Details

analyze304.0ms (5.5%)

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
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.5s (62.9%)

Results

1.5s	2560×	body	1024	valid
892.0ms	1250×	body	2048	valid
585.0ms	3123×	body	256	valid
422.0ms	1270×	body	512	valid
32.0ms	53×	body	4096	valid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

4×	`rational_best-simplify-1`
2×	`rational_best-simplify-16`
2×	`rational_best-simplify-74`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	15	27
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`rational_best-simplify-1`
2×	`rational_best-simplify-16`
2×	`rational_best-simplify-74`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	15	27

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% 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

52.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.1b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x x) 1)
✓	0.7b	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
✓	2.8b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
✓	15.4b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite118.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`rational_best-simplify-57`
768×	`rational_best-simplify-78`
684×	`rational_best-simplify-43`
518×	`rational_best-5`
516×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	80
1	84	80
2	273	80
3	1115	80
4	5139	80

Stop Event

1×	node limit

Counts

4 → 93

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
(+.f64 (*.f64 x x) 1)

Outputs
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simplify162.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1690×	`rational_best-simplify-54`
1328×	`rational_best-simplify-2`
1152×	`rational_best-simplify-80`
1136×	`rational_best-simplify-78`
892×	`rational_best-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	278	3563
1	505	3547
2	1847	3547
3	5529	3547

Stop Event

1×	node limit

Counts

141 → 183

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 0)
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) 1)))
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 1)
(.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (sqrt.f64 (+.f64 (.f64 x x) 1))))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (sqrt.f64 (+.f64 (.f64 x x) 1))) (sqrt.f64 (+.f64 (.f64 x x) 1)))
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(.f64 (/.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (/.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(/.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 2) 2)
(/.f64 (.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) 2) -2)
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(neg.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(-.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 0)
(-.f64 0 (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))
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(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))
(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(.f64 (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
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(.f64 (/.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(.f64 (/.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(/.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) 2) 2)
(/.f64 (.f64 (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 2) -2)
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(-.f64 (*.f64 x x) -1)
(-.f64 (+.f64 (*.f64 x x) 1) 0)
(-.f64 0 (-.f64 -1 (*.f64 x x)))
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(.f64 (+.f64 (.f64 x x) 1) 1)
(.f64 (+.f64 (.f64 x x) 1) (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)))
(.f64 (+.f64 (.f64 x x) 1) (.f64 (+.f64 (.f64 x x) 1) (/.f64 1 (+.f64 (*.f64 x x) 1))))
(.f64 (+.f64 (.f64 x x) 1) (/.f64 1 (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))))
(.f64 (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x x) 1))
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(.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)) (/.f64 1 (+.f64 (*.f64 x x) 1)))
(.f64 (.f64 (+.f64 (.f64 x x) 1) (/.f64 1 (+.f64 (.f64 x x) 1))) (+.f64 (*.f64 x x) 1))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))) (.f64 (+.f64 (.f64 x x) 1) (.f64 (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)) (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)))))
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(.f64 (/.f64 (.f64 (+.f64 (.f64 x x) 1) (/.f64 1 (+.f64 (.f64 x x) 1))) (+.f64 (.f64 x x) 1)) (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))) (+.f64 (.f64 x x) 1)) (.f64 (+.f64 (.f64 x x) 1) (+.f64 (*.f64 x x) 1)))
(/.f64 (+.f64 (*.f64 x x) 1) 1)
(/.f64 (+.f64 (.f64 x x) 1) (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (*.f64 x x) 1)))
(/.f64 (+.f64 (*.f64 x (+.f64 x x)) 2) 2)
(/.f64 (-.f64 -2 (*.f64 x (+.f64 x x))) -2)
(pow.f64 (+.f64 (*.f64 x x) 1) 1)
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Outputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 1 (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 6)))))
(+.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 6))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (.f64 1/2 (/.f64 1 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 x (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (+.f64 x (.f64 1/2 (/.f64 1 x))) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(*.f64 x -1)
(neg.f64 x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 x -1) (.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 x -1)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (neg.f64 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 x -1)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
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x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
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(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (+.f64 x (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 5) 3/40)))
(+.f64 x (+.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (*.f64 (pow.f64 x 3) -1/6)))
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(+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (neg.f64 (log.f64 (/.f64 1 x)))))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (neg.f64 (log.f64 (/.f64 1 x))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
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(.f64 (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (/.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (/.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) 2) 2)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (.f64 (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 2) -2)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 (*.f64 x x) -1)
(+.f64 1 (*.f64 x x))
(-.f64 (+.f64 (*.f64 x x) 1) 0)
(+.f64 1 (*.f64 x x))
(-.f64 0 (-.f64 -1 (*.f64 x x)))
(+.f64 1 (*.f64 x x))
(.f64 1 (+.f64 (.f64 x x) 1))
(+.f64 1 (*.f64 x x))
(.f64 (+.f64 (.f64 x x) 1) 1)
(+.f64 1 (*.f64 x x))
(.f64 (+.f64 (.f64 x x) 1) (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)))
(+.f64 1 (*.f64 x x))
(.f64 (+.f64 (.f64 x x) 1) (.f64 (+.f64 (.f64 x x) 1) (/.f64 1 (+.f64 (*.f64 x x) 1))))
(+.f64 1 (*.f64 x x))
(.f64 (+.f64 (.f64 x x) 1) (/.f64 1 (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))))
(+.f64 1 (*.f64 x x))
(.f64 (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x x) 1))
(+.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (.f64 (+.f64 (.f64 x x) 1) (+.f64 (*.f64 x x) 1)))
(+.f64 1 (*.f64 x x))
(.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)) (/.f64 1 (+.f64 (*.f64 x x) 1)))
(+.f64 1 (*.f64 x x))
(.f64 (.f64 (+.f64 (.f64 x x) 1) (/.f64 1 (+.f64 (.f64 x x) 1))) (+.f64 (*.f64 x x) 1))
(+.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))) (.f64 (+.f64 (.f64 x x) 1) (.f64 (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)) (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)))))
(+.f64 1 (*.f64 x x))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 x x) 1)) (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))) (.f64 (+.f64 (.f64 x x) 1) (.f64 (+.f64 (.f64 x x) 1) (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)))))
(+.f64 1 (*.f64 x x))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)) (+.f64 (.f64 x x) 1)) (.f64 (+.f64 (.f64 x x) 1) (+.f64 (*.f64 x x) 1)))
(+.f64 1 (*.f64 x x))
(.f64 (/.f64 (.f64 (+.f64 (.f64 x x) 1) (/.f64 1 (+.f64 (.f64 x x) 1))) (+.f64 (.f64 x x) 1)) (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)))
(+.f64 1 (*.f64 x x))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))) (+.f64 (.f64 x x) 1)) (.f64 (+.f64 (.f64 x x) 1) (+.f64 (*.f64 x x) 1)))
(+.f64 1 (*.f64 x x))
(/.f64 (+.f64 (*.f64 x x) 1) 1)
(+.f64 1 (*.f64 x x))
(/.f64 (+.f64 (.f64 x x) 1) (/.f64 (+.f64 (.f64 x x) 1) (+.f64 (*.f64 x x) 1)))
(+.f64 1 (*.f64 x x))
(/.f64 (+.f64 (*.f64 x (+.f64 x x)) 2) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 x x))) 2)
(+.f64 1 (/.f64 (*.f64 x (+.f64 x x)) 2))
(/.f64 (-.f64 -2 (*.f64 x (+.f64 x x))) -2)
(/.f64 (-.f64 (*.f64 x (+.f64 x x)) -2) 2)
(pow.f64 (+.f64 (*.f64 x x) 1) 1)
(+.f64 1 (*.f64 x x))
(neg.f64 (-.f64 -1 (*.f64 x x)))
(+.f64 1 (*.f64 x x))

