Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
100%	99.6%	0%	0.4%	0%	0%	0%	1

Compiler

Compiled 4 to 3 computations (25% saved)

sample2.0s (29.5%)

Results

2.0s

8256×

body

256

valid

Bogosity

preprocess12.0ms (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
(asinh.f32 x)

Outputs
(asinh.f32 x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1972×	`rational.json-simplify-35`
868×	`rational.json-simplify-2`
866×	`rational.json-simplify-57`
844×	`rational.json-simplify-19`
816×	`rational.json-simplify-59`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	17	37
2	32	37
3	123	37
4	1244	37
5	3361	37
6	6832	37

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)

Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

20.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.4b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize113.0ms (1.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))
✓	8.3b	(sqrt.f32 (+.f32 (*.f32 x x) 1))
✓	11.3b	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))))

Compiler

Compiled 50 to 24 computations (52% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`rational.json-simplify-35`
1050×	`rational.json-1`
1050×	`rational.json-2`
1050×	`rational.json-3`
1048×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	82	75
2	191	75
3	690	75
4	4098	75

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 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 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 2 (/.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 4)) (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 4))) 16)))) (#(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 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 4)) (.f32 2 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 4)) (*.f32 2 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 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 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 2 (/.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 4)) (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 4))) 16)))) (#(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 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 4)) (*.f32 2 (*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 1)))))

simplify123.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1738×	`rational.json-simplify-35`
842×	`rational.json-simplify-41`
702×	`rational.json-simplify-1`
660×	`rational.json-simplify-44`
604×	`rational.json-simplify-59`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	2813
1	404	2743
2	820	2743
3	1932	2721
4	5142	2721
5	7550	2721

Stop Event

1×	node limit

Counts

79 → 155

Calls

Call 1

Inputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x))))
(+.f32 (.f32 -1/24 (.f32 (+.f32 (.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 4))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))))
(+.f32 (.f32 -1/24 (.f32 (+.f32 (.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 4))) (+.f32 (.f32 1/720 (.f32 (+.f32 (.f32 45 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (+.f32 (.f32 30 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 3))) (.f32 45 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))))) (pow.f32 x 6))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x))))))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -3 (fabs.f32 x)) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))))
(*.f32 -1 (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (*.f32 -3 (fabs.f32 x))) (pow.f32 x 3))))))
1
(+.f32 1 (*.f32 1/2 (pow.f32 x 2)))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/8 (pow.f32 x 4))))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 1/16 (pow.f32 x 6)) (*.f32 -1/8 (pow.f32 x 4)))))
x
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) x) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(*.f32 -1 x)
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 -1 x)) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 -1 x)) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/16 (/.f32 1 (pow.f32 x 5)))))
(+.f32 1 (fabs.f32 x))
(+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 -1/8 (pow.f32 x 4)) (fabs.f32 x))))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 1/16 (pow.f32 x 6)) (+.f32 (*.f32 -1/8 (pow.f32 x 4)) (fabs.f32 x)))))
x
(+.f32 (fabs.f32 x) x)
(+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (fabs.f32 x) x))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (fabs.f32 x) x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(*.f32 -1 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (fabs.f32 x) (.f32 -1 x))) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 0)
(+.f32 0 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))))
(-.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 0)
(.f32 1 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))))
(.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 1)
(.f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 2))
(.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 2) 1/2)
(.f32 1/2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 2))
(.f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 2) 2)
(/.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 1)
(/.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 2) 2)
(/.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 4) 4)
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 4))) 16)
(pow.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 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 2 (/.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 2))
(.f32 (.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 2) 1/2)
(.f32 1/2 (.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 2))
(.f32 (/.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 2) 2)
(/.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 1)
(/.f32 (.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 2) 2)
(/.f32 (.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 4) 4)
(/.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 4)) (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 4))) 16)
(pow.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 1)
(-.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 0)
(.f32 1 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))))
(.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 1)
(.f32 2 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 2))
(.f32 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 2) 1/2)
(.f32 1/2 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 2))
(.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 2) 2)
(/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 1)
(/.f32 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 2) 2)
(/.f32 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 4)) (.f32 2 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 4))) 16)
(pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 1)

Outputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (-.f32 (fabs.f32 x) -1))
(+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x))))
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))))
(+.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) (*.f32 1/2 (/.f32 (pow.f32 x 2) (-.f32 (fabs.f32 x) -1))))
(+.f32 (.f32 -1/24 (.f32 (+.f32 (.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 4))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))))
(+.f32 (+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x))))) (.f32 (+.f32 (.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (*.f32 (pow.f32 x 4) -1/24)))
(+.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (-.f32 (fabs.f32 x) -1))) (.f32 (.f32 3 (+.f32 (/.f32 1 (-.f32 (fabs.f32 x) -1)) (/.f32 1 (pow.f32 (-.f32 (fabs.f32 x) -1) 2)))) (.f32 -1/24 (pow.f32 x 4)))))
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (.f32 (.f32 3 (+.f32 (/.f32 1 (+.f32 1 (fabs.f32 x))) (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (.f32 -1/24 (pow.f32 x 4)))))
(+.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (-.f32 (fabs.f32 x) -1))) (.f32 -1/24 (.f32 3 (.f32 (pow.f32 x 4) (+.f32 (/.f32 1 (-.f32 (fabs.f32 x) -1)) (/.f32 1 (pow.f32 (-.f32 (fabs.f32 x) -1) 2))))))))
(+.f32 (.f32 -1/24 (.f32 (+.f32 (.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 4))) (+.f32 (.f32 1/720 (.f32 (+.f32 (.f32 45 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (+.f32 (.f32 30 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 3))) (.f32 45 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))))) (pow.f32 x 6))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x))))))
(+.f32 (.f32 (+.f32 (.f32 (/.f32 1 (+.f32 1 (fabs.f32 x))) 45) (+.f32 (.f32 30 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 3))) (.f32 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)) 45))) (.f32 (pow.f32 x 6) 1/720)) (+.f32 (+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x))))) (.f32 (+.f32 (.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (.f32 (pow.f32 x 4) -1/24))))
(+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (-.f32 (fabs.f32 x) -1))) (+.f32 (+.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) (.f32 (+.f32 (.f32 30 (/.f32 1 (pow.f32 (-.f32 (fabs.f32 x) -1) 3))) (.f32 45 (+.f32 (/.f32 1 (-.f32 (fabs.f32 x) -1)) (/.f32 1 (pow.f32 (-.f32 (fabs.f32 x) -1) 2))))) (.f32 1/720 (pow.f32 x 6)))) (.f32 (.f32 3 (+.f32 (/.f32 1 (-.f32 (fabs.f32 x) -1)) (/.f32 1 (pow.f32 (-.f32 (fabs.f32 x) -1) 2)))) (.f32 -1/24 (pow.f32 x 4)))))
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (+.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (.f32 (.f32 3 (+.f32 (/.f32 1 (+.f32 1 (fabs.f32 x))) (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (.f32 -1/24 (pow.f32 x 4)))) (.f32 (+.f32 (.f32 30 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 3))) (.f32 45 (+.f32 (/.f32 1 (+.f32 1 (fabs.f32 x))) (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))))) (.f32 1/720 (pow.f32 x 6)))))
(+.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) (+.f32 (.f32 (+.f32 (.f32 30 (/.f32 1 (pow.f32 (-.f32 (fabs.f32 x) -1) 3))) (.f32 45 (+.f32 (/.f32 1 (-.f32 (fabs.f32 x) -1)) (/.f32 1 (pow.f32 (-.f32 (fabs.f32 x) -1) 2))))) (.f32 1/720 (pow.f32 x 6))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (-.f32 (fabs.f32 x) -1))) (.f32 -1/24 (.f32 3 (.f32 (pow.f32 x 4) (+.f32 (/.f32 1 (-.f32 (fabs.f32 x) -1)) (/.f32 1 (pow.f32 (-.f32 (fabs.f32 x) -1) 2)))))))))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(neg.f32 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)))
(+.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)) (.f32 1/2 (/.f32 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (*.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (*.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) (*.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))))
(+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -3 (fabs.f32 x)) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)) (.f32 1/6 (/.f32 (+.f32 (.f32 (fabs.f32 x) -3) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3)))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (+.f32 (/.f32 (fabs.f32 x) x) (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))) (.f32 1/6 (/.f32 (+.f32 (.f32 (fabs.f32 x) -3) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)) (.f32 1/6 (/.f32 (+.f32 (.f32 (fabs.f32 x) -3) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3)))))
(+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) (+.f32 (.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (.f32 1/6 (/.f32 (+.f32 (.f32 (fabs.f32 x) -3) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3)))))
(*.f32 -1 (log.f32 (/.f32 -1 x)))
(neg.f32 (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x)))
(*.f32 -1 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 -1 x))))
(neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 x (fabs.f32 x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (.f32 -1 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 -1 x)))))
(+.f32 (*.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 x (fabs.f32 x)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (*.f32 -3 (fabs.f32 x))) (pow.f32 x 3))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1/6 (/.f32 (+.f32 (.f32 (fabs.f32 x) -3) (*.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 (fabs.f32 x) -3) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))) (*.f32 -1 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 -1 x))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 -1 x)))) (.f32 -1/6 (/.f32 (+.f32 (.f32 (fabs.f32 x) -3) (*.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3)))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (+.f32 (neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 x (fabs.f32 x)))) (.f32 -1/6 (/.f32 (+.f32 (.f32 (fabs.f32 x) -3) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3)))))
1
(+.f32 1 (*.f32 1/2 (pow.f32 x 2)))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/8 (pow.f32 x 4))))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 (pow.f32 x 4) -1/8)))
(+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 1 (.f32 (pow.f32 x 4) -1/8)))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 1/16 (pow.f32 x 6)) (*.f32 -1/8 (pow.f32 x 4)))))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 (pow.f32 x 4) -1/8) (*.f32 (pow.f32 x 6) 1/16))))
(+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 1 (+.f32 (.f32 (pow.f32 x 4) -1/8) (*.f32 (pow.f32 x 6) 1/16))))
x
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) x) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(+.f32 x (-.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(-.f32 (+.f32 x (.f32 1/2 (/.f32 1 x))) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(+.f32 (+.f32 x (.f32 1/16 (/.f32 1 (pow.f32 x 5)))) (-.f32 (.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(+.f32 (+.f32 x (.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 1/16 (/.f32 1 (pow.f32 x 5))) (-.f32 (.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))))
(+.f32 (-.f32 (+.f32 x (.f32 1/2 (/.f32 1 x))) (.f32 1/8 (/.f32 1 (pow.f32 x 3)))) (*.f32 1/16 (/.f32 1 (pow.f32 x 5))))
(*.f32 -1 x)
(*.f32 x -1)
(neg.f32 x)
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x -1) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 -1 x)) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 x -1) (-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (-.f32 (neg.f32 x) (.f32 1/2 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 -1 x)) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/16 (/.f32 1 (pow.f32 x 5)))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 x -1)) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/16 (/.f32 1 (pow.f32 x 5)))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (neg.f32 x)) (+.f32 (.f32 1/2 (/.f32 1 x)) (*.f32 1/16 (/.f32 1 (pow.f32 x 5)))))
(+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (-.f32 (neg.f32 x) (+.f32 (.f32 1/2 (/.f32 1 x)) (*.f32 1/16 (/.f32 1 (pow.f32 x 5))))))
(+.f32 1 (fabs.f32 x))
(-.f32 (fabs.f32 x) -1)
(+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))
(+.f32 1 (+.f32 (fabs.f32 x) (*.f32 1/2 (pow.f32 x 2))))
(+.f32 (-.f32 (fabs.f32 x) -1) (*.f32 1/2 (pow.f32 x 2)))
(+.f32 (+.f32 1 (fabs.f32 x)) (*.f32 1/2 (pow.f32 x 2)))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 -1/8 (pow.f32 x 4)) (fabs.f32 x))))
(+.f32 1 (+.f32 (.f32 (pow.f32 x 4) -1/8) (+.f32 (fabs.f32 x) (.f32 1/2 (pow.f32 x 2)))))
(+.f32 1 (+.f32 (fabs.f32 x) (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 (pow.f32 x 4) -1/8))))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (fabs.f32 x) (.f32 (pow.f32 x 4) -1/8))))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 1/16 (pow.f32 x 6)) (+.f32 (*.f32 -1/8 (pow.f32 x 4)) (fabs.f32 x)))))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 (pow.f32 x 4) -1/8) (+.f32 (fabs.f32 x) (*.f32 (pow.f32 x 6) 1/16)))))
(+.f32 1 (+.f32 (+.f32 (fabs.f32 x) (.f32 (pow.f32 x 4) -1/8)) (+.f32 (.f32 1/2 (pow.f32 x 2)) (*.f32 (pow.f32 x 6) 1/16))))
(+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 (pow.f32 x 6) 1/16) (+.f32 1 (+.f32 (fabs.f32 x) (*.f32 (pow.f32 x 4) -1/8)))))
x
(+.f32 (fabs.f32 x) x)
(+.f32 x (fabs.f32 x))
(+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (fabs.f32 x) x))
(+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 x (fabs.f32 x)))
(+.f32 x (+.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (fabs.f32 x) x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(+.f32 (+.f32 x (fabs.f32 x)) (-.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 x (fabs.f32 x))) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(+.f32 (fabs.f32 x) (-.f32 (+.f32 x (.f32 1/2 (/.f32 1 x))) (.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(*.f32 -1 x)
