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 (27.3%)

Results

1.7s

8256×

body

256

valid

Bogosity

preprocess13.0ms (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)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`rational_best-simplify-1`
2×	`rational_best-simplify-22`
2×	`rational_best-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	14	27
2	15	27

Stop Event

1×

saturated

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))))

eval2.0ms (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

17.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.1b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f32 (*.f32 x x) 1)
✓	0.0b	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
✓	0.1b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	14.8b	(sqrt.f32 (-.f32 (*.f32 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 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	@	0	(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	@	inf	(sqrt.f32 (-.f32 (*.f32 x x) 1))

rewrite23.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

32×	`rational_best-simplify-2`
28×	`rational_best-4`
28×	`rational_best-2`
28×	`rational_best-3`
28×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	80
1	65	80
2	98	80
3	106	80
4	111	80
5	124	80
6	136	80
7	150	80
8	167	80

Stop Event

1×

saturated

Counts

4 → 27

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)))
(-.f32 (*.f32 x x) 1)

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

simplify385.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1116×	`exponential-simplify-31`
546×	`rational_best-simplify-1`
488×	`rational_best-simplify-43`
46×	`rational_best-simplify-2`
26×	`rational_best-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	146	2245
1	235	2229
2	344	2229
3	498	2229
4	862	2229
5	971	2229
6	1042	2229
7	1054	2229
8	1054	2229
9	3010	2229
10	3136	2229
11	3151	2229
12	3151	2229
13	3151	2229
14	3151	2229
15	3151	2229
16	3151	2229

Stop Event

1×	node limit

Counts

75 → 124

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))))))
-1
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(pow.f32 x 2)
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(pow.f32 x 2)
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(+.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)) 0)
(+.f32 0 (sqrt.f32 (+.f32 (*.f32 x x) -1)))
(-.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)) 0)
(.f32 1 (sqrt.f32 (+.f32 (.f32 x x) -1)))
(.f32 (sqrt.f32 (+.f32 (.f32 x x) -1)) 1)
(/.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)) 1)
(pow.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)) 1)
(+.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 0)
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))
(-.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 0)
(.f32 1 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))))
(.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))) 1)
(/.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 1)
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 1)
(-.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 0)
(.f32 1 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))))
(.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) 1)
(/.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 1)
(pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 1)
(+.f32 (*.f32 x x) -1)
(+.f32 (+.f32 (*.f32 x x) -1) 0)
(+.f32 0 (+.f32 (*.f32 x x) -1))
(+.f32 -1 (*.f32 x x))
(.f32 1 (+.f32 (.f32 x x) -1))
(.f32 (+.f32 (.f32 x x) -1) 1)
(/.f32 (+.f32 (*.f32 x x) -1) 1)
(pow.f32 (+.f32 (*.f32 x x) -1) 1)

