Details

analyze4.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.7%	50.3%	0%	0%	0%	0
0%	0%	49.7%	50.3%	0%	0%	0%	1
0%	0%	49.7%	50.3%	0%	0%	0%	2
50%	24.8%	24.8%	50.3%	0%	0%	0%	3
75%	37.3%	12.4%	50.3%	0%	0%	0%	4
87.5%	43.5%	6.2%	50.3%	0%	0%	0%	5
93.8%	46.6%	3.1%	50.3%	0%	0%	0%	6
96.9%	48.1%	1.6%	50.3%	0%	0%	0%	7
98.4%	48.9%	0.8%	50.3%	0%	0%	0%	8
99.2%	49.3%	0.4%	50.3%	0%	0%	0%	9
99.6%	49.5%	0.2%	50.3%	0%	0%	0%	10
99.8%	49.6%	0.1%	50.3%	0%	0%	0%	11
99.9%	49.6%	0%	50.3%	0%	0%	0%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample9.9s (74.4%)

Results

7.8s	4079×	body	2048	valid
1.2s	2134×	body	1024	valid
420.0ms	1057×	body	512	valid
224.0ms	218×	body	4096	valid
212.0ms	768×	body	256	valid

Bogosity

preprocess5.0ms (0%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

Outputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

60.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	60.2b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (tan.f64 x))
✓	2.9b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite123.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`rational_best_oopsla_all_46_json_45_simplify-13`
1326×	`rational_best_oopsla_all_46_json_45_simplify-37`
1248×	`rational_best_oopsla_all_46_json_45_simplify-23`
892×	`rational_best_oopsla_all_46_json_45_simplify-87`
866×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	46	34
2	100	34
3	331	34
4	1573	34

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs
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simplify180.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1296×	`rational_best_oopsla_all_46_json_45_simplify-23`
948×	`rational_best_oopsla_all_46_json_45_simplify-35`
934×	`rational_best_oopsla_all_46_json_45_simplify-13`
902×	`rational_best_oopsla_all_46_json_45_simplify-89`
834×	`rational_best_oopsla_all_46_json_45_simplify-87`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	253	2827
1	1046	2563
2	6757	2563

Stop Event

1×	node limit

Counts

135 → 137

Calls

Call 1

Inputs
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (+.f64 (.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (.f64 1/3 x) (+.f64 (.f64 2/945 (pow.f64 x 5)) (+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (/.f64 1 x)))
(+.f64 (.f64 -2/945 (pow.f64 x 5)) (+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 1 (tan.f64 x))))
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(+.f64 (.f64 (/.f64 1 x) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (neg.f64 (/.f64 1 (tan.f64 x)))))
(+.f64 (.f64 (/.f64 1 x) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (.f64 1 (*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (neg.f64 (/.f64 1 (tan.f64 x))))))
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(.f64 (/.f64 1 (tan.f64 x)) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x)))))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 1 (tan.f64 x))))))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 1 (tan.f64 x)))) (/.f64 1 (tan.f64 x)))))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (/.f64 1 (tan.f64 x)))))
(*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (+.f64 0 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))))))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (+.f64 0 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))))))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 1 (tan.f64 x)))) (/.f64 1 (tan.f64 x)))
(*.f64 (neg.f64 (/.f64 1 (tan.f64 x))) -1)
(*.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (neg.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))))
(*.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (-.f64 (/.f64 0 (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))))
(.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (-.f64 0 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 1 (tan.f64 x))))))
(.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (-.f64 0 (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
(*.f64 -1 (neg.f64 (/.f64 1 (tan.f64 x))))
(.f64 (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (/.f64 1 (tan.f64 x)))
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(.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (neg.f64 (/.f64 1 (tan.f64 x))))
(.f64 (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 1 (tan.f64 x))))) (/.f64 1 (tan.f64 x)))
(.f64 (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (/.f64 1 (tan.f64 x)))
(.f64 (neg.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 1 (tan.f64 x))))) (neg.f64 (/.f64 1 (tan.f64 x))))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (neg.f64 (/.f64 1 (tan.f64 x))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (/.f64 1 (tan.f64 x)))
(neg.f64 (neg.f64 (/.f64 1 (tan.f64 x))))