(*.f32 x -1)
(neg.f32 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(+.f32 (fabs.f32 x) (*.f32 x -1))
(+.f32 (fabs.f32 x) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 x -1)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (fabs.f32 x) (.f32 -1 x))) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (+.f32 (fabs.f32 x) (.f32 x -1)) (-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (.f32 1/2 (/.f32 1 x))))
(+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (.f32 1/2 (/.f32 1 x)))))
(+.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 0)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))))
(+.f32 0 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))))
(-.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 0)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))))
(.f32 1 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))))
(.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 1)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))))
(.f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 2))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))))
(.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 2) 1/2)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))))
(.f32 1/2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 2))
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))))
(.f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 2) 2)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))))
(/.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 1)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))))
(/.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 2) 2)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))))
(/.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 4) 4)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))))
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 4)) 8)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))))
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) 4))) 16)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))))
(pow.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) 1)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))))
(+.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 2 (/.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 2))
(sqrt.f32 (+.f32 1 (*.f32 x x)))
(.f32 (.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 2) 1/2)
(sqrt.f32 (+.f32 1 (*.f32 x x)))
(.f32 1/2 (.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 2))
(sqrt.f32 (+.f32 1 (*.f32 x x)))
(.f32 (/.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 2) 2)
(sqrt.f32 (+.f32 1 (*.f32 x x)))
(/.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 1)
(sqrt.f32 (+.f32 1 (*.f32 x x)))
(/.f32 (.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 2) 2)
(sqrt.f32 (+.f32 1 (*.f32 x x)))
(/.f32 (.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 4) 4)
(sqrt.f32 (+.f32 1 (*.f32 x x)))
(/.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (*.f32 x x) 1)) 4)) 8)
(sqrt.f32 (+.f32 1 (*.f32 x x)))
(/.f32 (+.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 4)) (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 x x) 1)) 4))) 16)
(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 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 0)
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x))))
(.f32 1 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x))))
(.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 1)
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x))))
(.f32 2 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 2))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x))))
(.f32 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 2) 1/2)
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x))))
(.f32 1/2 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 2))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x))))
(.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 2) 2)
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x))))
(/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 1)
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x))))
(/.f32 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 2) 2)
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x))))
(/.f32 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 4) 4)
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x))))
(/.f32 (.f32 2 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 4)) 8)
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x))))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 4)) (.f32 2 (.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1))) 4))) 16)
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x))))
(pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))) 1)
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x))))