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 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (+.f32 (sqrt.f32 -1) (.f32 -1/8 (/.f32 (pow.f32 x 4) (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) (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))))))
(+.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (.f32 1/16 (/.f32 (pow.f32 x 6) (sqrt.f32 -1)))) (+.f32 (sqrt.f32 -1) (*.f32 -1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1)))))
(+.f32 (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))) (+.f32 (.f32 1/16 (/.f32 (pow.f32 x 6) (sqrt.f32 -1))) (*.f32 -1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1)))))
(+.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) (sqrt.f32 -1))) (*.f32 1/16 (/.f32 (pow.f32 x 6) (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 (pow.f32 x 6) (sqrt.f32 -1))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (*.f32 -1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1))))))
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 (neg.f32 x) (*.f32 1/16 (/.f32 1 (pow.f32 x 5))))))
(+.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 (log.f32 (sqrt.f32 -1)) (+.f32 (/.f32 x (sqrt.f32 -1)) (*.f32 -1/6 (/.f32 (pow.f32 x 3) (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 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1))) (.f32 3/40 (/.f32 (pow.f32 x 5) (sqrt.f32 -1)))))
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (+.f32 (/.f32 x (sqrt.f32 -1)) (.f32 -1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1)))) (.f32 3/40 (/.f32 (pow.f32 x 5) (sqrt.f32 -1)))))
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (/.f32 x (sqrt.f32 -1)) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1))) (.f32 3/40 (/.f32 (pow.f32 x 5) (sqrt.f32 -1))))))
(+.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 (+.f32 (log.f32 2) (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 (+.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 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.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 (.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 (*.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 (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 3/32 (/.f32 1 (pow.f32 x 4)))) (+.f32 (log.f32 -1/2) (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 (log.f32 -1/2) (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 (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.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 (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (.f32 5/96 (/.f32 1 (pow.f32 x 6)))) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (log.f32 -1/2))))
(+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (+.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 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 5/96 (/.f32 1 (pow.f32 x 6))) (log.f32 -1/2)))))
(+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))
(+.f32 (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 3/32 (/.f32 1 (pow.f32 x 4)))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))))
(+.f32 (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (log.f32 -1/2)) (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6))))))
(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 (sqrt.f32 -1) (+.f32 x (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))
(+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (+.f32 (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 (.f32 -1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1))) (+.f32 (sqrt.f32 -1) (+.f32 x (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))))
(+.f32 (sqrt.f32 -1) (+.f32 (+.f32 x (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))) (.f32 -1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1))) (+.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) (sqrt.f32 -1))))))
(+.f32 x (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (+.f32 (sqrt.f32 -1) (.f32 -1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1))))))
(*.f32 2 x)
(*.f32 x 2)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.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 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 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 (.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 1/16 (/.f32 1 (pow.f32 x 5)))))
(+.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3)))) (+.f32 (.f32 5/128 (/.f32 1 (pow.f32 x 7))) (.f32 1/16 (/.f32 1 (pow.f32 x 5)))))
(+.f32 (+.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 5/128 (/.f32 1 (pow.f32 x 7)))))
(+.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 5/128 (/.f32 1 (pow.f32 x 7))))))
-1
(-.f32 (pow.f32 x 2) 1)
(+.f32 (pow.f32 x 2) -1)
(+.f32 -1 (pow.f32 x 2))
(-.f32 (pow.f32 x 2) 1)
(+.f32 (pow.f32 x 2) -1)
(+.f32 -1 (pow.f32 x 2))
(-.f32 (pow.f32 x 2) 1)
(+.f32 (pow.f32 x 2) -1)
(+.f32 -1 (pow.f32 x 2))
(pow.f32 x 2)
(-.f32 (pow.f32 x 2) 1)
(+.f32 (pow.f32 x 2) -1)
(+.f32 -1 (pow.f32 x 2))
(-.f32 (pow.f32 x 2) 1)
(+.f32 (pow.f32 x 2) -1)
(+.f32 -1 (pow.f32 x 2))
(-.f32 (pow.f32 x 2) 1)
(+.f32 (pow.f32 x 2) -1)
(+.f32 -1 (pow.f32 x 2))
(pow.f32 x 2)
(-.f32 (pow.f32 x 2) 1)
(+.f32 (pow.f32 x 2) -1)
(+.f32 -1 (pow.f32 x 2))
(-.f32 (pow.f32 x 2) 1)
(+.f32 (pow.f32 x 2) -1)
(+.f32 -1 (pow.f32 x 2))
(-.f32 (pow.f32 x 2) 1)
(+.f32 (pow.f32 x 2) -1)
(+.f32 -1 (pow.f32 x 2))
(+.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)) 0)
(sqrt.f32 (+.f32 -1 (*.f32 x x)))
(+.f32 0 (sqrt.f32 (+.f32 (*.f32 x x) -1)))
(sqrt.f32 (+.f32 -1 (*.f32 x x)))
(-.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)) 0)
(sqrt.f32 (+.f32 -1 (*.f32 x x)))
(.f32 1 (sqrt.f32 (+.f32 (.f32 x x) -1)))
(sqrt.f32 (+.f32 -1 (*.f32 x x)))
(.f32 (sqrt.f32 (+.f32 (.f32 x x) -1)) 1)
(sqrt.f32 (+.f32 -1 (*.f32 x x)))
(/.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)) 1)
(sqrt.f32 (+.f32 -1 (*.f32 x x)))
(pow.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)) 1)
(sqrt.f32 (+.f32 -1 (*.f32 x x)))
(+.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 0)
(log.f32 (+.f32 x (sqrt.f32 (+.f32 -1 (*.f32 x x)))))
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 -1 (*.f32 x x)))))
(-.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 0)
(log.f32 (+.f32 x (sqrt.f32 (+.f32 -1 (*.f32 x x)))))
(.f32 1 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 -1 (*.f32 x x)))))
(.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))) 1)
(log.f32 (+.f32 x (sqrt.f32 (+.f32 -1 (*.f32 x x)))))
(/.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 1)
(log.f32 (+.f32 x (sqrt.f32 (+.f32 -1 (*.f32 x x)))))
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 1)
(log.f32 (+.f32 x (sqrt.f32 (+.f32 -1 (*.f32 x x)))))
(-.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 0)
(+.f32 x (sqrt.f32 (+.f32 -1 (*.f32 x x))))
(.f32 1 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))))
(+.f32 x (sqrt.f32 (+.f32 -1 (*.f32 x x))))
(.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) 1)
(+.f32 x (sqrt.f32 (+.f32 -1 (*.f32 x x))))
(/.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 1)
(+.f32 x (sqrt.f32 (+.f32 -1 (*.f32 x x))))
(pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 1)
(+.f32 x (sqrt.f32 (+.f32 -1 (*.f32 x x))))
(+.f32 (*.f32 x x) -1)
(+.f32 -1 (*.f32 x x))
(+.f32 (+.f32 (*.f32 x x) -1) 0)
(+.f32 -1 (*.f32 x x))
(+.f32 0 (+.f32 (*.f32 x x) -1))
(+.f32 -1 (*.f32 x x))
(+.f32 -1 (*.f32 x x))
(.f32 1 (+.f32 (.f32 x x) -1))
(+.f32 -1 (*.f32 x x))
(.f32 (+.f32 (.f32 x x) -1) 1)
(+.f32 -1 (*.f32 x x))
(/.f32 (+.f32 (*.f32 x x) -1) 1)
(+.f32 -1 (*.f32 x x))
(pow.f32 (+.f32 (*.f32 x x) -1) 1)
(+.f32 -1 (*.f32 x x))

eval74.0ms (1.2%)