eval59.0ms (1.1%)

Compiler: Compiled 3858 to 2597 computations (32.7% saved)

prune26.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	178	5	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	5	184

Error

Counts

184 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.6b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	46.9b	(log.f64 (/.f64 -1/2 x))
▶	46.3b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
▶	46.7b	(log.f64 (+.f64 x x))
▶	56.6b	(log.f64 (+.f64 x 1))

Compiler

Compiled 68 to 52 computations (23.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 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))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

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

rewrite85.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`rational_best-5`
1642×	`rational_best-4`
1642×	`rational_best-2`
1642×	`rational_best-3`
1642×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	66	32
2	198	32
3	786	32
4	3355	32

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

Inputs
(*.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 -1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/6 (pow.f64 x 3)) (/.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) -1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (/.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (/.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.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 (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.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 1 (/.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (+.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 (+.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.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 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.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 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (/.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (/.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.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 (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.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 1 (/.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.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 (+.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.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 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 1)))))

simplify150.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1386×	`rational_best-simplify-80`
1224×	`rational_best-simplify-78`
1050×	`rational_best-simplify-2`
552×	`rational_best-simplify-129`
546×	`rational_best-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	555
1	97	555
2	453	555
3	2100	555
4	5131	555

Stop Event

1×	node limit

Counts

33 → 33

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 7 computations (30% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1548×	`rational_best-5`
1546×	`rational_best-4`
1546×	`rational_best-2`
1546×	`rational_best-3`
1546×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	58	11
2	187	11
3	748	11
4	3158	11

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify148.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1262×	`rational_best-simplify-129`
1220×	`rational_best-simplify-80`
1144×	`rational_best-simplify-78`
750×	`rational_best-simplify-2`
668×	`rational_best-simplify-94`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	99	834
1	176	818
2	537	818
3	1362	818
4	4086	818

