Details

analyze3.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample971.0ms (14%)

Results

960.0ms	8254×	body	256	valid
0.0ms	2×	body	512	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess19.0ms (0.3%)

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)

localize26.0ms (0.4%)

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)

series2.0ms (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))

rewrite76.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

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

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simplify126.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate-/r/`
1018×	`associate-/l/`
444×	`+-commutative`
426×	`distribute-lft-neg-in`
392×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	5842
1	1070	4826
2	4145	4784

Stop Event

1×	node limit

Counts

152 → 197

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

33 → 31

Calls

Call 1

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

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

eval157.0ms (2.3%)

Compiler: Compiled 4677 to 3785 computations (19.1% saved)

prune35.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	221	7	228
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	222	8	230

Error

0.0b

Counts

230 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 841/108 x 4/29)
▶	15.6b	(/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))
▶	15.6b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
▶	0.1b	(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))
▶	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	30.8b	(*.f64 841/108 x)
	22.3b	(cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3))
	32.5b	4/29

Compiler

Compiled 125 to 104 computations (16.8% 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 841/108 x)
0.0ms	x	@	-inf	(+.f64 (*.f64 841/108 x) 4/29)
0.0ms	x	@	-inf	(*.f64 841/108 x)

rewrite65.0ms (0.9%)

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

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1172×	`associate-/l*`
1020×	`associate-r`
892×	`times-frac`
828×	`associate-l`
760×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	975
1	261	915
2	922	851
3	4060	767

Stop Event

1×	node limit

Counts

57 → 56

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 (+.f64 (*.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 (.f64 841/108 x) 4/29) 1)
(.f64 1 (+.f64 (.f64 841/108 x) 4/29))
(.f64 (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(.f64 (cbrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 841/108 x) 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(.f64 (+.f64 (.f64 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 (+.f64 (*.f64 841/108 x) 4/29) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(exp.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 841/108 x) 4/29)) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.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 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 (+.f64 (*.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 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.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 (.f64 841/108 x) 4/29) 1)
(fma.f64 841/108 x 4/29)
(.f64 1 (+.f64 (.f64 841/108 x) 4/29))
(fma.f64 841/108 x 4/29)
(.f64 (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(fma.f64 841/108 x 4/29)
(.f64 (cbrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2))
(fma.f64 841/108 x 4/29)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 841/108 x) 4/29)) 2) (cbrt.f64 (+.f64 (*.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 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.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 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.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 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.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 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.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 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.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 (+.f64 (*.f64 841/108 x) 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3) 1/3)
(fma.f64 841/108 x 4/29)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 2))
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3))
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 841/108 x) 4/29)) 1))
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 841/108 x) 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 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)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite67.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify89.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1190×	`unswap-sqr`
920×	`associate-+r+`
732×	`associate-+l+`
724×	`associate-*r/`
550×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	1436
1	396	1376
2	1523	1324
3	6837	1324

Stop Event

1×	node limit

Counts

82 → 102

Calls

Call 1

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

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

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 4/29 (*.f64 841/108 x))
	0.1b	(*.f64 841/108 x)
✓	0.2b	(.f64 -707281/11664 (.f64 x x))
✓	14.6b	(/.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)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite88.0ms (1.3%)

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	63
1	295	59
2	3813	59

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -707281/11664 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -707281/11664 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.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 4/29 (*.f64 x -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 (*.f64 x -841/108) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -841/108) 1) 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 4/29 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 4/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x))) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x))) (pow.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x))) 2) (cbrt.f64 (-.f64 4/29 (*.f64 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simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1134×	`distribute-lft-in`
1098×	`distribute-rgt-in`
976×	`associate-/r/`
800×	`associate-/l/`
546×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	309	4486
1	813	3864
2	3574	3864

Stop Event

1×	node limit

Counts

152 → 175

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 841/108 x) 4/29)
	0.1b	(*.f64 841/108 x)
✓	0.2b	(.f64 (.f64 841/108 x) (*.f64 841/108 x))
✓	14.6b	(/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))

Compiler

Compiled 44 to 34 computations (22.7% saved)

series2.0ms (0%)

Counts

3 → 27

Calls

9 calls:

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

rewrite147.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	261	31
2	3559	31

Stop Event

1×	node limit

Counts

3 → 206

Calls

Call 1

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

Outputs

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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)))))

simplify124.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1260×	`associate-l`
1242×	`associate-/r*`
930×	`distribute-lft-in`
874×	`associate-/l*`
838×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	569	10755
1	1943	9979

Stop Event

1×	node limit

Counts

233 → 323

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
-4/29
(*.f64 841/108 x)
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)
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(-.f64 (*.f64 841/108 x) -4/29)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29)
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1)
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(.f64 (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (-.f64 (.f64 (.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29)) x) (.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29)) x)) (.f64 (/.f64 16/841 (-.f64 (.f64 841/108 x) 4/29)) (/.f64 16/841 (-.f64 (.f64 841/108 x) 4/29))))) (.f64 (/.f64 1 (-.f64 (.f64 841/108 x) 4/29)) (fma.f64 707281/11664 (*.f64 x x) 16/841)))
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(.f64 (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) -256/707281) 1)) (.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (-.f64 (*.f64 841/108 x) 4/29)))
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(.f64 (/.f64 (sqrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) 2) (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)))
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(.f64 (/.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (+.f64 (pow.f64 (.f64 841/108 x) 6) (pow.f64 (+.f64 16/841 (.f64 x 29/27)) 3))) (+.f64 (pow.f64 (.f64 841/108 x) 4) (.f64 (+.f64 16/841 (.f64 x 29/27)) (-.f64 (+.f64 16/841 (.f64 x 29/27)) (.f64 x (.f64 x 707281/11664))))))
(.f64 (neg.f64 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))))) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 841/108 x) 4/29)))) (sqrt.f64 (-.f64 (*.f64 841/108 x) 4/29)))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 841/108 x) 4/29)) 2))) (cbrt.f64 (-.f64 (*.f64 841/108 x) 4/29)))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x 4/29))
(/.f64 (-.f64 (*.f64 841/108 x) 4/29) 1)
(/.f64 1 (/.f64 1 (-.f64 (*.f64 841/108 x) 4/29)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x 29/27)) (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)))
(/.f64 1 (.f64 (fma.f64 841/108 x 4/29) (/.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (+.f64 (pow.f64 (*.f64 841/108 x) 4) -256/707281))))
(/.f64 1 (.f64 (fma.f64 841/108 x 4/29) (/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841))) (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321))))
(/.f64 (sqrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) (/.f64 (fma.f64 841/108 x 4/29) (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 (fma.f64 841/108 x 4/29) (sqrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) 2) (/.f64 (fma.f64 841/108 x 4/29) (cbrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)) 2) (.f64 1 (/.f64 (fma.f64 841/108 x 4/29) (cbrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)))))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) -256/707281) (.f64 (fma.f64 841/108 x 4/29) (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) -256/707281) (.f64 1 (.f64 (fma.f64 841/108 x 4/29) (fma.f64 707281/11664 (.f64 x x) 16/841))))
(/.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x 29/27)))
(/.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (-.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 (.f64 841/108 x) -4/29)))
(/.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (.f64 1 (-.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 (*.f64 841/108 x) -4/29))))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321) (.f64 (fma.f64 841/108 x 4/29) (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841)))))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321) (.f64 1 (.f64 (fma.f64 841/108 x 4/29) (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (*.f64 x 707281/11664)) 16/841))))))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321) (.f64 (fma.f64 841/108 x 4/29) (+.f64 (pow.f64 (.f64 841/108 x) 4) (-.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) -16/841)))))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321) (.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x 29/27)) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321) (.f64 (-.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 (.f64 841/108 x) -4/29)) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))))
(/.f64 (+.f64 16/841 (.f64 (.f64 x x) -707281/11664)) (neg.f64 (fma.f64 841/108 x 4/29)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) -256/707281)) (.f64 (/.f64 (fma.f64 841/108 x 4/29) (sqrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841))) (sqrt.f64 (fma.f64 707281/11664 (.f64 x x) 16/841))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321)) (.f64 (/.f64 (fma.f64 841/108 x 4/29) (sqrt.f64 (fma.f64 707281/11664 (.f64 x x) -16/841))) (sqrt.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (*.f64 x 707281/11664)) 16/841))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) -256/707281)) (.f64 (fma.f64 841/108 x 4/29) (neg.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) -256/707281)) (.f64 (neg.f64 (fma.f64 841/108 x 4/29)) (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321)) (.f64 (fma.f64 841/108 x 4/29) (neg.f64 (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 841/108 x) 6) -4096/594823321)) (.f64 (neg.f64 (fma.f64 841/108 x 4/29)) (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841)))))
(/.f64 (neg.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (neg.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 x 29/27))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 841/108 x) 6) (pow.f64 (.f64 841/108 x) 6)) 16777216/353814783205469041) (.f64 (.f64 (fma.f64 841/108 x 4/29) (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841)))) (+.f64 4096/594823321 (pow.f64 (.f64 841/108 x) 6))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 841/108 x) 4) (pow.f64 (.f64 841/108 x) 4)) 65536/500246412961) (.f64 (.f64 (fma.f64 841/108 x 4/29) (fma.f64 707281/11664 (.f64 x x) 16/841)) (+.f64 (pow.f64 (*.f64 841/108 x) 4) 256/707281)))
(/.f64 (-.f64 (pow.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 3) 262144/14507145975869) (.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x 29/27)) (+.f64 (pow.f64 (.f64 841/108 x) 6) (+.f64 4096/594823321 (.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389)))))
(/.f64 (-.f64 (pow.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 3) 262144/14507145975869) (.f64 (-.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 (.f64 841/108 x) -4/29)) (+.f64 (pow.f64 (.f64 841/108 x) 6) (+.f64 4096/594823321 (.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 6) 3) 68719476736/210457284365172120330305161) (.f64 (.f64 (fma.f64 841/108 x 4/29) (+.f64 (pow.f64 (.f64 841/108 x) 4) (+.f64 256/707281 (.f64 (.f64 x (.f64 x 707281/11664)) 16/841)))) (+.f64 (.f64 (pow.f64 (.f64 841/108 x) 6) (pow.f64 (.f64 841/108 x) 6)) (+.f64 16777216/353814783205469041 (.f64 (pow.f64 (.f64 841/108 x) 6) 4096/594823321)))))
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(pow.f64 (-.f64 (*.f64 841/108 x) 4/29) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 841/108 x) 4/29)) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 841/108 x) 4/29)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 841/108 x) 4/29) 3) 1/3)
(neg.f64 (+.f64 4/29 (*.f64 x -841/108)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 841/108 x) 4/29) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 841/108 x) 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 841/108 x) 4/29))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 841/108 x) 4/29) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 841/108 x) 4/29)))
(exp.f64 (log.f64 (-.f64 (*.f64 841/108 x) 4/29)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 841/108 x) 4/29)) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.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 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
-4/29
(*.f64 841/108 x)
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 (.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29)) x) (neg.f64 (/.f64 16/841 (-.f64 (.f64 841/108 x) 4/29))))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(+.f64 (.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29)) x) (.f64 (/.f64 1 (-.f64 (*.f64 841/108 x) 4/29)) -16/841))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
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(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
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(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841)) (.f64 841/108 x)) (.f64 (/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 (.f64 841/108 x) (*.f64 841/108 x)) 16/841)) 4/29))
(fma.f64 841/108 x 4/29)
(+.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841)) 4/29) (.f64 (/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841)) (*.f64 841/108 x)))
(fma.f64 841/108 x 4/29)
(+.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841)) (.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29)) x)) (.f64 (/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841)) (neg.f64 (/.f64 16/841 (-.f64 (.f64 841/108 x) 4/29)))))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
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(.f64 (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)) (+.f64 (+.f64 16/841 (.f64 x 29/27)) (.f64 x (*.f64 x 707281/11664))))
(.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (/.f64 (+.f64 (.f64 x 29/27) (fma.f64 707281/11664 (.f64 x x) 16/841)) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)))
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(fma.f64 841/108 x -4/29)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 841/108 x) 4/29)) 3)
(fma.f64 841/108 x -4/29)
(pow.f64 (pow.f64 (-.f64 (*.f64 841/108 x) 4/29) 3) 1/3)
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(neg.f64 (+.f64 4/29 (*.f64 x -841/108)))
(fma.f64 841/108 x -4/29)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 841/108 x) 4/29) 2))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 841/108 x) 4/29)))
(fma.f64 841/108 x -4/29)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 841/108 x) 4/29))))
(fma.f64 841/108 x -4/29)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 841/108 x) 4/29) 3))
(fma.f64 841/108 x -4/29)
(expm1.f64 (log1p.f64 (-.f64 (*.f64 841/108 x) 4/29)))
(fma.f64 841/108 x -4/29)
(exp.f64 (log.f64 (-.f64 (*.f64 841/108 x) 4/29)))
(fma.f64 841/108 x -4/29)
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 841/108 x) 4/29)) 1))
(fma.f64 841/108 x -4/29)
(log1p.f64 (expm1.f64 (-.f64 (*.f64 841/108 x) 4/29)))
(fma.f64 841/108 x -4/29)
(fma.f64 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 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (cbrt.f64 (.f64 841/108 x)) -4/29)

eval522.0ms (7.5%)

