Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
62.5%	62.5%	37.5%	0%	0%	0%	0%	4
78.6%	68.7%	18.7%	0%	12.5%	0%	0%	5
88.5%	71.8%	9.4%	0%	18.7%	0%	0%	6
94%	73.4%	4.7%	0%	21.9%	0%	0%	7
96.9%	74.2%	2.3%	0%	23.4%	0%	0%	8
98.5%	74.6%	1.2%	0%	24.2%	0%	0%	9
99.2%	75%	0.6%	0%	24.4%	0%	0%	10
99.6%	75.1%	0.3%	0%	24.6%	0%	0%	11
99.8%	75.1%	0.1%	0%	24.7%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.1s (42.2%)

Results

956.0ms	2704×	body	1024	valid
712.0ms	3894×	body	256	valid
315.0ms	1370×	body	512	valid
81.0ms	288×	body	2048	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess5.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best_oopsla_all_46_json_45_simplify-45`
2×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	10	17
2	11	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (+.f64 (exp.f64 x) -1) x)

Compiler

Compiled 8 to 6 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best_oopsla_all_46_json_45_simplify-45`
2×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	10	17
2	11	17

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (+.f64 (exp.f64 x) -1) x)

eval0.0ms (0%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

38.6b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.6b	(/.f64 (-.f64 (exp.f64 x) 1) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.0b	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 15 to 8 computations (46.7% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite96.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`rational_best_oopsla_all_46_json_45_simplify-35`
958×	`rational_best_oopsla_all_46_json_45_simplify-37`
946×	`rational_best_oopsla_all_46_json_45_simplify-13`
932×	`rational_best_oopsla_all_46_json_45_simplify-23`
646×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	38	11
2	83	11
3	256	11
4	1182	11
5	6986	11

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

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

Outputs
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Outputs

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simplify106.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1272×	`rational_best_oopsla_all_46_json_45_simplify-49`
1204×	`rational_best_oopsla_all_46_json_45_simplify-35`
998×	`rational_best_oopsla_all_46_json_45_simplify-23`
936×	`rational_best_oopsla_all_46_json_45_simplify-37`
554×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	1093
1	618	1093
2	5267	1093

Stop Event

1×	node limit

Counts

85 → 91

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 (+.f64 (exp.f64 x) -1) (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) 0))
(+.f64 (+.f64 (exp.f64 x) -1) (.f64 0 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))))
(+.f64 (+.f64 (exp.f64 x) -1) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) 0))
(+.f64 (+.f64 (exp.f64 x) -1) (.f64 0 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (+.f64 (exp.f64 x) -1) (*.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) 0))
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 -1 (exp.f64 x))
(+.f64 (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (.f64 1 (.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (.f64 (.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (.f64 (exp.f64 x) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) -1))
(+.f64 (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) 0) (+.f64 (exp.f64 x) -1))
(+.f64 (.f64 0 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (+.f64 (exp.f64 x) -1))
(+.f64 (.f64 -1 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (exp.f64 x)))
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(+.f64 (.f64 (exp.f64 x) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) -1))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) 0) (+.f64 (exp.f64 x) -1))
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(+.f64 (.f64 1 (.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (.f64 (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (*.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) -1) (.f64 (exp.f64 x) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))))
(+.f64 (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (exp.f64 x)) (.f64 -1 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))))
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(+.f64 (.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) -1) (.f64 (exp.f64 x) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (exp.f64 x)) (.f64 -1 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 1 (+.f64 (exp.f64 x) -1))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))))
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1))))
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))))
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (+.f64 (exp.f64 x) -1))))
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (+.f64 (exp.f64 x) -1))))
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 -1 (-.f64 1 (exp.f64 x)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (.f64 (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (-.f64 (exp.f64 x) (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (+.f64 (exp.f64 x) -1))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))))))
(*.f64 (-.f64 1 (exp.f64 x)) -1)
(*.f64 (-.f64 1 (exp.f64 x)) (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(.f64 (-.f64 1 (exp.f64 x)) (.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(.f64 (-.f64 1 (exp.f64 x)) (neg.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 (-.f64 1 (exp.f64 x)) (-.f64 (/.f64 0 (-.f64 1 (exp.f64 x))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(.f64 (-.f64 1 (exp.f64 x)) (neg.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))))
(.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (+.f64 (exp.f64 x) -1))
(*.f64 (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (+.f64 (exp.f64 x) -1))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1))) (+.f64 (exp.f64 x) -1))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(*.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (-.f64 1 (exp.f64 x)))
(.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (+.f64 (exp.f64 x) -1))
(.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (+.f64 (exp.f64 x) -1))
(.f64 (neg.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (-.f64 1 (exp.f64 x)))
(.f64 (neg.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))))
(/.f64 (-.f64 1 (exp.f64 x)) -1)
(neg.f64 (-.f64 1 (exp.f64 x)))