Compiler: Compiled 2200 to 1803 computations (18% saved)

prune22.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	5	124
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	119	6	125

Error

0.0b

Counts

125 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
▶	31.0b	(log.f32 (/.f32 1/2 x))
▶	0.5b	(log.f32 (-.f32 (.f32 x 2) (.f32 1/2 (/.f32 1 x))))
▶	0.5b	(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))
✓	17.1b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
▶	0.8b	(log.f32 (+.f32 x x))

Compiler

Compiled 92 to 71 computations (22.8% saved)

localize58.0ms (0.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 1 x)
✓	0.1b	(log.f32 (-.f32 (.f32 x 2) (.f32 1/2 (/.f32 1 x))))

Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite83.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`rational_best-4`
1322×	`rational_best-2`
1322×	`rational_best-3`
1322×	`rational_best-1`
1322×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	75	36
2	106	36
3	149	36
4	246	36
5	445	36
6	838	36
7	1683	36
8	3446	36
9	5613	36

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 (+.f32 x x) (.f32 1/2 (/.f32 -1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 (+.f32 x x) (.f32 1/2 (/.f32 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (+.f32 x x) (.f32 1/2 (/.f32 -1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 (+.f32 x x) (.f32 1/2 (/.f32 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 (+.f32 x x) (.f32 1/2 (/.f32 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 (+.f32 x x) (.f32 1/2 (/.f32 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/2 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1 x) (.f32 2 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 2 (/.f32 1 x)) (/.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 1/2 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (+.f32 (.f32 (/.f32 1 x) 4) (.f32 (/.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 1/2 (/.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (+.f32 (/.f32 1 x) (.f32 (/.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 1/2 (/.f32 -1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (.f32 (/.f32 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1/2 (.f32 (/.f32 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1/2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (.f32 (/.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -2 (.f32 1/2 (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (/.f32 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (/.f32 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 1 x) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 1 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 1 x) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (/.f32 1 x) (.f32 (/.f32 1 x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (.f32 (/.f32 1 x) 4) (.f32 (/.f32 1 x) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (.f32 (/.f32 1 x) -2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 (/.f32 1 x) (*.f32 (/.f32 1 x) -2)))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/2 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1 x) (*.f32 2 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (/.f32 1 x)) (/.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 (*.f32 (/.f32 1 x) 4) (*.f32 (/.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (/.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (+.f32 (/.f32 1 x) (*.f32 (/.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (/.f32 -1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (/.f32 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (*.f32 (/.f32 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (*.f32 (/.f32 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (*.f32 1/2 (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (/.f32 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 x) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 x) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1 x) (*.f32 (/.f32 1 x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 (/.f32 1 x) 4) (*.f32 (/.f32 1 x) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 2 (/.f32 1 x)) (*.f32 2 (*.f32 (/.f32 1 x) -2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 (/.f32 1 x) (*.f32 (/.f32 1 x) -2)))))))

simplify410.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

2028×	`rational_best-simplify-1`
1660×	`rational_best-simplify-43`
1312×	`rational_best-simplify-2`
1294×	`rational_best-simplify-49`
992×	`rational_best-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	1123
1	171	1099
2	306	1099
3	753	1099
4	1408	1099
5	1813	1099
6	2452	1099
7	2915	1099
8	3182	1099
9	3495	1099
10	4922	1099
11	5249	1099
12	5788	1099
13	6175	1099
14	6869	1099
15	7615	1099

Stop Event

1×	node limit

Counts

51 → 83

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 (log.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x)))) 0)
(+.f32 0 (log.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x)))))
(-.f32 (log.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x)))) 0)
(.f32 1 (log.f32 (+.f32 (+.f32 x x) (.f32 1/2 (/.f32 -1 x)))))
(.f32 (log.f32 (+.f32 (+.f32 x x) (.f32 1/2 (/.f32 -1 x)))) 1)
(/.f32 (log.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x)))) 1)
(pow.f32 (log.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x)))) 1)
(+.f32 (/.f32 1 x) 0)
(+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 0 (/.f32 1 x))
(+.f32 (/.f32 -1 x) (*.f32 2 (/.f32 1 x)))
(+.f32 (*.f32 2 (/.f32 1 x)) (/.f32 -1 x))
(-.f32 (/.f32 1 x) 0)
(-.f32 0 (/.f32 -1 x))
(.f32 2 (.f32 1/2 (/.f32 1 x)))
(.f32 1/2 (.f32 2 (/.f32 1 x)))
(.f32 1/2 (+.f32 (.f32 (/.f32 1 x) 4) (*.f32 (/.f32 1 x) -2)))
(*.f32 1 (/.f32 1 x))
(*.f32 (/.f32 1 x) 1)
(.f32 (.f32 1/2 (/.f32 1 x)) 2)
(*.f32 -1 (/.f32 -1 x))
(.f32 -1 (+.f32 (/.f32 1 x) (.f32 (/.f32 1 x) -2)))
(.f32 (.f32 1/2 (/.f32 -1 x)) -2)
(.f32 4 (.f32 (/.f32 1 x) 1/4))
(.f32 -1/2 (.f32 (/.f32 1 x) -2))
(.f32 -1/2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (.f32 (/.f32 1 x) -2))))
(*.f32 (/.f32 -1 x) -1)
(.f32 -2 (.f32 1/2 (/.f32 -1 x)))
(.f32 (.f32 2 (/.f32 1 x)) 1/2)
(.f32 1/4 (.f32 (/.f32 1 x) 4))
(.f32 (.f32 (/.f32 1 x) 1/4) 4)
(.f32 (.f32 (/.f32 1 x) 4) 1/4)
(.f32 (.f32 (/.f32 1 x) -2) -1/2)
(.f32 (+.f32 (/.f32 1 x) (.f32 (/.f32 1 x) -2)) -1)
(.f32 (+.f32 (.f32 (/.f32 1 x) 4) (*.f32 (/.f32 1 x) -2)) 1/2)
(.f32 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (.f32 (/.f32 1 x) -2))) -1/2)
(pow.f32 (/.f32 1 x) 1)
(neg.f32 (/.f32 -1 x))
(neg.f32 (+.f32 (/.f32 1 x) (*.f32 (/.f32 1 x) -2)))

