Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.5s (33.1%)

Results

732.0ms	2139×	body	1024	valid
504.0ms	4898×	body	256	valid
206.0ms	1015×	body	512	valid
79.0ms	204×	body	2048	valid

Bogosity

preprocess84.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

948×	`fma-def`
832×	`unswap-sqr`
818×	`associate-+r+`
660×	`associate-r`
616×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	58
1	31	58
2	43	58
3	61	58
4	106	58
5	217	58
6	526	58
7	1493	58
8	3588	58
9	5078	58
10	7319	58
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)

Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) y))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 y) -2))) -1)

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1968×	`times-frac`
742×	`associate-*l/`
634×	`associate--l-`
606×	`*-commutative`
584×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	21	29
2	27	29
3	37	29
4	62	29
5	121	29
6	288	29
7	764	29
8	1855	29
9	3380	29
10	6200	29

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)

eval1.0ms (0%)

Compiler: Compiled 32 to 29 computations (9.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

29.5b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 12 to 11 computations (8.3% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓	2.3b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 37 to 31 computations (16.2% saved)

series3.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
1.0ms	x	@	-inf	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0ms	x	@	0	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0ms	x	@	inf	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0ms	x	@	-inf	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

rewrite86.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1144×	`associate-*r/`
998×	`*-commutative`
844×	`associate-*l/`
548×	`distribute-lft-in`
520×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	256	52
2	3143	52

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

Outputs
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Outputs

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

simplify149.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1572×	`associate-*r/`
1340×	`associate-*l/`
1018×	`associate-+r+`
886×	`associate-+l+`
568×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	375	10388
1	1016	10122
2	3681	10020

Stop Event

1×	node limit

Counts

150 → 244

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5)))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(*.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))))
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (-.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1))
(*.f64 (-.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) (+.f64 1 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))) (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))))
(*.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1) (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(*.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1) (-.f64 1 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) (-.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1) (+.f64 1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)))) (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(.f64 (/.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (-.f64 (/.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)) (.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2)) (*.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(.f64 (/.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (+.f64 (pow.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3))) (+.f64 (/.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)) (.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2)) (-.f64 (.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (/.f64 (.f64 4 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (-.f64 1 (/.f64 2 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))) (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)))))
(/.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)
(/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(/.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))))
(/.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (-.f64 1 (/.f64 2 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))))
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(+.f64 (.f64 (.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (.f64 -2 x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3))))) (.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(-.f64 (+.f64 1 (/.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(-.f64 (+.f64 1 (/.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))))
(*.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 -2 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 2 (-.f64 1 (exp.f64 (.f64 x -4)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)
(.f64 (-.f64 (exp.f64 (.f64 x -4)) (expm1.f64 (.f64 -2 x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (/.f64 2 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)) (/.f64 2 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(.f64 (/.f64 2 (-.f64 1 (exp.f64 (.f64 x -4)))) (-.f64 1 (pow.f64 (exp.f64 -2) x)))
(.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3)))) (-.f64 (exp.f64 (.f64 x -4)) (expm1.f64 (.f64 -2 x))))
(.f64 (/.f64 1 (-.f64 1 (exp.f64 (.f64 x -4)))) (*.f64 2 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3)))) (.f64 2 (-.f64 (exp.f64 (.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) -2)
(.f64 (/.f64 2 (neg.f64 (-.f64 1 (exp.f64 (.f64 x -4))))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(.f64 (/.f64 2 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3))))) (neg.f64 (-.f64 (exp.f64 (.f64 x -4)) (expm1.f64 (.f64 -2 x)))))
(.f64 (/.f64 2 (-.f64 (exp.f64 (.f64 x -4)) 1)) (expm1.f64 (*.f64 -2 x)))
(.f64 (/.f64 -2 (neg.f64 (-.f64 1 (exp.f64 (.f64 x -4))))) (-.f64 1 (pow.f64 (exp.f64 -2) x)))
(.f64 (/.f64 -2 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3))))) (-.f64 (exp.f64 (.f64 x -4)) (expm1.f64 (.f64 -2 x))))
(.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 1 (exp.f64 (.f64 x -4))))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3))))) (sqrt.f64 (-.f64 (exp.f64 (.f64 x -4)) (expm1.f64 (.f64 -2 x)))))
(.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (-.f64 1 (exp.f64 (.f64 x -4))))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3))))) (cbrt.f64 (-.f64 (exp.f64 (.f64 x -4)) (expm1.f64 (.f64 -2 x)))))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3)
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2) -1)
(pow.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)) 1/3)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(cbrt.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5)))))
(+.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(*.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(*.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (+.f64 -1 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (+.f64 -1 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))))
(/.f64 (*.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) 1) (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))))
(/.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))))
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (-.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(*.f64 (-.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) (+.f64 1 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(*.f64 (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1))
(*.f64 (+.f64 -1 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (+.f64 -1 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))) (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))))
(/.f64 (*.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) 1) (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))))
(/.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))))
(*.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1) (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(*.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1) (-.f64 1 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) (-.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 (+.f64 -1 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (-.f64 1 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) (-.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 (+.f64 -1 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (+.f64 1 (/.f64 -4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) (+.f64 1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1) (+.f64 1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)))) (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (*.f64 (+.f64 -1 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (-.f64 (+.f64 1 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (+.f64 1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))))
(/.f64 (*.f64 (+.f64 -1 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (+.f64 1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))))
(/.f64 (+.f64 -1 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (/.f64 (+.f64 1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(.f64 (/.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (-.f64 (/.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)) (.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2)) (*.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(.f64 (/.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (-.f64 (/.f64 -8 (.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2) (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(.f64 (/.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (+.f64 (/.f64 -8 (.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (.f64 1/2 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)))) (.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 -1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 -1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(.f64 (/.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (+.f64 (/.f64 -8 (.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (.f64 1/2 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)))) (.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 -1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (-.f64 1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
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(/.f64 (.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) -1)) (expm1.f64 (.f64 x -4)))
(.f64 (/.f64 -2 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3))))) (-.f64 (exp.f64 (.f64 x -4)) (expm1.f64 (.f64 -2 x))))
(.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3)))) (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (*.f64 x -2))))
(.f64 2 (/.f64 (-.f64 (exp.f64 (.f64 x -4)) (expm1.f64 (.f64 x -2))) (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3)))))
(.f64 2 (/.f64 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 x -2))) (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))))
(.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 1 (exp.f64 (.f64 x -4))))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(.f64 (/.f64 2 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3))))) (sqrt.f64 (-.f64 (exp.f64 (.f64 x -4)) (expm1.f64 (.f64 -2 x)))))
(.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3))))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (*.f64 x -2)))))
(.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (hypot.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x 2/3)))) (sqrt.f64 (-.f64 (exp.f64 (.f64 x -4)) (expm1.f64 (*.f64 x -2)))))
(.f64 (/.f64 (/.f64 2 (hypot.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x 2/3)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 x -2)))))
(.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (-.f64 1 (exp.f64 (.f64 x -4))))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(.f64 (/.f64 2 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(.f64 (/.f64 2 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2) (cbrt.f64 (-.f64 1 (exp.f64 (*.f64 x -4)))))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(.f64 (/.f64 2 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4))))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3))))) (cbrt.f64 (-.f64 (exp.f64 (.f64 x -4)) (expm1.f64 (.f64 -2 x)))))
(.f64 (/.f64 2 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3)))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 x -2)))))
(/.f64 (.f64 2 (cbrt.f64 (-.f64 (exp.f64 (.f64 x -4)) (expm1.f64 (.f64 x -2))))) (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))))
(.f64 (/.f64 (/.f64 2 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 x 3))))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (*.f64 x -2)))))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(pow.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)) 1/3)
(cbrt.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(cbrt.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))

eval169.0ms (3.6%)

Compiler: Compiled 8109 to 7348 computations (9.4% saved)

prune36.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	241	3	244
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	241	4	245

Error

Counts

245 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶	59.8b	(-.f64 (+.f64 x 1) 1)
▶	31.8b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
	30.4b	x

Compiler

Compiled 31 to 26 computations (16.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.1b	(*.f64 -1/3 (pow.f64 x 3))

Compiler

Compiled 20 to 15 computations (25% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 -1/3 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
0.0ms	x	@	-inf	(*.f64 -1/3 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 -1/3 (pow.f64 x 3))
0.0ms	x	@	-inf	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)

rewrite59.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`add-sqr-sqrt`
1702×	`*-un-lft-identity`
1612×	`add-cube-cbrt`
1600×	`add-cbrt-cube`
166×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	180	28
2	2168	28

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -1/3 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 3) (.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/9)) (-.f64 x (.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x))) (neg.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 -1/3 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/3)) 2) (.f64 x (cbrt.f64 -1/3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 -1/3 (pow.f64 x 3)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 3) (*.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 x (cbrt.f64 -1/3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))))))