eval66.0ms (1%)

Compiler: Compiled 3394 to 2313 computations (31.9% saved)

prune31.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	144	11	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	144	12	156

Error

10.9b

Counts

156 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	27.7b	(copysign.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))) x)
▶	27.5b	(copysign.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)) x)
	26.4b	(copysign.f32 (neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 x (fabs.f32 x)))) x)
	27.8b	(copysign.f32 (neg.f32 (log.f32 (/.f32 1 x))) x)
▶	26.8b	(copysign.f32 (neg.f32 (log.f32 (/.f32 -1 x))) x)
	21.3b	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x)
	23.9b	(copysign.f32 (log.f32 (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (fabs.f32 x) x))) x)
▶	21.3b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))) x)
✓	20.4b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
▶	21.5b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
▶	24.1b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
	26.7b	(copysign.f32 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) x)

Compiler

Compiled 271 to 195 computations (28% saved)

localize58.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))))
✓	0.0b	(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
✓	2.6b	(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))

Compiler

Compiled 61 to 37 computations (39.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite66.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`rational.json-1`
1408×	`rational.json-2`
1408×	`rational.json-3`
1406×	`exponential.json-3`
1406×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	93
1	104	93
2	257	93
3	749	75
4	4469	75

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 4) (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 (neg.f32 x) (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (+.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 (-.f32 1 x) (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 x) (-.f32 -1 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 1/2 x)) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 x) (-.f32 1 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (/.f32 1/2 x)) (-.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 1 x) (/.f32 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (-.f32 (neg.f32 x) (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (+.f32 x (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 x (/.f32 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x (/.f32 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 4) (.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 x (/.f32 1/2 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 4) (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 4) (*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 (neg.f32 x) (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (+.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 (-.f32 1 x) (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 x) (-.f32 -1 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 1/2 x)) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 x) (-.f32 1 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (/.f32 1/2 x)) (-.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 1 x) (/.f32 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 (neg.f32 x) (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (+.f32 x (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (/.f32 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x (/.f32 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 4) (*.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 x (/.f32 1/2 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 4) (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 1)))))

simplify112.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational.json-simplify-35`
1210×	`rational.json-simplify-51`
986×	`rational.json-simplify-2`
808×	`rational.json-simplify-59`
772×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	165	2719
1	319	2451
2	669	2451
3	1525	2423
4	3842	2315
5	6273	2315

Stop Event

1×	node limit

Counts

89 → 119

Calls

Call 1

Inputs
(/.f32 -1/2 x)
(-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(/.f32 -1/2 x)
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -2 (.f32 (fabs.f32 x) x)) (*.f32 -1 (log.f32 x))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (+.f32 (.f32 -2 (.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 x)))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (+.f32 (.f32 -2 (.f32 (fabs.f32 x) x)) (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (.f32 24 (fabs.f32 x))) (pow.f32 x 3))) (.f32 -1 (log.f32 x))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 -1))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x)))))
(+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (.f32 3 (fabs.f32 x))) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (*.f32 -1 (/.f32 (fabs.f32 x) x))))))
(*.f32 -1 (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (*.f32 -3 (fabs.f32 x))) (pow.f32 x 3))))))
(-.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 0)
(.f32 1/2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2))
(*.f32 1 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 1)
(*.f32 2 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2))
(.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2) 1/2)
(*.f32 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2) 2)
(/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 1)
(/.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2) 2)
(/.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 4) 4)
(/.f32 (+.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 4) (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 4)) 8)
(pow.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 1)
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 0)
(+.f32 0 (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(+.f32 -1 (-.f32 1 (+.f32 x (/.f32 1/2 x))))
(+.f32 -1 (-.f32 (-.f32 1 x) (/.f32 1/2 x)))
(+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (-.f32 1 x) (-.f32 -1 (/.f32 1/2 x)))
(+.f32 (neg.f32 (/.f32 1/2 x)) (neg.f32 x))
(+.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) -1)
(+.f32 (-.f32 -1 x) (-.f32 1 (/.f32 1/2 x)))
(+.f32 (-.f32 1 (/.f32 1/2 x)) (-.f32 -1 x))
(+.f32 (-.f32 (-.f32 1 x) (/.f32 1/2 x)) -1)
(.f32 1/2 (.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2))
(*.f32 1 (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(*.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 1)
(*.f32 -1 (+.f32 x (/.f32 1/2 x)))
(*.f32 2 (/.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2))
(.f32 (.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2) 1/2)
(*.f32 (+.f32 x (/.f32 1/2 x)) -1)
(*.f32 (/.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2) 2)
(/.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 1)
(/.f32 (*.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2) 2)
(/.f32 (+.f32 x (/.f32 1/2 x)) -1)
(/.f32 (*.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 4) 4)
(/.f32 (+.f32 (.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 4) (.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 4)) 8)
(pow.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 1)
(neg.f32 (+.f32 x (/.f32 1/2 x)))
(+.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 0)
(+.f32 0 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))))
(-.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 0)
(.f32 1/2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2))
(*.f32 1 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))))
(*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 1)
(*.f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2))
(.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2) 1/2)
(*.f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2) 2)
(/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 1)
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2) 2)
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 4) 4)
(/.f32 (+.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 4) (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 4)) 8)
(pow.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 1)