Compiler: Compiled 18044 to 14057 computations (22.1% saved)

prune206.0ms (3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	772	5	777
Fresh	1	1	2
Picked	1	0	1
Done	2	3	5
Total	776	9	785

Error

Counts

785 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.6b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
✓	15.6b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
▶	46.6b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (*.f64 x -841/108))
▶	30.9b	(/.f64 1 (/.f64 108/841 x))
▶	30.8b	(/.f64 1 (-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
▶	0.2b	(-.f64 (.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29)) x) (/.f64 16/841 (-.f64 (.f64 841/108 x) 4/29)))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	30.8b	(*.f64 841/108 x)
	32.5b	4/29

Compiler

Compiled 210 to 161 computations (23.3% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 63 to 49 computations (22.2% saved)

series32.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

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

rewrite98.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`associate-*l/`
1426×	`associate-/r*`
1278×	`associate-/l*`
646×	`associate-/r/`
358×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	267	43
2	3327	41

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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(2) ((x *.f64 (/.f64 -16/841 (neg.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (+.f64 (*.f64 x 29/27) (+.f64 16/841 (pow.f64 (*.f64 841/108 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 16/841 (sqrt.f64 (-.f64 (*.f64 841/108 x) 4/29))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841))) (sqrt.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 16/841 (sqrt.f64 (-.f64 (*.f64 841/108 x) 4/29))) (sqrt.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (sqrt.f64 (+.f64 (*.f64 x 29/27) (+.f64 16/841 (pow.f64 (*.f64 841/108 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (-.f64 (*.f64 841/108 x) 4/29)) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841))) (cbrt.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (-.f64 (*.f64 841/108 x) 4/29)) 2)) (cbrt.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (cbrt.f64 (+.f64 (*.f64 x 29/27) (+.f64 16/841 (pow.f64 (*.f64 841/108 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/29 (sqrt.f64 (-.f64 (*.f64 841/108 x) 4/29))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 x 1728/707281) 29/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 256/707281 (pow.f64 (-.f64 (*.f64 841/108 x) 4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))))))))

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

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1574×	`associate-/r*`
986×	`associate-/l/`
676×	`associate-/r/`
504×	`associate-r`
502×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	4811
1	992	4507
2	4015	4473

Stop Event

1×	node limit

Counts

157 → 245

Calls

Call 1

Inputs
(*.f64 -20511149/46656 x)
(+.f64 (.f64 -500246412961/20155392 (pow.f64 x 2)) (.f64 -20511149/46656 x))
(+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (.f64 -500246412961/20155392 (pow.f64 x 2)) (*.f64 -20511149/46656 x)))
(+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (.f64 -500246412961/20155392 (pow.f64 x 2)) (+.f64 (.f64 -20511149/46656 x) (.f64 -297558232675799463481/3761479876608 (pow.f64 x 4)))))
841/108
(+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (.f64 4/29 (/.f64 1 x))))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x)))))
841/108
(+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (.f64 4/29 (/.f64 1 x))))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x)))))
-4/29
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (+.f64 (.f64 -841/108 x) (.f64 -20511149/46656 (pow.f64 x 2))) 4/29)
(-.f64 (+.f64 (.f64 -841/108 x) (+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))) 4/29)
(/.f64 1728/707281 x)
(+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x)))
(+.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)))))
(+.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)
(+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x)))
(+.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)))))
(+.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 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29)))) 1)
(.f64 x (/.f64 707281/11664 (-.f64 (.f64 841/108 x) 4/29)))
(*.f64 x (/.f64 1 (-.f64 (/.f64 x 841/108) 46656/20511149)))
(.f64 707281/11664 (.f64 x (/.f64 1 (-.f64 (*.f64 841/108 x) 4/29))))
(.f64 707281/11664 (/.f64 x (-.f64 (.f64 841/108 x) 4/29)))
(.f64 (.f64 x 707281/11664) (/.f64 1 (-.f64 (*.f64 841/108 x) 4/29)))
(.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (*.f64 841/108 x) 4/29)) 1)
(.f64 1 (/.f64 (.f64 x 707281/11664) (-.f64 (*.f64 841/108 x) 4/29)))
(.f64 (.f64 841/108 (sqrt.f64 x)) (.f64 (.f64 841/108 (sqrt.f64 x)) (/.f64 1 (-.f64 (*.f64 841/108 x) 4/29))))
(.f64 (sqrt.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29))) (sqrt.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (*.f64 841/108 x) 4/29))))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 500246412961/136048896)) (.f64 (cbrt.f64 (.f64 x 707281/11664)) (/.f64 1 (-.f64 (.f64 841/108 x) 4/29))))
(.f64 (cbrt.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29))) (pow.f64 (cbrt.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (*.f64 841/108 x) 4/29))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29))) 2) (cbrt.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (*.f64 841/108 x) 4/29))))
(.f64 (/.f64 1 (-.f64 (.f64 841/108 x) 4/29)) (*.f64 x 707281/11664))
(.f64 (.f64 x -707281/11664) (/.f64 -1 (-.f64 (*.f64 841/108 x) 4/29)))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 841/108 x) 4/29))) (/.f64 x (/.f64 (sqrt.f64 (-.f64 (*.f64 841/108 x) 4/29)) 707281/11664)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (.f64 841/108 x) 4/29)) 2)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 (*.f64 841/108 x) 4/29)) 707281/11664)))
(.f64 (/.f64 x 11664/707281) (/.f64 1 (-.f64 (.f64 841/108 x) 4/29)))
(.f64 (/.f64 707281/11664 (-.f64 (.f64 841/108 x) 4/29)) x)
(.f64 (/.f64 707281/11664 (sqrt.f64 (-.f64 (.f64 841/108 x) 4/29))) (/.f64 x (sqrt.f64 (-.f64 (*.f64 841/108 x) 4/29))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 841/108 x) 2) -16/841)) (.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 4/29)))
(.f64 (/.f64 1 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (.f64 (.f64 x 707281/11664) (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (.f64 841/108 x) 2)))))
(.f64 (/.f64 x (-.f64 (.f64 841/108 x) 4/29)) 707281/11664)
(.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 2) -16/841) 707281/11664)) (fma.f64 x 841/108 4/29))
(.f64 (/.f64 (.f64 x 707281/11664) (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (*.f64 841/108 x) 2))))
(.f64 (/.f64 (.f64 x 707281/11664) (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (+.f64 (pow.f64 (.f64 841/108 x) 2) (-.f64 16/841 (.f64 (.f64 841/108 x) -4/29))))
(*.f64 (/.f64 1 (-.f64 (/.f64 x 841/108) 46656/20511149)) x)
(.f64 (/.f64 -1 (-.f64 (.f64 841/108 x) 4/29)) (*.f64 x -707281/11664))
(.f64 (/.f64 x 1) (/.f64 707281/11664 (-.f64 (.f64 841/108 x) 4/29)))
(.f64 (/.f64 x (sqrt.f64 (-.f64 (.f64 841/108 x) 4/29))) (/.f64 707281/11664 (sqrt.f64 (-.f64 (*.f64 841/108 x) 4/29))))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (.f64 841/108 x) 4/29)) 2)) (/.f64 707281/11664 (cbrt.f64 (-.f64 (*.f64 841/108 x) 4/29))))
(.f64 (/.f64 707281/11664 (pow.f64 (cbrt.f64 (-.f64 (.f64 841/108 x) 4/29)) 2)) (/.f64 x (cbrt.f64 (-.f64 (*.f64 841/108 x) 4/29))))
(.f64 (/.f64 (sqrt.f64 x) 108/841) (/.f64 (sqrt.f64 x) (/.f64 (-.f64 (.f64 841/108 x) 4/29) 841/108)))
(.f64 (/.f64 (sqrt.f64 x) (/.f64 (-.f64 (.f64 841/108 x) 4/29) 841/108)) (*.f64 841/108 (sqrt.f64 x)))
(.f64 (/.f64 841/108 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 841/108 x) 4/29)) 2) (sqrt.f64 x))) (/.f64 841/108 (/.f64 (cbrt.f64 (-.f64 (*.f64 841/108 x) 4/29)) (sqrt.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 x x) 500246412961/136048896)) 1) (/.f64 (cbrt.f64 (.f64 x 707281/11664)) (-.f64 (*.f64 841/108 x) 4/29)))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 x x) 500246412961/136048896)) (sqrt.f64 (-.f64 (.f64 841/108 x) 4/29))) (/.f64 (cbrt.f64 (.f64 x 707281/11664)) (sqrt.f64 (-.f64 (.f64 841/108 x) 4/29))))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 x x) 500246412961/136048896)) (pow.f64 (cbrt.f64 (-.f64 (.f64 841/108 x) 4/29)) 2)) (cbrt.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29))))
(.f64 (/.f64 (/.f64 x 11664/707281) 1) (/.f64 1 (-.f64 (.f64 841/108 x) 4/29)))
(.f64 (/.f64 x (+.f64 (pow.f64 (.f64 841/108 x) 2) -16/841)) (*.f64 707281/11664 (fma.f64 x 841/108 4/29)))
(.f64 (/.f64 x (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (.f64 707281/11664 (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (*.f64 841/108 x) 2)))))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 (/.f64 x 841/108) 46656/20511149)) (sqrt.f64 x))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 x x) 500246412961/136048896)) (-.f64 (.f64 841/108 x) 4/29)) (cbrt.f64 (*.f64 x 707281/11664)))
(.f64 (/.f64 x (-.f64 4/29 (.f64 841/108 x))) -707281/11664)
(.f64 (/.f64 (.f64 x 707281/11664) (neg.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841))) (neg.f64 (fma.f64 x 841/108 4/29)))
(.f64 (/.f64 (.f64 x 707281/11664) (neg.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (neg.f64 (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (*.f64 841/108 x) 2)))))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 841/108 x) 4/29) (cbrt.f64 (.f64 (.f64 x x) 500246412961/136048896)))) (cbrt.f64 (*.f64 x 707281/11664)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 (/.f64 x 841/108) 46656/20511149)) (cbrt.f64 x))
(.f64 (/.f64 (.f64 x -707281/11664) (neg.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841))) (fma.f64 x 841/108 4/29))
(.f64 (/.f64 (.f64 x -707281/11664) (neg.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (*.f64 841/108 x) 2))))
(.f64 (/.f64 (/.f64 x 11664/707281) (neg.f64 (+.f64 (pow.f64 (.f64 841/108 x) 2) -16/841))) (neg.f64 (fma.f64 x 841/108 4/29)))
(.f64 (/.f64 (/.f64 x 11664/707281) (neg.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (neg.f64 (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (.f64 841/108 x) 2)))))
(.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 (.f64 841/108 x) 4/29)) 707281/11664)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841))) (sqrt.f64 (fma.f64 x 841/108 4/29)))
(.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 (.f64 841/108 x) 4/29)) 707281/11664)) (sqrt.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (sqrt.f64 (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (*.f64 841/108 x) 2)))))
(.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 841/108 x) 4/29)) 2) 707281/11664)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841))) (cbrt.f64 (fma.f64 x 841/108 4/29)))
(.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 841/108 x) 4/29)) 2) 707281/11664)) (cbrt.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (cbrt.f64 (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (*.f64 841/108 x) 2)))))
(pow.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29)) 1)
(pow.f64 (sqrt.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29))) 2)
(pow.f64 (cbrt.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29))) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (/.f64 x 841/108) 46656/20511149) x) -1)
(neg.f64 (/.f64 x (/.f64 (-.f64 4/29 (*.f64 841/108 x)) 707281/11664)))
(sqrt.f64 (pow.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29)) 2))
(log.f64 (exp.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29)))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29)) 3))
(expm1.f64 (log1p.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29))))
(exp.f64 (log.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (*.f64 841/108 x) 4/29))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29)))) 1)
(.f64 16/841 (/.f64 1 (-.f64 (.f64 841/108 x) 4/29)))
(.f64 (/.f64 16/841 (-.f64 (.f64 841/108 x) 4/29)) 1)
(.f64 1 (/.f64 16/841 (-.f64 (.f64 841/108 x) 4/29)))
(.f64 (/.f64 4/29 (sqrt.f64 (-.f64 (.f64 841/108 x) 4/29))) (/.f64 4/29 (sqrt.f64 (-.f64 (*.f64 841/108 x) 4/29))))
(.f64 (cbrt.f64 (/.f64 16/841 (-.f64 (.f64 841/108 x) 4/29))) (cbrt.f64 (/.f64 256/707281 (pow.f64 (-.f64 (*.f64 841/108 x) 4/29) 2))))
(.f64 (cbrt.f64 (/.f64 256/707281 (pow.f64 (-.f64 (.f64 841/108 x) 4/29) 2))) (cbrt.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))))
(.f64 (/.f64 1 (-.f64 (.f64 841/108 x) 4/29)) 16/841)
(.f64 -16/841 (/.f64 -1 (-.f64 (.f64 841/108 x) 4/29)))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 841/108 x) 4/29))) (/.f64 16/841 (sqrt.f64 (-.f64 (*.f64 841/108 x) 4/29))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (.f64 841/108 x) 4/29)) 2)) (/.f64 16/841 (cbrt.f64 (-.f64 (*.f64 841/108 x) 4/29))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 841/108 x) 2) -16/841)) (*.f64 16/841 (fma.f64 x 841/108 4/29)))
(.f64 (/.f64 1 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (.f64 16/841 (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (*.f64 841/108 x) 2)))))
(.f64 (/.f64 16/841 (+.f64 (pow.f64 (.f64 841/108 x) 2) -16/841)) (fma.f64 x 841/108 4/29))
(.f64 (/.f64 16/841 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (.f64 841/108 x) 2))))
(.f64 (/.f64 16/841 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (+.f64 (pow.f64 (.f64 841/108 x) 2) (-.f64 16/841 (.f64 (*.f64 841/108 x) -4/29))))
(.f64 (/.f64 -1 (-.f64 (.f64 841/108 x) 4/29)) -16/841)
(.f64 (/.f64 16/841 (neg.f64 (+.f64 (pow.f64 (.f64 841/108 x) 2) -16/841))) (neg.f64 (fma.f64 x 841/108 4/29)))
(.f64 (/.f64 16/841 (neg.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (neg.f64 (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (.f64 841/108 x) 2)))))
(.f64 (/.f64 -16/841 (neg.f64 (+.f64 (pow.f64 (.f64 841/108 x) 2) -16/841))) (fma.f64 x 841/108 4/29))
(.f64 (/.f64 -16/841 (neg.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (.f64 841/108 x) 2))))
(.f64 (/.f64 (/.f64 16/841 (sqrt.f64 (-.f64 (.f64 841/108 x) 4/29))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841))) (sqrt.f64 (fma.f64 x 841/108 4/29)))
(.f64 (/.f64 (/.f64 16/841 (sqrt.f64 (-.f64 (.f64 841/108 x) 4/29))) (sqrt.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (sqrt.f64 (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (*.f64 841/108 x) 2)))))
(.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (-.f64 (.f64 841/108 x) 4/29)) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841))) (cbrt.f64 (fma.f64 x 841/108 4/29)))
(.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (-.f64 (.f64 841/108 x) 4/29)) 2)) (cbrt.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (cbrt.f64 (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (*.f64 841/108 x) 2)))))
(pow.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29)) 1)
(pow.f64 (/.f64 4/29 (sqrt.f64 (-.f64 (*.f64 841/108 x) 4/29))) 2)
(pow.f64 (cbrt.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))) 3)
(pow.f64 (pow.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29)) 3) 1/3)
(pow.f64 (-.f64 (/.f64 x 1728/707281) 29/4) -1)
(sqrt.f64 (/.f64 256/707281 (pow.f64 (-.f64 (*.f64 841/108 x) 4/29) 2)))
(log.f64 (exp.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29)))))
(cbrt.f64 (pow.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29)) 3))
(expm1.f64 (log1p.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))))
(exp.f64 (log.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))))
(exp.f64 (.f64 (log.f64 (/.f64 16/841 (-.f64 (.f64 841/108 x) 4/29))) 1))
(log1p.f64 (expm1.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 707281/11664))) 1)
(pow.f64 (*.f64 x 707281/11664) 1)
(pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 3)
(pow.f64 (pow.f64 (*.f64 x 707281/11664) 3) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 500246412961/136048896))
(log.f64 (pow.f64 (exp.f64 x) 707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 707281/11664))))
(cbrt.f64 (pow.f64 (*.f64 x 707281/11664) 3))
(expm1.f64 (log1p.f64 (*.f64 x 707281/11664)))
(exp.f64 (log.f64 (*.f64 x 707281/11664)))
(exp.f64 (.f64 (log.f64 (.f64 x 707281/11664)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 707281/11664)))