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

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(log.f32 (+.f32 x x))

Compiler

Compiled 9 to 3 computations (66.7% saved)

series42.0ms (0.7%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(log.f32 (+.f32 x x))
16.0ms	x	@	-inf	(log.f32 (+.f32 x x))
6.0ms	x	@	inf	(log.f32 (+.f32 x x))

rewrite11.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

14×	`rational_best-simplify-2`
12×	`rational_best-4`
12×	`rational_best-2`
12×	`rational_best-3`
12×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	38	11
2	60	11
3	63	11
4	69	11
5	70	11

Stop Event

1×

saturated

Counts

1 → 7

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`rational_best-simplify-1`
6×	`rational_best-simplify-2`
4×	`rational_best-simplify-12`
4×	`rational_best-simplify-10`
4×	`rational_best-simplify-9`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	353
1	35	337
2	41	337
3	45	337

Stop Event

1×

saturated

Counts

19 → 13

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))
(+.f32 (log.f32 (+.f32 x x)) 0)
(+.f32 0 (log.f32 (+.f32 x x)))
(-.f32 (log.f32 (+.f32 x x)) 0)
(*.f32 (log.f32 (+.f32 x x)) 1)
(*.f32 1 (log.f32 (+.f32 x x)))
(/.f32 (log.f32 (+.f32 x x)) 1)
(pow.f32 (log.f32 (+.f32 x x)) 1)

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) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (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) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (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 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.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 (+.f32 x x)) 0)
(log.f32 (+.f32 x x))
(+.f32 0 (log.f32 (+.f32 x x)))
(log.f32 (+.f32 x x))
(-.f32 (log.f32 (+.f32 x x)) 0)
(log.f32 (+.f32 x x))
(*.f32 (log.f32 (+.f32 x x)) 1)
(log.f32 (+.f32 x x))
(*.f32 1 (log.f32 (+.f32 x x)))
(log.f32 (+.f32 x x))
(/.f32 (log.f32 (+.f32 x x)) 1)
(log.f32 (+.f32 x x))
(pow.f32 (log.f32 (+.f32 x x)) 1)
(log.f32 (+.f32 x x))

localize54.0ms (0.9%)

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)

series97.0ms (1.6%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
63.0ms	x	@	inf	(log.f32 (/.f32 1/2 x))
24.0ms	x	@	-inf	(log.f32 (/.f32 1/2 x))
10.0ms	x	@	0	(log.f32 (/.f32 1/2 x))

rewrite11.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

12×	`rational_best-4`
12×	`rational_best-2`
12×	`rational_best-3`
12×	`rational_best-simplify-2`
12×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	44	11
2	66	11

Stop Event

1×

saturated

Counts

1 → 7

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`rational_best-simplify-1`
4×	`rational_best-simplify-2`
2×	`rational_best-simplify-5`
2×	`rational_best-simplify-4`
2×	`rational_best-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	329
1	33	321
2	38	321
3	40	321

Stop Event

1×

saturated

Counts

19 → 13

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)))
(+.f32 (log.f32 (/.f32 1/2 x)) 0)
(+.f32 0 (log.f32 (/.f32 1/2 x)))
(-.f32 (log.f32 (/.f32 1/2 x)) 0)
(*.f32 (log.f32 (/.f32 1/2 x)) 1)
(*.f32 1 (log.f32 (/.f32 1/2 x)))
(/.f32 (log.f32 (/.f32 1/2 x)) 1)
(pow.f32 (log.f32 (/.f32 1/2 x)) 1)