Outputs
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (+.f64 (.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (.f64 1/3 x) (+.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))
(+.f64 (.f64 1/45 (pow.f64 x 3)) (+.f64 (.f64 2/945 (pow.f64 x 5)) (*.f64 1/3 x)))
(+.f64 (.f64 1/3 x) (+.f64 (.f64 2/945 (pow.f64 x 5)) (+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 1/4725 (pow.f64 x 7)))))
(+.f64 (.f64 1/3 x) (+.f64 (.f64 1/45 (pow.f64 x 3)) (+.f64 (.f64 2/945 (pow.f64 x 5)) (.f64 1/4725 (pow.f64 x 7)))))
(+.f64 (.f64 2/945 (pow.f64 x 5)) (+.f64 (.f64 1/45 (pow.f64 x 3)) (+.f64 (.f64 1/3 x) (.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
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(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
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(/.f64 1 x)
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(+.f64 (/.f64 1 x) (*.f64 x -1/3))
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(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
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(*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 1 (tan.f64 x)))))
(/.f64 1 (tan.f64 x))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))))
(/.f64 1 (tan.f64 x))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x)))))
(/.f64 1 (tan.f64 x))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 1 (tan.f64 x))))))
(/.f64 1 (tan.f64 x))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
(/.f64 1 (tan.f64 x))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 1 (tan.f64 x)))) (/.f64 1 (tan.f64 x)))))
(/.f64 1 (tan.f64 x))
(.f64 (/.f64 1 (tan.f64 x)) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (/.f64 1 (tan.f64 x)))))
(/.f64 1 (tan.f64 x))
(*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(/.f64 1 (tan.f64 x))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
(/.f64 1 (tan.f64 x))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
(/.f64 1 (tan.f64 x))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (+.f64 0 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))))))
(/.f64 1 (tan.f64 x))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (+.f64 0 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))))))
(/.f64 1 (tan.f64 x))
(.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
(/.f64 1 (tan.f64 x))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 1 (tan.f64 x)))) (/.f64 1 (tan.f64 x)))
(/.f64 1 (tan.f64 x))
(*.f64 (neg.f64 (/.f64 1 (tan.f64 x))) -1)
(/.f64 1 (tan.f64 x))
(*.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (neg.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))))
(/.f64 1 (tan.f64 x))
(*.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (-.f64 (/.f64 0 (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))))
(/.f64 1 (tan.f64 x))
(.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (-.f64 0 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 1 (tan.f64 x))))))
(/.f64 1 (tan.f64 x))
(.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (-.f64 0 (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))))
(/.f64 1 (tan.f64 x))
(*.f64 -1 (neg.f64 (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))
(.f64 (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (/.f64 1 (tan.f64 x)))
(/.f64 1 (tan.f64 x))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 1 (tan.f64 x)))) (/.f64 1 (tan.f64 x)))
(/.f64 1 (tan.f64 x))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))
(.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (neg.f64 (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))
(.f64 (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 1 (tan.f64 x))))) (/.f64 1 (tan.f64 x)))
(/.f64 1 (tan.f64 x))
(.f64 (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (*.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (/.f64 1 (tan.f64 x)))
(/.f64 1 (tan.f64 x))
(.f64 (neg.f64 (.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (/.f64 1 (tan.f64 x))))) (neg.f64 (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (neg.f64 (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))) (/.f64 1 (tan.f64 x)))
(/.f64 1 (tan.f64 x))
(neg.f64 (neg.f64 (/.f64 1 (tan.f64 x))))
(/.f64 1 (tan.f64 x))

eval60.0ms (0.5%)

Compiler: Compiled 4180 to 2793 computations (33.2% saved)

prune18.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	2	138

Error

0.3b

Counts

138 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
▶	0.5b	(*.f64 1/3 x)

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 1/3 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`rational_best_oopsla_all_46_json_45_simplify-35`
856×	`rational_best_oopsla_all_46_json_45_simplify-23`
814×	`rational_best_oopsla_all_46_json_45_simplify-37`
784×	`rational_best_oopsla_all_46_json_45_simplify-13`
660×	`rational_best_oopsla_all_46_json_45_simplify-93`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	29	7
2	70	7
3	222	7
4	1023	7
5	5902	7

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(*.f64 1/3 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 x) (.f64 0 (.f64 x (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 x) (.f64 0 (.f64 (.f64 1/3 x) (/.f64 1 (.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 x) (.f64 0 (.f64 (/.f64 x x) (.f64 1/3 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 x) (.f64 0 (.f64 (/.f64 (.f64 1/3 x) (.f64 1/3 x)) (/.f64 (.f64 1/3 x) (.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 (.f64 1/3 x) (/.f64 1 (.f64 1/3 x)))) (.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 (/.f64 x x) (.f64 1/3 (/.f64 x x)))) (.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 (/.f64 (.f64 1/3 x) (.f64 1/3 x)) (/.f64 (.f64 1/3 x) (.f64 1/3 x)))) (.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/3 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 0 (.f64 (.f64 1/3 x) (/.f64 1 (.f64 1/3 x)))) (.f64 (.f64 (.f64 1/3 x) (/.f64 1 (.f64 1/3 x))) (.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 0 (.f64 (/.f64 x x) (.f64 1/3 (/.f64 x x)))) (.f64 (.f64 (/.f64 x x) (.f64 1/3 (/.f64 x x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 0 (.f64 (/.f64 (.f64 1/3 x) (.f64 1/3 x)) (/.f64 (.f64 1/3 x) (.f64 1/3 x)))) (.f64 (.f64 (/.f64 (.f64 1/3 x) (.f64 1/3 x)) (/.f64 (.f64 1/3 x) (.f64 1/3 x))) (.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 x) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 x) (/.f64 (.f64 1/3 x) (.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 x) (/.f64 (/.f64 x x) (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 x) (/.f64 (/.f64 (.f64 1/3 x) (.f64 1/3 x)) (/.f64 (.f64 1/3 x) (.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 x) (/.f64 (.f64 1/3 (/.f64 x x)) (.f64 1/3 (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 x) (/.f64 (.f64 (/.f64 x x) (.f64 1/3 (/.f64 x x))) (.f64 (/.f64 x x) (.f64 1/3 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 x) (/.f64 (.f64 x (/.f64 1/3 x)) (.f64 x (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 x) (/.f64 (.f64 (.f64 1/3 x) (/.f64 1 (.f64 1/3 x))) (.f64 (.f64 1/3 x) (/.f64 1 (.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x -1/3))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) (*.f64 0 (*.f64 x (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) (*.f64 0 (*.f64 (*.f64 1/3 x) (/.f64 1 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) (*.f64 0 (*.f64 (/.f64 x x) (*.f64 1/3 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) (*.f64 0 (*.f64 (/.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (/.f64 (*.f64 1/3 x) (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 x (/.f64 1/3 x))) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (*.f64 1/3 x) (/.f64 1 (*.f64 1/3 x)))) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 x x) (*.f64 1/3 (/.f64 x x)))) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (/.f64 (*.f64 1/3 x) (*.f64 1/3 x)))) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 x (/.f64 1/3 x))) (*.f64 (*.f64 x (/.f64 1/3 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (*.f64 1/3 x) (/.f64 1 (*.f64 1/3 x)))) (*.f64 (*.f64 (*.f64 1/3 x) (/.f64 1 (*.f64 1/3 x))) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 x x) (*.f64 1/3 (/.f64 x x)))) (*.f64 (*.f64 (/.f64 x x) (*.f64 1/3 (/.f64 x x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (/.f64 (*.f64 1/3 x) (*.f64 1/3 x)))) (*.f64 (*.f64 (/.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (/.f64 (*.f64 1/3 x) (*.f64 1/3 x))) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) (/.f64 (*.f64 1/3 x) (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) (/.f64 (/.f64 x x) (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) (/.f64 (/.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (/.f64 (*.f64 1/3 x) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) (/.f64 (*.f64 1/3 (/.f64 x x)) (*.f64 1/3 (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) (/.f64 (*.f64 (/.f64 x x) (*.f64 1/3 (/.f64 x x))) (*.f64 (/.f64 x x) (*.f64 1/3 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) (/.f64 (*.f64 x (/.f64 1/3 x)) (*.f64 x (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 x) (/.f64 (*.f64 (*.f64 1/3 x) (/.f64 1 (*.f64 1/3 x))) (*.f64 (*.f64 1/3 x) (/.f64 1 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x -1/3))))))