Outputs
(/.f32 -1/2 x)
(-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(*.f32 -1 x)
(neg.f32 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(+.f32 (fabs.f32 x) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(*.f32 -1 x)
(neg.f32 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(+.f32 (fabs.f32 x) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(/.f32 -1/2 x)
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(neg.f32 x)
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(neg.f32 x)
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 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 (.f32 -2 (.f32 (fabs.f32 x) x)) (*.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -1 (log.f32 x)) (.f32 (fabs.f32 x) (*.f32 x -2))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (.f32 x (.f32 -2 (fabs.f32 x)))))
(+.f32 (neg.f32 (log.f32 x)) (+.f32 (log.f32 -1/2) (.f32 x (.f32 (fabs.f32 x) -2))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x -2))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (+.f32 (.f32 -2 (.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (.f32 -1 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x -2))) (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 x (.f32 -2 (fabs.f32 x)))) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 x (.f32 (fabs.f32 x) -2))) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x -2))) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (+.f32 (.f32 -2 (.f32 (fabs.f32 x) x)) (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (.f32 24 (fabs.f32 x))) (pow.f32 x 3))) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) 24)) (pow.f32 x 3))) (+.f32 (.f32 -1 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x -2)))) (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 x (.f32 -2 (fabs.f32 x))) (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) 24)) (pow.f32 x 3)))))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 x (.f32 (fabs.f32 x) -2))) (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) 24)) (pow.f32 x 3))))))
(+.f32 (+.f32 (log.f32 -1/2) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x -2))) (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))) (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) 24)) (pow.f32 x 3))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 -1))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (log.f32 -1))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (log.f32 -1) (*.f32 -1 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 (fabs.f32 x) x))))
(+.f32 (log.f32 -1) (neg.f32 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 x (fabs.f32 x)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x)))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x))) (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (+.f32 (log.f32 -1) (.f32 -1 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 (fabs.f32 x) x)))) (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))
(+.f32 (+.f32 (log.f32 -1) (neg.f32 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 x (fabs.f32 x))))) (*.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))))
(+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (.f32 3 (fabs.f32 x))) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (*.f32 -1 (/.f32 (fabs.f32 x) x))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x)))) (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) 3)) (pow.f32 x 3)))))
(+.f32 (+.f32 (log.f32 -1) (.f32 -1 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 (fabs.f32 x) x)))) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) 3)) (pow.f32 x 3))) (*.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (+.f32 (log.f32 -1) (.f32 -1 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 (fabs.f32 x) x)))) (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) 3)) (pow.f32 x 3)))))
(+.f32 (log.f32 -1) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) 3)) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (neg.f32 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 x (fabs.f32 x)))))))
(*.f32 -1 (log.f32 (/.f32 -1 x)))
(neg.f32 (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 (/.f32 -1 x))))
(*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 (fabs.f32 x) x)))
(*.f32 -1 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 -1 x))))
(neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 x (fabs.f32 x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (.f32 -1 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 -1 x)))))
(+.f32 (*.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 x (fabs.f32 x)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (*.f32 -3 (fabs.f32 x))) (pow.f32 x 3))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) -3)) (pow.f32 x 3))) (*.f32 -1 (log.f32 (/.f32 -1 x))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) -3)) (pow.f32 x 3))) (*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 (fabs.f32 x) x)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 -1 x)))) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) -3)) (pow.f32 x 3)))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (+.f32 (neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 x (fabs.f32 x)))) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) -3)) (pow.f32 x 3)))))
(-.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 0)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(.f32 1/2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(*.f32 1 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 1)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(*.f32 2 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2) 1/2)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(*.f32 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2) 2)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 1)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(/.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 2) 2)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(/.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 4) 4)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(/.f32 (+.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 4) (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 4)) 8)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(pow.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))) 1)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 0)
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 0 (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 -1 (-.f32 1 (+.f32 x (/.f32 1/2 x))))
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 -1 (-.f32 (-.f32 1 x) (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 (-.f32 1 x) (-.f32 -1 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 (neg.f32 (/.f32 1/2 x)) (neg.f32 x))
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) -1)
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 (-.f32 -1 x) (-.f32 1 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 (-.f32 1 (/.f32 1/2 x)) (-.f32 -1 x))
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 (-.f32 (-.f32 1 x) (/.f32 1/2 x)) -1)
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(.f32 1/2 (.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2))
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(*.f32 1 (-.f32 (neg.f32 x) (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(*.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 1)
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(*.f32 -1 (+.f32 x (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(*.f32 2 (/.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2))
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(.f32 (.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2) 1/2)
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(*.f32 (+.f32 x (/.f32 1/2 x)) -1)
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(*.f32 (/.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2) 2)
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(/.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 1)
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(/.f32 (*.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 2) 2)
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(/.f32 (+.f32 x (/.f32 1/2 x)) -1)
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(/.f32 (*.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 4) 4)
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(/.f32 (+.f32 (.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 4) (.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 4)) 8)
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(pow.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 1)
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(neg.f32 (+.f32 x (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 0)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(+.f32 0 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(-.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 0)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(.f32 1/2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(*.f32 1 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 1)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(*.f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2) 1/2)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(*.f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2) 2)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 1)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 2) 2)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 4) 4)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(/.f32 (+.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 4) (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 4)) 8)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(pow.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x)))) 1)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (/.f32 1/2 x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))