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

828×	`associate-*r/`
676×	`associate-*l/`
648×	`+-commutative`
606×	`associate--r+`
558×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1289
1	286	1239
2	1157	1171
3	5224	1171

Stop Event

1×	node limit

Counts

53 → 57

Calls

Call 1

Inputs
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 3) (*.f64 -1/3 x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3)))))))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/3)) 2) (.f64 x (cbrt.f64 -1/3)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))

Outputs
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(*.f64 -1/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))
(*.f64 -1/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(*.f64 -1/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/3 (pow.f64 x 3))) 1))
(*.f64 -1/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)
(fma.f64 -1/3 (pow.f64 x 3) x)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 3) (*.f64 -1/3 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(fma.f64 -1/3 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))
(fma.f64 -1/3 (pow.f64 x 3) x)
(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))
(fma.f64 -1/3 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(fma.f64 -1/3 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))
(fma.f64 -1/3 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/3)) 2) (.f64 x (cbrt.f64 -1/3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.8b	(-.f64 (+.f64 x 1) 1)

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`add-sqr-sqrt`
1264×	`*-un-lft-identity`
1190×	`add-cube-cbrt`
1182×	`add-cbrt-cube`
1174×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	136	1
2	1860	1

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(-.f64 (+.f64 x 1) 1)

Outputs

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

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1256×	`associate-/l*`
1212×	`distribute-lft-in`
1028×	`distribute-rgt-in`
946×	`associate-/r*`
850×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	94	323
1	220	293
2	1162	293

Stop Event

1×	node limit

Counts

53 → 44

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
(+.f64 1 (+.f64 x -1))
(+.f64 (+.f64 x 1) -1)
(+.f64 0 x)
(+.f64 -1 (+.f64 x 1))
(*.f64 x 1)
(*.f64 1 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(/.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (.f64 x x) (-.f64 0 (.f64 x 0))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(pow.f64 x 1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 x 0)
(fma.f64 1 (+.f64 x 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)

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

eval26.0ms (0.6%)

Compiler: Compiled 1124 to 831 computations (26.1% saved)

prune14.0ms (0.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	98	7	105

Error

Counts

105 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.6b	(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
▶	31.1b	(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓	29.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	59.8b	(-.f64 (+.f64 x 1) 1)
✓	31.8b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶	31.0b	(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
	30.4b	x

Compiler

Compiled 68 to 54 computations (20.6% saved)

localize40.0ms (0.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x 2) x)
✓	14.5b	(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 (+.f64 x 2) x)
0.0ms	x	@	-inf	(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
0.0ms	x	@	0	(*.f64 (+.f64 x 2) x)
0.0ms	x	@	inf	(*.f64 (+.f64 x 2) x)
0.0ms	x	@	0	(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))

rewrite61.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1984×	`add-sqr-sqrt`
1958×	`*-un-lft-identity`
1840×	`add-cube-cbrt`
1814×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	195	38
2	2503	38

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 x 2) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 x 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 x 2)) -1) (+.f64 (neg.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 x 2))) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 x (+.f64 x 2))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x (+.f64 x 2))) (+.f64 (neg.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) 1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (+.f64 x 2))) (+.f64 (neg.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))))))

simplify41.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1358×	`associate-*r/`
1014×	`associate-/r*`
940×	`associate-*l/`
728×	`associate-/l/`
632×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	610
1	274	598
2	1231	586

Stop Event

1×	node limit

Counts

70 → 63

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)))) 1)
(/.f64 x (/.f64 (+.f64 x 2) (+.f64 x 2)))
(/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))
(/.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))))
(/.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (.f64 x (+.f64 x 2)))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (.f64 x (+.f64 x 2)))))
(/.f64 (.f64 (.f64 x (+.f64 x 2)) -1) (+.f64 (neg.f64 x) -2))
(/.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 x 2))) (+.f64 x -2))
(/.f64 (.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 x (+.f64 x 2))) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (.f64 -1 (.f64 x (+.f64 x 2))) (+.f64 (neg.f64 x) -2))
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) 1) (+.f64 x 2))
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
(/.f64 (neg.f64 (*.f64 x (+.f64 x 2))) (+.f64 (neg.f64 x) -2))
(pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
(exp.f64 (log.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
(+.f64 (.f64 x x) (.f64 x 2))
(+.f64 (.f64 x 2) (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(/.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)))) 1)
x
(/.f64 x (/.f64 (+.f64 x 2) (+.f64 x 2)))
x
(/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))
x
(/.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2))
x
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))))
x
(/.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (.f64 x (+.f64 x 2)))))
x
(/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (.f64 x (+.f64 x 2)))))
x
(/.f64 (.f64 (.f64 x (+.f64 x 2)) -1) (+.f64 (neg.f64 x) -2))
x
(/.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 x 2))) (+.f64 x -2))
(/.f64 (/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x 2)) (+.f64 x -2))
(/.f64 x (*.f64 (/.f64 (+.f64 x -2) (fma.f64 x x -4)) (+.f64 x 2)))
(/.f64 (.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 x (+.f64 x 2))) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2))) (/.f64 x (+.f64 x 2))))
(/.f64 (/.f64 (fma.f64 x 8 (pow.f64 x 4)) (+.f64 x 2)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (/.f64 (fma.f64 x 8 (pow.f64 x 4)) (+.f64 x 2)) (fma.f64 x x (fma.f64 x -2 4)))
(/.f64 (.f64 -1 (.f64 x (+.f64 x 2))) (+.f64 (neg.f64 x) -2))
x
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) 1) (+.f64 x 2))
x
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
x
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
x
(/.f64 (neg.f64 (*.f64 x (+.f64 x 2))) (+.f64 (neg.f64 x) -2))
x
(pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 1)
x
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 2)
x
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 3)
x
(pow.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 3) 1/3)
x
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 2))
x
(log.f64 (exp.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
x
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)))))
x
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 3))
x
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
x
(exp.f64 (log.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
x
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 1))
x
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
x
(+.f64 (.f64 x x) (.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (.f64 x 2) (.f64 x x))
(*.f64 x (+.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)
(*.f64 x (+.f64 x 2))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 x (/.f64 (+.f64 x -2) (fma.f64 x x -4)))
(/.f64 (fma.f64 x x -4) (/.f64 (+.f64 x -2) x))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2))) x))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (fma.f64 x -2 4)))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(/.f64 x (/.f64 (+.f64 x -2) (fma.f64 x x -4)))
(/.f64 (fma.f64 x x -4) (/.f64 (+.f64 x -2) x))
(/.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2))) x))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (fma.f64 x -2 4)))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 x 2))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(*.f64 x (+.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(*.f64 x (+.f64 x 2))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(*.f64 x (+.f64 x 2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(*.f64 x (+.f64 x 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 x 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 x (+.f64 x 2))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(*.f64 x (+.f64 x 2))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 x 2))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 x 2))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))
(*.f64 x (+.f64 x 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 x 2))

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 x 2) x)
✓	0.2b	(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓	14.4b	(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))

Compiler

Compiled 33 to 23 computations (30.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
0.0ms	x	@	0	(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
0.0ms	x	@	inf	(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
0.0ms	x	@	0	(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))

rewrite64.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`add-sqr-sqrt`
1962×	`*-un-lft-identity`
1852×	`add-cube-cbrt`
1830×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	56
1	200	8
2	2801	8

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

Inputs
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) 1) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) 1) (/.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))) (/.f64 x (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (*.f64 x (+.f64 x 2)) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (neg.f64 x) -2)) (*.f64 x (+.f64 (neg.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (sqrt.f64 (+.f64 x 2))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (+.f64 x 2))) (log.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

590×	`associate-r`
498×	`associate-l`
490×	`times-frac`
474×	`distribute-lft-neg-in`
464×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	208	561
1	563	555
2	3916	555