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) x))
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) 0))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) (.f64 0 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) 0))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) (.f64 0 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) (*.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) 0))
(+.f64 (exp.f64 x) -1)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(+.f64 (exp.f64 x) -1)
(+.f64 (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(+.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
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(/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))))
(+.f64 (exp.f64 x) -1)
(/.f64 (-.f64 1 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(neg.f64 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)

eval74.0ms (1.5%)

Compiler: Compiled 2512 to 1521 computations (39.5% saved)

prune12.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	4	92

Error

Counts

92 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.6b	(/.f64 (-.f64 (exp.f64 x) 1) x)
▶	23.0b	(/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) x)) x)
▶	23.3b	(/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) x)
▶	22.6b	(/.f64 x x)

Compiler

Compiled 37 to 26 computations (29.7% saved)

localize2.0ms (0%)

Compiler: Compiled 5 to 2 computations (60% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 2)
✓	0.0b	(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
✓	10.7b	(/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) x)

Compiler

Compiled 28 to 20 computations (28.6% saved)

series2.0ms (0.1%)

Counts

3 → 15

Calls

9 calls:

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

rewrite86.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`rational_best_oopsla_all_46_json_45_simplify-37`
1306×	`rational_best_oopsla_all_46_json_45_simplify-23`
1262×	`rational_best_oopsla_all_46_json_45_simplify-13`
806×	`rational_best_oopsla_all_46_json-2`
806×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	50	51
2	109	51
3	342	51
4	1643	51

Stop Event

1×	node limit

Counts

3 → 253

Calls

Call 1

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

Outputs
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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 x 2)))))))

simplify282.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1566×	`rational_best_oopsla_all_46_json_45_simplify-13`
1306×	`rational_best_oopsla_all_46_json_45_simplify-87`
664×	`rational_best_oopsla_all_46_json_45_simplify-49`
622×	`rational_best_oopsla_all_46_json_45_simplify-10`
558×	`rational_best_oopsla_all_46_json_45_simplify-37`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	7738
1	2113	7628
2	7470	7560

Stop Event

1×	node limit

Counts

268 → 293

Calls

Call 1

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

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 1/2 x))
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(*.f64 1/2 x)
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(+.f64 1 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
x
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
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(.f64 2 (.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2)))
(.f64 1/2 (.f64 (*.f64 2 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (pow.f64 x 2))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 x 2))) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 (pow.f64 x 2) -1/2) -2)
(.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 -1 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) -1))
(.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 -1 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(*.f64 -1 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))
(pow.f64 x 2)
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 (pow.f64 x 2)) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 2 (.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2)))
(.f64 (.f64 (pow.f64 x 2) -2) -1/2)
(pow.f64 x 2)
(.f64 (+.f64 1 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (*.f64 1/2 (pow.f64 x 2)))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))
(.f64 (+.f64 1 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 1/2 (pow.f64 x 2)))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2)))
(.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 1 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (+.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (.f64 1/2 (pow.f64 x 2)))
(.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 2) (*.f64 1/2 (pow.f64 x 2)))
(.f64 1/2 (.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2)))
(.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (*.f64 1/2 (pow.f64 x 2)))
(.f64 1/2 (.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (+.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 1/2 (pow.f64 x 2)))
(.f64 1/2 (.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (+.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2)))
(.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (+.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (+.f64 1/2 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/2 (pow.f64 x 2)))
(.f64 (+.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 x 2)))) (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/2 (pow.f64 x 2)))
(.f64 (+.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/2 (pow.f64 x 2)))
(.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 x 2)))) (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/2 (pow.f64 x 2)))
(.f64 (.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
(.f64 (.f64 (pow.f64 x 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 x 2))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 x 2) (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 x 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (neg.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (-.f64 0 (*.f64 2 (pow.f64 x 2))))
(.f64 2 (.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2)))
(.f64 1/2 (.f64 (*.f64 2 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))
(pow.f64 x 2)
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2))
(pow.f64 x 2)
(.f64 (neg.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (neg.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(*.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2))
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) (/.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(pow.f64 x 2)
(neg.f64 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
✓	0.1b	(*.f64 1/6 (pow.f64 x 3))
✓	3.3b	(/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) x)) x)
✓	11.5b	(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) x))

