Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample1.7s (38.5%)

Results

1.6s

8256×

body

256

valid

Bogosity

preprocess8.0ms (0.2%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(acosh.f32 x)

Outputs
(acosh.f32 x)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify219.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1246×	`rational_best_45_simplify-26`
1234×	`rational_best_45_simplify-18`
1016×	`rational_best_45_simplify-20`
810×	`rational_best_45_simplify-24`
758×	`rational_best_45_simplify-25`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	18	27
2	34	27
3	87	27
4	368	27
5	1605	27
6	5483	27
7	7447	27

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Outputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))

eval0.0ms (0%)

Compiler: Compiled 19 to 12 computations (36.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

16.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.5b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize30.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
✓	0.2b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	14.2b	(sqrt.f32 (-.f32 (*.f32 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
1.0ms	x	@	-inf	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
0.0ms	x	@	inf	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
0.0ms	x	@	0	(sqrt.f32 (-.f32 (*.f32 x x) 1))
0.0ms	x	@	inf	(sqrt.f32 (-.f32 (*.f32 x x) 1))

rewrite221.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`rational_best_45_simplify-26`
1234×	`rational_best_45_simplify-18`
1016×	`rational_best_45_simplify-20`
810×	`rational_best_45_simplify-24`
758×	`rational_best_45_simplify-25`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	67
1	18	67
2	34	67
3	87	67
4	368	67
5	1605	67
6	5483	67
7	7447	67

Stop Event

1×	node limit

Counts

3 → 0

Calls

Call 1

Inputs
(sqrt.f32 (-.f32 (*.f32 x x) 1))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))

Outputs
()
()
()

simplify114.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1140×	`rational_best_45_simplify-24`
1004×	`rational_best_45_simplify-16`
952×	`rational_best_45_simplify-9`
840×	`rational_best_45_simplify-1`
660×	`rational_best_45_simplify-7`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	1628
1	258	1612
2	555	1612
3	1150	1612
4	3642	1612
5	6938	1612

Stop Event

1×	node limit

Counts

36 → 95

Calls

Call 1

Inputs
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))
(+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))
(+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5))))))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(-.f32 x (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))))
(*.f32 -1 x)
(+.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 -1 x)))
(+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 -1 x))))
(log.f32 (sqrt.f32 -1))
(+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))))
(+.f32 (.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) x)
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x))
(+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (+.f32 (.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(-.f32 (.f32 2 x) (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))))
(/.f32 1/2 x)
(+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 5/128 (/.f32 1 (pow.f32 x 7))))))

Outputs
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))
(+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)))))
(+.f32 (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))) (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))))
(+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5))))))
(+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (+.f32 (sqrt.f32 -1) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5))))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5))))))
(+.f32 (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))) (+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5)))))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(-.f32 x (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))))
(-.f32 x (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/16 (/.f32 1 (pow.f32 x 5))))))
(*.f32 -1 x)
(neg.f32 x)
(+.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 -1 x))
(+.f32 (*.f32 1/2 (/.f32 1 x)) (neg.f32 x))
(+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 -1 x)))
(+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (neg.f32 x)))
(+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 -1 x))))
(+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (.f32 -1 x))))
(+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (neg.f32 x))))
(+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (neg.f32 x))))
(log.f32 (sqrt.f32 -1))
(+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))
(+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))))
(+.f32 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))))
(+.f32 (/.f32 x (sqrt.f32 -1)) (+.f32 (log.f32 (sqrt.f32 -1)) (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)))))
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (/.f32 x (sqrt.f32 -1)) (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)))))
(+.f32 (.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) (.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)))))
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (/.f32 x (sqrt.f32 -1)) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 2) (-.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 2) (-.f32 (neg.f32 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4)))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 3/32 (/.f32 1 (pow.f32 x 4)))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (log.f32 2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 2) (-.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 5/96 (/.f32 1 (pow.f32 x 6)))))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (log.f32 2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))))
(+.f32 (log.f32 2) (-.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 x)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (log.f32 -1/2))))
(+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))))
(+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (log.f32 (/.f32 -1 x)))))
(+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))))
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))))
(+.f32 (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6))))) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
(+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (log.f32 -1/2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (log.f32 (/.f32 -1 x)) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))))
(+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (log.f32 (/.f32 -1 x))))))
(+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (log.f32 -1/2) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (log.f32 (/.f32 -1 x))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) x)
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x))
(+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (+.f32 (sqrt.f32 -1) x))
(+.f32 (sqrt.f32 -1) (+.f32 x (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))
(+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 x (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))))
(+.f32 (sqrt.f32 -1) (+.f32 x (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))))))
(+.f32 x (+.f32 (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))) (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)))))
(+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) x)))
(*.f32 2 x)
(*.f32 x 2)
(+.f32 x x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 x x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (+.f32 (.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(-.f32 (.f32 x 2) (+.f32 (.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(-.f32 (+.f32 x x) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(-.f32 (.f32 2 x) (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))))
(-.f32 (.f32 x 2) (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 1/16 (/.f32 1 (pow.f32 x 5))))))
(-.f32 (+.f32 x x) (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/16 (/.f32 1 (pow.f32 x 5))))))
(+.f32 x (-.f32 x (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/16 (/.f32 1 (pow.f32 x 5)))))))
(/.f32 1/2 x)
(+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/16 (/.f32 1 (pow.f32 x 5)))))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 5/128 (/.f32 1 (pow.f32 x 7))))))
(+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 5/128 (/.f32 1 (pow.f32 x 7))))))
(+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 5/128 (/.f32 1 (pow.f32 x 7))))))