Stop Event

1×	node limit

Counts

109 → 92

Calls

Call 1

Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)
(*.f64 (+.f64 x 2) (/.f64 (/.f64 1 x) (+.f64 x 2)))
(*.f64 (/.f64 1 x) 1)
(*.f64 1 (/.f64 1 x))
(.f64 (sqrt.f64 (+.f64 x 2)) (.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (/.f64 1 x) (+.f64 x 2))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (.f64 (cbrt.f64 (+.f64 x 2)) (/.f64 (/.f64 1 x) (+.f64 x 2))))
(*.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2))
(.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (.f64 x (+.f64 (neg.f64 x) -2))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x 2)))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) 1) (/.f64 (sqrt.f64 (+.f64 x 2)) (.f64 x (+.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 2)) (.f64 x (+.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) x) (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)))
(.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) x) (/.f64 (cbrt.f64 (+.f64 x 2)) (+.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (+.f64 x 2)) (/.f64 (cbrt.f64 (+.f64 x 2)) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (sqrt.f64 (.f64 x (+.f64 x 2)))) (/.f64 (cbrt.f64 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (/.f64 1 x)))
(pow.f64 x -1)
(pow.f64 (/.f64 1 x) 1)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 1 x)) 3)
(pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)
(neg.f64 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 (neg.f64 x) -2))))
(sqrt.f64 (/.f64 (/.f64 1 x) x))
(log.f64 (exp.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 x) 3))
(expm1.f64 (log1p.f64 (/.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(.f64 (.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))
(*.f64 1 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(.f64 (/.f64 1 (+.f64 x 2)) (.f64 x (+.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) -1))
(*.f64 -1 (/.f64 1 (/.f64 -1 x)))
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) x) (+.f64 x 2))
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) 1) (*.f64 x (+.f64 x 2)))
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) (sqrt.f64 (.f64 x (+.f64 x 2)))) (sqrt.f64 (.f64 x (+.f64 x 2))))
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (.f64 x (+.f64 x 2))))
(*.f64 (/.f64 (+.f64 x 2) 1) (/.f64 x (+.f64 x 2)))
(*.f64 (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))) (/.f64 x (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 2))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 (.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (.f64 x (+.f64 x 2)) (cbrt.f64 (+.f64 x 2))))
(.f64 (/.f64 1 (+.f64 (neg.f64 x) -2)) (.f64 x (+.f64 (neg.f64 x) -2)))
(.f64 (/.f64 (.f64 x (+.f64 x 2)) (fma.f64 x x -4)) (+.f64 x -2))
(.f64 (/.f64 (.f64 x (+.f64 x 2)) (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (+.f64 x 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (sqrt.f64 (+.f64 x 2))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1 x)) -1))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (-.f64 (log.f64 (*.f64 x (+.f64 x 2))) (log.f64 (+.f64 x 2))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 x) 1))
(log1p.f64 (expm1.f64 x))

Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)
(/.f64 1 x)
(*.f64 (+.f64 x 2) (/.f64 (/.f64 1 x) (+.f64 x 2)))
(/.f64 1 x)
(*.f64 (/.f64 1 x) 1)
(/.f64 1 x)
(*.f64 1 (/.f64 1 x))
(/.f64 1 x)
(.f64 (sqrt.f64 (+.f64 x 2)) (.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (/.f64 1 x) (+.f64 x 2))))
(/.f64 1 x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 1 x)
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (.f64 (cbrt.f64 (+.f64 x 2)) (/.f64 (/.f64 1 x) (+.f64 x 2))))
(/.f64 1 x)
(*.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
(/.f64 1 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)))
(/.f64 1 x)
(*.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x))
(/.f64 1 x)
(*.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2))
(/.f64 1 x)
(.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (.f64 x (+.f64 (neg.f64 x) -2))))
(/.f64 1 x)
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x 2)))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))
(/.f64 1 x)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(/.f64 1 x)
(.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) 1) (/.f64 (sqrt.f64 (+.f64 x 2)) (.f64 x (+.f64 x 2))))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) x))
(/.f64 1 x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 2)) (.f64 x (+.f64 x 2))))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) x) (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)))
(/.f64 1 x)
(.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(/.f64 1 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) x) (/.f64 (cbrt.f64 (+.f64 x 2)) (+.f64 x 2)))
(/.f64 1 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (+.f64 x 2)) (/.f64 (cbrt.f64 (+.f64 x 2)) x))
(/.f64 1 x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (sqrt.f64 (.f64 x (+.f64 x 2)))) (/.f64 (cbrt.f64 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))))
(/.f64 1 x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2)))
(pow.f64 x -1)
(/.f64 1 x)
(pow.f64 (/.f64 1 x) 1)
(/.f64 1 x)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2)
(/.f64 1 x)
(pow.f64 (cbrt.f64 (/.f64 1 x)) 3)
(/.f64 1 x)
(pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)
(/.f64 1 x)
(neg.f64 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 (neg.f64 x) -2))))
(/.f64 1 x)
(sqrt.f64 (/.f64 (/.f64 1 x) x))
(sqrt.f64 (/.f64 1 (*.f64 x x)))
(sqrt.f64 (pow.f64 x -2))
(log.f64 (exp.f64 (/.f64 1 x)))
(/.f64 1 x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))
(/.f64 1 x)
(cbrt.f64 (pow.f64 (/.f64 1 x) 3))
(/.f64 1 x)
(expm1.f64 (log1p.f64 (/.f64 1 x)))
(/.f64 1 x)
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 1 x)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(/.f64 1 x)
(log1p.f64 (expm1.f64 (/.f64 1 x)))
(/.f64 1 x)
(-.f64 (exp.f64 (log1p.f64 x)) 1)
x
(*.f64 x 1)
x
(.f64 (.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))
x
(*.f64 1 x)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(.f64 (/.f64 1 (+.f64 x 2)) (.f64 x (+.f64 x 2)))
x
(*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) -1))
x
(*.f64 -1 (/.f64 1 (/.f64 -1 x)))
x
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) x) (+.f64 x 2))
x
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)
x
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) 1) (*.f64 x (+.f64 x 2)))
x
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) (sqrt.f64 (.f64 x (+.f64 x 2)))) (sqrt.f64 (.f64 x (+.f64 x 2))))
x
(.f64 (.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (.f64 x (+.f64 x 2))))
x
(*.f64 (/.f64 (+.f64 x 2) 1) (/.f64 x (+.f64 x 2)))
x
(*.f64 (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))) (/.f64 x (sqrt.f64 (+.f64 x 2))))
x
(*.f64 (/.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 2))))
x
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 (.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
x
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (.f64 x (+.f64 x 2)) (cbrt.f64 (+.f64 x 2))))
x
(.f64 (/.f64 1 (+.f64 (neg.f64 x) -2)) (.f64 x (+.f64 (neg.f64 x) -2)))
x
(.f64 (/.f64 (.f64 x (+.f64 x 2)) (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x 2))) (+.f64 x -2))
(.f64 (/.f64 (.f64 x (+.f64 x 2)) (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(.f64 (.f64 (/.f64 x (+.f64 8 (pow.f64 x 3))) (+.f64 x 2)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))))
x
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (+.f64 x 2))))
x
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
x
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
x
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))
x
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
x
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (sqrt.f64 (+.f64 x 2))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
x
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))
x
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))
x
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1 x)) -1))
x
(pow.f64 x 1)
x
(pow.f64 (/.f64 1 x) -1)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 1 (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (-.f64 (log.f64 (*.f64 x (+.f64 x 2))) (log.f64 (+.f64 x 2))))
x
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
x
(exp.f64 (*.f64 (log.f64 x) 1))
x
(log1p.f64 (expm1.f64 x))
x

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	29.0b	(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1138×	`add-sqr-sqrt`
1118×	`*-un-lft-identity`
1066×	`add-cube-cbrt`
1058×	`add-cbrt-cube`
1052×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	1
1	194	1
2	2133	1

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))

Outputs

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

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1130×	`associate-+l-`
1054×	`unswap-sqr`
1038×	`associate-+r-`
654×	`distribute-lft-in`
614×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	98	342
1	241	312
2	1614	312
3	6541	312

Stop Event

1×	node limit

Counts

58 → 52

Calls

Call 1

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

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
x
(+.f64 0 x)
x
(-.f64 x 0)
x
(-.f64 x (/.f64 0 (*.f64 x x)))
x
(-.f64 (+.f64 1 x) 1)
x
(*.f64 x 1)
x
(.f64 x (.f64 x (/.f64 1 x)))
x
(.f64 (.f64 x x) (/.f64 1 x))
x
(*.f64 1 x)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)))
(*.f64 (cbrt.f64 x) (/.f64 x (cbrt.f64 x)))
x
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (/.f64 1 x) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (.f64 x x)) x))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 x 4)) x))
(.f64 (/.f64 1 x) (.f64 x x))
x
(.f64 (pow.f64 x 3) (/.f64 1 (.f64 x x)))
x
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 x)))
x
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (cbrt.f64 (.f64 x x))))
(.f64 (/.f64 1 (.f64 x x)) (pow.f64 x 3))
x
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (.f64 x x) (sqrt.f64 x)))
x
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (*.f64 x x) (cbrt.f64 x)))
(/.f64 (/.f64 (.f64 x x) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(/.f64 (/.f64 x (/.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 x 1) (/.f64 x x))
x
(.f64 (/.f64 (.f64 x x) (*.f64 x x)) x)
x
(.f64 (/.f64 (.f64 x x) 1) (/.f64 1 x))
x
(.f64 (/.f64 (.f64 x x) (*.f64 x (neg.f64 x))) (neg.f64 x))
x
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 x x)) (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (/.f64 1 x) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (.f64 x x)) x))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 x 4)) x))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (.f64 x x)) x))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (/.f64 1 x) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (.f64 x x)) x))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 x 4)) x))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (/.f64 1 x) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (.f64 x x)) x))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 x 4)) x))
(pow.f64 x 1)
x
(pow.f64 (*.f64 x x) 1/2)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (/.f64 1 x) -1)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
x
(sqrt.f64 (*.f64 x x))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(fma.f64 (*.f64 x x) (/.f64 1 x) 0)
x
(fma.f64 1 x 0)
x
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
x
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 0)
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)))

eval68.0ms (1.5%)