Outputs
(*.f64 -20511149/46656 x)
(+.f64 (.f64 -500246412961/20155392 (pow.f64 x 2)) (.f64 -20511149/46656 x))
(fma.f64 -500246412961/20155392 (.f64 x x) (.f64 -20511149/46656 x))
(fma.f64 -20511149/46656 x (.f64 x (.f64 x -500246412961/20155392)))
(.f64 x (+.f64 -20511149/46656 (.f64 x -500246412961/20155392)))
(+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (.f64 -500246412961/20155392 (pow.f64 x 2)) (*.f64 -20511149/46656 x)))
(fma.f64 -12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 -500246412961/20155392 (.f64 x x) (.f64 -20511149/46656 x)))
(fma.f64 -12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 -20511149/46656 x (.f64 x (.f64 x -500246412961/20155392))))
(fma.f64 -12200509765705829/8707129344 (pow.f64 x 3) (.f64 x (+.f64 -20511149/46656 (.f64 x -500246412961/20155392))))
(+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (.f64 -500246412961/20155392 (pow.f64 x 2)) (+.f64 (.f64 -20511149/46656 x) (.f64 -297558232675799463481/3761479876608 (pow.f64 x 4)))))
(fma.f64 -12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 -500246412961/20155392 (.f64 x x) (fma.f64 -20511149/46656 x (.f64 -297558232675799463481/3761479876608 (pow.f64 x 4)))))
841/108
(+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))
(+.f64 841/108 (/.f64 4/29 x))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (.f64 4/29 (/.f64 1 x))))
(+.f64 (+.f64 841/108 (/.f64 4/29 x)) (/.f64 1728/707281 (*.f64 x x)))
(+.f64 (/.f64 4/29 x) (+.f64 841/108 (/.f64 1728/707281 (*.f64 x x))))
(+.f64 841/108 (+.f64 (/.f64 4/29 x) (/.f64 1728/707281 (*.f64 x x))))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x)))))
(+.f64 (+.f64 (/.f64 1728/707281 (*.f64 x x)) 841/108) (+.f64 (/.f64 4/29 x) (/.f64 746496/17249876309 (pow.f64 x 3))))
(+.f64 841/108 (+.f64 (+.f64 (/.f64 4/29 x) (/.f64 746496/17249876309 (pow.f64 x 3))) (/.f64 1728/707281 (*.f64 x x))))
(+.f64 (+.f64 841/108 (+.f64 (/.f64 4/29 x) (/.f64 1728/707281 (*.f64 x x)))) (/.f64 746496/17249876309 (pow.f64 x 3)))
841/108
(+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))
(+.f64 841/108 (/.f64 4/29 x))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (.f64 4/29 (/.f64 1 x))))
(+.f64 (+.f64 841/108 (/.f64 4/29 x)) (/.f64 1728/707281 (*.f64 x x)))
(+.f64 (/.f64 4/29 x) (+.f64 841/108 (/.f64 1728/707281 (*.f64 x x))))
(+.f64 841/108 (+.f64 (/.f64 4/29 x) (/.f64 1728/707281 (*.f64 x x))))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x)))))
(+.f64 (+.f64 (/.f64 1728/707281 (*.f64 x x)) 841/108) (+.f64 (/.f64 4/29 x) (/.f64 746496/17249876309 (pow.f64 x 3))))
(+.f64 841/108 (+.f64 (+.f64 (/.f64 4/29 x) (/.f64 746496/17249876309 (pow.f64 x 3))) (/.f64 1728/707281 (*.f64 x x))))
(+.f64 (+.f64 841/108 (+.f64 (/.f64 4/29 x) (/.f64 1728/707281 (*.f64 x x)))) (/.f64 746496/17249876309 (pow.f64 x 3)))
-4/29
(-.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x -4/29)
(fma.f64 x -841/108 -4/29)
(-.f64 (+.f64 (.f64 -841/108 x) (.f64 -20511149/46656 (pow.f64 x 2))) 4/29)
(+.f64 (fma.f64 -841/108 x (.f64 -20511149/46656 (.f64 x x))) -4/29)
(fma.f64 x -841/108 (fma.f64 -20511149/46656 (*.f64 x x) -4/29))
(-.f64 (+.f64 (.f64 -841/108 x) (+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))) 4/29)
(+.f64 (fma.f64 -841/108 x (fma.f64 -20511149/46656 (.f64 x x) (.f64 -500246412961/20155392 (pow.f64 x 3)))) -4/29)
(+.f64 -4/29 (fma.f64 x -841/108 (fma.f64 -20511149/46656 (.f64 x x) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(+.f64 (.f64 x (.f64 x (+.f64 -20511149/46656 (*.f64 x -500246412961/20155392)))) (fma.f64 x -841/108 -4/29))
(/.f64 1728/707281 x)
(+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x)))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 x))
(+.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)))))
(+.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 746496/17249876309 (*.f64 x x)) (/.f64 322486272/420707233300201 (pow.f64 x 3))))
(+.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 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(/.f64 1728/707281 x)
(+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x)))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 x))
(+.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)))))
(+.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 746496/17249876309 (*.f64 x x)) (/.f64 322486272/420707233300201 (pow.f64 x 3))))
(+.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 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29)))) 1)
(*.f64 x (/.f64 707281/11664 (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 x 841/108) (+.f64 x -432/24389))
(*.f64 841/108 (/.f64 x (+.f64 x -432/24389)))
(.f64 x (/.f64 707281/11664 (-.f64 (.f64 841/108 x) 4/29)))
(*.f64 x (/.f64 707281/11664 (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 x 841/108) (+.f64 x -432/24389))
(*.f64 841/108 (/.f64 x (+.f64 x -432/24389)))
(*.f64 x (/.f64 1 (-.f64 (/.f64 x 841/108) 46656/20511149)))
(*.f64 x (/.f64 707281/11664 (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 x 841/108) (+.f64 x -432/24389))
(*.f64 841/108 (/.f64 x (+.f64 x -432/24389)))
(.f64 707281/11664 (.f64 x (/.f64 1 (-.f64 (*.f64 841/108 x) 4/29))))
(*.f64 x (/.f64 707281/11664 (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 x 841/108) (+.f64 x -432/24389))
(*.f64 841/108 (/.f64 x (+.f64 x -432/24389)))
(.f64 707281/11664 (/.f64 x (-.f64 (.f64 841/108 x) 4/29)))
(*.f64 x (/.f64 707281/11664 (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 x 841/108) (+.f64 x -432/24389))
(*.f64 841/108 (/.f64 x (+.f64 x -432/24389)))
(.f64 (.f64 x 707281/11664) (/.f64 1 (-.f64 (*.f64 841/108 x) 4/29)))
(*.f64 x (/.f64 707281/11664 (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 x 841/108) (+.f64 x -432/24389))
(*.f64 841/108 (/.f64 x (+.f64 x -432/24389)))
(.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (*.f64 841/108 x) 4/29)) 1)
(*.f64 x (/.f64 707281/11664 (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 x 841/108) (+.f64 x -432/24389))
(*.f64 841/108 (/.f64 x (+.f64 x -432/24389)))
(.f64 1 (/.f64 (.f64 x 707281/11664) (-.f64 (*.f64 841/108 x) 4/29)))
(*.f64 x (/.f64 707281/11664 (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 x 841/108) (+.f64 x -432/24389))
(*.f64 841/108 (/.f64 x (+.f64 x -432/24389)))
(.f64 (.f64 841/108 (sqrt.f64 x)) (.f64 (.f64 841/108 (sqrt.f64 x)) (/.f64 1 (-.f64 (*.f64 841/108 x) 4/29))))
(*.f64 x (/.f64 707281/11664 (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 x 841/108) (+.f64 x -432/24389))
(*.f64 841/108 (/.f64 x (+.f64 x -432/24389)))
(.f64 (sqrt.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29))) (sqrt.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (*.f64 841/108 x) 4/29))))
(*.f64 x (/.f64 707281/11664 (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 x 841/108) (+.f64 x -432/24389))
(*.f64 841/108 (/.f64 x (+.f64 x -432/24389)))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 500246412961/136048896)) (.f64 (cbrt.f64 (.f64 x 707281/11664)) (/.f64 1 (-.f64 (.f64 841/108 x) 4/29))))
(.f64 (cbrt.f64 (.f64 x (.f64 x 500246412961/136048896))) (.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (cbrt.f64 (*.f64 x 707281/11664))))
(/.f64 (cbrt.f64 (.f64 x (.f64 x 500246412961/136048896))) (/.f64 (fma.f64 x 841/108 -4/29) (cbrt.f64 (*.f64 x 707281/11664))))
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(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 x 841/108) 2) -16/841)) (*.f64 (fma.f64 x 841/108 4/29) 16/841))
(.f64 (fma.f64 x 841/108 4/29) (/.f64 -16/841 (-.f64 16/841 (.f64 x (*.f64 x 707281/11664)))))
(.f64 (fma.f64 x -841/108 -4/29) (/.f64 -16/841 (+.f64 (.f64 x (*.f64 x 707281/11664)) -16/841)))
(.f64 (/.f64 -16/841 (neg.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (.f64 841/108 x) 2))))
(.f64 (/.f64 1 (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)) (.f64 16/841 (fma.f64 x 29/27 (+.f64 (pow.f64 (*.f64 x 841/108) 2) 16/841))))
(/.f64 (.f64 16/841 (+.f64 (.f64 x (*.f64 x 707281/11664)) (fma.f64 x 29/27 16/841))) (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389))
(.f64 -16/841 (/.f64 (-.f64 -16/841 (.f64 x (+.f64 (*.f64 x 707281/11664) 29/27))) (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)))
(.f64 (/.f64 (/.f64 16/841 (sqrt.f64 (-.f64 (.f64 841/108 x) 4/29))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841))) (sqrt.f64 (fma.f64 x 841/108 4/29)))
(/.f64 (.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 841/108 x -4/29))) (sqrt.f64 (fma.f64 x 841/108 4/29))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x 841/108) 2) -16/841)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) (/.f64 16/841 (sqrt.f64 (fma.f64 x 841/108 -4/29)))) (sqrt.f64 (+.f64 (.f64 x (*.f64 x 707281/11664)) -16/841)))
(.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) (/.f64 16/841 (.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (sqrt.f64 (+.f64 (.f64 x (.f64 x 707281/11664)) -16/841)))))
(.f64 (/.f64 (/.f64 16/841 (sqrt.f64 (-.f64 (.f64 841/108 x) 4/29))) (sqrt.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (sqrt.f64 (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (*.f64 841/108 x) 2)))))
(.f64 (sqrt.f64 (fma.f64 x 29/27 (+.f64 (pow.f64 (.f64 x 841/108) 2) 16/841))) (/.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 841/108 x -4/29))) (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389))))
(.f64 (sqrt.f64 (+.f64 (.f64 x (*.f64 x 707281/11664)) (fma.f64 x 29/27 16/841))) (/.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 x 841/108 -4/29))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389))))
(.f64 (sqrt.f64 (+.f64 16/841 (.f64 x (+.f64 (.f64 x 707281/11664) 29/27)))) (/.f64 16/841 (.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)))))
(.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (-.f64 (.f64 841/108 x) 4/29)) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841))) (cbrt.f64 (fma.f64 x 841/108 4/29)))
(.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) (/.f64 16/841 (.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 2) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2))))
(.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) (/.f64 16/841 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (cbrt.f64 (+.f64 (.f64 x (.f64 x 707281/11664)) -16/841)))))
(/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 (cbrt.f64 (+.f64 (.f64 x (.f64 x 707281/11664)) -16/841)) (cbrt.f64 (fma.f64 x 841/108 4/29))))
(.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (-.f64 (.f64 841/108 x) 4/29)) 2)) (cbrt.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (cbrt.f64 (+.f64 (.f64 x 29/27) (+.f64 16/841 (pow.f64 (*.f64 841/108 x) 2)))))
(/.f64 (.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2)) (cbrt.f64 (fma.f64 x 29/27 (+.f64 (pow.f64 (.f64 x 841/108) 2) 16/841)))) (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)))
(.f64 (cbrt.f64 (+.f64 (.f64 x (*.f64 x 707281/11664)) (fma.f64 x 29/27 16/841))) (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389))))
(.f64 (cbrt.f64 (+.f64 16/841 (.f64 x (+.f64 (*.f64 x 707281/11664) 29/27)))) (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389))))
(pow.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29)) 1)
(/.f64 16/841 (fma.f64 841/108 x -4/29))
(/.f64 16/841 (fma.f64 x 841/108 -4/29))
(pow.f64 (/.f64 4/29 (sqrt.f64 (-.f64 (*.f64 841/108 x) 4/29))) 2)
(pow.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 841/108 x -4/29))) 2)
(pow.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x 841/108 -4/29))) 2)
(pow.f64 (cbrt.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))) 3)
(/.f64 16/841 (fma.f64 841/108 x -4/29))
(/.f64 16/841 (fma.f64 x 841/108 -4/29))
(pow.f64 (pow.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29)) 3) 1/3)
(/.f64 16/841 (fma.f64 841/108 x -4/29))
(/.f64 16/841 (fma.f64 x 841/108 -4/29))
(pow.f64 (-.f64 (/.f64 x 1728/707281) 29/4) -1)
(/.f64 1 (+.f64 (/.f64 x 1728/707281) -29/4))
(sqrt.f64 (/.f64 256/707281 (pow.f64 (-.f64 (*.f64 841/108 x) 4/29) 2)))
(sqrt.f64 (/.f64 256/707281 (pow.f64 (fma.f64 841/108 x -4/29) 2)))
(sqrt.f64 (/.f64 256/707281 (pow.f64 (fma.f64 x 841/108 -4/29) 2)))
(log.f64 (exp.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))))
(/.f64 16/841 (fma.f64 841/108 x -4/29))
(/.f64 16/841 (fma.f64 x 841/108 -4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29)))))
(/.f64 16/841 (fma.f64 841/108 x -4/29))
(/.f64 16/841 (fma.f64 x 841/108 -4/29))
(cbrt.f64 (pow.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29)) 3))
(/.f64 16/841 (fma.f64 841/108 x -4/29))
(/.f64 16/841 (fma.f64 x 841/108 -4/29))
(expm1.f64 (log1p.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))))
(/.f64 16/841 (fma.f64 841/108 x -4/29))
(/.f64 16/841 (fma.f64 x 841/108 -4/29))
(exp.f64 (log.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))))
(/.f64 16/841 (fma.f64 841/108 x -4/29))
(/.f64 16/841 (fma.f64 x 841/108 -4/29))
(exp.f64 (.f64 (log.f64 (/.f64 16/841 (-.f64 (.f64 841/108 x) 4/29))) 1))
(/.f64 16/841 (fma.f64 841/108 x -4/29))
(/.f64 16/841 (fma.f64 x 841/108 -4/29))
(log1p.f64 (expm1.f64 (/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))))
(/.f64 16/841 (fma.f64 841/108 x -4/29))
(/.f64 16/841 (fma.f64 x 841/108 -4/29))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 707281/11664))) 1)
(*.f64 x 707281/11664)
(pow.f64 (*.f64 x 707281/11664) 1)
(*.f64 x 707281/11664)
(pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2)
(*.f64 x 707281/11664)
(pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 3)
(*.f64 x 707281/11664)
(pow.f64 (pow.f64 (*.f64 x 707281/11664) 3) 1/3)
(*.f64 x 707281/11664)
(sqrt.f64 (.f64 (.f64 x x) 500246412961/136048896))
(sqrt.f64 (.f64 x (.f64 x 500246412961/136048896)))
(log.f64 (pow.f64 (exp.f64 x) 707281/11664))
(*.f64 x 707281/11664)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 707281/11664))))
(*.f64 x 707281/11664)
(cbrt.f64 (pow.f64 (*.f64 x 707281/11664) 3))
(*.f64 x 707281/11664)
(expm1.f64 (log1p.f64 (*.f64 x 707281/11664)))
(*.f64 x 707281/11664)
(exp.f64 (log.f64 (*.f64 x 707281/11664)))
(*.f64 x 707281/11664)
(exp.f64 (.f64 (log.f64 (.f64 x 707281/11664)) 1))
(*.f64 x 707281/11664)
(log1p.f64 (expm1.f64 (*.f64 x 707281/11664)))
(*.f64 x 707281/11664)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite103.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

