-.f64 108/841 (/.f64 46656/20511149 x)))
✓	33.4b	(/.f64 1 (/.f64 108/841 x))
✓	30.3b	(/.f64 1 (+.f64 29/4 (*.f64 -707281/1728 x)))
✓	46.7b	(-.f64 (/.f64 -1728/707281 x) (.f64 (/.f64 707281/11664 (+.f64 4/29 (.f64 x -841/108))) (*.f64 x x)))
▶	47.2b	(-.f64 (/.f64 -1728/707281 x) (.f64 (/.f64 -841/108 x) (.f64 x x)))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	33.3b	(*.f64 841/108 x)
	29.8b	4/29

Compiler

Compiled 64 to 50 computations (21.9% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 -841/108 x)
	0.4b	(/.f64 -1728/707281 x)
✓	28.8b	(.f64 (/.f64 -841/108 x) (.f64 x x))

Compiler

Compiled 31 to 17 computations (45.2% saved)

series0.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite56.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`add-sqr-sqrt`
1440×	`*-un-lft-identity`
1354×	`add-cube-cbrt`
1338×	`add-cbrt-cube`
1326×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	26
1	151	26
2	1911	26

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1224×	`associate-/l*`
970×	`unswap-sqr`
894×	`associate-*r/`
758×	`associate-+r-`
744×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	657
1	247	537
2	1255	405
3	7230	405

Stop Event

1×	node limit

Counts

55 → 48

Calls

Call 1

Inputs
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(-.f64 (+.f64 1 (.f64 x (.f64 x (/.f64 -841/108 x)))) 1)
(/.f64 -841/108 (/.f64 x (*.f64 x x)))
(/.f64 (.f64 x x) (.f64 x -108/841))
(/.f64 1 (/.f64 x (.f64 -841/108 (.f64 x x))))
(/.f64 (.f64 -841/108 (.f64 x x)) x)
(/.f64 (.f64 (.f64 x x) 841/108) (neg.f64 x))
(/.f64 (.f64 841/108 (.f64 x x)) (neg.f64 x))
(/.f64 (/.f64 (.f64 -841/108 (.f64 x x)) 1) x)
(/.f64 (/.f64 (.f64 -841/108 (.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (.f64 -841/108 (.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (.f64 -841/108 (.f64 x x))) (neg.f64 x))
(pow.f64 (.f64 x (.f64 x (/.f64 -841/108 x))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 -841/108 x))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (/.f64 -841/108 x)))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x (/.f64 -841/108 x))) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 x 4) (/.f64 707281/11664 (.f64 x x))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 -841/108 x)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (/.f64 -841/108 x))) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (/.f64 -841/108 x)))))
(exp.f64 (log.f64 (.f64 x (.f64 x (/.f64 -841/108 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x (/.f64 -841/108 x)))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (/.f64 -841/108 x)))))
(-.f64 (+.f64 1 (/.f64 -841/108 x)) 1)
(*.f64 -841/108 (/.f64 1 x))
(*.f64 (/.f64 -841/108 x) 1)
(*.f64 1 (/.f64 -841/108 x))
(*.f64 (sqrt.f64 (/.f64 -841/108 x)) (sqrt.f64 (/.f64 -841/108 x)))
(*.f64 (cbrt.f64 (/.f64 -841/108 x)) (pow.f64 (cbrt.f64 (/.f64 -841/108 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -841/108 x)) 2) (cbrt.f64 (/.f64 -841/108 x)))
(*.f64 (/.f64 1 x) -841/108)
(*.f64 841/108 (/.f64 1 (neg.f64 x)))
(pow.f64 (/.f64 -841/108 x) 1)
(pow.f64 (sqrt.f64 (/.f64 -841/108 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 -841/108 x)) 3)
(pow.f64 (pow.f64 (/.f64 -841/108 x) 3) 1/3)
(pow.f64 (*.f64 x -108/841) -1)
(sqrt.f64 (/.f64 707281/11664 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 -841/108 x)))
(cbrt.f64 (pow.f64 (/.f64 -841/108 x) 3))
(expm1.f64 (log1p.f64 (/.f64 -841/108 x)))
(exp.f64 (log.f64 (/.f64 -841/108 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 -841/108 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 -841/108 x)))