Compiler: Compiled 2790 to 1944 computations (30.3% saved)

prune58.0ms (1.3%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	229	8	237
Fresh	0	1	1
Picked	1	0	1
Done	1	4	5
Total	231	13	244

Error

Counts

244 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	29.5b	(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
▶	30.5b	(/.f64 1 (/.f64 1 x))
▶	31.1b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2)))
	31.1b	(/.f64 1 (.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (.f64 x (+.f64 (neg.f64 x) -2)))))
✓	29.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	59.8b	(-.f64 (+.f64 x 1) 1)
✓	31.8b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶	53.1b	(.f64 (pow.f64 x 3) (/.f64 1 (.f64 x x)))
▶	45.6b	(.f64 (/.f64 1 x) (.f64 x x))
✓	31.0b	(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
▶	29.5b	(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
	30.5b	(.f64 x (.f64 x (/.f64 1 x)))
	30.4b	x

Compiler

Compiled 224 to 174 computations (22.3% saved)

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))

Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
0.0ms	x	@	inf	(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
0.0ms	x	@	-inf	(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))

rewrite68.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1932×	`add-sqr-sqrt`
1906×	`*-un-lft-identity`
1790×	`add-cube-cbrt`
1770×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	194	19
2	2448	19

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))

Outputs

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

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1902×	`distribute-lft-in`
1398×	`associate-/r/`
1062×	`associate-r`
998×	`associate-l`
630×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	777
1	243	777
2	786	777
3	4715	777

Stop Event

1×	node limit

Counts

37 → 55

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/4 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x)))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x 2))))) 1)
(/.f64 x (/.f64 (+.f64 x 2) 2))
(/.f64 2 (/.f64 (+.f64 x 2) x))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
(/.f64 (sqrt.f64 (.f64 x 2)) (/.f64 (+.f64 x 2) (sqrt.f64 (.f64 x 2))))
(/.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x 2))))
(/.f64 (.f64 (.f64 x 2) -1) (+.f64 -2 (neg.f64 x)))
(/.f64 (.f64 -1 (.f64 x 2)) (+.f64 -2 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 x 2) 1) (+.f64 x 2))
(/.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
(/.f64 (/.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
(/.f64 (neg.f64 (*.f64 x 2)) (+.f64 -2 (neg.f64 x)))
(pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 2))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 x 2))))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 x (+.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/4 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/4 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/4 (pow.f64 x 3) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/4 (pow.f64 x 3) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/4 (pow.f64 x 3) (fma.f64 -1/8 (pow.f64 x 4) x)))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (/.f64 4 x)))
(+.f64 (+.f64 2 (/.f64 -4 x)) (/.f64 8 (*.f64 x x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (/.f64 -4 x)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(-.f64 (+.f64 2 (/.f64 8 (*.f64 x x))) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (+.f64 2 (/.f64 -4 x)) (/.f64 16 (pow.f64 x 3))))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (+.f64 (/.f64 -4 x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (-.f64 (/.f64 -16 (pow.f64 x 3)) (/.f64 4 x))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (/.f64 4 x)))
(+.f64 (+.f64 2 (/.f64 -4 x)) (/.f64 8 (*.f64 x x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (/.f64 -4 x)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(-.f64 (+.f64 2 (/.f64 8 (*.f64 x x))) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (+.f64 2 (/.f64 -4 x)) (/.f64 16 (pow.f64 x 3))))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (+.f64 (/.f64 -4 x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (-.f64 (/.f64 -16 (pow.f64 x 3)) (/.f64 4 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x 2))))) 1)
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 x (/.f64 (+.f64 x 2) 2))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 2 (/.f64 (+.f64 x 2) x))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 (sqrt.f64 (.f64 x 2)) (/.f64 (+.f64 x 2) (sqrt.f64 (.f64 x 2))))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x 2))))
(/.f64 (cbrt.f64 (.f64 x (.f64 x 4))) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x 2))))
(.f64 (cbrt.f64 (.f64 x 2)) (/.f64 (cbrt.f64 (.f64 x (.f64 x 4))) (+.f64 x 2)))
(/.f64 (.f64 (.f64 x 2) -1) (+.f64 -2 (neg.f64 x)))
(/.f64 (*.f64 x -2) (-.f64 -2 x))
(/.f64 x (/.f64 (-.f64 -2 x) -2))
(*.f64 (/.f64 x (-.f64 -2 x)) -2)
(/.f64 (.f64 -1 (.f64 x 2)) (+.f64 -2 (neg.f64 x)))
(/.f64 (*.f64 x -2) (-.f64 -2 x))
(/.f64 x (/.f64 (-.f64 -2 x) -2))
(*.f64 (/.f64 x (-.f64 -2 x)) -2)
(/.f64 (/.f64 (*.f64 x 2) 1) (+.f64 x 2))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 (/.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 (neg.f64 (*.f64 x 2)) (+.f64 -2 (neg.f64 x)))
(/.f64 (*.f64 x -2) (-.f64 -2 x))
(/.f64 x (/.f64 (-.f64 -2 x) -2))
(*.f64 (/.f64 x (-.f64 -2 x)) -2)
(pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 1)
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))) 2)
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))) 3)
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3) 1/3)
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 2))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 x 2))))))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 x (+.f64 x 2)))) 1))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`associate-r`
908×	`add-sqr-sqrt`
892×	`*-un-lft-identity`
842×	`pow1`
832×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	125	1
2	1227	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-*r/`
1178×	`associate-/r*`
952×	`associate-*l/`
916×	`associate-/l*`
850×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	273
1	241	231
2	805	223
3	3088	223

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	29.1b	(.f64 (/.f64 1 x) (.f64 x x))

Compiler

Compiled 17 to 9 computations (47.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`add-sqr-sqrt`
1062×	`*-un-lft-identity`
998×	`pow1`
992×	`add-cube-cbrt`
976×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	1
2	1766	1

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1600×	`associate-l`
1248×	`*-commutative`
1188×	`associate-*r/`
960×	`associate-/r/`
924×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	87
1	140	87
2	848	75
3	7035	75

Stop Event

1×	node limit

Counts

39 → 30

Calls

Call 1

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

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 x) 1)
x
(/.f64 1 (/.f64 1 x))
x
(/.f64 1 (/.f64 x (*.f64 x x)))
x
(/.f64 x 1)
x
(/.f64 (*.f64 x x) x)
x
(/.f64 (sqrt.f64 x) (pow.f64 x -1/2))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 x (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) x) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 x)))
x
(/.f64 (neg.f64 x) -1)
x
(/.f64 (.f64 (.f64 x x) -1) (neg.f64 x))
x
(/.f64 (.f64 -1 (.f64 x x)) (neg.f64 x))
x
(/.f64 (/.f64 (*.f64 x x) 1) x)
x
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
x
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
x
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))
x
(pow.f64 x 1)
x
(pow.f64 (*.f64 x x) 1/2)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x

localize34.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1 x) (+.f64 x 2))
✓	0.2b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2)))
✓	14.2b	(*.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2))

Compiler

Compiled 42 to 31 computations (26.2% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2))
0.0ms	x	@	inf	(/.f64 (/.f64 1 x) (+.f64 x 2))
0.0ms	x	@	-inf	(/.f64 (/.f64 1 x) (+.f64 x 2))
0.0ms	x	@	0	(/.f64 (/.f64 1 x) (+.f64 x 2))
0.0ms	x	@	0	(*.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2))

rewrite112.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`associate-/l*`
1312×	`associate-/r/`
852×	`associate-/l/`
736×	`distribute-rgt-in`
702×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	87
1	232	69
2	3320	69

Stop Event

1×	node limit

Counts

3 → 348

Calls

Call 1

Inputs
(*.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))

Outputs

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

simplify144.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1634×	`associate-/r*`
1616×	`associate-r`
1358×	`associate-l`
1288×	`*-commutative`
1244×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	853	14950
1	2766	13528