eval97.0ms (2.2%)

Compiler: Compiled 1944 to 1656 computations (14.8% saved)

prune13.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	91	4	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	5	96

Error

0.0b

Counts

96 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
▶	31.0b	(log.f32 (/.f32 1/2 x))
▶	0.5b	(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))
✓	16.5b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
▶	0.8b	(log.f32 (+.f32 x x))

Compiler

Compiled 40 to 30 computations (25% saved)

localize16.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(log.f32 (+.f32 x x))

Compiler

Compiled 9 to 3 computations (66.7% saved)

series118.0ms (2.7%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
86.0ms	x	@	inf	(log.f32 (+.f32 x x))
18.0ms	x	@	0	(log.f32 (+.f32 x x))
14.0ms	x	@	-inf	(log.f32 (+.f32 x x))

rewrite7.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11

Stop Event

1×

saturated

Counts

1 → 0

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))

Outputs
()

simplify106.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1692×	`rational_best_45_simplify-3`
876×	`rational_best_45_simplify-1`
816×	`rational_best_45_simplify-16`
808×	`rational_best_45_simplify-24`
696×	`rational_best_45_simplify-13`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	20	276
1	32	260
2	59	260
3	128	260
4	467	260
5	2029	228
6	5680	228

Stop Event

1×	node limit

Counts

12 → 7

Calls

Call 1

Inputs
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))

Outputs
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))

localize37.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f32 x (*.f32 1/2 (/.f32 1 x)))
✓	0.0b	(+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x))))
✓	0.2b	(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))

Compiler

Compiled 38 to 27 computations (28.9% saved)

series2.0ms (0%)

Counts

3 → 27

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))
0.0ms	x	@	-inf	(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))
0.0ms	x	@	inf	(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))
0.0ms	x	@	0	(+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x))))
0.0ms	x	@	-inf	(+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x))))

rewrite86.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`rational_best_45_simplify-14`
826×	`rational_best_45_simplify-26`
794×	`rational_best_45_simplify-20`
790×	`rational_best_45_simplify-18`
692×	`rational_best_45_simplify-109`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	19	73
2	32	73
3	65	73
4	233	73
5	1003	73
6	4804	73

Stop Event

1×	node limit

Counts

3 → 2

Calls

Call 1

Inputs
(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))
(+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x))))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))

Outputs
()
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x x) (.f32 1/2 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (-.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 x x)))))))
()

simplify100.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1680×	`rational_best_45_simplify-14`
1016×	`rational_best_45_simplify-9`
906×	`rational_best_45_simplify-24`
818×	`rational_best_45_simplify-16`
686×	`rational_best_45_simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	1001
1	166	977
2	374	977
3	814	977
4	2821	977
5	6883	977

Stop Event

1×	node limit

Counts

29 → 56

Calls

Call 1

Inputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(/.f32 -1/2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(/.f32 -1/2 x)
x
x
(-.f32 (+.f32 x x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 0 (-.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 x x)))

Outputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -1 (log.f32 x)) (.f32 -4 (pow.f32 x 2))))
(+.f32 (neg.f32 (log.f32 x)) (+.f32 (*.f32 -4 (pow.f32 x 2)) (log.f32 -1/2)))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (*.f32 -4 (pow.f32 x 2))))
(+.f32 (neg.f32 (log.f32 x)) (+.f32 (log.f32 -1/2) (*.f32 -4 (pow.f32 x 2))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -1 (log.f32 x)) (*.f32 -8 (pow.f32 x 4)))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 -4 (pow.f32 x 2))) (.f32 -8 (pow.f32 x 4))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (neg.f32 (log.f32 x)) (.f32 -8 (pow.f32 x 4)))))
(+.f32 (neg.f32 (log.f32 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -8 (pow.f32 x 4)))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -8 (pow.f32 x 4)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -1 (log.f32 x)) (.f32 -64/3 (pow.f32 x 6))))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 -4 (pow.f32 x 2))) (*.f32 -8 (pow.f32 x 4)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (neg.f32 (log.f32 x)) (*.f32 -64/3 (pow.f32 x 6))))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 -64/3 (pow.f32 x 6))) (+.f32 (.f32 -4 (pow.f32 x 2)) (*.f32 -8 (pow.f32 x 4)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (neg.f32 (log.f32 x)) (*.f32 -64/3 (pow.f32 x 6))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 2) (-.f32 (neg.f32 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/32 (/.f32 1 (pow.f32 x 4)))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (log.f32 2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/192 (/.f32 1 (pow.f32 x 6))))))
(+.f32 (log.f32 2) (-.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6))))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (log.f32 2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 -2) (-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 -2) (-.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 -2) (-.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(/.f32 -1/2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(+.f32 x (-.f32 x (*.f32 (/.f32 1 x) 1/2)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(+.f32 x (-.f32 x (*.f32 (/.f32 1 x) 1/2)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(+.f32 x (-.f32 x (*.f32 (/.f32 1 x) 1/2)))
(*.f32 2 x)
(*.f32 x 2)
(+.f32 x x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(+.f32 x (-.f32 x (*.f32 (/.f32 1 x) 1/2)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(+.f32 x (-.f32 x (*.f32 (/.f32 1 x) 1/2)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(+.f32 x (-.f32 x (*.f32 (/.f32 1 x) 1/2)))
(*.f32 2 x)
(*.f32 x 2)
(+.f32 x x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(+.f32 x (-.f32 x (*.f32 (/.f32 1 x) 1/2)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(+.f32 x (-.f32 x (*.f32 (/.f32 1 x) 1/2)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(+.f32 x (-.f32 x (*.f32 (/.f32 1 x) 1/2)))
(/.f32 -1/2 x)
x
x
(-.f32 (+.f32 x x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(+.f32 x (-.f32 x (*.f32 (/.f32 1 x) 1/2)))
(-.f32 0 (-.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 x x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(+.f32 x (-.f32 x (*.f32 (/.f32 1 x) 1/2)))

localize15.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (/.f32 1/2 x))

Compiler

Compiled 10 to 7 computations (30% saved)

series40.0ms (0.9%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
23.0ms	x	@	-inf	(log.f32 (/.f32 1/2 x))
11.0ms	x	@	0	(log.f32 (/.f32 1/2 x))
6.0ms	x	@	inf	(log.f32 (/.f32 1/2 x))

rewrite7.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11

Stop Event

1×

saturated

Counts

1 → 0

Calls

Call 1

Inputs
(log.f32 (/.f32 1/2 x))

Outputs
()

simplify91.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1526×	`rational_best_45_simplify-14`
856×	`rational_best_45_simplify-5`
826×	`rational_best_45_simplify-26`
806×	`rational_best_45_simplify-20`
774×	`rational_best_45_simplify-18`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	252
1	27	244
2	41	244
3	77	244
4	252	244
5	1053	228
6	5210	228

Stop Event

1×	node limit

Counts

12 → 6

Calls

Call 1

Inputs
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))