Outputs
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(-.f64 (+.f64 1 (.f64 x (.f64 x (/.f64 -841/108 x)))) 1)
(*.f64 -841/108 x)
(/.f64 -841/108 (/.f64 x (*.f64 x x)))
(*.f64 -841/108 x)
(/.f64 (.f64 x x) (.f64 x -108/841))
(*.f64 -841/108 x)
(/.f64 1 (/.f64 x (.f64 -841/108 (.f64 x x))))
(*.f64 -841/108 x)
(/.f64 (.f64 -841/108 (.f64 x x)) x)
(*.f64 -841/108 x)
(/.f64 (.f64 (.f64 x x) 841/108) (neg.f64 x))
(*.f64 -841/108 x)
(/.f64 (.f64 841/108 (.f64 x x)) (neg.f64 x))
(*.f64 -841/108 x)
(/.f64 (/.f64 (.f64 -841/108 (.f64 x x)) 1) x)
(*.f64 -841/108 x)
(/.f64 (/.f64 (.f64 -841/108 (.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 -841/108 x)
(/.f64 (/.f64 (.f64 -841/108 (.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -841/108 x)
(/.f64 (neg.f64 (.f64 -841/108 (.f64 x x))) (neg.f64 x))
(*.f64 -841/108 x)
(pow.f64 (.f64 x (.f64 x (/.f64 -841/108 x))) 1)
(*.f64 -841/108 x)
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 -841/108 x))) 2)
(*.f64 -841/108 x)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (/.f64 -841/108 x)))) 3)
(*.f64 -841/108 x)
(pow.f64 (pow.f64 (.f64 x (.f64 x (/.f64 -841/108 x))) 3) 1/3)
(*.f64 -841/108 x)
(sqrt.f64 (.f64 (pow.f64 x 4) (/.f64 707281/11664 (.f64 x x))))
(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 -841/108 x)))
(*.f64 -841/108 x)
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (/.f64 -841/108 x))) 3))
(*.f64 -841/108 x)
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (/.f64 -841/108 x)))))
(*.f64 -841/108 x)
(exp.f64 (log.f64 (.f64 x (.f64 x (/.f64 -841/108 x)))))
(*.f64 -841/108 x)
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x (/.f64 -841/108 x)))) 1))
(*.f64 -841/108 x)
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (/.f64 -841/108 x)))))
(*.f64 -841/108 x)
(-.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 (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)
(*.f64 (/.f64 -841/108 x) 1)
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)
(*.f64 1 (/.f64 -841/108 x))
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)
(*.f64 (sqrt.f64 (/.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 (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 (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 1 x) -841/108)
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)
(*.f64 841/108 (/.f64 1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)
(pow.f64 (/.f64 -841/108 x) 1)
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)
(pow.f64 (sqrt.f64 (/.f64 -841/108 x)) 2)
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)
(pow.f64 (cbrt.f64 (/.f64 -841/108 x)) 3)
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)
(pow.f64 (pow.f64 (/.f64 -841/108 x) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)
(pow.f64 (*.f64 x -108/841) -1)
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)
(sqrt.f64 (/.f64 707281/11664 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 -841/108 x)))
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)
(cbrt.f64 (pow.f64 (/.f64 -841/108 x) 3))
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)
(expm1.f64 (log1p.f64 (/.f64 -841/108 x)))
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)
(exp.f64 (log.f64 (/.f64 -841/108 x)))
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)
(exp.f64 (*.f64 (log.f64 (/.f64 -841/108 x)) 1))
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)
(log1p.f64 (expm1.f64 (/.f64 -841/108 x)))
(+.f64 1 (-.f64 (/.f64 -841/108 x) 1))
(+.f64 (/.f64 -841/108 x) 0)
(/.f64 -841/108 x)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite87.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`associate-*l/`
1114×	`associate-/r*`
824×	`*-commutative`
772×	`associate-/l*`
512×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	222	39
2	2597	39

Stop Event

1×	node limit

Counts

3 → 223

Calls

Call 1

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

Outputs

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108/841 (/.f64 -46656/20511149 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))))))

simplify141.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

746×	`distribute-lft-neg-in`
636×	`associate-r`
618×	`associate-l`
598×	`associate-/r*`
592×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	544	8065
1	1526	7633
2	6541	7631

Stop Event

1×	node limit

Counts

247 → 334

Calls

Call 1

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

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

eval159.0ms (2.5%)

Compiler: Compiled 7727 to 5973 computations (22.7% saved)

prune66.0ms (1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	404	2	406
Fresh	0	1	1
Picked	1	0	1
Done	1	5	6
Total	406	8	414