948×	`unswap-sqr`
876×	`*-commutative`
584×	`associate-*r/`
556×	`associate--r+`
498×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	706
1	225	592
2	1040	472
3	5042	472

Stop Event

1×	node limit

Counts

58 → 54

Calls

Call 1

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

localize12.0ms (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 x -841/108)
	0.2b	(.f64 -707281/11664 (.f64 x x))
✓	14.9b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (*.f64 x -841/108))

Compiler

Compiled 34 to 20 computations (41.2% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite88.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1424×	`associate-*r/`
1322×	`associate-/r*`
1098×	`associate-/l*`
1096×	`*-commutative`
1064×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	244	49
2	3189	49

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

Outputs

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simplify99.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1646×	`distribute-rgt-in`
1646×	`distribute-lft-in`
1354×	`associate-/r/`
416×	`associate-r`
396×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	327	5771
1	831	4863
2	3996	4863

Stop Event

1×	node limit

Counts

169 → 189

Calls

Call 1

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

Outputs
(/.f64 -1728/707281 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (*.f64 x -841/108)))) 1)
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (.f64 x -841/108)) 1)
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 1 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (sqrt.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (.f64 x -841/108))) (sqrt.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (*.f64 x -841/108))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (sqrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (.f64 (sqrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (/.f64 -108/841 x)))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (.f64 x -841/108))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (*.f64 x -841/108))) 2))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (.f64 x -841/108))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) 2) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2)) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2))
(.f64 (cbrt.f64 (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (.f64 x -841/108))) 2) (cbrt.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (*.f64 x -841/108))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) 2) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (/.f64 -108/841 x)))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) x) -108/841)
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (/.f64 -108/841 x) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (neg.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))) (/.f64 108/841 x))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (.f64 (sqrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (/.f64 -108/841 x)) (sqrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (.f64 (sqrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (/.f64 -108/841 x)) (/.f64 (sqrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) 1))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (.f64 (cbrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (/.f64 -108/841 x)) (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) 2))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (.f64 (cbrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (/.f64 -108/841 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) 2) 1))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (/.f64 1 x) (/.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) -841/108))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 -108/841 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) x))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x -841/108))) (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (sqrt.f64 (*.f64 x -841/108))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (cbrt.f64 (*.f64 x -841/108))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x))) -841/108) (/.f64 1 x))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (sqrt.f64 (.f64 x -841/108))) (/.f64 1 (sqrt.f64 (*.f64 x -841/108))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (cbrt.f64 (.f64 x -841/108))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (/.f64 108/841 x) (neg.f64 (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
(.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) 1) (.f64 (sqrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (/.f64 -108/841 x)))
(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -108/841 x))
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(/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (.f64 x -841/108))
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(/.f64 (/.f64 (+.f64 16777216/353814783205469041 (.f64 (pow.f64 (.f64 x x) 6) -125184900814733057351483732809459681/2518170116818978404827136)) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729)))) (+.f64 4096/594823321 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944)))
(/.f64 (+.f64 16777216/353814783205469041 (.f64 (pow.f64 (.f64 x x) 6) -125184900814733057351483732809459681/2518170116818978404827136)) (.f64 (+.f64 4096/594823321 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944)) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729)))))
(/.f64 (.f64 (+.f64 68719476736/210457284365172120330305161 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) 3)) (/.f64 1 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729)))) (-.f64 (+.f64 16777216/353814783205469041 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))))
(/.f64 (+.f64 68719476736/210457284365172120330305161 (.f64 (pow.f64 (pow.f64 (.f64 x x) 3) 3) -44292268542362921407825091617016319887724139383235921/3996019499184929743169818581358608384)) (/.f64 (+.f64 16777216/353814783205469041 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 125184900814733057351483732809459681/2518170116818978404827136) (.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))) (/.f64 1 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 x (.f64 x -841/729)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) -44292268542362921407825091617016319887724139383235921/3996019499184929743169818581358608384 68719476736/210457284365172120330305161) (.f64 (+.f64 16777216/353814783205469041 (fma.f64 (pow.f64 (.f64 x x) 6) 125184900814733057351483732809459681/2518170116818978404827136 (.f64 594823321/387420489 (pow.f64 x 6)))) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (*.f64 x x) 841/729)))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664)))
(-.f64 (/.f64 256/707281 (+.f64 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 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 -707281/11664 (*.f64 x x) -16/841))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(-.f64 (/.f64 256/707281 (+.f64 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 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 -707281/11664 (*.f64 x x) -16/841))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))
(-.f64 (/.f64 256/707281 (+.f64 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 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 -707281/11664 (*.f64 x x) -16/841))
(/.f64 (/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) 1) (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (*.f64 x x) -841/729)))
(/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 x (*.f64 x -841/729)))))
(/.f64 (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 (/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (sqrt.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729)))) (sqrt.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729))))
(/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 x (*.f64 x -841/729)))))
(/.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 (/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (.f64 (cbrt.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729))) (cbrt.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729))))) (cbrt.f64 (-.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (.f64 x x) -841/729))))
(/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 x (*.f64 x -841/729)))))
(/.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))))
(pow.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) 1)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (sqrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) 2)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (cbrt.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) 3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (pow.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) 3) 1/3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(sqrt.f64 (pow.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) 2))
(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 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(cbrt.f64 (pow.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) 3))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(expm1.f64 (log1p.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(exp.f64 (log.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(log1p.f64 (expm1.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 1 (.f64 -707281/11664 (.f64 x x)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (.f64 x (sqrt.f64 -707281/11664)) (.f64 x (sqrt.f64 -707281/11664)) 16/841)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (.f64 -707281/11664 (*.f64 x x))) 16/841)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (.f64 x (*.f64 x -707281/11664))) 16/841)
(fma.f64 (*.f64 -707281/11664 x) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)

localize55.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 -707281/11664 (.f64 x x))
✓	2.8b	(.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))
✓	14.6b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
✓	21.1b	(/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664)))

Compiler

Compiled 162 to 102 computations (37% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664)))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664)))
0.0ms	x	@	0	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
0.0ms	x	@	-inf	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))

rewrite91.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`add-sqr-sqrt`
502×	`pow1`
502×	`*-un-lft-identity`
496×	`add-exp-log`
496×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	177
1	533	59

Stop Event

1×	node limit

Counts

3 → 204

Calls

Call 1

Inputs

(/.f64 (*.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 (*.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))

(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (*.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 (*.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))