localize28.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series42.0ms (0.6%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(log.f32 (/.f32 -1 x))
13.0ms	x	@	-inf	(log.f32 (/.f32 -1 x))
8.0ms	x	@	inf	(log.f32 (/.f32 -1 x))

rewrite102.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`rational.json-1`
1438×	`rational.json-simplify-35`
960×	`rational.json-2`
960×	`rational.json-3`
946×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	51	11
2	131	11
3	271	11
4	549	11
5	1436	11
6	3819	11
7	7659	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(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 (sqrt.f32 (/.f32 -1 x))) (log.f32 (sqrt.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 (log.f32 (/.f32 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (/.f32 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (pow.f32 (/.f32 1 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (log.f32 (/.f32 -1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (/.f32 -1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (log.f32 (pow.f32 (/.f32 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (log.f32 (/.f32 -1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (sqrt.f32 (/.f32 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (/.f32 -1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (/.f32 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (pow.f32 (/.f32 1 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (/.f32 -1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (/.f32 -1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log.f32 (/.f32 -1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (log.f32 (/.f32 -1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (log.f32 (/.f32 -1 x)) 8))) (*.f32 2 (*.f32 2 (*.f32 (log.f32 (/.f32 -1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (/.f32 -1 x)) 1)))))

simplify766.0ms (11.3%)

Algorithm

1×	egg-herbie

Rules

6472×	`rational.json-simplify-41`
2956×	`rational.json-simplify-35`
1476×	`rational.json-simplify-49`
1418×	`rational.json-simplify-2`
956×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	442
1	106	434
2	223	434
3	710	434
4	1311	434
5	2422	434
6	2966	434
7	3053	434
8	3108	434
9	3149	434
10	3658	434
11	3820	434
12	3900	434
13	3980	434
14	4039	434
15	4098	434
16	4157	434
17	4216	434
18	4275	434
19	5335	434
20	5566	434
21	5618	434
22	5664	434
23	5708	434
24	5751	434
25	6025	434
26	6068	434
27	6111	434
28	6154	434
29	6197	434
30	6240	434
31	6240	434
32	6283	434
33	6326	434
34	6369	434
35	6412	434

Stop Event

1×	node limit

Counts

30 → 29

Calls

Call 1

Inputs
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1) (*.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 (log.f32 (/.f32 -1 x)) 0)
(+.f32 0 (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 (sqrt.f32 (/.f32 -1 x))) (log.f32 (sqrt.f32 (/.f32 -1 x))))
(-.f32 (log.f32 (/.f32 -1 x)) 0)
(*.f32 (log.f32 (/.f32 -1 x)) 1)
(*.f32 1 (log.f32 (/.f32 -1 x)))
(*.f32 2 (log.f32 (sqrt.f32 (/.f32 -1 x))))
(*.f32 (log.f32 (pow.f32 (/.f32 1 x) 2)) 1/2)
(*.f32 4 (/.f32 (log.f32 (/.f32 -1 x)) 4))
(.f32 (.f32 (log.f32 (/.f32 -1 x)) 4) 1/4)
(*.f32 1/2 (log.f32 (pow.f32 (/.f32 1 x) 2)))
(.f32 1/4 (.f32 (log.f32 (/.f32 -1 x)) 4))
(*.f32 (log.f32 (sqrt.f32 (/.f32 -1 x))) 2)
(*.f32 (/.f32 (log.f32 (/.f32 -1 x)) 4) 4)
(/.f32 (log.f32 (/.f32 -1 x)) 1)
(/.f32 (log.f32 (pow.f32 (/.f32 1 x) 2)) 2)
(/.f32 (*.f32 (log.f32 (/.f32 -1 x)) 4) 4)
(/.f32 (*.f32 (log.f32 (/.f32 -1 x)) 8) 8)
(/.f32 (.f32 2 (.f32 (log.f32 (/.f32 -1 x)) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (*.f32 (log.f32 (/.f32 -1 x)) 8))) 32)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log.f32 (/.f32 -1 x)) 8))) (.f32 2 (.f32 2 (.f32 (log.f32 (/.f32 -1 x)) 8)))) 64)
(pow.f32 (log.f32 (/.f32 -1 x)) 1)