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 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (neg.f32 (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) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (neg.f32 (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)))
(+.f32 (log.f32 (/.f32 1/2 x)) 0)
(log.f32 (/.f32 1/2 x))
(+.f32 0 (log.f32 (/.f32 1/2 x)))
(log.f32 (/.f32 1/2 x))
(-.f32 (log.f32 (/.f32 1/2 x)) 0)
(log.f32 (/.f32 1/2 x))
(*.f32 (log.f32 (/.f32 1/2 x)) 1)
(log.f32 (/.f32 1/2 x))
(*.f32 1 (log.f32 (/.f32 1/2 x)))
(log.f32 (/.f32 1/2 x))
(/.f32 (log.f32 (/.f32 1/2 x)) 1)
(log.f32 (/.f32 1/2 x))
(pow.f32 (log.f32 (/.f32 1/2 x)) 1)
(log.f32 (/.f32 1/2 x))

localize39.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f32 1 x)
✓	0.0b	(+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x))))
✓	0.1b	(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))

Compiler

Compiled 38 to 27 computations (28.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite88.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`rational_best-4`
1232×	`rational_best-2`
1232×	`rational_best-3`
1232×	`rational_best-1`
1230×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	69	54
2	100	54
3	138	54
4	223	54
5	398	54
6	723	54
7	1423	54
8	2721	54
9	4072	54
10	5824	54

Stop Event

1×	node limit

Counts

2 → 23

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))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (+.f32 (*.f32 -1/2 (/.f32 -1 x)) (*.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (+.f32 (*.f32 -1/2 (/.f32 -1 x)) (*.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (+.f32 x (*.f32 (/.f32 -1 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (+.f32 (*.f32 1/2 (/.f32 -1 x)) (+.f32 x (*.f32 (/.f32 1 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (+.f32 (neg.f32 x) (*.f32 (/.f32 1 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 -1/2 (/.f32 -1 x)) (*.f32 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (neg.f32 x) (*.f32 (/.f32 1 x) 1/4)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (*.f32 (/.f32 -1 x) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 1/2 (/.f32 -1 x)) (+.f32 x (*.f32 (/.f32 1 x) 1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 -1/2 (/.f32 -1 x)) (*.f32 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 (*.f32 -1/2 (/.f32 -1 x)) (*.f32 x -2)))))))

simplify37.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

224×	`rational_best-simplify-1`
172×	`rational_best-simplify-43`
46×	`rational_best-simplify-2`
10×	`rational_best-simplify-10`
8×	`rational_best-simplify-12`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	1609
1	157	1585
2	195	1585
3	248	1585
4	309	1585
5	349	1585
6	354	1585

Stop Event

1×

saturated

Counts

47 → 72

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 (log.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x)))) 0)
(+.f32 0 (log.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x)))))
(-.f32 (log.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x)))) 0)
(.f32 1 (log.f32 (+.f32 (+.f32 x x) (.f32 1/2 (/.f32 -1 x)))))
(.f32 (log.f32 (+.f32 (+.f32 x x) (.f32 1/2 (/.f32 -1 x)))) 1)
(/.f32 (log.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x)))) 1)
(pow.f32 (log.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x)))) 1)
(-.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x))) 0)
(-.f32 0 (+.f32 (.f32 -1/2 (/.f32 -1 x)) (.f32 x -2)))
(.f32 1 (+.f32 (+.f32 x x) (.f32 1/2 (/.f32 -1 x))))
(.f32 (+.f32 (+.f32 x x) (.f32 1/2 (/.f32 -1 x))) 1)
(.f32 -1 (+.f32 (.f32 -1/2 (/.f32 -1 x)) (*.f32 x -2)))
(.f32 2 (+.f32 x (.f32 (/.f32 -1 x) 1/4)))
(.f32 2 (+.f32 (.f32 1/2 (/.f32 -1 x)) (+.f32 x (*.f32 (/.f32 1 x) 1/4))))
(.f32 -2 (+.f32 (neg.f32 x) (.f32 (/.f32 1 x) 1/4)))
(.f32 (+.f32 (.f32 -1/2 (/.f32 -1 x)) (*.f32 x -2)) -1)
(.f32 (+.f32 (neg.f32 x) (.f32 (/.f32 1 x) 1/4)) -2)
(.f32 (+.f32 x (.f32 (/.f32 -1 x) 1/4)) 2)
(.f32 (+.f32 (.f32 1/2 (/.f32 -1 x)) (+.f32 x (*.f32 (/.f32 1 x) 1/4))) 2)
(/.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x))) 1)
(/.f32 (+.f32 (.f32 -1/2 (/.f32 -1 x)) (.f32 x -2)) -1)
(pow.f32 (+.f32 (+.f32 x x) (*.f32 1/2 (/.f32 -1 x))) 1)
(neg.f32 (+.f32 (.f32 -1/2 (/.f32 -1 x)) (.f32 x -2)))

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

localize34.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

series401.0ms (6.5%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
382.0ms	x	@	-inf	(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
15.0ms	x	@	0	(+.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))

rewrite13.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

22×	`rational_best-2`
22×	`rational_best-3`
22×	`rational_best-simplify-2`
22×	`rational_best-1`
22×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	72	36
2	104	36
3	107	36
4	114	36
5	116	36

Stop Event

1×

saturated

Counts

2 → 12

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

simplify169.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1534×	`rational_best-simplify-51`
1484×	`rational_best-simplify-1`
1440×	`rational_best-simplify-2`
1082×	`rational_best-simplify-49`
1012×	`rational_best-simplify-46`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	602
1	40	586
2	56	586
3	68	586
4	80	570
5	90	570
6	111	570
7	166	570
8	249	570
9	387	570
10	632	570
11	1031	570
12	1517	570
13	2453	570
14	3800	570
15	5522	570
16	7202	570
17	7449	570
18	7569	570