Outputs
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(-.f32 (log.f32 1/2) (log.f32 x))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(-.f32 (log.f32 1/2) (log.f32 x))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(-.f32 (log.f32 1/2) (log.f32 x))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(-.f32 (log.f32 1/2) (log.f32 x))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))

localize34.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (/.f32 1 x))
✓	0.3b	(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series93.0ms (2.2%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
74.0ms	x	@	0	(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
13.0ms	x	@	-inf	(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
5.0ms	x	@	inf	(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
0.0ms	x	@	0	(log.f32 (/.f32 1 x))
0.0ms	x	@	-inf	(log.f32 (/.f32 1 x))

rewrite245.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`rational_best_45_simplify-15`
1058×	`rational_best_45_simplify-1`
912×	`rational_best_45_simplify-16`
716×	`rational_best_45_simplify-3`
630×	`rational_best_45_simplify-24`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	17	36
2	24	36
3	47	32
4	124	32
5	419	32
6	2261	32
7	5603	32

Stop Event

1×	node limit

Counts

2 → 256

Calls

Call 1

Inputs
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(log.f32 (/.f32 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 2) (log.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (log.f32 (/.f32 1 x))) (*.f32 -1 (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (-.f32 (log.f32 (/.f32 1 x)) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (+.f32 (log.f32 (/.f32 1 x)) (*.f32 -1 (log.f32 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (-.f32 (log.f32 (/.f32 1 x)) (+.f32 (log.f32 2) (*.f32 0 (log.f32 (/.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (log.f32 2) (log.f32 (/.f32 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (log.f32 2) (log.f32 (/.f32 1 x))) (*.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 0 (log.f32 (/.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (log.f32 (/.f32 1 x)) (/.f32 0 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))))) (-.f32 (log.f32 (/.f32 1 x)) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (log.f32 (/.f32 1 x)) (/.f32 0 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))))) (-.f32 (log.f32 (/.f32 1 x)) (+.f32 (log.f32 2) (*.f32 0 (log.f32 (/.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 (log.f32 (/.f32 1 x)) (/.f32 1 (log.f32 (/.f32 1 x)))) 0) (-.f32 (log.f32 (/.f32 1 x)) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 (log.f32 (/.f32 1 x)) (/.f32 1 (log.f32 (/.f32 1 x)))) 0) (-.f32 (log.f32 (/.f32 1 x)) (+.f32 (log.f32 2) (*.f32 0 (log.f32 (/.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 (log.f32 (/.f32 1 x)) (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (log.f32 (/.f32 1 x)))) 0) (-.f32 (log.f32 (/.f32 1 x)) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 (log.f32 (/.f32 1 x)) (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (log.f32 (/.f32 1 x)))) 0) (-.f32 (log.f32 (/.f32 1 x)) (+.f32 (log.f32 2) (*.f32 0 (log.f32 (/.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (/.f32 1 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) 0) (-.f32 (log.f32 (/.f32 1 x)) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (/.f32 1 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) 0) (-.f32 (log.f32 (/.f32 1 x)) (+.f32 (log.f32 2) (*.f32 0 (log.f32 (/.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (*.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))))) 0) (-.f32 (log.f32 (/.f32 1 x)) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (*.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))))) 0) (-.f32 (log.f32 (/.f32 1 x)) (+.f32 (log.f32 2) (*.f32 0 (log.f32 (/.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log.f32 2) (*.f32 0 (log.f32 (/.f32 1 x)))) (log.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 (log.f32 2) (log.f32 (/.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (-.f32 (log.f32 (/.f32 1 x)) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (log.f32 2) (log.f32 (/.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (log.f32 2) (log.f32 (/.f32 1 x))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 x)) (*.f32 -1 (-.f32 0 (*.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 0 (log.f32 (/.f32 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 x)) (*.f32 -1 (*.f32 (*.f32 (log.f32 (/.f32 1 x)) (/.f32 1 (log.f32 (/.f32 1 x)))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (neg.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))))) (log.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (neg.f32 (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))))) (log.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 0 (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))))) -1) (log.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 0 (*.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))))) -1) (log.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 0 (*.f32 (log.f32 (/.f32 1 x)) (/.f32 1 (log.f32 (/.f32 1 x))))) -1) (log.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (neg.f32 (log.f32 (/.f32 1 x))) (neg.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (neg.f32 (log.f32 (/.f32 1 x))) (neg.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))))) (*.f32 (neg.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) (-.f32 0 (*.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 0 (log.f32 (/.f32 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (neg.f32 (log.f32 (/.f32 1 x))) (neg.f32 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egg-rr> (2) ((x /.f32 (neg.f32 (log.f32 (/.f32 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (log.f32 (/.f32 1 x))))))))

simplify205.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

2020×	`rational_best_45_simplify-26`
1610×	`rational_best_45_simplify-18`
1488×	`rational_best_45_simplify-14`
986×	`rational_best_45_simplify-13`
600×	`rational_best_45_simplify-16`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	560	9202
1	2282	8138