Compiler

Compiled 57 to 43 computations (24.6% saved)

series3.0ms (0.1%)

Counts

4 → 27

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) x)) x)
0.0ms	x	@	0	(*.f64 1/6 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) x))

rewrite164.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`rational_best_oopsla_all_46_json-2`
1306×	`rational_best_oopsla_all_46_json-1`
1306×	`rational_best_oopsla_all_46_json-4`
1306×	`rational_best_oopsla_all_46_json-3`
950×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	112
1	80	112
2	173	112
3	535	112
4	2543	112
5	7816	112

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) x))
(/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) x)) x)
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (.f64 (pow.f64 x 3) -1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/6 (pow.f64 x 3)) (-.f64 (.f64 (pow.f64 x 2) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 0 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 0 (/.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/6 (pow.f64 x 3)))) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (.f64 (/.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (.f64 0 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))))) (.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (.f64 0 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))))) (-.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 0 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 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(pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 1 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simplify133.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1508×	`rational_best_oopsla_all_46_json_45_simplify-23`
1400×	`rational_best_oopsla_all_46_json_45_simplify-35`
870×	`rational_best_oopsla_all_46_json_45_simplify-89`
792×	`rational_best_oopsla_all_46_json_45_simplify-37`
744×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	5453
1	1018	5453
2	6398	5353

Stop Event

1×	node limit

Counts

159 → 167

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
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(/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (/.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) x))

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 x 1/2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 x 1/2) (+.f64 1 (.f64 (pow.f64 x 2) 1/6)))
(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 x 1/2) (+.f64 1 (.f64 (pow.f64 x 2) 1/6)))
(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/6)
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/6))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(+.f64 (.f64 x 1/2) (+.f64 1 (.f64 (pow.f64 x 2) 1/6)))
(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(+.f64 (.f64 x 1/2) (+.f64 1 (.f64 (pow.f64 x 2) 1/6)))
(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/6)
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/6))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(+.f64 (.f64 x 1/2) (+.f64 1 (.f64 (pow.f64 x 2) 1/6)))
(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(+.f64 (.f64 x 1/2) (+.f64 1 (.f64 (pow.f64 x 2) 1/6)))
(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
x
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (.f64 (pow.f64 x 3) -1/6) x))
(-.f64 x (-.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 1/2 (pow.f64 x 2))))
(-.f64 (.f64 1/6 (pow.f64 x 3)) (-.f64 (.f64 (pow.f64 x 2) -1/2) x))
(-.f64 x (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (-.f64 x (.f64 (pow.f64 x 2) -1/2)))
(-.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 2) -1/2))
(-.f64 x (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (-.f64 x (.f64 (pow.f64 x 2) -1/2)))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) 0)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(-.f64 0 (-.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))
(-.f64 x (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (-.f64 x (.f64 (pow.f64 x 2) -1/2)))
(-.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 x 3) -1/6))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 x (.f64 (pow.f64 x 3) -1/6)))
(+.f64 x (-.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -1/6)))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) (neg.f64 x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 0 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (*.f64 (pow.f64 x 2) -1/2))
(-.f64 x (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (-.f64 x (.f64 (pow.f64 x 2) -1/2)))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/6 (pow.f64 x 3)))) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (.f64 (/.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (/.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/6 (pow.f64 x 3))) (neg.f64 (*.f64 (pow.f64 x 3) -1/6))))
(-.f64 (+.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (.f64 0 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))))) (*.f64 (pow.f64 x 2) -1/2))
(-.f64 x (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (-.f64 x (.f64 (pow.f64 x 2) -1/2)))
(-.f64 (+.f64 0 (.f64 0 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))))) (-.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(-.f64 x (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (-.f64 x (.f64 (pow.f64 x 2) -1/2)))
(-.f64 (+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 0 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))))) (*.f64 (pow.f64 x 3) -1/6))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 x (.f64 (pow.f64 x 3) -1/6)))
(+.f64 x (-.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -1/6)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) 1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))) (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))) (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))))))
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(.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (/.f64 1 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (/.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (/.f64 (.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (/.f64 1 (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) x) -1)
(-.f64 x (*.f64 (pow.f64 x 3) -1/6))
(.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) x) (neg.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (-.f64 x (.f64 (pow.f64 x 3) -1/6)))
(.f64 (-.f64 x (.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))
(.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/6) x))
(-.f64 x (*.f64 (pow.f64 x 3) -1/6))
(.f64 -1 (.f64 1 (-.f64 (*.f64 (pow.f64 x 3) -1/6) x)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/6))
(.f64 -1 (.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (-.f64 (*.f64 (pow.f64 x 3) -1/6) x)))
(.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (-.f64 x (.f64 (pow.f64 x 3) -1/6)))
(.f64 (-.f64 x (.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))
(.f64 -1 (-.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3))))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(.f64 (neg.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (-.f64 (.f64 (pow.f64 x 3) -1/6) x))
(.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (-.f64 x (.f64 (pow.f64 x 3) -1/6)))
(.f64 (-.f64 x (.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))
(/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) 1)
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (/.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) x))
(-.f64 x (*.f64 (pow.f64 x 3) -1/6))