(*.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 (*.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))) (*.f64 (*.f64 x x) 707281/11664)) (*.f64 (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))) 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))) 16/841) (*.f64 (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))) (*.f64 (*.f64 x x) 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) (*.f64 16/841 (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 16/841 (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) (*.f64 (*.f64 (*.f64 x x) 707281/11664) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 4/29 (*.f64 x -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 4/29 (/.f64 (*.f64 x -841/108) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 4/29 (*.f64 x -841/108)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (-.f64 4/29 (*.f64 x -841/108))) (/.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 4/29 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 64/24389 (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))) (/.f64 (*.f64 -594823321/1259712 (pow.f64 x 3)) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 256/707281 (*.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 (*.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 (*.f64 x x) 707281/11664)) (*.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 (*.f64 x x) 707281/11664))) (/.f64 1 (-.f64 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simplify106.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1220×	`times-frac`
994×	`associate-/r*`
842×	`associate-/l*`
734×	`associate-r`
614×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	457	11402
1	1372	9086

Stop Event

1×	node limit

Counts

240 → 305

Calls

Call 1

Inputs
4/29
(+.f64 (*.f64 -841/108 x) 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(*.f64 -841/108 x)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(*.f64 -841/108 x)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
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))
64/24389
(+.f64 (*.f64 -4/27 x) 64/24389)
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (+.f64 (.f64 -4/27 x) 64/24389))
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (+.f64 (.f64 -4/27 x) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))))
(*.f64 -594823321/1259712 (pow.f64 x 3))
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (.f64 -594823321/1259712 (pow.f64 x 3)))
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (+.f64 (.f64 -4/27 x) (*.f64 -594823321/1259712 (pow.f64 x 3))))
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (+.f64 64/24389 (+.f64 (.f64 -4/27 x) (*.f64 -594823321/1259712 (pow.f64 x 3)))))
(*.f64 -594823321/1259712 (pow.f64 x 3))
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (.f64 -594823321/1259712 (pow.f64 x 3)))
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (+.f64 (.f64 -4/27 x) (*.f64 -594823321/1259712 (pow.f64 x 3))))
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (+.f64 64/24389 (+.f64 (.f64 -4/27 x) (*.f64 -594823321/1259712 (pow.f64 x 3)))))
(+.f64 4/29 (*.f64 x -841/108))
(+.f64 (*.f64 x -841/108) 4/29)
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(-.f64 4/29 (*.f64 x -841/108))
(-.f64 4/29 (/.f64 (*.f64 x -841/108) 1))
(-.f64 (exp.f64 (log1p.f64 (-.f64 4/29 (*.f64 x -841/108)))) 1)
(-.f64 (/.f64 16/841 (-.f64 4/29 (.f64 x -841/108))) (/.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 4/29 (.f64 x -841/108))))
(-.f64 (/.f64 64/24389 (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x))) (/.f64 (.f64 -594823321/1259712 (pow.f64 x 3)) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (*.f64 -29/27 x))))
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(.f64 (-.f64 4/29 (.f64 x -841/108)) 1)
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(.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) 16/841)) (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))))
(.f64 (-.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 -29/27 x))))
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(.f64 (/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) 1) (/.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) (fma.f64 x (.f64 x 707281/11664) 16/841)))
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(+.f64 (.f64 256/707281 (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))))) 1)
(-.f64 (/.f64 256/707281 (-.f64 4/29 (.f64 x -841/108))) (/.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (-.f64 4/29 (.f64 x -841/108)))
(/.f64 1 (/.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) (fma.f64 x (.f64 x 707281/11664) 16/841)))
(/.f64 1 (/.f64 (-.f64 4/29 (.f64 x -841/108)) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)))))
(/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (/.f64 1 (-.f64 4/29 (.f64 x -841/108))))
(/.f64 (sqrt.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)))) (/.f64 (-.f64 4/29 (.f64 x -841/108)) (sqrt.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (*.f64 x x) 707281/11664))))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) (/.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)))) 2) (/.f64 (-.f64 4/29 (.f64 x -841/108)) (cbrt.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (*.f64 x x) 707281/11664))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) 2) (/.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841))))
(/.f64 (+.f64 65536/500246412961 (pow.f64 (.f64 (.f64 x x) 707281/11664) 4)) (.f64 (-.f64 4/29 (.f64 x -841/108)) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (*.f64 x x) 707281/11664)))))
(/.f64 (+.f64 4096/594823321 (pow.f64 (.f64 (.f64 x x) 707281/11664) 3)) (.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) (-.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (.f64 -841/729 (*.f64 x x)))))
(/.f64 (-.f64 16777216/353814783205469041 (.f64 (pow.f64 (pow.f64 x 4) 3) 125184900814733057351483732809459681/2518170116818978404827136)) (.f64 (-.f64 4/29 (.f64 x -841/108)) (+.f64 65536/500246412961 (.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)))))))
(/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (neg.f64 (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) -1) (+.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) (+.f64 65536/500246412961 (pow.f64 (.f64 (.f64 x x) 707281/11664) 4))) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) (-.f64 16777216/353814783205469041 (.f64 (pow.f64 (pow.f64 x 4) 3) 125184900814733057351483732809459681/2518170116818978404827136))) (+.f64 65536/500246412961 (.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))))))
(/.f64 (.f64 (+.f64 65536/500246412961 (pow.f64 (.f64 (.f64 x x) 707281/11664) 4)) 1) (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (-.f64 4/29 (.f64 x -841/108))))
(/.f64 (.f64 (-.f64 16777216/353814783205469041 (.f64 (pow.f64 (pow.f64 x 4) 3) 125184900814733057351483732809459681/2518170116818978404827136)) 1) (.f64 (+.f64 65536/500246412961 (.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))))) (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (.f64 (+.f64 65536/500246412961 (pow.f64 (.f64 (.f64 x x) 707281/11664) 4)) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (.f64 (-.f64 16777216/353814783205469041 (.f64 (pow.f64 (pow.f64 x 4) 3) 125184900814733057351483732809459681/2518170116818978404827136)) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (+.f64 65536/500246412961 (.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))))))
(/.f64 (.f64 -1 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)))) (+.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) 1) (/.f64 1 (-.f64 4/29 (.f64 x -841/108))))
(/.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (pow.f64 (-.f64 4/29 (.f64 x -841/108)) -1/2)) (pow.f64 (-.f64 4/29 (*.f64 x -841/108)) -1/2))
(/.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (cbrt.f64 (pow.f64 (-.f64 4/29 (.f64 x -841/108)) -2))) (/.f64 1 (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) 1) (-.f64 4/29 (.f64 x -841/108)))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (sqrt.f64 (-.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (pow.f64 (cbrt.f64 (-.f64 4/29 (.f64 x -841/108))) 2)) (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (neg.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)))) (+.f64 -4/29 (.f64 x -841/108)))
(/.f64 (.f64 (+.f64 65536/500246412961 (pow.f64 (.f64 (.f64 x x) 707281/11664) 4)) -1) (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (+.f64 -4/29 (.f64 x -841/108))))
(/.f64 (.f64 (-.f64 16777216/353814783205469041 (.f64 (pow.f64 (pow.f64 x 4) 3) 125184900814733057351483732809459681/2518170116818978404827136)) -1) (.f64 (+.f64 65536/500246412961 (.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))))) (+.f64 -4/29 (*.f64 x -841/108))))
(/.f64 (.f64 -1 (+.f64 65536/500246412961 (pow.f64 (.f64 (.f64 x x) 707281/11664) 4))) (.f64 (+.f64 -4/29 (.f64 x -841/108)) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)))))
(/.f64 (.f64 -1 (-.f64 16777216/353814783205469041 (.f64 (pow.f64 (pow.f64 x 4) 3) 125184900814733057351483732809459681/2518170116818978404827136))) (.f64 (+.f64 -4/29 (.f64 x -841/108)) (+.f64 65536/500246412961 (.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (*.f64 x x) 707281/11664)))))))
(pow.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) 1)
(pow.f64 (sqrt.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))) 2)
(pow.f64 (cbrt.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))) 3)
(pow.f64 (pow.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) 2))
(log.f64 (exp.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))))))
(cbrt.f64 (pow.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) 3))
(cbrt.f64 (.f64 (pow.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) 3) (pow.f64 (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) 3) (pow.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (*.f64 x x) 707281/11664))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) 3) (pow.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) 3) (pow.f64 (-.f64 4/29 (.f64 x -841/108)) 3)))
(expm1.f64 (log1p.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))))
(exp.f64 (log.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))))
(exp.f64 (-.f64 (log.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) (neg.f64 (log.f64 (-.f64 4/29 (.f64 x -841/108))))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x -841/108))))) 1))
(log1p.f64 (expm1.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))))

Outputs
4/29
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x 4/29)
(*.f64 -841/108 x)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 -841/108 x 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 -841/108 x 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 -841/108 x 4/29)
(*.f64 -841/108 x)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 -841/108 x 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 -841/108 x 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 -841/108 x 4/29)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
64/24389
(+.f64 (*.f64 -4/27 x) 64/24389)
(fma.f64 -4/27 x 64/24389)
(fma.f64 x -4/27 64/24389)
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (+.f64 (.f64 -4/27 x) 64/24389))
(fma.f64 24389/2916 (*.f64 x x) (fma.f64 -4/27 x 64/24389))
(fma.f64 24389/2916 (*.f64 x x) (fma.f64 x -4/27 64/24389))
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (+.f64 (.f64 -4/27 x) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))))
(fma.f64 24389/2916 (.f64 x x) (+.f64 64/24389 (fma.f64 -4/27 x (.f64 -594823321/1259712 (pow.f64 x 3)))))
(fma.f64 24389/2916 (*.f64 x x) (fma.f64 x -4/27 (fma.f64 -594823321/1259712 (pow.f64 x 3) 64/24389)))
(*.f64 -594823321/1259712 (pow.f64 x 3))
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (.f64 -594823321/1259712 (pow.f64 x 3)))
(fma.f64 24389/2916 (.f64 x x) (.f64 -594823321/1259712 (pow.f64 x 3)))
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (+.f64 (.f64 -4/27 x) (*.f64 -594823321/1259712 (pow.f64 x 3))))
(fma.f64 24389/2916 (.f64 x x) (fma.f64 -4/27 x (.f64 -594823321/1259712 (pow.f64 x 3))))
(fma.f64 24389/2916 (.f64 x x) (fma.f64 x -4/27 (.f64 -594823321/1259712 (pow.f64 x 3))))
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (+.f64 64/24389 (+.f64 (.f64 -4/27 x) (*.f64 -594823321/1259712 (pow.f64 x 3)))))
(fma.f64 24389/2916 (.f64 x x) (+.f64 64/24389 (fma.f64 -4/27 x (.f64 -594823321/1259712 (pow.f64 x 3)))))
(fma.f64 24389/2916 (*.f64 x x) (fma.f64 x -4/27 (fma.f64 -594823321/1259712 (pow.f64 x 3) 64/24389)))
(*.f64 -594823321/1259712 (pow.f64 x 3))
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (.f64 -594823321/1259712 (pow.f64 x 3)))
(fma.f64 24389/2916 (.f64 x x) (.f64 -594823321/1259712 (pow.f64 x 3)))
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (+.f64 (.f64 -4/27 x) (*.f64 -594823321/1259712 (pow.f64 x 3))))
(fma.f64 24389/2916 (.f64 x x) (fma.f64 -4/27 x (.f64 -594823321/1259712 (pow.f64 x 3))))
(fma.f64 24389/2916 (.f64 x x) (fma.f64 x -4/27 (.f64 -594823321/1259712 (pow.f64 x 3))))
(+.f64 (.f64 24389/2916 (pow.f64 x 2)) (+.f64 64/24389 (+.f64 (.f64 -4/27 x) (*.f64 -594823321/1259712 (pow.f64 x 3)))))
(fma.f64 24389/2916 (.f64 x x) (+.f64 64/24389 (fma.f64 -4/27 x (.f64 -594823321/1259712 (pow.f64 x 3)))))
(fma.f64 24389/2916 (*.f64 x x) (fma.f64 x -4/27 (fma.f64 -594823321/1259712 (pow.f64 x 3) 64/24389)))
(+.f64 4/29 (*.f64 x -841/108))
(fma.f64 -841/108 x 4/29)
(+.f64 (*.f64 x -841/108) 4/29)
(fma.f64 -841/108 x 4/29)
(+.f64 (.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) (.f64 (.f64 x x) 707281/11664)) (.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) 16/841))
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (fma.f64 x 841/108 4/29))
(+.f64 (.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) 16/841) (.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) (.f64 (.f64 x x) 707281/11664)))
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (fma.f64 x 841/108 4/29))
(+.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (.f64 16/841 (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))))
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (fma.f64 x 841/108 4/29))
(+.f64 (.f64 16/841 (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (.f64 (.f64 (.f64 x x) 707281/11664) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))))
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (fma.f64 x 841/108 4/29))
(-.f64 4/29 (*.f64 x -841/108))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(-.f64 4/29 (/.f64 (*.f64 x -841/108) 1))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(-.f64 (exp.f64 (log1p.f64 (-.f64 4/29 (*.f64 x -841/108)))) 1)
(+.f64 4/29 (*.f64 x 841/108))
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(/.f64 (/.f64 (neg.f64 (-.f64 16777216/353814783205469041 (.f64 (pow.f64 (pow.f64 x 4) 3) 125184900814733057351483732809459681/2518170116818978404827136))) (+.f64 (.f64 -841/108 x) -4/29)) (+.f64 65536/500246412961 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (neg.f64 (+.f64 16777216/353814783205469041 (.f64 (pow.f64 (pow.f64 x 4) 3) -125184900814733057351483732809459681/2518170116818978404827136))) (.f64 (fma.f64 -841/108 x -4/29) (fma.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) 65536/500246412961)))
(/.f64 (.f64 -1 (+.f64 65536/500246412961 (pow.f64 (.f64 (.f64 x x) 707281/11664) 4))) (.f64 (+.f64 -4/29 (.f64 x -841/108)) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)))))
(/.f64 (neg.f64 (+.f64 65536/500246412961 (pow.f64 (.f64 x (.f64 x 707281/11664)) 4))) (.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (+.f64 (*.f64 -841/108 x) -4/29)))
(/.f64 (+.f64 -65536/500246412961 (neg.f64 (pow.f64 (.f64 x (.f64 x 707281/11664)) 4))) (.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 -841/108 x -4/29)))
(/.f64 (.f64 -1 (-.f64 16777216/353814783205469041 (.f64 (pow.f64 (pow.f64 x 4) 3) 125184900814733057351483732809459681/2518170116818978404827136))) (.f64 (+.f64 -4/29 (.f64 x -841/108)) (+.f64 65536/500246412961 (.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (*.f64 x x) 707281/11664)))))))
(/.f64 (/.f64 (neg.f64 (-.f64 16777216/353814783205469041 (.f64 (pow.f64 (pow.f64 x 4) 3) 125184900814733057351483732809459681/2518170116818978404827136))) (+.f64 (.f64 -841/108 x) -4/29)) (+.f64 65536/500246412961 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (neg.f64 (+.f64 16777216/353814783205469041 (.f64 (pow.f64 (pow.f64 x 4) 3) -125184900814733057351483732809459681/2518170116818978404827136))) (.f64 (fma.f64 -841/108 x -4/29) (fma.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) 65536/500246412961)))
(pow.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) 1)
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x 841/108 4/29))
(pow.f64 (sqrt.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))) 2)
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x 841/108 4/29))
(pow.f64 (cbrt.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))) 3)
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x 841/108 4/29))
(pow.f64 (pow.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) 3) 1/3)
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x 841/108 4/29))
(sqrt.f64 (pow.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) 2))
(fabs.f64 (/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x 841/108 4/29)))
(log.f64 (exp.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))))
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x 841/108 4/29))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))))))
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x 841/108 4/29))
(cbrt.f64 (pow.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) 3))
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x 841/108 4/29))
(cbrt.f64 (.f64 (pow.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) 3) (pow.f64 (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))) 3)))
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x 841/108 4/29))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) 3) (pow.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (*.f64 x x) 707281/11664))) 3)))
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x 841/108 4/29))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) 3) (pow.f64 (/.f64 1 (-.f64 4/29 (.f64 x -841/108))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) 3) (/.f64 1 (pow.f64 (-.f64 4/29 (.f64 -841/108 x)) 3))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) 3) (pow.f64 (fma.f64 x 841/108 4/29) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) 3) (pow.f64 (-.f64 4/29 (.f64 x -841/108)) 3)))
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x 841/108 4/29))
(expm1.f64 (log1p.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))))
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x 841/108 4/29))
(exp.f64 (log.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))))
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x 841/108 4/29))
(exp.f64 (-.f64 (log.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) (neg.f64 (log.f64 (-.f64 4/29 (.f64 x -841/108))))))
(.f64 (/.f64 1 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x)))) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(.f64 (fma.f64 x 841/108 4/29) (fma.f64 x (.f64 x 707281/11664) 16/841))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x -841/108))))) 1))
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x 841/108 4/29))
(log1p.f64 (expm1.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))))
(.f64 (/.f64 1 (-.f64 4/29 (.f64 -841/108 x))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x 841/108 4/29))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
✓	0.4b	(*.f64 108/841 (/.f64 1 x))
✓	0.5b	(*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))
✓	0.7b	(/.f64 1 (pow.f64 x 2))