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1410×	`rational_best_oopsla_all_46_json_45_simplify-13`
1218×	`rational_best_oopsla_all_46_json_45_simplify-49`
1172×	`rational_best_oopsla_all_46_json_45_simplify-7`
794×	`rational_best_oopsla_all_46_json_45_simplify-89`
614×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	189
1	195	189
2	856	189
3	4149	189

Stop Event

1×	node limit

Counts

27 → 28

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 3)
✓	0.1b	(*.f64 1/45 (pow.f64 x 3))
	0.3b	(*.f64 1/3 x)

Compiler

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 x 3)
0.0ms	x	@	0	(*.f64 1/45 (pow.f64 x 3))
0.0ms	x	@	inf	(pow.f64 x 3)
0.0ms	x	@	inf	(*.f64 1/45 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 1/45 (pow.f64 x 3))

rewrite124.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`rational_best_oopsla_all_46_json_45_simplify-35`
1008×	`rational_best_oopsla_all_46_json_45_simplify-23`
954×	`rational_best_oopsla_all_46_json_45_simplify-37`
928×	`rational_best_oopsla_all_46_json_45_simplify-13`
672×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	39	20
2	86	20
3	264	20
4	1206	20
5	6970	20

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs
(*.f64 1/45 (pow.f64 x 3))
(pow.f64 x 3)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (*.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (*.f64 0 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (*.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (*.f64 0 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (*.f64 (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) 0) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (pow.f64 x 3) 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simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1380×	`rational_best_oopsla_all_46_json_45_simplify-49`
1200×	`rational_best_oopsla_all_46_json_45_simplify-72`
736×	`rational_best_oopsla_all_46_json_45_simplify-23`
706×	`rational_best_oopsla_all_46_json_45_simplify-93`
586×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	1383
1	677	1359
2	3366	1355