eval544.0ms (11%)

Compiler: Compiled 15386 to 11548 computations (24.9% saved)

prune118.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	455	5	460
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	458	6	464

Error

Counts

464 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.6b	(/.f64 (-.f64 (exp.f64 x) 1) x)
▶	22.9b	(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
▶	23.1b	(+.f64 (*.f64 1/2 x) 1)
▶	61.8b	(*.f64 (pow.f64 x 2) 1/6)
▶	62.1b	(*.f64 1/2 x)
	22.6b	1

Compiler

Compiled 37 to 30 computations (18.9% saved)

localize2.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	0.2b	(*.f64 (pow.f64 x 2) 1/6)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 (pow.f64 x 2) 1/6)
0.0ms	x	@	0	(*.f64 (pow.f64 x 2) 1/6)
0.0ms	x	@	-inf	(*.f64 (pow.f64 x 2) 1/6)

rewrite55.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`rational_best_oopsla_all_46_json_45_simplify-13`
1162×	`rational_best_oopsla_all_46_json_45_simplify-89`
1014×	`rational_best_oopsla_all_46_json_45_simplify-87`
1006×	`rational_best_oopsla_all_46_json-2`
1006×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	42	13
2	110	13
3	398	13
4	2051	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 2) 1/6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6)) (/.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (*.f64 (/.f64 1/6 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (*.f64 (pow.f64 x 2) (/.f64 (*.f64 1/6 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 0 (*.f64 (pow.f64 x 2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 1 (*.f64 (pow.f64 x 2) 1/6))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (*.f64 (pow.f64 x 2) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 2) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 (pow.f64 x 2) 1/6) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 1/6 (pow.f64 x 2)) (*.f64 (pow.f64 x 2) (neg.f64 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))) (*.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (neg.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 (*.f64 1/6 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2)))) (*.f64 (*.f64 (pow.f64 x 2) (/.f64 (*.f64 1/6 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 1 (*.f64 (pow.f64 x 2) 1/6)))) (*.f64 (*.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 1 (*.f64 (pow.f64 x 2) 1/6))) (*.f64 (pow.f64 x 2) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6)) (/.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6)))) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6)) (/.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6))) (*.f64 (pow.f64 x 2) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)))) (*.f64 (*.f64 (pow.f64 x 2) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6))) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6)) (/.f64 (*.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 1/6 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 1/6 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (*.f64 1/6 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 1/6 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (/.f64 1/6 (pow.f64 x 2)) (/.f64 1/6 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 1/6 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (*.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 1 (*.f64 (pow.f64 x 2) 1/6))) (*.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 1 (*.f64 (pow.f64 x 2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 (*.f64 1/6 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 (*.f64 1/6 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6))) (*.f64 (pow.f64 x 2) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 2) -1/6))))))

simplify98.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational_best_oopsla_all_46_json_45_simplify-89`
1048×	`rational_best_oopsla_all_46_json_45_simplify-74`
1014×	`rational_best_oopsla_all_46_json_45_simplify-24`
808×	`rational_best_oopsla_all_46_json_45_simplify-10`
778×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	1193
1	368	1193
2	1387	1189
3	5759	1189