Compiler

Compiled 57 to 47 computations (17.5% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))
0.0ms	x	@	0	(*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))
0.0ms	x	@	0	(/.f64 1 (-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
0.0ms	x	@	0	(/.f64 1 (pow.f64 x 2))
0.0ms	x	@	inf	(/.f64 1 (-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))

rewrite95.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`associate-/r*`
766×	`distribute-rgt-in`
712×	`distribute-lft-in`
524×	`associate-/l*`
480×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	320	58
2	3955	58

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 x 2))
(*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))
(*.f64 108/841 (/.f64 1 x))
(/.f64 1 (-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (pow.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) (.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (/.f64 1 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (/.f64 1 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 1 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 -2 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 x 2))))))))
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simplify119.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

646×	`associate-+r+`
608×	`+-commutative`
536×	`associate--r+`
534×	`associate-+l+`
524×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	510	6822
1	1391	6012
2	5285	5896

Stop Event

1×	node limit

Counts

216 → 283

Calls

Call 1

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

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

eval687.0ms (9.9%)

Compiler: Compiled 29616 to 22374 computations (24.5% saved)

prune317.0ms (4.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1134	4	1138
Fresh	0	1	1
Picked	1	0	1
Done	3	4	7
Total	1138	9	1147

Error

Counts

1147 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.6b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
▶	46.3b	(/.f64 (.f64 x (.f64 x -707281/11664)) (*.f64 x -841/108))
✓	30.9b	(/.f64 1 (/.f64 108/841 x))
▶	31.0b	(/.f64 1 (*.f64 (/.f64 1 x) 108/841))
▶	1.7b	(-.f64 (.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (*.f64 841/108 x) 4/29)) x) -4/29)
▶	0.2b	(-.f64 (.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) x) (/.f64 16/841 (-.f64 (.f64 841/108 x) 4/29)))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	30.8b	(*.f64 841/108 x)
	32.5b	4/29

Compiler

Compiled 83 to 66 computations (20.5% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 841/108 x)
✓	0.1b	(/.f64 x 841/108)
	0.3b	(/.f64 16/841 (-.f64 (*.f64 841/108 x) 4/29))
✓	0.4b	(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))

Compiler

Compiled 67 to 48 computations (28.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`associate-*r/`
1266×	`associate-/r*`
1094×	`associate-/l*`
902×	`associate-*l/`
886×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	229	26
2	3191	26

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 x 841/108)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x 841/108))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 108/841)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -108/841)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 841/108) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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 (sqrt.f64 (/.f64 x 841/108)) (sqrt.f64 (/.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x 841/108)) (neg.f64 (sqrt.f64 (/.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 108/841))))) (#(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 (cbrt.f64 (/.f64 x 841/108)) (neg.f64 (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 (pow.f64 (cbrt.f64 (/.f64 x 841/108)) 2) (neg.f64 (cbrt.f64 (/.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 108/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 108/841 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 108/841) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) 108/841) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 x 841/108))) (sqrt.f64 (/.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x 841/108)) 2)) (cbrt.f64 (/.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -108/841 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (/.f64 x 841/108))) (pow.f64 (cbrt.f64 (/.f64 x 841/108)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 841/108 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 841/108 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 841/108) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) -841/108) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 841/108) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -841/108) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 841/108 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 841/108 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(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 (/.f64 841/108 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1259712/594823321) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 11664/707281))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1259712/594823321))))) (#(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)))))))

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1034×	`associate-*r/`
960×	`associate-/r*`
802×	`*-commutative`
788×	`distribute-lft-in`
716×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	3739
1	733	3409
2	2657	3289

Stop Event

1×	node limit

Counts

149 → 203

Calls

Call 1

Inputs
(*.f64 -20511149/46656 x)
(+.f64 (.f64 -500246412961/20155392 (pow.f64 x 2)) (.f64 -20511149/46656 x))
(+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (.f64 -500246412961/20155392 (pow.f64 x 2)) (*.f64 -20511149/46656 x)))
(+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (.f64 -500246412961/20155392 (pow.f64 x 2)) (+.f64 (.f64 -20511149/46656 x) (.f64 -297558232675799463481/3761479876608 (pow.f64 x 4)))))
841/108
(+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (.f64 4/29 (/.f64 1 x))))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x)))))
841/108
(+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (.f64 4/29 (/.f64 1 x))))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x)))))
(*.f64 108/841 x)
(*.f64 108/841 x)
(*.f64 108/841 x)
(*.f64 108/841 x)
(*.f64 108/841 x)
(*.f64 108/841 x)
(*.f64 108/841 x)
(*.f64 108/841 x)
(*.f64 108/841 x)
(*.f64 108/841 x)
(*.f64 108/841 x)
(*.f64 108/841 x)
(+.f64 0 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))) 1)
(+.f64 (-.f64 0 (/.f64 0 (-.f64 46656/20511149 (/.f64 x 841/108)))) (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(+.f64 (-.f64 (/.f64 0 (-.f64 46656/20511149 (/.f64 x 841/108))) 0) (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(+.f64 (-.f64 (/.f64 0 (-.f64 46656/20511149 (/.f64 x 841/108))) (exp.f64 (log1p.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))) 1)
(+.f64 (-.f64 (/.f64 0 (-.f64 46656/20511149 (/.f64 x 841/108))) (/.f64 0 (-.f64 46656/20511149 (/.f64 x 841/108)))) (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(-.f64 0 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))) 1)
(-.f64 (/.f64 0 (-.f64 46656/20511149 (/.f64 x 841/108))) (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(*.f64 x (/.f64 1 (-.f64 46656/20511149 (/.f64 x 841/108))))
(*.f64 x (/.f64 1 (+.f64 (/.f64 x 841/108) -46656/20511149)))
(.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) (/.f64 x (+.f64 (.f64 (*.f64 x x) 11664/707281) 2176782336/420707233300201)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) 1)
(*.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) -1)
(*.f64 1 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))) (sqrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))) (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))) 2))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))) 2) (cbrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))
(*.f64 -1 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(*.f64 (/.f64 1 (-.f64 46656/20511149 (/.f64 x 841/108))) x)
(.f64 (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (.f64 5038848/17249876309 x) 2176782336/420707233300201)) (/.f64 x (-.f64 101559956668416/8629188747598184440949 (*.f64 (pow.f64 x 3) 1259712/594823321))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))) (/.f64 x (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) 2)) (/.f64 x (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))) (/.f64 1 (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))) (/.f64 -1 (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 x x) 11664/707281) 2176782336/420707233300201)) (.f64 x (-.f64 46656/20511149 (/.f64 x 841/108))))
(.f64 (/.f64 1 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321))) (.f64 x (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (.f64 5038848/17249876309 x) 2176782336/420707233300201))))
(.f64 (/.f64 x (+.f64 (.f64 (*.f64 x x) 11664/707281) 2176782336/420707233300201)) (-.f64 46656/20511149 (/.f64 x 841/108)))
(.f64 (/.f64 x (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321))) (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (*.f64 5038848/17249876309 x) 2176782336/420707233300201)))
(*.f64 (/.f64 1 (+.f64 (/.f64 x 841/108) -46656/20511149)) x)
(*.f64 (/.f64 x (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) 2)))
(*.f64 (/.f64 x (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))) (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) 2)))
(*.f64 (/.f64 (cbrt.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (cbrt.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) 2)) (cbrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))) (/.f64 x (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) 2)) (/.f64 x (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 46656/20511149 (/.f64 x 841/108))) (cbrt.f64 x))
(.f64 (/.f64 x (neg.f64 (+.f64 (.f64 (*.f64 x x) 11664/707281) 2176782336/420707233300201))) (-.f64 46656/20511149 (/.f64 x 841/108)))
(.f64 (/.f64 x (neg.f64 (+.f64 (.f64 (*.f64 x x) 11664/707281) 2176782336/420707233300201))) (+.f64 (/.f64 x 841/108) -46656/20511149))
(.f64 (/.f64 x (neg.f64 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321)))) (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (*.f64 5038848/17249876309 x) 2176782336/420707233300201)))
(.f64 (/.f64 x (neg.f64 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321)))) (neg.f64 (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (*.f64 5038848/17249876309 x) 2176782336/420707233300201))))
(.f64 (/.f64 x (+.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321))) (-.f64 (-.f64 2176782336/420707233300201 (.f64 5038848/17249876309 x)) (.f64 (*.f64 x x) 11664/707281)))
(*.f64 (/.f64 1 (/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) -1)) x)
(.f64 (/.f64 -1 (+.f64 (.f64 (.f64 x x) 11664/707281) 2176782336/420707233300201)) (.f64 x (-.f64 46656/20511149 (/.f64 x 841/108))))
(.f64 (/.f64 -1 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321))) (.f64 x (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (.f64 5038848/17249876309 x) 2176782336/420707233300201))))
(*.f64 (/.f64 -1 (/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 -1 (/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 -1 (/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) -1)) x)
(.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))) (sqrt.f64 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321)))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (*.f64 5038848/17249876309 x) 2176782336/420707233300201))))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))) (sqrt.f64 (+.f64 (.f64 (*.f64 x x) 11664/707281) 2176782336/420707233300201))) (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) 2)) (cbrt.f64 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321)))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (*.f64 5038848/17249876309 x) 2176782336/420707233300201))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) 2)) (cbrt.f64 (+.f64 (.f64 (*.f64 x x) 11664/707281) 2176782336/420707233300201))) (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))))
(pow.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) 1)
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))) 3)
(pow.f64 (pow.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) x) -1)
(neg.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) 2))
(log.f64 (exp.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) 3))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))
(exp.f64 (log.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))
(+.f64 0 (/.f64 x 841/108))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 x 841/108)))) 1)
(-.f64 0 (/.f64 x 841/108))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x 841/108))) 1)
(*.f64 x 108/841)
(*.f64 x -108/841)
(*.f64 (/.f64 x 841/108) 1)
(*.f64 (/.f64 x 841/108) -1)
(*.f64 1 (/.f64 x 841/108))
(*.f64 (sqrt.f64 (/.f64 x 841/108)) (sqrt.f64 (/.f64 x 841/108)))
(*.f64 (sqrt.f64 (/.f64 x 841/108)) (neg.f64 (sqrt.f64 (/.f64 x 841/108))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 108/841))
(*.f64 (cbrt.f64 (/.f64 x 841/108)) (pow.f64 (cbrt.f64 (/.f64 x 841/108)) 2))
(*.f64 (cbrt.f64 (/.f64 x 841/108)) (neg.f64 (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 (pow.f64 (cbrt.f64 (/.f64 x 841/108)) 2) (neg.f64 (cbrt.f64 (/.f64 x 841/108))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 108/841))
(*.f64 -1 (/.f64 x 841/108))
(*.f64 108/841 x)
(.f64 (.f64 (sqrt.f64 x) 108/841) (sqrt.f64 x))
(.f64 (.f64 (cbrt.f64 x) 108/841) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x 841/108))) (sqrt.f64 (/.f64 x 841/108)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x 841/108)) 2)) (cbrt.f64 (/.f64 x 841/108)))
(*.f64 -108/841 x)
(*.f64 (neg.f64 (cbrt.f64 (/.f64 x 841/108))) (pow.f64 (cbrt.f64 (/.f64 x 841/108)) 2))
(*.f64 (/.f64 1 (/.f64 841/108 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 1 (/.f64 841/108 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 841/108) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) -841/108) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 841/108) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -841/108) (cbrt.f64 x))
(*.f64 (/.f64 -1 (/.f64 841/108 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 -1 (/.f64 841/108 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(pow.f64 (/.f64 x 841/108) 1)
(pow.f64 (sqrt.f64 (/.f64 x 841/108)) 2)
(pow.f64 (cbrt.f64 (/.f64 x 841/108)) 3)
(pow.f64 (/.f64 841/108 x) -1)
(pow.f64 (*.f64 (pow.f64 x 3) 1259712/594823321) 1/3)
(neg.f64 (/.f64 x 841/108))
(sqrt.f64 (.f64 (.f64 x x) 11664/707281))
(log.f64 (exp.f64 (/.f64 x 841/108)))
(log.f64 (/.f64 1 (exp.f64 (/.f64 x 841/108))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x 841/108))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1259712/594823321))
(expm1.f64 (log1p.f64 (/.f64 x 841/108)))
(exp.f64 (log.f64 (/.f64 x 841/108)))
(log1p.f64 (expm1.f64 (/.f64 x 841/108)))