Stop Event

1×	node limit

Counts

111 → 117

Calls

Call 1

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

Outputs
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(*.f64 1/45 (pow.f64 x 3))
(+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 1/45 (/.f64 (pow.f64 x 3) (pow.f64 x 3)))) 0))
(*.f64 1/45 (pow.f64 x 3))
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(*.f64 1/45 (pow.f64 x 3))
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(*.f64 1/45 (pow.f64 x 3))
(+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 (*.f64 (pow.f64 x 3) (/.f64 1/45 (pow.f64 x 3))) 0))
(*.f64 1/45 (pow.f64 x 3))
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(*.f64 1/45 (pow.f64 x 3))
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(*.f64 1/45 (pow.f64 x 3))
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(*.f64 1/45 (pow.f64 x 3))
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(pow.f64 x 3)
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(pow.f64 x 3)
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(pow.f64 x 3)
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(pow.f64 x 3)
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(.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) (/.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (pow.f64 x 3))))
(pow.f64 x 3)
(*.f64 (pow.f64 x 3) (neg.f64 (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))
(pow.f64 x 3)
(.f64 (pow.f64 x 3) (.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))) (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(pow.f64 x 3)
(.f64 (pow.f64 x 3) (.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))) (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(pow.f64 x 3)
(.f64 (pow.f64 x 3) (.f64 (*.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (pow.f64 x 3))) (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(pow.f64 x 3)
(*.f64 1 (pow.f64 x 3))
(pow.f64 x 3)
(*.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (pow.f64 x 3))
(pow.f64 x 3)
(.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 x 3) (/.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))
(pow.f64 x 3)
(.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (neg.f64 (pow.f64 x 3)) (/.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))
(pow.f64 x 3)
(.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 x 3) (/.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))
(pow.f64 x 3)
(.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (neg.f64 (pow.f64 x 3)) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3))))))
(*.f64 (neg.f64 (pow.f64 x 3)) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))
(.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 x 3)))) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))
(pow.f64 x 3)
(*.f64 (neg.f64 (pow.f64 x 3)) -1)
(pow.f64 x 3)
(*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(pow.f64 x 3)
(.f64 (neg.f64 (pow.f64 x 3)) (.f64 (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(pow.f64 x 3)
(.f64 (neg.f64 (pow.f64 x 3)) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(pow.f64 x 3)
(*.f64 (neg.f64 (pow.f64 x 3)) (-.f64 (/.f64 0 (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(pow.f64 x 3)
(.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))))
(pow.f64 x 3)
(.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))
(pow.f64 x 3)
(.f64 (.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (pow.f64 x 3))
(pow.f64 x 3)
(.f64 (.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (.f64 (pow.f64 x 3) (/.f64 (.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))))))
(pow.f64 x 3)
(*.f64 -1 (neg.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (pow.f64 x 3))
(pow.f64 x 3)
(*.f64 (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (pow.f64 x 3))
(pow.f64 x 3)
(.f64 (.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (pow.f64 x 3))) (pow.f64 x 3))
(pow.f64 x 3)
(.f64 (.f64 (pow.f64 x 3) (/.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 x 3)))) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))
(pow.f64 x 3)
(*.f64 (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (neg.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))) (pow.f64 x 3))
(pow.f64 x 3)
(.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))) (pow.f64 x 3))
(pow.f64 x 3)
(.f64 (neg.f64 (.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))) (neg.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(.f64 (neg.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))) (neg.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(*.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)))) (pow.f64 x 3))
(pow.f64 x 3)
(/.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))
(pow.f64 x 3)
(/.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(pow.f64 x 3)
(/.f64 (pow.f64 x 3) (/.f64 (.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))))
(pow.f64 x 3)
(/.f64 (neg.f64 (pow.f64 x 3)) -1)
(pow.f64 x 3)
(neg.f64 (neg.f64 (pow.f64 x 3)))
(pow.f64 x 3)

eval81.0ms (0.6%)

Compiler: Compiled 3828 to 2960 computations (22.7% saved)

prune22.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	172	3	175

Error

0.3b

Counts

175 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)))
✓	0.3b	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
✓	0.5b	(*.f64 1/3 x)

Compiler

Compiled 31 to 23 computations (25.8% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (/.f64 1/3 x))
✓	0.3b	(.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x))
✓	0.4b	(/.f64 1/3 x)

Compiler

Compiled 45 to 28 computations (37.8% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`rational_best_oopsla_all_46_json_45_simplify-102`
742×	`rational_best_oopsla_all_46_json_45_simplify-35`
710×	`rational_best_oopsla_all_46_json_45_simplify-108`
658×	`rational_best_oopsla_all_46_json_45_simplify-23`
646×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	43
1	61	43
2	218	43
3	1145	43
4	4962	31

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 1/3)) (*.f64 0 (/.f64 (*.f64 x 1/3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 1/3)) (*.f64 0 (*.f64 (*.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (*.f64 x (/.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 1/3)) (*.f64 0 (*.f64 (/.f64 (*.f64 x (/.f64 1/3 x)) (*.f64 x (/.f64 1/3 x))) (*.f64 x (neg.f64 (/.f64 (*.f64 x (/.f64 1/3 x)) (*.f64 x (/.f64 1/3 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 1/3)) (*.f64 0 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 1/3)) (-.f64 (*.f64 0 (/.f64 (*.f64 x 1/3) (*.f64 x 1/3))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 1/3)) (-.f64 (*.f64 0 (*.f64 (*.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (*.f64 x (/.f64 1/3 x))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 1/3)) (-.f64 (*.f64 0 (*.f64 (/.f64 (*.f64 x (/.f64 1/3 x)) (*.f64 x (/.f64 1/3 x))) (*.f64 x (neg.f64 (/.f64 (*.f64 x (/.f64 1/3 x)) (*.f64 x (/.f64 1/3 x))))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 1/3)) (+.f64 (*.f64 0 (/.f64 (*.f64 x 1/3) (*.f64 x 1/3))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 1/3)) (+.f64 (*.f64 0 (*.f64 (*.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (*.f64 x (/.f64 1/3 x))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 1/3)) (+.f64 (*.f64 0 (*.f64 (/.f64 (*.f64 x (/.f64 1/3 x)) (*.f64 x (/.f64 1/3 x))) (*.f64 x (neg.f64 (/.f64 (*.f64 x (/.f64 1/3 x)) (*.f64 x (/.f64 1/3 x))))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 1/3)) (+.f64 (*.f64 0 (*.f64 x (neg.f64 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 1/3)) (-.f64 (*.f64 0 (*.f64 x (neg.f64 x))) 0))))) 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simplify147.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