Stop Event

1×	node limit

Counts

32 → 21

Calls

Call 1

Inputs
(-.f32 (log.f32 2) (*.f32 -1 (log.f32 x)))
(-.f32 (log.f32 2) (*.f32 -1 (log.f32 x)))
(-.f32 (log.f32 2) (*.f32 -1 (log.f32 x)))
(-.f32 (log.f32 2) (*.f32 -1 (log.f32 x)))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(-.f32 (log.f32 2) (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1)))
(-.f32 (log.f32 2) (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1)))
(-.f32 (log.f32 2) (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1)))
(-.f32 (log.f32 2) (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1)))
(*.f32 -1 (log.f32 x))
(*.f32 -1 (log.f32 x))
(*.f32 -1 (log.f32 x))
(*.f32 -1 (log.f32 x))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 0)
(*.f32 1 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))))
(*.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 1)
(/.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 1)
(pow.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 1)
(+.f32 (log.f32 (/.f32 1 x)) 0)
(+.f32 0 (log.f32 (/.f32 1 x)))
(-.f32 (log.f32 (/.f32 1 x)) 0)
(*.f32 1 (log.f32 (/.f32 1 x)))
(*.f32 (log.f32 (/.f32 1 x)) 1)
(/.f32 (log.f32 (/.f32 1 x)) 1)
(pow.f32 (log.f32 (/.f32 1 x)) 1)

Outputs
(-.f32 (log.f32 2) (*.f32 -1 (log.f32 x)))
(-.f32 (log.f32 2) (neg.f32 (log.f32 x)))
(+.f32 (log.f32 2) (log.f32 x))
(-.f32 (log.f32 2) (*.f32 -1 (log.f32 x)))
(-.f32 (log.f32 2) (neg.f32 (log.f32 x)))
(+.f32 (log.f32 2) (log.f32 x))
(-.f32 (log.f32 2) (*.f32 -1 (log.f32 x)))
(-.f32 (log.f32 2) (neg.f32 (log.f32 x)))
(+.f32 (log.f32 2) (log.f32 x))
(-.f32 (log.f32 2) (*.f32 -1 (log.f32 x)))
(-.f32 (log.f32 2) (neg.f32 (log.f32 x)))
(+.f32 (log.f32 2) (log.f32 x))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(-.f32 (log.f32 2) (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1)))
(-.f32 (log.f32 2) (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1)))
(-.f32 (log.f32 2) (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1)))
(-.f32 (log.f32 2) (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1)))
(*.f32 -1 (log.f32 x))
(neg.f32 (log.f32 x))
(*.f32 -1 (log.f32 x))
(neg.f32 (log.f32 x))
(*.f32 -1 (log.f32 x))
(neg.f32 (log.f32 x))
(*.f32 -1 (log.f32 x))
(neg.f32 (log.f32 x))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 0)
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(*.f32 1 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))))
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(*.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 1)
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(/.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 1)
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(pow.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 1)
(-.f32 (log.f32 2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 (/.f32 1 x)) 0)
(log.f32 (/.f32 1 x))
(+.f32 0 (log.f32 (/.f32 1 x)))
(log.f32 (/.f32 1 x))
(-.f32 (log.f32 (/.f32 1 x)) 0)
(log.f32 (/.f32 1 x))
(*.f32 1 (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)) 1)
(log.f32 (/.f32 1 x))
(pow.f32 (log.f32 (/.f32 1 x)) 1)
(log.f32 (/.f32 1 x))

eval385.0ms (6.2%)

Compiler: Compiled 3791 to 3078 computations (18.8% saved)

prune227.0ms (3.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	266	2	268
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	267	7	274

Error

0.0b

Counts

274 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(+.f32 (log.f32 2) (log.f32 x))
✓	31.0b	(log.f32 (/.f32 1/2 x))
✓	0.5b	(log.f32 (-.f32 (.f32 x 2) (.f32 1/2 (/.f32 1 x))))
✓	0.5b	(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))
✓	17.1b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	0.8b	(log.f32 (+.f32 x x))
▶	0.5b	(log.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 -1 x)) (+.f32 x (*.f32 (/.f32 1 x) 1/4))) 2))

Compiler

Compiled 65 to 50 computations (23.1% saved)

localize140.0ms (2.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 -1 x)
	0.0b	(/.f32 1 x)
✓	0.0b	(+.f32 (.f32 1/2 (/.f32 -1 x)) (+.f32 x (.f32 (/.f32 1 x) 1/4)))
✓	0.1b	(log.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 -1 x)) (+.f32 x (*.f32 (/.f32 1 x) 1/4))) 2))