Stop Event

1×	node limit

Counts

276 → 314

Calls

Call 1

Inputs
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(.f32 (.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) (.f32 (.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) (/.f32 (log.f32 (/.f32 1 x)) (*.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))))))
(log.f32 (/.f32 1 x))
(*.f32 (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) (log.f32 (/.f32 1 x)))
(log.f32 (/.f32 1 x))
(.f32 (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) (.f32 (log.f32 (/.f32 1 x)) (/.f32 (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))))))
(log.f32 (/.f32 1 x))
(.f32 (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) (.f32 (log.f32 (/.f32 1 x)) (/.f32 1 (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))))))
(log.f32 (/.f32 1 x))
(.f32 (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) (.f32 (*.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 1 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))))) (log.f32 (/.f32 1 x))))
(log.f32 (/.f32 1 x))
(.f32 (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) (.f32 (log.f32 (/.f32 1 x)) (/.f32 (*.f32 (log.f32 (/.f32 1 x)) (/.f32 1 (log.f32 (/.f32 1 x)))) (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))))))
(log.f32 (/.f32 1 x))
(.f32 (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) (.f32 (log.f32 (/.f32 1 x)) (/.f32 (*.f32 (log.f32 (/.f32 1 x)) (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (log.f32 (/.f32 1 x)))) (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))))))
(log.f32 (/.f32 1 x))
(.f32 (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) (.f32 (log.f32 (/.f32 1 x)) (/.f32 (/.f32 1 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))))))
(log.f32 (/.f32 1 x))
(*.f32 (neg.f32 (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))))) (neg.f32 (log.f32 (/.f32 1 x))))
(log.f32 (/.f32 1 x))
(.f32 (.f32 (log.f32 (/.f32 1 x)) (/.f32 1 (log.f32 (/.f32 1 x)))) (log.f32 (/.f32 1 x)))
(log.f32 (/.f32 1 x))
(.f32 (.f32 (log.f32 (/.f32 1 x)) (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (log.f32 (/.f32 1 x)))) (log.f32 (/.f32 1 x)))
(log.f32 (/.f32 1 x))
(*.f32 (/.f32 1 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) (log.f32 (/.f32 1 x)))
(log.f32 (/.f32 1 x))
(.f32 (.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (*.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))))) (log.f32 (/.f32 1 x)))
(log.f32 (/.f32 1 x))
(.f32 (neg.f32 (.f32 (log.f32 (/.f32 1 x)) (/.f32 1 (log.f32 (/.f32 1 x))))) (neg.f32 (log.f32 (/.f32 1 x))))
(log.f32 (/.f32 1 x))
(.f32 (neg.f32 (.f32 (log.f32 (/.f32 1 x)) (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (log.f32 (/.f32 1 x))))) (neg.f32 (log.f32 (/.f32 1 x))))
(log.f32 (/.f32 1 x))
(*.f32 (neg.f32 (/.f32 1 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))))) (neg.f32 (log.f32 (/.f32 1 x))))
(log.f32 (/.f32 1 x))
(.f32 (neg.f32 (.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (*.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))))) (neg.f32 (log.f32 (/.f32 1 x))))
(log.f32 (/.f32 1 x))
(/.f32 (log.f32 (/.f32 1 x)) 1)
(log.f32 (/.f32 1 x))
(/.f32 (log.f32 (/.f32 1 x)) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))))
(log.f32 (/.f32 1 x))
(/.f32 (log.f32 (/.f32 1 x)) (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))))
(log.f32 (/.f32 1 x))
(/.f32 (log.f32 (/.f32 1 x)) (/.f32 (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x)))) (/.f32 (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))) (/.f32 (log.f32 (/.f32 1 x)) (log.f32 (/.f32 1 x))))))
(log.f32 (/.f32 1 x))
(/.f32 (neg.f32 (log.f32 (/.f32 1 x))) -1)
(log.f32 (/.f32 1 x))
(neg.f32 (neg.f32 (log.f32 (/.f32 1 x))))
(log.f32 (/.f32 1 x))

eval487.0ms (11.3%)