998×	`rational_best_oopsla_all_46_json_45_simplify-10`
970×	`rational_best_oopsla_all_46_json_45_simplify-72`
852×	`rational_best_oopsla_all_46_json_45_simplify-49`
654×	`rational_best_oopsla_all_46_json_45_simplify-7`
426×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	2550
1	657	2550
2	2794	2480
3	7145	2466

Stop Event

1×	node limit

Counts

142 → 130

Calls

Call 1

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

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

eval147.0ms (1.1%)

Compiler: Compiled 5318 to 3593 computations (32.4% saved)

prune24.0ms (0.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	172	4	176
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	173	6	179

Error

0.2b

Counts

179 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (.f64 (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (neg.f64 (*.f64 (/.f64 1/3 x) (neg.f64 x)))))
▶	0.7b	(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 1/3 x) (.f64 x 1/3))))))
▶	28.4b	(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 1/3 x) (.f64 x x))))
▶	0.5b	(-.f64 (.f64 0 1/3) (.f64 (*.f64 x (/.f64 1/3 x)) (neg.f64 x)))
✓	0.3b	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
✓	0.5b	(*.f64 1/3 x)

Compiler

Compiled 102 to 74 computations (27.5% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x (/.f64 1/3 x))
	0.3b	(.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x))
	0.4b	(/.f64 1/3 x)

Compiler

Compiled 37 to 24 computations (35.1% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x (/.f64 1/3 x))
	0.4b	(/.f64 1/3 x)
✓	28.2b	(.f64 (/.f64 1/3 x) (.f64 x x))

Compiler

Compiled 53 to 31 computations (41.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`rational_best_oopsla_all_46_json-2`
1468×	`rational_best_oopsla_all_46_json-1`
1468×	`rational_best_oopsla_all_46_json-4`
1468×	`rational_best_oopsla_all_46_json-3`
1052×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	50	19
2	187	19
3	823	7
4	3487	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 0 (/.f64 (*.f64 x 1/3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 0 (*.f64 (/.f64 1/3 x) (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 0 (*.f64 (/.f64 (/.f64 1/3 x) (/.f64 1/3 x)) (*.f64 (*.f64 x x) (/.f64 (/.f64 1/3 x) (/.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 0 (*.f64 (/.f64 1/3 x) (/.f64 (*.f64 x x) (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (*.f64 x 1/3) (*.f64 x 1/3))) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 1/3 x) (/.f64 x x))) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 1/3 x) (/.f64 1/3 x)) (*.f64 (*.f64 x x) (/.f64 (/.f64 1/3 x) (/.f64 1/3 x))))) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 1/3 x) (/.f64 (*.f64 x x) (/.f64 1/3 x)))) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (/.f64 (*.f64 x 1/3) (*.f64 x 1/3))) (*.f64 (/.f64 (*.f64 x 1/3) (*.f64 x 1/3)) (neg.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 1/3 x) (/.f64 x x))) (*.f64 (*.f64 (/.f64 1/3 x) (/.f64 x x)) (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) (/.f64 (/.f64 1/3 x) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) (/.f64 (*.f64 x 1/3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) (/.f64 (*.f64 x (/.f64 1/3 x)) (*.f64 x (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) (/.f64 (/.f64 (/.f64 1/3 x) (/.f64 1/3 x)) (/.f64 (/.f64 1/3 x) (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) (/.f64 (*.f64 (*.f64 x x) (/.f64 (/.f64 1/3 x) (/.f64 1/3 x))) (*.f64 (*.f64 x x) (/.f64 (/.f64 1/3 x) (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) (/.f64 (/.f64 (*.f64 x 1/3) (*.f64 x 1/3)) (/.f64 (*.f64 x 1/3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) (/.f64 (*.f64 (/.f64 (/.f64 1/3 x) (/.f64 1/3 x)) (*.f64 (*.f64 x x) (/.f64 (/.f64 1/3 x) (/.f64 1/3 x)))) (*.f64 (/.f64 (/.f64 1/3 x) (/.f64 1/3 x)) (*.f64 (*.f64 x x) (/.f64 (/.f64 1/3 x) (/.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) (/.f64 (*.f64 (/.f64 1/3 x) (/.f64 x x)) (*.f64 (/.f64 1/3 x) (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) (/.f64 (*.f64 (/.f64 1/3 x) (/.f64 (*.f64 x x) (/.f64 1/3 x))) (*.f64 (/.f64 1/3 x) (/.f64 (*.f64 x x) (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 x 1/3)))))))

simplify134.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1416×	`rational_best_oopsla_all_46_json_45_simplify-10`
1092×	`rational_best_oopsla_all_46_json_45_simplify-49`
1028×	`rational_best_oopsla_all_46_json_45_simplify-7`
680×	`rational_best_oopsla_all_46_json_45_simplify-89`
546×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	506
1	194	506
2	808	506
3	3703	506
4	7574	506

Stop Event

1×	node limit

Counts

38 → 35

Calls

Call 1

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

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

localize64.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 1/3 x) (.f64 x 1/3))))
✓	0.4b	(/.f64 (neg.f64 x) (*.f64 x (/.f64 1/3 x)))
	0.4b	(/.f64 1/3 x)
✓	0.5b	(.f64 (/.f64 1/3 x) (.f64 x 1/3))

Compiler

Compiled 108 to 72 computations (33.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`rational_best_oopsla_all_46_json_45_simplify-89`
1036×	`rational_best_oopsla_all_46_json_45_simplify-13`
994×	`rational_best_oopsla_all_46_json_45_simplify-37`
940×	`rational_best_oopsla_all_46_json_45_simplify-23`
854×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	93
1	95	93
2	340	93
3	1754	89