Stop Event

1×	node limit

Counts

384 → 567

Calls

Call 1

Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/4)
(-.f64 (+.f64 (.f64 1/8 x) (.f64 1/2 (/.f64 1 x))) 1/4)
(-.f64 (+.f64 (.f64 -1/16 (pow.f64 x 2)) (+.f64 (.f64 1/8 x) (*.f64 1/2 (/.f64 1 x)))) 1/4)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (.f64 x (+.f64 x 2))) (/.f64 x (.f64 x (+.f64 x 2))))
(+.f64 (/.f64 x (.f64 x (+.f64 x 2))) (/.f64 2 (.f64 x (+.f64 x 2))))
(+.f64 (.f64 (/.f64 x (.f64 x (+.f64 x 2))) 1) (.f64 (/.f64 2 (.f64 x (+.f64 x 2))) 1))
(+.f64 (.f64 (/.f64 2 (.f64 x (+.f64 x 2))) 1) (.f64 (/.f64 x (.f64 x (+.f64 x 2))) 1))
(+.f64 (.f64 1 (.f64 (/.f64 x (.f64 x (+.f64 x 2))) 1)) (.f64 1 (.f64 (/.f64 2 (.f64 x (+.f64 x 2))) 1)))
(+.f64 (.f64 (/.f64 (/.f64 1 x) (+.f64 x -2)) x) (.f64 (/.f64 (/.f64 1 x) (+.f64 x -2)) -2))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3))) (.f64 x x)) (.f64 (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3))) (-.f64 4 (.f64 x 2))))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3))) (-.f64 4 (.f64 x 2))) (.f64 (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3))) (.f64 x x)))
(+.f64 (.f64 (.f64 (/.f64 x (.f64 x (+.f64 x 2))) 1) 1) (.f64 (.f64 (/.f64 2 (.f64 x (+.f64 x 2))) 1) 1))
(+.f64 (.f64 x (/.f64 (/.f64 1 x) (+.f64 x -2))) (.f64 -2 (/.f64 (/.f64 1 x) (+.f64 x -2))))
(+.f64 (.f64 (.f64 x x) (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3)))) (.f64 (-.f64 4 (.f64 x 2)) (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3)))))
(+.f64 (.f64 (-.f64 4 (.f64 x 2)) (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3)))) (.f64 (.f64 x x) (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))))) 1)
(/.f64 1 (*.f64 (/.f64 x (+.f64 x -2)) (+.f64 x -2)))
(/.f64 1 (/.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 1 x)))
(/.f64 1 (/.f64 (cbrt.f64 (.f64 (/.f64 x (+.f64 x -2)) (+.f64 x -2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (.f64 x (+.f64 x 2)))) 2)))
(/.f64 1 (/.f64 (.f64 (.f64 x (+.f64 x 2)) (+.f64 x -2)) (fma.f64 x x -4)))
(/.f64 1 (/.f64 (.f64 (.f64 x (+.f64 x 2)) (fma.f64 x x (-.f64 4 (*.f64 x 2)))) (+.f64 8 (pow.f64 x 3))))
(/.f64 1 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (-.f64 -2 x)) (+.f64 x 2)))
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x 2) (+.f64 x 2)))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) 1))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 -1 (-.f64 -2 x)) (/.f64 -1 (-.f64 -2 x))))
(/.f64 (/.f64 1 x) (/.f64 1 (*.f64 (/.f64 -1 (-.f64 -2 x)) (+.f64 x 2))))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x -2)) (fma.f64 x x -4)))
(/.f64 (/.f64 1 x) (/.f64 (.f64 (+.f64 x 2) (fma.f64 x x (-.f64 4 (.f64 x 2)))) (+.f64 8 (pow.f64 x 3))))
(/.f64 (/.f64 1 x) (*.f64 1 (/.f64 (+.f64 x 2) (+.f64 x 2))))
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(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 1 (.f64 (cbrt.f64 (+.f64 x 2)) x)))
(.f64 (/.f64 1 (fma.f64 x x -4)) (.f64 (/.f64 1 x) (+.f64 x -2)))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 x 3))) (.f64 (/.f64 1 x) (fma.f64 x x (-.f64 4 (*.f64 x 2)))))
(*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -4)) (+.f64 x -2))
(.f64 (/.f64 (/.f64 1 x) (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(*.f64 (/.f64 1 (-.f64 -2 x)) (/.f64 -1 x))
(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 2)) (pow.f64 x -1/2))
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (+.f64 x 2))) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 x 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (+.f64 x 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 -1 (-.f64 -2 x)) 1) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 -1 (-.f64 -2 x)) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (/.f64 -1 (-.f64 -2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (/.f64 (+.f64 x 2) (cbrt.f64 (pow.f64 x -2)))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 x 2))) 2))) (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 x 2))))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 (fma.f64 x x -4))) (neg.f64 (+.f64 x -2)))
(.f64 (/.f64 (/.f64 1 x) (neg.f64 (+.f64 8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 4 (.f64 x 2)))))
(.f64 (/.f64 (/.f64 1 x) (-.f64 4 (.f64 x x))) (-.f64 2 x))
(*.f64 (/.f64 (/.f64 -1 (-.f64 -2 x)) (neg.f64 x)) -1)
(*.f64 (/.f64 (/.f64 -1 x) (neg.f64 (fma.f64 x x -4))) (+.f64 x -2))
(.f64 (/.f64 (/.f64 -1 x) (neg.f64 (+.f64 8 (pow.f64 x 3)))) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (fma.f64 x x -4))) (sqrt.f64 (+.f64 x -2)))
(.f64 (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 8 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 4 (.f64 x 2)))))
(.f64 (/.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) x)) (cbrt.f64 (fma.f64 x x -4))) (cbrt.f64 (+.f64 x -2)))
(.f64 (/.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) x)) (cbrt.f64 (+.f64 8 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2)))))
(pow.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) 3) 1/3)
(pow.f64 (*.f64 x (+.f64 x 2)) -1)
(neg.f64 (/.f64 1 (*.f64 (-.f64 -2 x) x)))
(sqrt.f64 (/.f64 (pow.f64 x -2) (pow.f64 (+.f64 x 2) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 1 x) (+.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) 3))
(cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (+.f64 x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 x 2))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 x 2)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (+.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 x 2))))

Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/4)
(+.f64 (/.f64 1/2 x) -1/4)
(-.f64 (+.f64 (.f64 1/8 x) (.f64 1/2 (/.f64 1 x))) 1/4)
(+.f64 (fma.f64 1/8 x (/.f64 1/2 x)) -1/4)
(-.f64 (+.f64 (.f64 -1/16 (pow.f64 x 2)) (+.f64 (.f64 1/8 x) (*.f64 1/2 (/.f64 1 x)))) 1/4)
(+.f64 (fma.f64 -1/16 (*.f64 x x) (fma.f64 1/8 x (/.f64 1/2 x))) -1/4)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 5))))
(+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 5))))
(+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 5)))))
(+.f64 (/.f64 2 (.f64 x (+.f64 x 2))) (/.f64 x (.f64 x (+.f64 x 2))))
(+.f64 (/.f64 -2 (.f64 x (-.f64 -2 x))) (/.f64 x (.f64 x (+.f64 x 2))))
(+.f64 (/.f64 x (.f64 x (+.f64 x 2))) (/.f64 2 (.f64 x (+.f64 x 2))))
(+.f64 (/.f64 2 (.f64 x (+.f64 x 2))) (/.f64 x (.f64 x (+.f64 x 2))))
(+.f64 (/.f64 -2 (.f64 x (-.f64 -2 x))) (/.f64 x (.f64 x (+.f64 x 2))))
(+.f64 (.f64 (/.f64 x (.f64 x (+.f64 x 2))) 1) (.f64 (/.f64 2 (.f64 x (+.f64 x 2))) 1))
(+.f64 (/.f64 2 (.f64 x (+.f64 x 2))) (/.f64 x (.f64 x (+.f64 x 2))))
(+.f64 (/.f64 -2 (.f64 x (-.f64 -2 x))) (/.f64 x (.f64 x (+.f64 x 2))))
(+.f64 (.f64 (/.f64 2 (.f64 x (+.f64 x 2))) 1) (.f64 (/.f64 x (.f64 x (+.f64 x 2))) 1))
(+.f64 (/.f64 2 (.f64 x (+.f64 x 2))) (/.f64 x (.f64 x (+.f64 x 2))))
(+.f64 (/.f64 -2 (.f64 x (-.f64 -2 x))) (/.f64 x (.f64 x (+.f64 x 2))))
(+.f64 (.f64 1 (.f64 (/.f64 x (.f64 x (+.f64 x 2))) 1)) (.f64 1 (.f64 (/.f64 2 (.f64 x (+.f64 x 2))) 1)))
(+.f64 (/.f64 2 (.f64 x (+.f64 x 2))) (/.f64 x (.f64 x (+.f64 x 2))))
(+.f64 (/.f64 -2 (.f64 x (-.f64 -2 x))) (/.f64 x (.f64 x (+.f64 x 2))))
(+.f64 (.f64 (/.f64 (/.f64 1 x) (+.f64 x -2)) x) (.f64 (/.f64 (/.f64 1 x) (+.f64 x -2)) -2))
(.f64 (/.f64 1 (.f64 x (+.f64 x -2))) (+.f64 x -2))
(/.f64 (/.f64 (-.f64 2 x) (neg.f64 x)) (+.f64 x -2))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3))) (.f64 x x)) (.f64 (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3))) (-.f64 4 (.f64 x 2))))
(.f64 (/.f64 (+.f64 x 2) (.f64 (+.f64 (pow.f64 x 3) 8) x)) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(.f64 (/.f64 (+.f64 x 2) (.f64 x (+.f64 (pow.f64 x 3) 8))) (+.f64 4 (*.f64 x (+.f64 x -2))))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3))) (-.f64 4 (.f64 x 2))) (.f64 (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3))) (.f64 x x)))
(.f64 (/.f64 (+.f64 x 2) (.f64 (+.f64 (pow.f64 x 3) 8) x)) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(.f64 (/.f64 (+.f64 x 2) (.f64 x (+.f64 (pow.f64 x 3) 8))) (+.f64 4 (*.f64 x (+.f64 x -2))))
(+.f64 (.f64 (.f64 (/.f64 x (.f64 x (+.f64 x 2))) 1) 1) (.f64 (.f64 (/.f64 2 (.f64 x (+.f64 x 2))) 1) 1))
(+.f64 (/.f64 2 (.f64 x (+.f64 x 2))) (/.f64 x (.f64 x (+.f64 x 2))))
(+.f64 (/.f64 -2 (.f64 x (-.f64 -2 x))) (/.f64 x (.f64 x (+.f64 x 2))))
(+.f64 (.f64 x (/.f64 (/.f64 1 x) (+.f64 x -2))) (.f64 -2 (/.f64 (/.f64 1 x) (+.f64 x -2))))
(.f64 (/.f64 1 (.f64 x (+.f64 x -2))) (+.f64 x -2))
(/.f64 (/.f64 (-.f64 2 x) (neg.f64 x)) (+.f64 x -2))
(+.f64 (.f64 (.f64 x x) (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3)))) (.f64 (-.f64 4 (.f64 x 2)) (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3)))))
(.f64 (/.f64 (+.f64 x 2) (.f64 (+.f64 (pow.f64 x 3) 8) x)) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(.f64 (/.f64 (+.f64 x 2) (.f64 x (+.f64 (pow.f64 x 3) 8))) (+.f64 4 (*.f64 x (+.f64 x -2))))
(+.f64 (.f64 (-.f64 4 (.f64 x 2)) (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3)))) (.f64 (.f64 x x) (/.f64 (/.f64 (+.f64 x 2) x) (+.f64 8 (pow.f64 x 3)))))
(.f64 (/.f64 (+.f64 x 2) (.f64 (+.f64 (pow.f64 x 3) 8) x)) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(.f64 (/.f64 (+.f64 x 2) (.f64 x (+.f64 (pow.f64 x 3) 8))) (+.f64 4 (*.f64 x (+.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))))) 1)
(/.f64 1 x)
(/.f64 1 (*.f64 (/.f64 x (+.f64 x -2)) (+.f64 x -2)))
(/.f64 1 (*.f64 (+.f64 x -2) (/.f64 x (+.f64 x -2))))
(/.f64 1 (/.f64 (*.f64 x (+.f64 x -2)) (+.f64 x -2)))
(/.f64 1 (/.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 1 x)))
(/.f64 1 x)
(/.f64 1 (/.f64 (cbrt.f64 (.f64 (/.f64 x (+.f64 x -2)) (+.f64 x -2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (.f64 x (+.f64 x 2)))) 2)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (+.f64 x -2) (/.f64 x (+.f64 x -2))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (/.f64 1 (cbrt.f64 (/.f64 (.f64 x (+.f64 x -2)) (+.f64 x -2)))))
(/.f64 1 (/.f64 (.f64 (.f64 x (+.f64 x 2)) (+.f64 x -2)) (fma.f64 x x -4)))
(.f64 (/.f64 1 (.f64 x (*.f64 (+.f64 x 2) (+.f64 x -2)))) (fma.f64 x x -4))
(/.f64 (fma.f64 x x -4) (.f64 x (.f64 (+.f64 x 2) (+.f64 x -2))))
(/.f64 1 (/.f64 (.f64 (.f64 x (+.f64 x 2)) (fma.f64 x x (-.f64 4 (*.f64 x 2)))) (+.f64 8 (pow.f64 x 3))))
(.f64 (/.f64 1 (.f64 x (.f64 (+.f64 x 2) (fma.f64 x x (-.f64 4 (.f64 x 2)))))) (+.f64 (pow.f64 x 3) 8))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 8) x) (.f64 (+.f64 x 2) (+.f64 4 (.f64 x (+.f64 x -2)))))
(/.f64 1 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (neg.f64 (neg.f64 x))))
(/.f64 1 x)
(/.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (-.f64 -2 x)) (+.f64 x 2)))
(/.f64 1 x)
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x 2) (+.f64 x 2)))
(/.f64 1 x)
(/.f64 (/.f64 1 x) (/.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) 1))
(/.f64 1 x)
(/.f64 (/.f64 1 x) (/.f64 (/.f64 -1 (-.f64 -2 x)) (/.f64 -1 (-.f64 -2 x))))
(/.f64 1 x)
(/.f64 (/.f64 1 x) (/.f64 1 (*.f64 (/.f64 -1 (-.f64 -2 x)) (+.f64 x 2))))
(/.f64 1 x)
(/.f64 (/.f64 1 x) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x -2)) (fma.f64 x x -4)))
(.f64 (/.f64 1 (.f64 x (*.f64 (+.f64 x 2) (+.f64 x -2)))) (fma.f64 x x -4))
(/.f64 (fma.f64 x x -4) (.f64 x (.f64 (+.f64 x 2) (+.f64 x -2))))
(/.f64 (/.f64 1 x) (/.f64 (.f64 (+.f64 x 2) (fma.f64 x x (-.f64 4 (.f64 x 2)))) (+.f64 8 (pow.f64 x 3))))
(.f64 (/.f64 1 (.f64 x (.f64 (+.f64 x 2) (fma.f64 x x (-.f64 4 (.f64 x 2)))))) (+.f64 (pow.f64 x 3) 8))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 8) x) (.f64 (+.f64 x 2) (+.f64 4 (.f64 x (+.f64 x -2)))))
(/.f64 (/.f64 1 x) (*.f64 1 (/.f64 (+.f64 x 2) (+.f64 x 2))))
(/.f64 1 x)
(/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2)))
(/.f64 1 x)
(/.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (/.f64 -1 (-.f64 -2 x)))
(/.f64 1 x)
(/.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (/.f64 (/.f64 -1 (-.f64 -2 x)) 1))
(/.f64 1 x)
(/.f64 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))) 1)
(/.f64 1 x)
(/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x 2)))) (/.f64 (/.f64 -1 (-.f64 -2 x)) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x 2))))))
(/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x 2)))) (.f64 (/.f64 -1 (-.f64 -2 x)) (sqrt.f64 (*.f64 x (+.f64 x 2)))))
(/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 2)))) 2) (/.f64 -1 (-.f64 -2 x)))
(/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x 2)))) (/.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 2)))) (+.f64 x 2))))
(/.f64 1 (.f64 (/.f64 1 (.f64 (+.f64 x 2) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x 2)))))) (sqrt.f64 (.f64 x (+.f64 x 2)))))
(/.f64 1 (.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (/.f64 1 (/.f64 (.f64 1 (+.f64 x 2)) (sqrt.f64 (.f64 x (+.f64 x 2)))))))
(/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x 2)))) (/.f64 (sqrt.f64 (.f64 (/.f64 x (+.f64 x -2)) (+.f64 x -2))) (sqrt.f64 (+.f64 x 2))))
(/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x 2)))) (/.f64 (sqrt.f64 (.f64 (+.f64 x -2) (/.f64 x (+.f64 x -2)))) (sqrt.f64 (+.f64 x 2))))
(/.f64 1 (.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (/.f64 (sqrt.f64 (/.f64 (*.f64 x (+.f64 x -2)) (+.f64 x -2))) (sqrt.f64 (+.f64 x 2)))))
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (pow.f64 x -1/2)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) 1))
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -1 (-.f64 -2 x)) (/.f64 (pow.f64 x -1/2) (+.f64 x 2))))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) 1))
(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 x 2) (*.f64 (pow.f64 x -1/2) (+.f64 x 2))))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) 1))
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (sqrt.f64 x)))
(/.f64 (pow.f64 x -1/2) (*.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) 1) (sqrt.f64 x))
(/.f64 (pow.f64 x -1/2) (.f64 (/.f64 -1 (-.f64 -2 x)) (.f64 (+.f64 x 2) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) 1) (sqrt.f64 x))
(/.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (.f64 x (+.f64 x 2)))) (sqrt.f64 (.f64 (/.f64 x (+.f64 x -2)) (+.f64 x -2))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (.f64 x (+.f64 x 2)))) (sqrt.f64 (.f64 (+.f64 x -2) (/.f64 x (+.f64 x -2)))))
(/.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 (*.f64 x (+.f64 x -2)) (+.f64 x -2))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (.f64 x (+.f64 x 2)))) (/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (.f64 x (+.f64 x 2)))))))
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(/.f64 1 (*.f64 x (+.f64 x 2)))
(sqrt.f64 (/.f64 (pow.f64 x -2) (pow.f64 (+.f64 x 2) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 1 x) (+.f64 x 2))))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)))))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) 3))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (+.f64 x 2) 3)))
(cbrt.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 2) 3))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 x 2))))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 x 2)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (+.f64 x 2)))) 1))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 x 2)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 x 2))))
(/.f64 1 (*.f64 x (+.f64 x 2)))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (*.f64 x x))
✓	42.6b	(.f64 (pow.f64 x 3) (/.f64 1 (.f64 x x)))