Stop Event

1×	node limit

Counts

47 → 47

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 2) 1/6) 0)
(+.f64 0 (*.f64 (pow.f64 x 2) 1/6))
(-.f64 (*.f64 (pow.f64 x 2) 1/6) 0)
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 1/6 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) 0))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)) 0))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6)) (/.f64 (.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6))) 0))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (*.f64 (/.f64 1/6 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2))) 0))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (.f64 (pow.f64 x 2) (/.f64 (.f64 1/6 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))) 0))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 0 (.f64 (pow.f64 x 2) 1/6))))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 1 (*.f64 (pow.f64 x 2) 1/6))) 0))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (.f64 (pow.f64 x 2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6))) 0))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (neg.f64 (/.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6))) 0))
(-.f64 0 (*.f64 (pow.f64 x 2) -1/6))
(-.f64 0 (.f64 (.f64 (pow.f64 x 2) 1/6) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(-.f64 0 (.f64 (/.f64 1/6 (pow.f64 x 2)) (.f64 (pow.f64 x 2) (neg.f64 (pow.f64 x 2)))))
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 1/6 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 1/6 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (neg.f64 (pow.f64 x 2))))
(-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 (.f64 1/6 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2)))) (.f64 (.f64 (pow.f64 x 2) (/.f64 (.f64 1/6 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))))
(-.f64 (.f64 0 (.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 1 (.f64 (pow.f64 x 2) 1/6)))) (.f64 (.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 1 (.f64 (pow.f64 x 2) 1/6))) (*.f64 (pow.f64 x 2) -1/6)))
(-.f64 (.f64 0 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6)) (/.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6)))) (.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6)) (/.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6))) (*.f64 (pow.f64 x 2) -1/6)))
(-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)))) (.f64 (.f64 (pow.f64 x 2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6))) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)))
(/.f64 (*.f64 (pow.f64 x 2) 1/6) 1)
(/.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6)))
(/.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6)) (/.f64 (.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6))))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 (pow.f64 x 2) (/.f64 1/6 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 1/6 (pow.f64 x 2)))))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 1/6 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (.f64 1/6 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(/.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (/.f64 1/6 (pow.f64 x 2)) (/.f64 1/6 (pow.f64 x 2))))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 1/6 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 1/6 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 1 (.f64 (pow.f64 x 2) 1/6))) (.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 1 (*.f64 (pow.f64 x 2) 1/6)))))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 (pow.f64 x 2) (/.f64 (.f64 1/6 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))) (.f64 (pow.f64 x 2) (/.f64 (*.f64 1/6 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2)))))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 (pow.f64 x 2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6))) (.f64 (pow.f64 x 2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)))))
(/.f64 (*.f64 (pow.f64 x 2) -1/6) -1)
(neg.f64 (*.f64 (pow.f64 x 2) -1/6))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 x 2) 1/6) 0)
(*.f64 1/6 (pow.f64 x 2))
(+.f64 0 (*.f64 (pow.f64 x 2) 1/6))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 x 2) 1/6) 0)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 1/6 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) 0))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)) 0))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6)) (/.f64 (.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6))) 0))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (*.f64 (/.f64 1/6 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2))) 0))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (.f64 (pow.f64 x 2) (/.f64 (.f64 1/6 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))) 0))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 0 (.f64 (pow.f64 x 2) 1/6))))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 1 (*.f64 (pow.f64 x 2) 1/6))) 0))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (.f64 (pow.f64 x 2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6))) 0))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (neg.f64 (/.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6))) 0))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 0 (*.f64 (pow.f64 x 2) -1/6))