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

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

Outputs

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simplify179.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1566×	`rational_best_oopsla_all_46_json_45_simplify-37`
1520×	`rational_best_oopsla_all_46_json_45_simplify-13`
872×	`rational_best_oopsla_all_46_json_45_simplify-49`
742×	`rational_best_oopsla_all_46_json_45_simplify-7`
614×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	5857
1	804	5851
2	3260	5847

Stop Event

1×	node limit

Counts

149 → 198

Calls

Call 1

Inputs
1/9
1/9
1/9
1/9
1/9
1/9
1/9
1/9
1/9
1/9
1/9
1/9
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Outputs
1/9
1/9
1/9
1/9
1/9
1/9
1/9
1/9
1/9
1/9
1/9
1/9
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(/.f64 (.f64 -1/3 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (.f64 x (/.f64 1/3 x)))) (/.f64 (.f64 (/.f64 (.f64 1/3 (.f64 x (/.f64 1/3 x))) (.f64 1/3 (.f64 x (/.f64 1/3 x)))) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (.f64 (/.f64 (.f64 1/3 (.f64 x (/.f64 1/3 x))) (.f64 1/3 (.f64 x (/.f64 1/3 x)))) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))))))
(/.f64 (.f64 (.f64 (/.f64 1/3 x) (.f64 x -1/3)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (/.f64 (.f64 (/.f64 (.f64 (/.f64 1/3 x) (.f64 x 1/3)) (.f64 (/.f64 1/3 x) (.f64 x 1/3))) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (.f64 (/.f64 (.f64 (/.f64 1/3 x) (.f64 x 1/3)) (.f64 (/.f64 1/3 x) (.f64 x 1/3))) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))))))
(/.f64 (.f64 (/.f64 1/3 x) (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (.f64 x -1/3))) (/.f64 (neg.f64 (neg.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))))) (neg.f64 (neg.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))))))
(.f64 (/.f64 1/3 x) (.f64 x (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) -1/3)))
(.f64 -1/3 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (.f64 x (/.f64 1/3 x))))
(.f64 (.f64 (/.f64 1/3 x) (.f64 x -1/3)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))))
(neg.f64 (.f64 (/.f64 1/3 x) (.f64 (.f64 1/3 x) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))))))
(neg.f64 (.f64 (/.f64 1/3 x) (.f64 (.f64 x 1/3) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))))))
(neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (.f64 1/3 (.f64 x (/.f64 1/3 x)))))
(neg.f64 (.f64 (.f64 x 1/3) (.f64 (/.f64 1/3 x) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))))))

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (neg.f64 (*.f64 (/.f64 1/3 x) (neg.f64 x))))
✓	0.4b	(.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (*.f64 x (/.f64 1/3 x))))
	0.4b	(/.f64 (neg.f64 x) (*.f64 x (/.f64 1/3 x)))
	0.4b	(/.f64 1/3 x)

Compiler

Compiled 108 to 65 computations (39.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1272×	`rational_best_oopsla_all_46_json_45_simplify-23`
1174×	`rational_best_oopsla_all_46_json_45_simplify-37`
1146×	`rational_best_oopsla_all_46_json_45_simplify-13`
942×	`rational_best_oopsla_all_46_json-2`
942×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	108
1	94	108
2	369	100
3	2309	64

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

Inputs

(*.f64 (*.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (*.f64 x (/.f64 1/3 x))))

(*.f64 (*.f64 (*.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (*.f64 x (/.f64 1/3 x)))) (neg.f64 (*.f64 (/.f64 1/3 x) (neg.f64 x))))

Outputs

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simplify120.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1568×	`rational_best_oopsla_all_46_json_45_simplify-23`
1128×	`rational_best_oopsla_all_46_json_45_simplify-72`
902×	`rational_best_oopsla_all_46_json_45_simplify-49`
828×	`rational_best_oopsla_all_46_json_45_simplify-13`
704×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	4246
1	884	4246
2	3503	3562