Compiler

Compiled 25 to 14 computations (44% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1 (*.f64 x x))
0.0ms	x	@	0	(.f64 (pow.f64 x 3) (/.f64 1 (.f64 x x)))
0.0ms	x	@	inf	(.f64 (pow.f64 x 3) (/.f64 1 (.f64 x x)))
0.0ms	x	@	-inf	(.f64 (pow.f64 x 3) (/.f64 1 (.f64 x x)))
0.0ms	x	@	inf	(/.f64 1 (*.f64 x x))

rewrite57.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1412×	`add-sqr-sqrt`
1382×	`*-un-lft-identity`
1306×	`add-cube-cbrt`
1290×	`add-cbrt-cube`
1278×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	191	8
2	2306	8

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(.f64 (pow.f64 x 3) (/.f64 1 (.f64 x x)))
(/.f64 1 (*.f64 x x))

Outputs

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

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

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1172×	`associate--r+`
1040×	`associate--l+`
824×	`associate-+r-`
796×	`associate-+l-`
638×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	585
1	250	387
2	1374	381
3	4699	381

Stop Event

1×	node limit

Counts

73 → 57

Calls

Call 1

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

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (+.f64 1 x) 1)
x
(/.f64 x (/.f64 (.f64 x x) (.f64 x x)))
x
(/.f64 (pow.f64 x 3) (*.f64 x x))
x
(/.f64 1 (/.f64 (*.f64 x x) (pow.f64 x 3)))
x
(/.f64 (.f64 x x) (/.f64 (.f64 x x) x))
x
(/.f64 (pow.f64 x 3/2) (/.f64 (*.f64 x x) (pow.f64 x 3/2)))
x
(/.f64 (*.f64 (pow.f64 x 3) (/.f64 1 x)) x)
x
(/.f64 (.f64 (pow.f64 x 3) -1) (.f64 x (neg.f64 x)))
x
(/.f64 (*.f64 (/.f64 1 x) (pow.f64 x 3)) x)
x
(/.f64 (.f64 -1 (pow.f64 x 3)) (.f64 x (neg.f64 x)))
x
(/.f64 (/.f64 (pow.f64 x 3) x) x)
x
(/.f64 (/.f64 (pow.f64 x 3) 1) (*.f64 x x))
x
(/.f64 (/.f64 (pow.f64 x 3) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(/.f64 (pow.f64 x 3) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (pow.f64 x 3) (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x))))
(/.f64 (neg.f64 (pow.f64 x 3)) (*.f64 x (neg.f64 x)))
x
(pow.f64 x 1)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (*.f64 x x) 1/2)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(sqrt.f64 (*.f64 x x))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) 1))
x
(log1p.f64 (expm1.f64 x))
x
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 1 (pow.f64 x -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 (.f64 x x) -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x x) -2)) (cbrt.f64 (pow.f64 x -2)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 (.f64 x x) -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(.f64 -1 (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (cbrt.f64 (.f64 x x)) -1))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (cbrt.f64 (.f64 x x))))
(/.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4)))
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(sqrt.f64 (pow.f64 (*.f64 x x) -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log.f64 (exp.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (log.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (.f64 (log.f64 (.f64 x x)) -1))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)

eval280.0ms (6%)

Compiler: Compiled 13719 to 10137 computations (26.1% saved)

prune161.0ms (3.5%)

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	741	16	757
Fresh	2	2	4
Picked	1	0	1
Done	0	8	8
Total	744	26	770

Error

Counts

770 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	53.0b	(/.f64 (pow.f64 x 3) (*.f64 x x))
	46.0b	(/.f64 (-.f64 (/.f64 x (.f64 x (+.f64 x 2))) (/.f64 -2 (.f64 x (-.f64 -2 x)))) (-.f64 (.f64 (/.f64 x (.f64 x (+.f64 x 2))) (/.f64 x (.f64 x (+.f64 x 2)))) (/.f64 (/.f64 4 (.f64 x (+.f64 x 2))) (*.f64 x (+.f64 x 2)))))
	52.1b	(/.f64 (*.f64 (pow.f64 x 3) (/.f64 1 x)) x)
	45.6b	(/.f64 (*.f64 x x) x)
	29.5b	(/.f64 2 (/.f64 (+.f64 x 2) x))
	31.1b	(/.f64 1 (/.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (/.f64 -1 (-.f64 -2 x))))
	46.0b	(/.f64 1 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 x (+.f64 x 2))) (/.f64 x (.f64 x (+.f64 x 2)))) (/.f64 (/.f64 4 (.f64 x (+.f64 x 2))) (.f64 x (+.f64 x 2)))) (-.f64 (/.f64 x (.f64 x (+.f64 x 2))) (/.f64 -2 (*.f64 x (-.f64 -2 x))))))
	31.4b	(/.f64 1 (/.f64 (-.f64 4 (.f64 x x)) (.f64 (*.f64 x (+.f64 x 2)) (-.f64 2 x))))
	53.1b	(/.f64 1 (/.f64 (*.f64 x x) (pow.f64 x 3)))
✓	30.5b	(/.f64 1 (/.f64 1 x))
✓	31.1b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2)))
	61.2b	(/.f64 1 (.f64 (/.f64 1 (.f64 x x)) (+.f64 x 2)))
	31.4b	(/.f64 1 (.f64 (.f64 (/.f64 (/.f64 1 x) (-.f64 4 (*.f64 x x))) (-.f64 2 x)) (+.f64 x 2)))
	31.1b	(/.f64 1 (.f64 (.f64 (/.f64 1 (-.f64 -2 x)) (/.f64 -1 x)) (+.f64 x 2)))
✓	29.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	59.8b	(-.f64 (+.f64 x 1) 1)
	60.4b	(-.f64 2 (/.f64 4 x))
✓	31.8b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
	30.5b	(*.f64 (/.f64 (/.f64 -1 (-.f64 -2 x)) (/.f64 1 x)) (+.f64 x 2))
✓	45.6b	(.f64 (/.f64 1 x) (.f64 x x))
	30.5b	(.f64 (-.f64 2 x) (/.f64 x (/.f64 (-.f64 4 (.f64 x x)) (+.f64 x 2))))
✓	31.0b	(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
✓	29.5b	(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
	30.5b	(.f64 x (.f64 x (/.f64 1 x)))
	30.4b	x
	59.8b	2

Compiler

Compiled 367 to 275 computations (25.1% saved)

regimes269.0ms (5.8%)