Compiler

Compiled 74 to 58 computations (21.6% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 -1 x)) (+.f32 x (*.f32 (/.f32 1 x) 1/4))) 2))
0.0ms	x	@	-inf	(log.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 -1 x)) (+.f32 x (*.f32 (/.f32 1 x) 1/4))) 2))
0.0ms	x	@	inf	(log.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 -1 x)) (+.f32 x (*.f32 (/.f32 1 x) 1/4))) 2))
0.0ms	x	@	0	(/.f32 -1 x)
0.0ms	x	@	0	(+.f32 (.f32 1/2 (/.f32 -1 x)) (+.f32 x (.f32 (/.f32 1 x) 1/4)))

rewrite14.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

36×	`rational_best-simplify-1`
34×	`rational_best-simplify-2`
28×	`rational_best-4`
28×	`rational_best-2`
28×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	91
1	110	91
2	149	91
3	161	91
4	162	91

Stop Event

1×

saturated

Counts

3 → 18

Calls

Call 1

Inputs
(log.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 -1 x)) (+.f32 x (*.f32 (/.f32 1 x) 1/4))) 2))
(+.f32 (.f32 1/2 (/.f32 -1 x)) (+.f32 x (.f32 (/.f32 1 x) 1/4)))
(/.f32 -1 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (+.f32 x (+.f32 (*.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (*.f32 (+.f32 x (+.f32 (*.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (*.f32 (+.f32 x (+.f32 (*.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (*.f32 (+.f32 x (+.f32 (*.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (*.f32 (+.f32 x (+.f32 (*.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (*.f32 (+.f32 x (+.f32 (*.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (*.f32 (+.f32 x (+.f32 (*.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 2)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (+.f32 (*.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (+.f32 (*.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (+.f32 (*.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x (+.f32 (*.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (+.f32 (*.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 1)))))

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

simplify34.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

216×	`rational_best-simplify-1`
170×	`rational_best-simplify-43`
40×	`rational_best-simplify-2`
10×	`rational_best-simplify-5`
6×	`rational_best-simplify-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	1432
1	133	1408
2	176	1408
3	237	1408
4	301	1408
5	343	1408
6	349	1408

Stop Event

1×

saturated

Counts

42 → 58

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 -1/4 x)
(-.f32 x (*.f32 1/4 (/.f32 1 x)))
(-.f32 x (*.f32 1/4 (/.f32 1 x)))
(-.f32 x (*.f32 1/4 (/.f32 1 x)))
x
(-.f32 x (*.f32 1/4 (/.f32 1 x)))
(-.f32 x (*.f32 1/4 (/.f32 1 x)))
(-.f32 x (*.f32 1/4 (/.f32 1 x)))
x
(-.f32 x (*.f32 1/4 (/.f32 1 x)))
(-.f32 x (*.f32 1/4 (/.f32 1 x)))
(-.f32 x (*.f32 1/4 (/.f32 1 x)))
(+.f32 (log.f32 (.f32 (+.f32 x (+.f32 (.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 2)) 0)
(+.f32 0 (log.f32 (.f32 (+.f32 x (+.f32 (.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 2)))
(-.f32 (log.f32 (.f32 (+.f32 x (+.f32 (.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 2)) 0)
(.f32 1 (log.f32 (.f32 (+.f32 x (+.f32 (.f32 1/2 (/.f32 -1 x)) (.f32 (/.f32 1 x) 1/4))) 2)))
(.f32 (log.f32 (.f32 (+.f32 x (+.f32 (.f32 1/2 (/.f32 -1 x)) (.f32 (/.f32 1 x) 1/4))) 2)) 1)
(/.f32 (log.f32 (.f32 (+.f32 x (+.f32 (.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 2)) 1)
(pow.f32 (log.f32 (.f32 (+.f32 x (+.f32 (.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 2)) 1)
(-.f32 (+.f32 x (+.f32 (.f32 1/2 (/.f32 -1 x)) (.f32 (/.f32 1 x) 1/4))) 0)
(.f32 1 (+.f32 x (+.f32 (.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))))
(.f32 (+.f32 x (+.f32 (.f32 1/2 (/.f32 -1 x)) (*.f32 (/.f32 1 x) 1/4))) 1)
(/.f32 (+.f32 x (+.f32 (.f32 1/2 (/.f32 -1 x)) (.f32 (/.f32 1 x) 1/4))) 1)
(pow.f32 (+.f32 x (+.f32 (.f32 1/2 (/.f32 -1 x)) (.f32 (/.f32 1 x) 1/4))) 1)
(+.f32 (/.f32 -1 x) 0)
(+.f32 0 (/.f32 -1 x))
(-.f32 (/.f32 -1 x) 0)
(*.f32 (/.f32 -1 x) 1)
(*.f32 1 (/.f32 -1 x))
(pow.f32 (/.f32 -1 x) 1)

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

localize17.0ms (0.3%)

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 (0.1%)

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))

rewrite89.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

16×	`rational_best-simplify-1`
14×	`rational_best-4`
14×	`rational_best-2`
14×	`rational_best-3`
14×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	51	15
2	75	15

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`rational_best-simplify-1`
6×	`rational_best-simplify-2`
4×	`rational_best-simplify-12`
4×	`rational_best-simplify-10`
4×	`rational_best-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	331
1	34	315
2	43	315
3	49	315