Stop Event

1×	node limit

Counts

144 → 133

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)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
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(/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)) 1)
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(neg.f64 (.f64 (.f64 x (/.f64 1/3 x)) x))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
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(neg.f64 (*.f64 x 1/3))
(/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)) (/.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))))
(.f64 x (.f64 (neg.f64 x) (/.f64 1/3 x)))
(.f64 x (.f64 (/.f64 1/3 x) (neg.f64 x)))
(neg.f64 (*.f64 x 1/3))
(/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)) (/.f64 (.f64 (.f64 x (/.f64 1/3 x)) x) (.f64 (.f64 x (/.f64 1/3 x)) x)))
(.f64 x (.f64 (neg.f64 x) (/.f64 1/3 x)))
(.f64 x (.f64 (/.f64 1/3 x) (neg.f64 x)))
(neg.f64 (*.f64 x 1/3))
(/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)) (/.f64 (.f64 x (/.f64 (/.f64 1/3 x) (/.f64 1/3 x))) (.f64 x (/.f64 (/.f64 1/3 x) (/.f64 1/3 x)))))
(/.f64 (.f64 x (.f64 (neg.f64 x) (/.f64 1/3 x))) (/.f64 (.f64 x (/.f64 (/.f64 1/3 x) (/.f64 1/3 x))) (.f64 x (/.f64 (/.f64 1/3 x) (/.f64 1/3 x)))))
(/.f64 (.f64 x (.f64 (/.f64 1/3 x) (neg.f64 x))) (/.f64 (.f64 x (/.f64 (/.f64 1/3 x) (/.f64 1/3 x))) (.f64 x (/.f64 (/.f64 1/3 x) (/.f64 1/3 x)))))
(/.f64 (neg.f64 (.f64 x 1/3)) (/.f64 (.f64 x (/.f64 (/.f64 1/3 x) (/.f64 1/3 x))) (*.f64 x (/.f64 (/.f64 1/3 x) (/.f64 1/3 x)))))
(/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)) (/.f64 (/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))))) (/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))))))
(.f64 x (.f64 (neg.f64 x) (/.f64 1/3 x)))
(.f64 x (.f64 (/.f64 1/3 x) (neg.f64 x)))
(neg.f64 (*.f64 x 1/3))
(/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)) (/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))))) (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))))))))
(.f64 x (.f64 (neg.f64 x) (/.f64 1/3 x)))
(.f64 x (.f64 (/.f64 1/3 x) (neg.f64 x)))
(neg.f64 (*.f64 x 1/3))
(/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)) (/.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (/.f64 (.f64 x (/.f64 1/3 x)) (.f64 x (/.f64 1/3 x)))) (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (/.f64 (.f64 x (/.f64 1/3 x)) (.f64 x (/.f64 1/3 x))))))
(.f64 x (.f64 (neg.f64 x) (/.f64 1/3 x)))
(.f64 x (.f64 (/.f64 1/3 x) (neg.f64 x)))
(neg.f64 (*.f64 x 1/3))
(/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)) (/.f64 (.f64 (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (/.f64 (.f64 x (/.f64 1/3 x)) (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))))) (.f64 (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (/.f64 (.f64 x (/.f64 1/3 x)) (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))))))))
(.f64 x (.f64 (neg.f64 x) (/.f64 1/3 x)))
(.f64 x (.f64 (/.f64 1/3 x) (neg.f64 x)))
(neg.f64 (*.f64 x 1/3))
(/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)) (/.f64 (.f64 (/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))))) (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))))))) (.f64 (/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))))) (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))))))))
(.f64 x (.f64 (neg.f64 x) (/.f64 1/3 x)))
(.f64 x (.f64 (/.f64 1/3 x) (neg.f64 x)))
(neg.f64 (*.f64 x 1/3))
(/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)) (/.f64 (/.f64 (.f64 (.f64 x (/.f64 1/3 x)) x) (.f64 (.f64 x (/.f64 1/3 x)) x)) (/.f64 (.f64 (.f64 x (/.f64 1/3 x)) x) (.f64 (.f64 x (/.f64 1/3 x)) x))))
(.f64 x (.f64 (neg.f64 x) (/.f64 1/3 x)))
(.f64 x (.f64 (/.f64 1/3 x) (neg.f64 x)))
(neg.f64 (*.f64 x 1/3))
(/.f64 (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)) (/.f64 (neg.f64 (.f64 (.f64 x (neg.f64 (/.f64 1/3 x))) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))))) (neg.f64 (.f64 (.f64 x (neg.f64 (/.f64 1/3 x))) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))))))
(.f64 x (.f64 (neg.f64 x) (/.f64 1/3 x)))
(.f64 x (.f64 (/.f64 1/3 x) (neg.f64 x)))
(neg.f64 (*.f64 x 1/3))
(neg.f64 (.f64 (.f64 x (/.f64 1/3 x)) x))
(.f64 x (.f64 (neg.f64 x) (/.f64 1/3 x)))
(.f64 x (.f64 (/.f64 1/3 x) (neg.f64 x)))
(neg.f64 (*.f64 x 1/3))

eval713.0ms (5.4%)

Compiler: Compiled 30583 to 20582 computations (32.7% saved)

prune475.0ms (3.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	777	7	784
Fresh	0	0	0
Picked	1	0	1
Done	3	2	5
Total	781	9	790

Error

0.1b

Counts

790 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (.f64 (/.f64 1/3 x) (.f64 (/.f64 1/3 x) (/.f64 1 (/.f64 1/3 x)))) (.f64 x 1/3))))))
	0.6b	(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 x (.f64 1/3 (/.f64 1/3 x)))))))
	0.4b	(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 1/9))))
	0.7b	(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (.f64 (/.f64 1/3 x) (.f64 (/.f64 1/3 x) (/.f64 1 (/.f64 1/3 x)))))) (neg.f64 (.f64 (/.f64 1/3 x) (.f64 x 1/3))))))
	28.4b	(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 1/3 x) (.f64 x (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) -1/3)))))
	0.7b	(-.f64 (.f64 0 1/3) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 1/3 x) (*.f64 x 1/3))))))
	28.4b	(-.f64 (.f64 0 1/3) (neg.f64 (.f64 (/.f64 1/3 x) (*.f64 x x))))
✓	0.3b	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
✓	0.5b	(*.f64 1/3 x)