Counts

31 → 3

Calls

Call 1

Inputs
2
x
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 (*.f64 x x) x)
(.f64 x (.f64 x (/.f64 1 x)))
(.f64 (/.f64 1 x) (.f64 x x))
(/.f64 2 (/.f64 (+.f64 x 2) x))
(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (.f64 (/.f64 1 (.f64 x x)) (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (/.f64 (/.f64 -1 (-.f64 -2 x)) (/.f64 1 x)) (+.f64 x 2))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2)))
(.f64 (-.f64 2 x) (/.f64 x (/.f64 (-.f64 4 (.f64 x x)) (+.f64 x 2))))
(/.f64 1 (.f64 (.f64 (/.f64 1 (-.f64 -2 x)) (/.f64 -1 x)) (+.f64 x 2)))
(/.f64 1 (.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (.f64 x (+.f64 (neg.f64 x) -2)))))
(/.f64 1 (/.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (/.f64 -1 (-.f64 -2 x))))
(/.f64 1 (/.f64 (-.f64 4 (.f64 x x)) (.f64 (*.f64 x (+.f64 x 2)) (-.f64 2 x))))
(/.f64 1 (.f64 (.f64 (/.f64 (/.f64 1 x) (-.f64 4 (*.f64 x x))) (-.f64 2 x)) (+.f64 x 2)))
(/.f64 (-.f64 (/.f64 x (.f64 x (+.f64 x 2))) (/.f64 -2 (.f64 x (-.f64 -2 x)))) (-.f64 (.f64 (/.f64 x (.f64 x (+.f64 x 2))) (/.f64 x (.f64 x (+.f64 x 2)))) (/.f64 (/.f64 4 (.f64 x (+.f64 x 2))) (*.f64 x (+.f64 x 2)))))
(/.f64 1 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 x (+.f64 x 2))) (/.f64 x (.f64 x (+.f64 x 2)))) (/.f64 (/.f64 4 (.f64 x (+.f64 x 2))) (.f64 x (+.f64 x 2)))) (-.f64 (/.f64 x (.f64 x (+.f64 x 2))) (/.f64 -2 (*.f64 x (-.f64 -2 x))))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (pow.f64 x 3) (*.f64 x x))
(.f64 (pow.f64 x 3) (/.f64 1 (.f64 x x)))
(/.f64 1 (/.f64 (*.f64 x x) (pow.f64 x 3)))
(/.f64 (*.f64 (pow.f64 x 3) (/.f64 1 x)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Calls

7 calls:

143.0ms	y
43.0ms	(*.f64 -2 x)
42.0ms	x
8.0ms	(exp.f64 (*.f64 -2 x))
8.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Results

Error	Segments	Branch
0b	3	`x`
19.8b	10	`y`
0b	3	`(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)`
0b	3	`(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))`
0b	3	`(+.f64 1 (exp.f64 (*.f64 -2 x)))`
0b	3	`(exp.f64 (*.f64 -2 x))`
0b	3	`(*.f64 -2 x)`

Compiler

Compiled 417 to 294 computations (29.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00012156035019655773	3.245496788045665
0.0ms	-63626854324.36999	-2.74678734342461e-8

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes52.0ms (1.1%)

Counts

30 → 2

Calls

Call 1

Inputs
2
x
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 (*.f64 x x) x)
(.f64 x (.f64 x (/.f64 1 x)))
(.f64 (/.f64 1 x) (.f64 x x))
(/.f64 2 (/.f64 (+.f64 x 2) x))
(.f64 (.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(.f64 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (.f64 (/.f64 1 (.f64 x x)) (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (/.f64 (/.f64 -1 (-.f64 -2 x)) (/.f64 1 x)) (+.f64 x 2))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2)))
(.f64 (-.f64 2 x) (/.f64 x (/.f64 (-.f64 4 (.f64 x x)) (+.f64 x 2))))
(/.f64 1 (.f64 (.f64 (/.f64 1 (-.f64 -2 x)) (/.f64 -1 x)) (+.f64 x 2)))
(/.f64 1 (.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (.f64 x (+.f64 (neg.f64 x) -2)))))
(/.f64 1 (/.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (/.f64 -1 (-.f64 -2 x))))
(/.f64 1 (/.f64 (-.f64 4 (.f64 x x)) (.f64 (*.f64 x (+.f64 x 2)) (-.f64 2 x))))
(/.f64 1 (.f64 (.f64 (/.f64 (/.f64 1 x) (-.f64 4 (*.f64 x x))) (-.f64 2 x)) (+.f64 x 2)))
(/.f64 (-.f64 (/.f64 x (.f64 x (+.f64 x 2))) (/.f64 -2 (.f64 x (-.f64 -2 x)))) (-.f64 (.f64 (/.f64 x (.f64 x (+.f64 x 2))) (/.f64 x (.f64 x (+.f64 x 2)))) (/.f64 (/.f64 4 (.f64 x (+.f64 x 2))) (*.f64 x (+.f64 x 2)))))
(/.f64 1 (/.f64 (-.f64 (.f64 (/.f64 x (.f64 x (+.f64 x 2))) (/.f64 x (.f64 x (+.f64 x 2)))) (/.f64 (/.f64 4 (.f64 x (+.f64 x 2))) (.f64 x (+.f64 x 2)))) (-.f64 (/.f64 x (.f64 x (+.f64 x 2))) (/.f64 -2 (*.f64 x (-.f64 -2 x))))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (pow.f64 x 3) (*.f64 x x))
(.f64 (pow.f64 x 3) (/.f64 1 (.f64 x x)))
(/.f64 1 (/.f64 (*.f64 x x) (pow.f64 x 3)))
(/.f64 (*.f64 (pow.f64 x 3) (/.f64 1 x)) x)

Outputs
x
(-.f64 2 (/.f64 4 x))

Calls

2 calls:

27.0ms	x
16.0ms	y

Results

Error	Segments	Branch
28.4b	2	`x`
29.5b	1	`y`

Compiler

Compiled 366 to 249 computations (32% saved)

bsearch20.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	1.373393671712305e-8	31813427162.184994

Results

18.0ms

160×

body

256

valid

Compiler

Compiled 137 to 115 computations (16.1% saved)

regimes9.0ms (0.2%)

Accuracy

Total -33.4b remaining (-117.8%)

Threshold costs -33.4b (-117.8%)

Counts

2 → 2

Calls

Call 1

Inputs
2
x

Outputs
x
2

Calls

2 calls:

5.0ms	x
3.0ms	y

Results

Error	Segments	Branch
28.4b	2	`x`
30.4b	1	`y`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch22.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	1.373393671712305e-8	31813427162.184994

Results

21.0ms

160×

body

256

valid

Compiler

Compiled 97 to 85 computations (12.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
6×	`sub-neg`
6×	`*-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	120
1	50	120
2	57	120
3	59	120
4	60	120

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 -2 x) -50000000000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x)))) 1) (if (<=.f64 (.f64 -2 x) 7378697629483821/36893488147419103232) (+.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 x 5/2) x (-.f64 2 (/.f64 4 x)))
(if (<=.f64 x 2) x 2)
2

Outputs
(if (<=.f64 (.f64 -2 x) -50000000000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x)))) 1) (if (<=.f64 (.f64 -2 x) 7378697629483821/36893488147419103232) (+.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (or (<=.f64 (.f64 -2 x) -50000000000) (not (<=.f64 (.f64 -2 x) 7378697629483821/36893488147419103232))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x)))) -1) (+.f64 x (.f64 -1/3 (pow.f64 x 3))))
(if (<=.f64 x 5/2) x (-.f64 2 (/.f64 4 x)))
(if (<=.f64 x 5/2) x (+.f64 2 (/.f64 -4 x)))
(if (<=.f64 x 2) x 2)
2

Compiler

Compiled 55 to 45 computations (18.2% saved)

soundness0.0ms (0%)

end116.0ms (2.5%)

Compiler: Compiled 49 to 39 computations (20.4% saved)

Details

analyze0.0ms (0%)

sample1.5s (33.1%)

preprocess84.0ms (1.8%)

simplify67.0ms (1.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.3%)

series3.0ms (0.1%)

rewrite86.0ms (1.9%)

simplify149.0ms (3.2%)

eval169.0ms (3.6%)

prune36.0ms (0.8%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite59.0ms (1.3%)

simplify62.0ms (1.3%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite52.0ms (1.1%)

simplify38.0ms (0.8%)

eval26.0ms (0.6%)

prune14.0ms (0.3%)

localize40.0ms (0.9%)

series1.0ms (0%)

rewrite61.0ms (1.3%)

simplify41.0ms (0.9%)

localize13.0ms (0.3%)

series1.0ms (0%)

rewrite64.0ms (1.4%)

simplify54.0ms (1.2%)

localize11.0ms (0.2%)

series0.0ms (0%)

rewrite59.0ms (1.3%)

simplify60.0ms (1.3%)

eval68.0ms (1.5%)

prune58.0ms (1.3%)

localize13.0ms (0.3%)

series1.0ms (0%)

rewrite68.0ms (1.5%)

simplify58.0ms (1.2%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite53.0ms (1.1%)

simplify48.0ms (1%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite53.0ms (1.1%)

simplify45.0ms (1%)

localize34.0ms (0.7%)

series2.0ms (0%)

rewrite112.0ms (2.4%)

simplify144.0ms (3.1%)

localize9.0ms (0.2%)

series1.0ms (0%)

rewrite57.0ms (1.2%)

simplify50.0ms (1.1%)

eval280.0ms (6%)

prune161.0ms (3.5%)

regimes269.0ms (5.8%)

bsearch1.0ms (0%)

regimes52.0ms (1.1%)

bsearch20.0ms (0.4%)

regimes9.0ms (0.2%)

bsearch22.0ms (0.5%)

simplify7.0ms (0.1%)

soundness0.0ms (0%)

end116.0ms (2.5%)

Profiling