(neg.f64 (*.f64 (pow.f64 x 2) -1/6))
(-.f64 0 (.f64 (.f64 (pow.f64 x 2) 1/6) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 0 (.f64 (/.f64 1/6 (pow.f64 x 2)) (.f64 (pow.f64 x 2) (neg.f64 (pow.f64 x 2)))))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 1/6 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 1/6 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (neg.f64 (pow.f64 x 2))))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 (.f64 1/6 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2)))) (.f64 (.f64 (pow.f64 x 2) (/.f64 (.f64 1/6 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (.f64 0 (.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 1 (.f64 (pow.f64 x 2) 1/6)))) (.f64 (.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 1 (.f64 (pow.f64 x 2) 1/6))) (*.f64 (pow.f64 x 2) -1/6)))
(.f64 (.f64 (.f64 1/6 (pow.f64 x 2)) (/.f64 1 (.f64 1/6 (pow.f64 x 2)))) (neg.f64 (*.f64 (pow.f64 x 2) -1/6)))
(.f64 (.f64 1/6 (.f64 (/.f64 1 (.f64 1/6 (pow.f64 x 2))) (pow.f64 x 2))) (neg.f64 (*.f64 (pow.f64 x 2) -1/6)))
(.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 (.f64 (pow.f64 x 2) 1/3) (/.f64 -1 (*.f64 (pow.f64 x 2) 1/3))))
(-.f64 (.f64 0 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6)) (/.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6)))) (.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6)) (/.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6))) (*.f64 (pow.f64 x 2) -1/6)))
(.f64 (.f64 (/.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 2))) (/.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 2)))) (neg.f64 (*.f64 (pow.f64 x 2) -1/6)))
(-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)))) (.f64 (.f64 (pow.f64 x 2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6))) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)))
(neg.f64 (*.f64 (pow.f64 x 2) -1/6))
(/.f64 (*.f64 (pow.f64 x 2) 1/6) 1)
(*.f64 1/6 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 2))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6)))
(*.f64 1/6 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 1/6 (pow.f64 x 2))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)))
(*.f64 1/6 (pow.f64 x 2))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6)) (/.f64 (.f64 (pow.f64 x 2) 1/6) (*.f64 (pow.f64 x 2) 1/6))))
(/.f64 (.f64 1/6 (pow.f64 x 2)) (/.f64 (/.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 2))) (/.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 2)))))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 (pow.f64 x 2) (/.f64 1/6 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 1/6 (pow.f64 x 2)))))
(*.f64 1/6 (pow.f64 x 2))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 1/6 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (.f64 1/6 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(/.f64 (.f64 1/6 (pow.f64 x 2)) (/.f64 (.f64 1/6 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (.f64 1/6 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(/.f64 (*.f64 (pow.f64 x 2) 1/6) (/.f64 (/.f64 1/6 (pow.f64 x 2)) (/.f64 1/6 (pow.f64 x 2))))
(/.f64 (*.f64 1/6 (pow.f64 x 2)) (/.f64 (/.f64 1/6 (pow.f64 x 2)) (/.f64 1/6 (pow.f64 x 2))))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 1/6 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 1/6 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))))
(*.f64 1/6 (pow.f64 x 2))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 1 (.f64 (pow.f64 x 2) 1/6))) (.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 1 (*.f64 (pow.f64 x 2) 1/6)))))
(/.f64 (.f64 1/6 (pow.f64 x 2)) (/.f64 (.f64 (.f64 1/6 (pow.f64 x 2)) (/.f64 1 (.f64 1/6 (pow.f64 x 2)))) (.f64 (.f64 1/6 (pow.f64 x 2)) (/.f64 1 (*.f64 1/6 (pow.f64 x 2))))))
(/.f64 (.f64 1/6 (pow.f64 x 2)) (/.f64 (.f64 1/6 (.f64 (/.f64 1 (.f64 1/6 (pow.f64 x 2))) (pow.f64 x 2))) (.f64 1/6 (.f64 (/.f64 1 (*.f64 1/6 (pow.f64 x 2))) (pow.f64 x 2)))))
(/.f64 (.f64 1/6 (pow.f64 x 2)) (/.f64 (.f64 (pow.f64 x 2) (.f64 1/6 (/.f64 1 (.f64 1/6 (pow.f64 x 2))))) (.f64 (pow.f64 x 2) (.f64 1/6 (/.f64 1 (*.f64 1/6 (pow.f64 x 2)))))))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 (pow.f64 x 2) (/.f64 (.f64 1/6 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))) (.f64 (pow.f64 x 2) (/.f64 (*.f64 1/6 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2)))))
(*.f64 1/6 (pow.f64 x 2))
(/.f64 (.f64 (pow.f64 x 2) 1/6) (/.f64 (.f64 (pow.f64 x 2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6))) (.f64 (pow.f64 x 2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)))))
(/.f64 (.f64 1/6 (pow.f64 x 2)) (/.f64 (.f64 (pow.f64 x 2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6))) (.f64 (pow.f64 x 2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) -1/6)))))
(/.f64 (*.f64 (pow.f64 x 2) -1/6) -1)
(neg.f64 (*.f64 (pow.f64 x 2) -1/6))
(neg.f64 (*.f64 (pow.f64 x 2) -1/6))