Compiler

Compiled 198 to 150 computations (24.2% saved)

regimes28.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 1/3 x)
(-.f64 (.f64 0 1/3) (neg.f64 (.f64 (/.f64 1/3 x) (*.f64 x x))))
(-.f64 (.f64 0 1/3) (.f64 (*.f64 x (/.f64 1/3 x)) (neg.f64 x)))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 1/3 x) (.f64 x x))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 1/9))))
(-.f64 (.f64 0 1/3) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 1/3 x) (*.f64 x 1/3))))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 1/3 x) (.f64 x (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) -1/3)))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 x (.f64 1/3 (/.f64 1/3 x)))))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 1/3 x) (.f64 x 1/3))))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (.f64 (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (neg.f64 (*.f64 (/.f64 1/3 x) (neg.f64 x)))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (.f64 (/.f64 1/3 x) (.f64 (/.f64 1/3 x) (/.f64 1 (/.f64 1/3 x)))))) (neg.f64 (.f64 (/.f64 1/3 x) (.f64 x 1/3))))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (.f64 (/.f64 1/3 x) (.f64 (/.f64 1/3 x) (/.f64 1 (/.f64 1/3 x)))) (.f64 x 1/3))))))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))

Outputs
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))

Calls

2 calls:

20.0ms	x
2.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))`

Compiler

Compiled 309 to 216 computations (30.1% saved)

regimes20.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 1/3 x)
(-.f64 (.f64 0 1/3) (neg.f64 (.f64 (/.f64 1/3 x) (*.f64 x x))))
(-.f64 (.f64 0 1/3) (.f64 (*.f64 x (/.f64 1/3 x)) (neg.f64 x)))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 1/3 x) (.f64 x x))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 1/9))))
(-.f64 (.f64 0 1/3) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 1/3 x) (*.f64 x 1/3))))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 1/3 x) (.f64 x (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) -1/3)))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 x (.f64 1/3 (/.f64 1/3 x)))))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 1/3 x) (.f64 x 1/3))))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (.f64 (.f64 (.f64 x (/.f64 1/3 x)) (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x)))) (neg.f64 (*.f64 (/.f64 1/3 x) (neg.f64 x)))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (.f64 (/.f64 1/3 x) (.f64 (/.f64 1/3 x) (/.f64 1 (/.f64 1/3 x)))))) (neg.f64 (.f64 (/.f64 1/3 x) (.f64 x 1/3))))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (.f64 (/.f64 1/3 x) (.f64 (/.f64 1/3 x) (/.f64 1 (/.f64 1/3 x)))) (.f64 x 1/3))))))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Outputs
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 1/9))))

Calls

2 calls:

12.0ms	x
2.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))`

Compiler

Compiled 300 to 209 computations (30.3% saved)

regimes6.0ms (0%)

Accuracy

Total -28.0b remaining (-5521.5%)

Threshold costs -28.0b (-5521.5%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 1/3 x)
(-.f64 (.f64 0 1/3) (neg.f64 (.f64 (/.f64 1/3 x) (*.f64 x x))))
(-.f64 (.f64 0 1/3) (.f64 (*.f64 x (/.f64 1/3 x)) (neg.f64 x)))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 1/3 x) (.f64 x x))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (.f64 (.f64 x (/.f64 1/3 x)) (neg.f64 x)))

Outputs
(*.f64 1/3 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 62 to 42 computations (32.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	89

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 1/9))))
(*.f64 1/3 x)

Outputs
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) (neg.f64 1/9))))
(-.f64 (.f64 0 (.f64 x (/.f64 1/3 x))) (neg.f64 (.f64 (/.f64 (neg.f64 x) (.f64 x (/.f64 1/3 x))) -1/9)))
(*.f64 1/3 x)

Compiler

Compiled 34 to 26 computations (23.5% saved)

soundness0.0ms (0%)

end30.0ms (0.2%)

Compiler: Compiled 32 to 24 computations (25% saved)

Details

analyze4.0ms (0%)

sample9.9s (74.4%)

preprocess5.0ms (0%)

simplify7.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series3.0ms (0%)

rewrite123.0ms (0.9%)

simplify180.0ms (1.4%)

eval60.0ms (0.5%)

prune18.0ms (0.1%)

localize3.0ms (0%)

series1.0ms (0%)

rewrite99.0ms (0.7%)

simplify70.0ms (0.5%)

localize10.0ms (0.1%)

series2.0ms (0%)

rewrite124.0ms (0.9%)

simplify84.0ms (0.6%)

eval81.0ms (0.6%)

prune22.0ms (0.2%)

localize17.0ms (0.1%)

series1.0ms (0%)

rewrite101.0ms (0.8%)

simplify147.0ms (1.1%)

eval147.0ms (1.1%)

prune24.0ms (0.2%)

localize15.0ms (0.1%)

localize19.0ms (0.1%)

series0.0ms (0%)

rewrite66.0ms (0.5%)

simplify134.0ms (1%)

localize64.0ms (0.5%)

series1.0ms (0%)

rewrite64.0ms (0.5%)

simplify179.0ms (1.3%)

localize38.0ms (0.3%)

series1.0ms (0%)

rewrite71.0ms (0.5%)

simplify120.0ms (0.9%)

eval713.0ms (5.4%)

prune475.0ms (3.6%)

regimes28.0ms (0.2%)

regimes20.0ms (0.2%)

regimes6.0ms (0%)

simplify7.0ms (0.1%)

soundness0.0ms (0%)

end30.0ms (0.2%)

Profiling