Outputs
(*.f64 -20511149/46656 x)
(+.f64 (.f64 -500246412961/20155392 (pow.f64 x 2)) (.f64 -20511149/46656 x))
(fma.f64 -500246412961/20155392 (.f64 x x) (.f64 -20511149/46656 x))
(fma.f64 -20511149/46656 x (.f64 -500246412961/20155392 (.f64 x x)))
(.f64 x (+.f64 -20511149/46656 (.f64 x -500246412961/20155392)))
(+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (.f64 -500246412961/20155392 (pow.f64 x 2)) (*.f64 -20511149/46656 x)))
(fma.f64 -12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 -500246412961/20155392 (.f64 x x) (.f64 -20511149/46656 x)))
(fma.f64 -12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 -20511149/46656 x (.f64 -500246412961/20155392 (.f64 x x))))
(fma.f64 -12200509765705829/8707129344 (pow.f64 x 3) (.f64 x (+.f64 -20511149/46656 (.f64 x -500246412961/20155392))))
(+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (.f64 -500246412961/20155392 (pow.f64 x 2)) (+.f64 (.f64 -20511149/46656 x) (.f64 -297558232675799463481/3761479876608 (pow.f64 x 4)))))
(fma.f64 -12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 -500246412961/20155392 (.f64 x x) (fma.f64 -20511149/46656 x (.f64 -297558232675799463481/3761479876608 (pow.f64 x 4)))))
841/108
(+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))
(+.f64 841/108 (/.f64 4/29 x))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (.f64 4/29 (/.f64 1 x))))
(+.f64 (+.f64 841/108 (/.f64 4/29 x)) (/.f64 1728/707281 (*.f64 x x)))
(+.f64 841/108 (+.f64 (/.f64 4/29 x) (/.f64 1728/707281 (*.f64 x x))))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x)))))
(+.f64 (/.f64 1728/707281 (*.f64 x x)) (+.f64 841/108 (+.f64 (/.f64 4/29 x) (/.f64 746496/17249876309 (pow.f64 x 3)))))
(+.f64 841/108 (+.f64 (/.f64 4/29 x) (+.f64 (/.f64 746496/17249876309 (pow.f64 x 3)) (/.f64 1728/707281 (*.f64 x x)))))
841/108
(+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))
(+.f64 841/108 (/.f64 4/29 x))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (.f64 4/29 (/.f64 1 x))))
(+.f64 (+.f64 841/108 (/.f64 4/29 x)) (/.f64 1728/707281 (*.f64 x x)))
(+.f64 841/108 (+.f64 (/.f64 4/29 x) (/.f64 1728/707281 (*.f64 x x))))
(+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x)))))
(+.f64 (/.f64 1728/707281 (*.f64 x x)) (+.f64 841/108 (+.f64 (/.f64 4/29 x) (/.f64 746496/17249876309 (pow.f64 x 3)))))
(+.f64 841/108 (+.f64 (/.f64 4/29 x) (+.f64 (/.f64 746496/17249876309 (pow.f64 x 3)) (/.f64 1728/707281 (*.f64 x x)))))
(*.f64 108/841 x)
(*.f64 x 108/841)
(*.f64 108/841 x)
(*.f64 x 108/841)
(*.f64 108/841 x)
(*.f64 x 108/841)
(*.f64 108/841 x)
(*.f64 x 108/841)
(*.f64 108/841 x)
(*.f64 x 108/841)
(*.f64 108/841 x)
(*.f64 x 108/841)
(*.f64 108/841 x)
(*.f64 x 108/841)
(*.f64 108/841 x)
(*.f64 x 108/841)
(*.f64 108/841 x)
(*.f64 x 108/841)
(*.f64 108/841 x)
(*.f64 x 108/841)
(*.f64 108/841 x)
(*.f64 x 108/841)
(*.f64 108/841 x)
(*.f64 x 108/841)
(+.f64 0 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))) 1)
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 x (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))
(+.f64 (-.f64 0 (/.f64 0 (-.f64 46656/20511149 (/.f64 x 841/108)))) (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(+.f64 (-.f64 (/.f64 0 (-.f64 46656/20511149 (/.f64 x 841/108))) 0) (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(+.f64 (-.f64 (/.f64 0 (-.f64 46656/20511149 (/.f64 x 841/108))) (exp.f64 (log1p.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))) 1)
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 x (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))
(+.f64 (-.f64 (/.f64 0 (-.f64 46656/20511149 (/.f64 x 841/108))) (/.f64 0 (-.f64 46656/20511149 (/.f64 x 841/108)))) (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(-.f64 0 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 x (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))) 1)
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(-.f64 (/.f64 0 (-.f64 46656/20511149 (/.f64 x 841/108))) (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 x (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))
(*.f64 x (/.f64 1 (-.f64 46656/20511149 (/.f64 x 841/108))))
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 x (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))
(*.f64 x (/.f64 1 (+.f64 (/.f64 x 841/108) -46656/20511149)))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) (/.f64 x (+.f64 (.f64 (*.f64 x x) 11664/707281) 2176782336/420707233300201)))
(.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) (/.f64 x (fma.f64 (.f64 x x) 11664/707281 2176782336/420707233300201)))
(.f64 (+.f64 46656/20511149 (/.f64 x -841/108)) (/.f64 x (fma.f64 x (.f64 x 11664/707281) 2176782336/420707233300201)))
(/.f64 x (/.f64 (fma.f64 x (.f64 x 11664/707281) 2176782336/420707233300201) (+.f64 46656/20511149 (.f64 x -108/841))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) 1)
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(*.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) -1)
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 x (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))
(*.f64 1 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))) (sqrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 x (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 x (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))) (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))) 2))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) 2)))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 46656/20511149 (/.f64 x -841/108))) 2)))
(.f64 (cbrt.f64 (/.f64 x (+.f64 (.f64 x 108/841) -46656/20511149))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 46656/20511149 (*.f64 x -108/841))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))) 2) (cbrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(*.f64 -1 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 x (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))
(*.f64 (/.f64 1 (-.f64 46656/20511149 (/.f64 x 841/108))) x)
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 x (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))
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(.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) (/.f64 x (neg.f64 (fma.f64 (.f64 x x) 11664/707281 2176782336/420707233300201))))
(.f64 (-.f64 -46656/20511149 (/.f64 x -841/108)) (/.f64 x (fma.f64 x (.f64 x 11664/707281) 2176782336/420707233300201)))
(.f64 x (/.f64 (+.f64 (.f64 x 108/841) -46656/20511149) (fma.f64 x (*.f64 x 11664/707281) 2176782336/420707233300201)))
(.f64 (/.f64 -1 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321))) (.f64 x (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (.f64 5038848/17249876309 x) 2176782336/420707233300201))))
(.f64 (.f64 x (fma.f64 (.f64 x x) 11664/707281 (fma.f64 5038848/17249876309 x 2176782336/420707233300201))) (/.f64 -1 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321))))
(.f64 (fma.f64 x (.f64 x 11664/707281) (fma.f64 x 5038848/17249876309 2176782336/420707233300201)) (/.f64 (neg.f64 x) (+.f64 101559956668416/8629188747598184440949 (*.f64 (pow.f64 x 3) -1259712/594823321))))
(.f64 x (/.f64 (+.f64 -2176782336/420707233300201 (.f64 x (+.f64 -5038848/17249876309 (.f64 x -11664/707281)))) (+.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) -1259712/594823321))))
(*.f64 (/.f64 -1 (/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(*.f64 (/.f64 -1 (/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(*.f64 (/.f64 -1 (/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) -1)) x)
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 x (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))) (sqrt.f64 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321)))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (*.f64 5038848/17249876309 x) 2176782336/420707233300201))))
(.f64 (/.f64 x (.f64 (sqrt.f64 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321))) (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))))) (sqrt.f64 (fma.f64 (.f64 x x) 11664/707281 (fma.f64 5038848/17249876309 x 2176782336/420707233300201))))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 46656/20511149 (/.f64 x -841/108)))) (sqrt.f64 (+.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) -1259712/594823321)))) (sqrt.f64 (fma.f64 x (*.f64 x 11664/707281) (fma.f64 x 5038848/17249876309 2176782336/420707233300201))))
(.f64 (/.f64 x (.f64 (sqrt.f64 (+.f64 46656/20511149 (.f64 x -108/841))) (sqrt.f64 (+.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) -1259712/594823321))))) (sqrt.f64 (fma.f64 x (*.f64 x 11664/707281) (fma.f64 x 5038848/17249876309 2176782336/420707233300201))))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108)))) (sqrt.f64 (+.f64 (.f64 (*.f64 x x) 11664/707281) 2176782336/420707233300201))) (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))))
(.f64 (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) (/.f64 x (.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 11664/707281 2176782336/420707233300201)) (sqrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))))))
(.f64 (sqrt.f64 (+.f64 46656/20511149 (/.f64 x -841/108))) (/.f64 x (.f64 (sqrt.f64 (+.f64 46656/20511149 (/.f64 x -841/108))) (sqrt.f64 (fma.f64 x (*.f64 x 11664/707281) 2176782336/420707233300201)))))
(.f64 (sqrt.f64 (+.f64 46656/20511149 (.f64 x -108/841))) (/.f64 (/.f64 x (sqrt.f64 (fma.f64 x (.f64 x 11664/707281) 2176782336/420707233300201))) (sqrt.f64 (+.f64 46656/20511149 (.f64 x -108/841)))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) 2)) (cbrt.f64 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321)))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 11664/707281) (+.f64 (*.f64 5038848/17249876309 x) 2176782336/420707233300201))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) 2)) (cbrt.f64 (-.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) 1259712/594823321)))) (cbrt.f64 (fma.f64 (*.f64 x x) 11664/707281 (fma.f64 5038848/17249876309 x 2176782336/420707233300201))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 46656/20511149 (/.f64 x -841/108))) 2)) (cbrt.f64 (+.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) -1259712/594823321)))) (cbrt.f64 (fma.f64 x (*.f64 x 11664/707281) (fma.f64 x 5038848/17249876309 2176782336/420707233300201))))
(.f64 (/.f64 x (.f64 (pow.f64 (cbrt.f64 (+.f64 46656/20511149 (.f64 x -108/841))) 2) (cbrt.f64 (+.f64 101559956668416/8629188747598184440949 (.f64 (pow.f64 x 3) -1259712/594823321))))) (cbrt.f64 (fma.f64 x (*.f64 x 11664/707281) (fma.f64 x 5038848/17249876309 2176782336/420707233300201))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) 2)) (cbrt.f64 (+.f64 (.f64 (*.f64 x x) 11664/707281) 2176782336/420707233300201))) (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))))
(.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) (/.f64 x (.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 11664/707281 2176782336/420707233300201)) (pow.f64 (cbrt.f64 (-.f64 46656/20511149 (/.f64 x 841/108))) 2))))
(.f64 (cbrt.f64 (+.f64 46656/20511149 (/.f64 x -841/108))) (/.f64 x (.f64 (pow.f64 (cbrt.f64 (+.f64 46656/20511149 (/.f64 x -841/108))) 2) (cbrt.f64 (fma.f64 x (*.f64 x 11664/707281) 2176782336/420707233300201)))))
(.f64 (cbrt.f64 (+.f64 46656/20511149 (.f64 x -108/841))) (/.f64 (/.f64 x (cbrt.f64 (fma.f64 x (.f64 x 11664/707281) 2176782336/420707233300201))) (pow.f64 (cbrt.f64 (+.f64 46656/20511149 (.f64 x -108/841))) 2)))
(pow.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) 1)
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))) 2)
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))) 3)
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(pow.f64 (pow.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) 3) 1/3)
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(pow.f64 (/.f64 (-.f64 46656/20511149 (/.f64 x 841/108)) x) -1)
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 x (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 x (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 46656/20511149 (*.f64 x -108/841)))
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) 2))
(fabs.f64 (/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108))))
(fabs.f64 (/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149)))
(log.f64 (exp.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))))))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) 3))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(exp.f64 (log.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))))
(/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) (+.f64 46656/20511149 (/.f64 x -841/108)))
(/.f64 x (+.f64 (*.f64 x 108/841) -46656/20511149))
(+.f64 0 (/.f64 x 841/108))
(*.f64 x 108/841)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 x 841/108)))) 1)
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(-.f64 0 (/.f64 x 841/108))
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x 841/108))) 1)
(*.f64 x 108/841)
(*.f64 x 108/841)
(*.f64 x -108/841)
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 (/.f64 x 841/108) 1)
(*.f64 x 108/841)
(*.f64 (/.f64 x 841/108) -1)
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(*.f64 1 (/.f64 x 841/108))
(*.f64 x 108/841)
(*.f64 (sqrt.f64 (/.f64 x 841/108)) (sqrt.f64 (/.f64 x 841/108)))
(*.f64 x 108/841)
(*.f64 (sqrt.f64 (/.f64 x 841/108)) (neg.f64 (sqrt.f64 (/.f64 x 841/108))))
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 108/841))
(*.f64 x 108/841)
(*.f64 (cbrt.f64 (/.f64 x 841/108)) (pow.f64 (cbrt.f64 (/.f64 x 841/108)) 2))
(*.f64 x 108/841)
(*.f64 (cbrt.f64 (/.f64 x 841/108)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x 841/108)) 2)))
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x 841/108)) 2) (cbrt.f64 (/.f64 x 841/108)))
(*.f64 x 108/841)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x 841/108)) 2) (neg.f64 (cbrt.f64 (/.f64 x 841/108))))
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 108/841))
(*.f64 x 108/841)
(*.f64 -1 (/.f64 x 841/108))
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(*.f64 108/841 x)
(*.f64 x 108/841)
(.f64 (.f64 (sqrt.f64 x) 108/841) (sqrt.f64 x))
(*.f64 x 108/841)
(.f64 (.f64 (cbrt.f64 x) 108/841) (pow.f64 (cbrt.f64 x) 2))
(*.f64 x 108/841)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x 841/108))) (sqrt.f64 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x 841/108)) 2)) (cbrt.f64 (/.f64 x 841/108)))
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(*.f64 -108/841 x)
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(*.f64 (neg.f64 (cbrt.f64 (/.f64 x 841/108))) (pow.f64 (cbrt.f64 (/.f64 x 841/108)) 2))
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(*.f64 (/.f64 1 (/.f64 841/108 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 x 108/841)
(*.f64 (/.f64 1 (/.f64 841/108 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 x 108/841)
(*.f64 (/.f64 (sqrt.f64 x) 841/108) (sqrt.f64 x))
(*.f64 x 108/841)
(*.f64 (/.f64 (sqrt.f64 x) -841/108) (sqrt.f64 x))
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 841/108) (cbrt.f64 x))
(*.f64 x 108/841)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -841/108) (cbrt.f64 x))
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(*.f64 (/.f64 -1 (/.f64 841/108 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(*.f64 (/.f64 -1 (/.f64 841/108 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(pow.f64 (/.f64 x 841/108) 1)
(*.f64 x 108/841)
(pow.f64 (sqrt.f64 (/.f64 x 841/108)) 2)
(*.f64 x 108/841)
(pow.f64 (cbrt.f64 (/.f64 x 841/108)) 3)
(*.f64 x 108/841)
(pow.f64 (/.f64 841/108 x) -1)
(*.f64 x 108/841)
(pow.f64 (*.f64 (pow.f64 x 3) 1259712/594823321) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1259712/594823321))
(neg.f64 (/.f64 x 841/108))
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(sqrt.f64 (.f64 (.f64 x x) 11664/707281))
(sqrt.f64 (.f64 x (.f64 x 11664/707281)))
(log.f64 (exp.f64 (/.f64 x 841/108)))
(*.f64 x 108/841)
(log.f64 (/.f64 1 (exp.f64 (/.f64 x 841/108))))
(/.f64 (neg.f64 x) 841/108)
(/.f64 x -841/108)
(*.f64 x -108/841)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x 841/108))))
(*.f64 x 108/841)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1259712/594823321))
(expm1.f64 (log1p.f64 (/.f64 x 841/108)))
(*.f64 x 108/841)
(exp.f64 (log.f64 (/.f64 x 841/108)))
(*.f64 x 108/841)
(log1p.f64 (expm1.f64 (/.f64 x 841/108)))
(*.f64 x 108/841)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 38 computations (24% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite83.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1778×	`associate-*l/`
1580×	`associate-/l*`
1462×	`associate-/r*`
618×	`associate-/r/`
242×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	245	27
2	3189	25