Error

Counts

414 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	33.4b	(/.f64 (*.f64 x 1) 108/841)
	33.3b	(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
✓	30.3b	(/.f64 1 (+.f64 29/4 (*.f64 -707281/1728 x)))
✓	46.7b	(-.f64 (/.f64 -1728/707281 x) (.f64 (/.f64 707281/11664 (+.f64 4/29 (.f64 x -841/108))) (*.f64 x x)))
✓	47.2b	(-.f64 (/.f64 -1728/707281 x) (.f64 (/.f64 -841/108 x) (.f64 x x)))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	33.3b	(*.f64 841/108 x)
	29.8b	4/29

Compiler

Compiled 62 to 48 computations (22.6% saved)

regimes32.0ms (0.5%)

Counts

20 → 1

Calls

Call 1

Inputs
4/29
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)
(/.f64 1 (/.f64 108/841 x))
(/.f64 (*.f64 x 1) 108/841)
(/.f64 1 (+.f64 29/4 (*.f64 -707281/1728 x)))
(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 (*.f64 x 1) (-.f64 108/841 (/.f64 46656/20511149 x)))
(-.f64 (/.f64 -1728/707281 x) (.f64 (/.f64 -841/108 x) (.f64 x x)))
(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(-.f64 (/.f64 -1728/707281 x) (.f64 (/.f64 707281/11664 (+.f64 4/29 (.f64 x -841/108))) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (.f64 (/.f64 707281/11664 (+.f64 4/29 (.f64 x -841/108))) (.f64 x x)))
(fma.f64 841/108 x 4/29)
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (/.f64 x (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) x)))
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 x -841/108))) (/.f64 (.f64 707281/11664 x) (/.f64 (fma.f64 x -841/108 4/29) x)))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) (.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 230 to 177 computations (23% saved)

regimes25.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 154 to 115 computations (25.3% saved)

regimes10.0ms (0.2%)

Accuracy

Total -60.5b remaining (-4673%)

Threshold costs -60.5b (-4673%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.3b	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch28.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	0.0004193807485938944	0.04236781280525756
17.0ms	-14354507077.923384	-9.261127397406243e-6

Results

25.0ms

272×

body

256

valid

Compiler

Compiled 150 to 131 computations (12.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	25	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 28 to 24 computations (14.3% saved)

end30.0ms (0.5%)

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

Details

analyze28.0ms (0.4%)

sample1.2s (18.9%)

preprocess4.0ms (0.1%)

simplify11.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize41.0ms (0.6%)

series1.0ms (0%)

rewrite95.0ms (1.5%)

simplify115.0ms (1.8%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite50.0ms (0.8%)

simplify62.0ms (1%)

eval130.0ms (2.1%)

prune82.0ms (1.3%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite60.0ms (1%)

simplify55.0ms (0.9%)

localize3.0ms (0%)

localize15.0ms (0.2%)

series29.0ms (0.5%)

rewrite86.0ms (1.4%)

simplify144.0ms (2.3%)

localize21.0ms (0.3%)

series1.0ms (0%)

rewrite93.0ms (1.5%)

simplify166.0ms (2.6%)

localize23.0ms (0.4%)

series2.0ms (0%)

rewrite117.0ms (1.9%)

simplify113.0ms (1.8%)

eval460.0ms (7.3%)

prune180.0ms (2.9%)

localize29.0ms (0.5%)

series3.0ms (0%)

rewrite94.0ms (1.5%)

simplify105.0ms (1.7%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite56.0ms (0.9%)

simplify48.0ms (0.8%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite65.0ms (1%)

simplify76.0ms (1.2%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite149.0ms (2.4%)

simplify213.0ms (3.4%)

localize22.0ms (0.3%)

series1.0ms (0%)

rewrite59.0ms (0.9%)

simplify41.0ms (0.6%)

eval861.0ms (13.7%)

prune318.0ms (5.1%)

localize11.0ms (0.2%)

series0.0ms (0%)

rewrite56.0ms (0.9%)

simplify57.0ms (0.9%)

localize11.0ms (0.2%)

series1.0ms (0%)

rewrite87.0ms (1.4%)

simplify141.0ms (2.2%)

eval159.0ms (2.5%)

prune66.0ms (1%)

regimes32.0ms (0.5%)

regimes25.0ms (0.4%)

regimes10.0ms (0.2%)

bsearch28.0ms (0.4%)

simplify6.0ms (0.1%)

soundness13.0ms (0.2%)

end30.0ms (0.5%)

Profiling