Stop Event

1×

saturated

Counts

13 → 11

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)))
(-.f32 (+.f32 (log.f32 2) (log.f32 x)) 0)
(*.f32 (+.f32 (log.f32 2) (log.f32 x)) 1)
(*.f32 1 (+.f32 (log.f32 2) (log.f32 x)))
(/.f32 (+.f32 (log.f32 2) (log.f32 x)) 1)
(pow.f32 (+.f32 (log.f32 2) (log.f32 x)) 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) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (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) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (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 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 2) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(+.f32 (log.f32 2) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 2) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(+.f32 (log.f32 2) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 2) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(+.f32 (log.f32 2) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 2) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(-.f32 (+.f32 (log.f32 2) (log.f32 x)) 0)
(+.f32 (log.f32 2) (log.f32 x))
(*.f32 (+.f32 (log.f32 2) (log.f32 x)) 1)
(+.f32 (log.f32 2) (log.f32 x))
(*.f32 1 (+.f32 (log.f32 2) (log.f32 x)))
(+.f32 (log.f32 2) (log.f32 x))
(/.f32 (+.f32 (log.f32 2) (log.f32 x)) 1)
(+.f32 (log.f32 2) (log.f32 x))
(pow.f32 (+.f32 (log.f32 2) (log.f32 x)) 1)
(+.f32 (log.f32 2) (log.f32 x))

eval38.0ms (0.6%)

Compiler: Compiled 1842 to 1543 computations (16.2% saved)

prune91.0ms (1.5%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	102	7	109

Error

0.0b

Counts

109 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(+.f32 (log.f32 2) (log.f32 x))
✓	31.0b	(log.f32 (/.f32 1/2 x))
✓	0.5b	(log.f32 (-.f32 (.f32 x 2) (.f32 1/2 (/.f32 1 x))))
✓	0.5b	(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))
✓	17.1b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	0.8b	(log.f32 (+.f32 x x))
✓	0.5b	(log.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 -1 x)) (+.f32 x (*.f32 (/.f32 1 x) 1/4))) 2))

Compiler

Compiled 65 to 50 computations (23.1% saved)

regimes16.0ms (0.3%)

Counts

8 → 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)))))
(log.f32 (-.f32 (.f32 x 2) (.f32 1/2 (/.f32 1 x))))
(log.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 -1 x)) (+.f32 x (*.f32 (/.f32 1 x) 1/4))) 2))
(+.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 (.f32 x 2) (.f32 1/2 (/.f32 1 x))))

Calls

3 calls:

6.0ms	x
4.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
4.0ms	(+.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 88 to 65 computations (26.1% saved)

regimes4.0ms (0.1%)

Counts

3 → 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)))))

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -30.3b remaining (-3894.3%)

Threshold costs -30.3b (-3894.3%)

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	17	69

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

soundness1.3s (20.3%)

Algorithm

1×	egg-herbie

Rules

1116×	`exponential-simplify-31`
546×	`rational_best-simplify-1`
488×	`rational_best-simplify-43`
46×	`rational_best-simplify-2`
26×	`rational_best-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	146	2245
1	235	2229
2	344	2229
3	498	2229
4	862	2229
5	971	2229
6	1042	2229
7	1054	2229
8	1054	2229
9	3010	2229
10	3136	2229
11	3151	2229
12	3151	2229
13	3151	2229
14	3151	2229
15	3151	2229
16	3151	2229

Stop Event

1×	node limit

Compiler

Compiled 21 to 17 computations (19% saved)

end20.0ms (0.3%)

Compiler: Compiled 25 to 18 computations (28% saved)

Details

analyze0.0ms (0%)

sample1.7s (27.3%)

preprocess13.0ms (0.2%)

simplify9.0ms (0.2%)

eval2.0ms (0%)

prune1.0ms (0%)

localize30.0ms (0.5%)

series4.0ms (0.1%)

rewrite23.0ms (0.4%)

simplify385.0ms (6.2%)

eval74.0ms (1.2%)

prune22.0ms (0.4%)

localize58.0ms (0.9%)

series2.0ms (0%)

rewrite83.0ms (1.3%)

simplify410.0ms (6.6%)

localize11.0ms (0.2%)

series42.0ms (0.7%)

rewrite11.0ms (0.2%)

simplify13.0ms (0.2%)

localize54.0ms (0.9%)

series97.0ms (1.6%)

rewrite11.0ms (0.2%)

simplify14.0ms (0.2%)

localize39.0ms (0.6%)

series1.0ms (0%)

rewrite88.0ms (1.4%)

simplify37.0ms (0.6%)

localize34.0ms (0.6%)

series401.0ms (6.5%)

rewrite13.0ms (0.2%)

simplify169.0ms (2.7%)

eval385.0ms (6.2%)

prune227.0ms (3.7%)

localize140.0ms (2.3%)

series2.0ms (0%)

rewrite14.0ms (0.2%)

simplify34.0ms (0.5%)

localize17.0ms (0.3%)

series7.0ms (0.1%)

rewrite89.0ms (1.4%)

simplify13.0ms (0.2%)

eval38.0ms (0.6%)

prune91.0ms (1.5%)

regimes16.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify2.0ms (0%)

soundness1.3s (20.3%)

end20.0ms (0.3%)

Profiling