localize5.0ms (0.1%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	0.0b	(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
	0.2b	(*.f64 (pow.f64 x 2) 1/6)

Compiler

Compiled 33 to 26 computations (21.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
0.0ms	x	@	0	(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
0.0ms	x	@	-inf	(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))

rewrite76.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`rational_best_oopsla_all_46_json-2`
1810×	`rational_best_oopsla_all_46_json-1`
1810×	`rational_best_oopsla_all_46_json-4`
1810×	`rational_best_oopsla_all_46_json-3`
844×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	73	31
2	190	31
3	727	31
4	3818	31

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (-.f64 (*.f64 (pow.f64 x 2) -1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/2)) (*.f64 (pow.f64 x 2) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/6) (+.f64 (*.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (*.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1 (+.f64 (*.f64 x 1/2) (*.f64 (pow.f64 x 2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 1/2) (*.f64 (pow.f64 x 2) 1/6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/6)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 x 1/2) (*.f64 (pow.f64 x 2) 1/6)) (/.f64 (+.f64 (+.f64 1 (*.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (*.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/6)))) (*.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 x 1/2)) 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simplify75.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1448×	`rational_best_oopsla_all_46_json_45_simplify-108`
750×	`rational_best_oopsla_all_46_json_45_simplify-72`
706×	`rational_best_oopsla_all_46_json_45_simplify-93`
688×	`rational_best_oopsla_all_46_json_45_simplify-35`
682×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	1423
1	376	1423
2	2970	1423

Stop Event

1×	node limit

Counts

49 → 53

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/6 (pow.f64 x 2))))
(-.f64 (.f64 x 1/2) (-.f64 (.f64 (pow.f64 x 2) -1/6) 1))
(-.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) -1/6))
(-.f64 (.f64 (pow.f64 x 2) 1/6) (+.f64 (.f64 x -1/2) -1))
(-.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) 0)
(-.f64 0 (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/6))))
(-.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/6)) -1)
(-.f64 (+.f64 1 (.f64 (pow.f64 x 2) 1/6)) (.f64 x -1/2))
(-.f64 (.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/6)) (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)))) (.f64 (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))) -1))
(.f64 1 (+.f64 (+.f64 1 (.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/6)))
(.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/6)) 1)
(.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/6))))
(.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)))))
(.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (.f64 (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))) (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)))))
(.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (.f64 1 (.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/6))))))
(.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (.f64 (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))) (.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/6))))))
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(.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (/.f64 (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)))))
(.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (.f64 (.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)))) (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/6)))))
(.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (.f64 (.f64 (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))) (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)))) (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/6)))))
(.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (/.f64 (.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)))) (+.f64 (+.f64 1 (.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/6)))))
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(neg.f64 (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/6))))

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
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(*.f64 1/6 (pow.f64 x 2))
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(.f64 (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/6))) (neg.f64 (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/6)))))
(+.f64 1 (+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2))))
(.f64 (.f64 (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))) (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)))) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)))
(+.f64 1 (+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2))))
(.f64 (neg.f64 (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)))) (-.f64 -1 (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 2) 1/6))))
(+.f64 1 (+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2))))
(/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) 1)
(+.f64 1 (+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2))))
(/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))))
(+.f64 1 (+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2))))
(/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (/.f64 (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))) (/.f64 (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)) (+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6)))))
(+.f64 1 (+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2))))
(neg.f64 (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/6))))
(+.f64 1 (+.f64 (.f64 1/2 x) (.f64 1/6 (pow.f64 x 2))))

eval326.0ms (6.6%)

Compiler: Compiled 14565 to 11770 computations (19.2% saved)

prune88.0ms (1.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	517	0	517
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	517	6	523

Error

Counts

523 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.6b	(/.f64 (-.f64 (exp.f64 x) 1) x)
✓	22.9b	(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
✓	23.1b	(+.f64 (*.f64 1/2 x) 1)
✓	61.8b	(*.f64 (pow.f64 x 2) 1/6)
✓	62.1b	(*.f64 1/2 x)
	22.6b	1

Compiler

Compiled 37 to 30 computations (18.9% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.6b	(/.f64 (-.f64 (exp.f64 x) 1) x)
✓	22.9b	(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
✓	23.1b	(+.f64 (*.f64 1/2 x) 1)
✓	61.8b	(*.f64 (pow.f64 x 2) 1/6)
✓	62.1b	(*.f64 1/2 x)
	22.6b	1

Compiler

Compiled 37 to 30 computations (18.9% saved)

regimes18.0ms (0.4%)

Counts

9 → 2

Calls

Call 1

Inputs
1
(*.f64 1/2 x)
(/.f64 x x)
(+.f64 (*.f64 1/2 x) 1)
(*.f64 (pow.f64 x 2) 1/6)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) x)
(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))
(/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) x)) x)

Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/6))

Calls

2 calls:

11.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

Error	Segments	Branch
0.2b	2	`x`
0.6b	2	`(/.f64 (-.f64 (exp.f64 x) 1) x)`

Compiler

Compiled 68 to 49 computations (27.9% saved)

bsearch18.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-0.9229720883034389	-3.617963034117131e-15

Results

14.0ms

160×

body

256

valid

Compiler

Compiled 221 to 178 computations (19.5% saved)

regimes16.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

Inputs
1
(*.f64 1/2 x)
(/.f64 x x)
(+.f64 (*.f64 1/2 x) 1)
(*.f64 (pow.f64 x 2) 1/6)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) x)

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

Calls

2 calls:

10.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

Error	Segments	Branch
0.3b	2	`x`
0.6b	2	`(/.f64 (-.f64 (exp.f64 x) 1) x)`

Compiler

Compiled 42 to 29 computations (31% saved)

bsearch18.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-0.9229720883034389	-3.617963034117131e-15

Results

15.0ms

160×

body

256

valid

Compiler

Compiled 161 to 128 computations (20.5% saved)

regimes7.0ms (0.1%)

Accuracy

Total -39.9b remaining (-176.4%)

Threshold costs -39.9b (-176.4%)

Counts

5 → 1

Calls

Call 1

Inputs
1
(*.f64 1/2 x)
(/.f64 x x)
(+.f64 (*.f64 1/2 x) 1)
(*.f64 (pow.f64 x 2) 1/6)

Outputs
1

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
22.6b	1	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	97

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 x -760928193040519/4611686018427387904) (/.f64 (-.f64 (exp.f64 x) 1) x) (+.f64 (+.f64 1 (*.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/6)))

(if (<=.f64 x -1682343059522311/295147905179352825856) (/.f64 (-.f64 (exp.f64 x) 1) x) (+.f64 (*.f64 1/2 x) 1))

Outputs

(if (<=.f64 x -760928193040519/4611686018427387904) (/.f64 (-.f64 (exp.f64 x) 1) x) (+.f64 (+.f64 1 (*.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/6)))

(if (<=.f64 x -1682343059522311/295147905179352825856) (/.f64 (-.f64 (exp.f64 x) 1) x) (+.f64 (*.f64 1/2 x) 1))

Compiler

Compiled 40 to 31 computations (22.5% saved)

soundness306.0ms (6.2%)

Algorithm

2×	egg-herbie

Rules

1508×	`rational_best_oopsla_all_46_json_45_simplify-23`
1400×	`rational_best_oopsla_all_46_json_45_simplify-35`
1272×	`rational_best_oopsla_all_46_json_45_simplify-49`
1204×	`rational_best_oopsla_all_46_json_45_simplify-35`
998×	`rational_best_oopsla_all_46_json_45_simplify-23`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	1093
1	618	1093
2	5267	1093
0	272	5453
1	1018	5453
2	6398	5353

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 98 to 78 computations (20.4% saved)

end30.0ms (0.6%)

Compiler: Compiled 38 to 28 computations (26.3% saved)

Details

analyze4.0ms (0.1%)

sample2.1s (42.2%)

preprocess5.0ms (0.1%)

simplify7.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite96.0ms (1.9%)

simplify106.0ms (2.1%)

eval74.0ms (1.5%)

prune12.0ms (0.2%)

localize2.0ms (0%)

localize12.0ms (0.2%)

series2.0ms (0.1%)

rewrite86.0ms (1.7%)

simplify282.0ms (5.7%)

localize22.0ms (0.4%)

series3.0ms (0.1%)

rewrite164.0ms (3.3%)

simplify133.0ms (2.7%)

eval544.0ms (11%)

prune118.0ms (2.4%)

localize2.0ms (0%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite55.0ms (1.1%)

simplify98.0ms (2%)

localize5.0ms (0.1%)

localize13.0ms (0.3%)

series1.0ms (0%)

rewrite76.0ms (1.5%)

simplify75.0ms (1.5%)

eval326.0ms (6.6%)

prune88.0ms (1.8%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes18.0ms (0.4%)

bsearch18.0ms (0.4%)

regimes16.0ms (0.3%)

bsearch18.0ms (0.4%)

regimes7.0ms (0.1%)

simplify3.0ms (0.1%)

soundness306.0ms (6.2%)

end30.0ms (0.6%)

Profiling