Compiler: Compiled 13349 to 11127 computations (16.6% saved)

prune70.0ms (1.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	382	1	383
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	383	5	388

Error

0.0b

Counts

388 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(+.f32 (log.f32 2) (log.f32 x))
✓	31.0b	(log.f32 (/.f32 1/2 x))
✓	0.5b	(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))
✓	16.5b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	0.8b	(log.f32 (+.f32 x x))

Compiler

Compiled 37 to 27 computations (27% saved)

localize18.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(+.f32 (log.f32 2) (log.f32 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series7.0ms (0.2%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(+.f32 (log.f32 2) (log.f32 x))
0.0ms	x	@	0	(+.f32 (log.f32 2) (log.f32 x))
0.0ms	x	@	inf	(+.f32 (log.f32 2) (log.f32 x))

rewrite9.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2×	`rational_best_45_simplify-20`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	9	15

Stop Event

1×

saturated

Counts

1 → 0

Calls

Call 1

Inputs
(+.f32 (log.f32 2) (log.f32 x))

Outputs
()

simplify100.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

896×	`rational_best_45_simplify-1`
816×	`rational_best_45_simplify-16`
806×	`rational_best_45_simplify-24`
696×	`rational_best_45_simplify-13`
596×	`rational_best_45_simplify-22`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	18	256
1	32	240
2	63	240
3	135	240
4	480	240
5	2069	208
6	5754	208

Stop Event

1×	node limit

Counts

8 → 7

Calls

Call 1

Inputs
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))

Outputs
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (log.f32 2) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (log.f32 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (log.f32 2) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (log.f32 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (log.f32 2) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (log.f32 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (log.f32 2) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (log.f32 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))

eval2.0ms (0%)

Compiler: Compiled 70 to 63 computations (10% saved)

prune10.0ms (0.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	7	0	7
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	7	5	12

Error

0.0b

Counts

12 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(+.f32 (log.f32 2) (log.f32 x))
✓	31.0b	(log.f32 (/.f32 1/2 x))
✓	0.5b	(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))
✓	16.5b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	0.8b	(log.f32 (+.f32 x x))

Compiler

Compiled 37 to 27 computations (27% saved)

regimes18.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))
(log.f32 (/.f32 1/2 x))
(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Outputs
(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))

Calls

3 calls:

9.0ms	x
4.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
4.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))`
0.5b	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))`

Compiler

Compiled 62 to 44 computations (29% saved)

regimes3.0ms (0.1%)

Accuracy

Total -30.3b remaining (-3790.8%)

Threshold costs -30.3b (-3790.8%)

Counts

2 → 1

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))
(log.f32 (/.f32 1/2 x))

Outputs
(log.f32 (+.f32 x x))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))
(log.f32 (+.f32 x x))

Outputs
(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))
(log.f32 (+.f32 x x))

Compiler

Compiled 16 to 11 computations (31.3% saved)

soundness0.0ms (0%)

end15.0ms (0.3%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

Details

analyze0.0ms (0%)

sample1.7s (38.5%)

preprocess8.0ms (0.2%)

simplify219.0ms (5.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize30.0ms (0.7%)

series3.0ms (0.1%)

rewrite221.0ms (5.1%)

simplify114.0ms (2.6%)

eval97.0ms (2.2%)

prune13.0ms (0.3%)

localize16.0ms (0.4%)

series118.0ms (2.7%)

rewrite7.0ms (0.2%)

simplify106.0ms (2.5%)

localize37.0ms (0.9%)

series2.0ms (0%)

rewrite86.0ms (2%)

simplify100.0ms (2.3%)

localize15.0ms (0.3%)

series40.0ms (0.9%)

rewrite7.0ms (0.2%)

simplify91.0ms (2.1%)

localize34.0ms (0.8%)

series93.0ms (2.2%)

rewrite245.0ms (5.7%)

simplify205.0ms (4.8%)

eval487.0ms (11.3%)

prune70.0ms (1.6%)

localize18.0ms (0.4%)

series7.0ms (0.2%)

rewrite9.0ms (0.2%)

simplify100.0ms (2.3%)

eval2.0ms (0%)

prune10.0ms (0.2%)

regimes18.0ms (0.4%)

regimes3.0ms (0.1%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end15.0ms (0.3%)

Profiling