Stop Event

1×	node limit

Counts

1 → 147

Calls

Call 1

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

Outputs

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simplify125.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-/l*`
726×	`associate-/l/`
658×	`distribute-lft-in`
654×	`distribute-rgt-in`
646×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	446	6061
1	1220	5073
2	6177	5071

Stop Event

1×	node limit

Counts

159 → 226

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

Outputs
(*.f64 -20511149/46656 (pow.f64 x 2))
(.f64 -20511149/46656 (.f64 x x))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(fma.f64 -20511149/46656 (.f64 x x) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(fma.f64 -500246412961/20155392 (pow.f64 x 3) (.f64 -20511149/46656 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 -20511149/46656 (*.f64 x -500246412961/20155392)))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (.f64 -12200509765705829/8707129344 (pow.f64 x 4))))
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(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)))))
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(.f64 (/.f64 x (fma.f64 841/108 x -4/29)) (.f64 x 707281/11664))
(/.f64 x (-.f64 108/841 (/.f64 46656/20511149 x)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (*.f64 841/108 x) 4/29)) x)))
(.f64 (/.f64 x (fma.f64 841/108 x -4/29)) (.f64 x 707281/11664))
(/.f64 x (-.f64 108/841 (/.f64 46656/20511149 x)))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 (/.f64 1 x) 108/841))
✓	0.4b	(*.f64 (/.f64 1 x) 108/841)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`add-sqr-sqrt`
1436×	`*-un-lft-identity`
1346×	`add-cube-cbrt`
1334×	`add-cbrt-cube`
1318×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	166	14
2	1984	14

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1056×	`associate-+r+`
982×	`associate-+l+`
852×	`unswap-sqr`
834×	`*-commutative`
648×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	556
1	215	556
2	942	556
3	4779	556

Stop Event

1×	node limit

Counts

70 → 51

Calls

Call 1

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

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

localize55.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x -707281/11664))
	0.1b	(*.f64 x -841/108)
✓	0.1b	(*.f64 x -707281/11664)
✓	29.1b	(/.f64 (.f64 x (.f64 x -707281/11664)) (*.f64 x -841/108))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite199.0ms (2.9%)

Algorithm

3×	egg-rewrite
1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

1590×	`associate-*r/`
1590×	`associate-*r/`
1158×	`associate-*l/`
1158×	`associate-*l/`
1108×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	75
1	195	75
2	2778	75
0	9	25
1	195	25
2	2778	25
0	9	25
0	5	7
1	100	7
2	1112	7
0	6	13
1	121	13
2	1385	13

Stop Event

1×	node limit
1×	node limit
1×	iter limit
1×	node limit
1×	node limit

Counts

3 → 33

Calls

Call 1

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

Outputs

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

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

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

simplify42.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1404×	`associate-*r/`
1322×	`associate-/l*`
1044×	`times-frac`
838×	`unswap-sqr`
826×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	631
1	212	631
2	1195	625

Stop Event

1×	node limit

Counts

69 → 41

Calls

Call 1

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

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

eval411.0ms (5.9%)

Compiler: Compiled 16647 to 12810 computations (23% saved)

prune206.0ms (3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	805	2	807
Fresh	0	1	1
Picked	1	0	1
Done	2	5	7
Total	808	8	816

Error

Counts

816 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.6b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
✓	30.9b	(/.f64 1 (/.f64 108/841 x))
✓	31.0b	(/.f64 1 (*.f64 (/.f64 1 x) 108/841))
	1.6b	(-.f64 (/.f64 x (-.f64 108/841 (/.f64 46656/20511149 x))) -4/29)
	30.4b	(-.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) x) (/.f64 1728/707281 x))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	30.8b	(*.f64 841/108 x)
	32.5b	4/29

Compiler

Compiled 65 to 52 computations (20% saved)

regimes53.0ms (0.8%)

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 1 (*.f64 (/.f64 1 x) 108/841))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(-.f64 (/.f64 x (-.f64 108/841 (/.f64 46656/20511149 x))) -4/29)
(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))
(/.f64 (.f64 x (.f64 x -707281/11664)) (*.f64 x -841/108))
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (*.f64 x -841/108))
(-.f64 (.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (*.f64 841/108 x) 4/29)) x) -4/29)
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(-.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) x) (/.f64 1728/707281 x))
(/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))
(-.f64 (.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) x) (/.f64 16/841 (-.f64 (.f64 841/108 x) 4/29)))
(-.f64 (.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29)) x) (/.f64 16/841 (-.f64 (.f64 841/108 x) 4/29)))
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(fma.f64 841/108 x 4/29)
(/.f64 1 (-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3))

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

Calls

3 calls:

31.0ms	(*.f64 (/.f64 841 108) x)
10.0ms	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 243 to 186 computations (23.5% saved)

regimes64.0ms (0.9%)

Counts

17 → 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 1 (*.f64 (/.f64 1 x) 108/841))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(-.f64 (/.f64 x (-.f64 108/841 (/.f64 46656/20511149 x))) -4/29)
(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))
(/.f64 (.f64 x (.f64 x -707281/11664)) (*.f64 x -841/108))
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (*.f64 x -841/108))
(-.f64 (.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (*.f64 841/108 x) 4/29)) x) -4/29)
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(-.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) x) (/.f64 1728/707281 x))
(/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))
(-.f64 (.f64 (/.f64 (neg.f64 x) (-.f64 46656/20511149 (/.f64 x 841/108))) x) (/.f64 16/841 (-.f64 (.f64 841/108 x) 4/29)))
(-.f64 (.f64 (/.f64 (.f64 x 707281/11664) (-.f64 (.f64 841/108 x) 4/29)) x) (/.f64 16/841 (-.f64 (.f64 841/108 x) 4/29)))
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 (.f64 (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (.f64 x -841/108)))) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))

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

Calls

3 calls:

43.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
8.0ms	(*.f64 (/.f64 841 108) x)
8.0ms	x

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 216 to 163 computations (24.5% saved)

regimes10.0ms (0.1%)

Accuracy

Total -60.2b remaining (-3866.2%)

Threshold costs -60.2b (-3866.2%)

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
1.6b	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch32.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	9.741807412593463e-7	0.5695450506962522
17.0ms	-0.23867032663152032	-6.40816570081755e-14

Results

26.0ms

304×

body

256

valid

Compiler

Compiled 166 to 145 computations (12.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	25	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness12.0ms (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)

end71.0ms (1%)

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