Stop Event

1×	node limit

Counts

42 → 65

Calls

Call 1

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

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

localize8.0ms (0.1%)

Compiler: Compiled 9 to 3 computations (66.7% saved)

localize5.0ms (0.1%)

Compiler: Compiled 10 to 7 computations (30% saved)

localize16.0ms (0.3%)

Compiler: Compiled 35 to 27 computations (22.9% saved)

eval37.0ms (0.7%)

Compiler: Compiled 1924 to 1526 computations (20.7% saved)

prune13.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	98	5	103

Error

Counts

103 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.6b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	46.9b	(log.f64 (/.f64 -1/2 x))
✓	46.3b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	46.7b	(log.f64 (+.f64 x x))
	32.1b	x

Compiler

Compiled 31 to 23 computations (25.8% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.6b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	46.9b	(log.f64 (/.f64 -1/2 x))
✓	46.3b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	46.7b	(log.f64 (+.f64 x x))
	32.1b	x

Compiler

Compiled 31 to 23 computations (25.8% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.6b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	46.9b	(log.f64 (/.f64 -1/2 x))
✓	46.3b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	46.7b	(log.f64 (+.f64 x x))
	32.1b	x

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes32.0ms (0.6%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	x
7.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Error	Segments	Branch
0b	3	`x`
7.2b	4	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
7.2b	4	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 61 to 42 computations (31.1% saved)

bsearch120.0ms (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	7.931696942765126e-19	15741.06401705873
98.0ms	-188477415.2259136	-5.954890251727371e-5

Results

36.0ms

336×

body

256

valid

Compiler

Compiled 395 to 317 computations (19.7% saved)

regimes194.0ms (3.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

193.0ms

Results

Error	Segments	Branch
0.1b	3	`x`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch47.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	7.931696942765126e-19	15741.06401705873
19.0ms	-188477415.2259136	-5.954890251727371e-5

Results

42.0ms

336×

body

256

valid

Compiler

Compiled 329 to 251 computations (23.7% saved)

regimes13.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

Outputs
(log.f64 (/.f64 -1/2 x))
x
(log.f64 (+.f64 x x))

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch47.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	7.931696942765126e-19	15741.06401705873
19.0ms	-188477415.2259136	-5.954890251727371e-5

Results

35.0ms

336×

body

256

valid

Compiler

Compiled 203 to 146 computations (28.1% saved)

regimes7.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

Outputs
x
(log.f64 (+.f64 x x))

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
16.1b	2	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch20.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	7.931696942765126e-19	15741.06401705873

Results

18.0ms

176×

body

256

valid

Compiler

Compiled 113 to 76 computations (32.7% saved)

regimes66.0ms (1.2%)

Accuracy

Total -33.4b remaining (-120.7%)

Threshold costs -33.4b (-120.7%)

Counts

2 → 2

Calls

Call 1

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

Outputs
x
(log.f64 (+.f64 x 1))

Calls

1 calls:

66.0ms

Results

Error	Segments	Branch
27.6b	2	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

bsearch20.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	7.931696942765126e-19	15741.06401705873

Results

19.0ms

176×

body

256

valid

Compiler

Compiled 113 to 87 computations (23% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	220

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
(if (<=.f64 x 3602879701896397/2251799813685248) x (log.f64 (+.f64 x 1)))
x

Outputs
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
(if (<=.f64 x 3602879701896397/2251799813685248) x (log.f64 (+.f64 x 1)))
x

Compiler

Compiled 94 to 66 computations (29.8% saved)

soundness0.0ms (0%)

end211.0ms (3.8%)

Compiler: Compiled 89 to 57 computations (36% saved)

Details

analyze304.0ms (5.5%)

sample3.5s (62.9%)

preprocess4.0ms (0.1%)

simplify12.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize18.0ms (0.3%)

series3.0ms (0.1%)

rewrite118.0ms (2.2%)

simplify162.0ms (2.9%)

eval59.0ms (1.1%)

prune26.0ms (0.5%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite85.0ms (1.5%)

simplify150.0ms (2.7%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite73.0ms (1.3%)

simplify148.0ms (2.7%)

localize8.0ms (0.1%)

localize5.0ms (0.1%)

localize16.0ms (0.3%)

eval37.0ms (0.7%)

prune13.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes32.0ms (0.6%)

bsearch120.0ms (2.2%)

regimes194.0ms (3.5%)

bsearch47.0ms (0.8%)

regimes13.0ms (0.2%)

bsearch47.0ms (0.9%)

regimes7.0ms (0.1%)

bsearch20.0ms (0.4%)

regimes66.0ms (1.2%)

bsearch20.0ms (0.4%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end211.0ms (3.8%)

Profiling