Outputs
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1) (neg.f32 (log.f32 x)))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1) (neg.f32 (log.f32 x)))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1) (neg.f32 (log.f32 x)))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1) (neg.f32 (log.f32 x)))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 -1))
(+.f32 (log.f32 -1) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 -1))
(+.f32 (log.f32 -1) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 -1))
(+.f32 (log.f32 -1) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 -1))
(+.f32 (log.f32 -1) (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 (sqrt.f32 (/.f32 -1 x))) (log.f32 (sqrt.f32 (/.f32 -1 x))))
(log.f32 (/.f32 -1 x))
(-.f32 (log.f32 (/.f32 -1 x)) 0)
(log.f32 (/.f32 -1 x))
(*.f32 (log.f32 (/.f32 -1 x)) 1)
(log.f32 (/.f32 -1 x))
(*.f32 1 (log.f32 (/.f32 -1 x)))
(log.f32 (/.f32 -1 x))
(*.f32 2 (log.f32 (sqrt.f32 (/.f32 -1 x))))
(log.f32 (/.f32 -1 x))
(*.f32 (log.f32 (pow.f32 (/.f32 1 x) 2)) 1/2)
(log.f32 (sqrt.f32 (pow.f32 (/.f32 1 x) 2)))
(log.f32 (pow.f32 (sqrt.f32 (/.f32 1 x)) 2))
(*.f32 4 (/.f32 (log.f32 (/.f32 -1 x)) 4))
(log.f32 (/.f32 -1 x))
(.f32 (.f32 (log.f32 (/.f32 -1 x)) 4) 1/4)
(log.f32 (/.f32 -1 x))
(*.f32 1/2 (log.f32 (pow.f32 (/.f32 1 x) 2)))
(log.f32 (sqrt.f32 (pow.f32 (/.f32 1 x) 2)))
(log.f32 (pow.f32 (sqrt.f32 (/.f32 1 x)) 2))
(.f32 1/4 (.f32 (log.f32 (/.f32 -1 x)) 4))
(log.f32 (/.f32 -1 x))
(*.f32 (log.f32 (sqrt.f32 (/.f32 -1 x))) 2)
(log.f32 (/.f32 -1 x))
(*.f32 (/.f32 (log.f32 (/.f32 -1 x)) 4) 4)
(log.f32 (/.f32 -1 x))
(/.f32 (log.f32 (/.f32 -1 x)) 1)
(log.f32 (/.f32 -1 x))
(/.f32 (log.f32 (pow.f32 (/.f32 1 x) 2)) 2)
(/.f32 (*.f32 (log.f32 (/.f32 -1 x)) 4) 4)
(log.f32 (/.f32 -1 x))
(/.f32 (*.f32 (log.f32 (/.f32 -1 x)) 8) 8)
(log.f32 (/.f32 -1 x))
(/.f32 (.f32 2 (.f32 (log.f32 (/.f32 -1 x)) 8)) 16)
(log.f32 (/.f32 -1 x))
(/.f32 (.f32 2 (.f32 2 (*.f32 (log.f32 (/.f32 -1 x)) 8))) 32)
(log.f32 (/.f32 -1 x))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log.f32 (/.f32 -1 x)) 8))) (.f32 2 (.f32 2 (.f32 (log.f32 (/.f32 -1 x)) 8)))) 64)
(log.f32 (/.f32 -1 x))
(pow.f32 (log.f32 (/.f32 -1 x)) 1)
(log.f32 (/.f32 -1 x))

localize23.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(log.f32 (+.f32 (fabs.f32 x) x))

Compiler

Compiled 20 to 5 computations (75% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`rational.json-simplify-35`
1216×	`rational.json-1`
1216×	`rational.json-2`
1216×	`rational.json-3`
1214×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	48	15
2	127	15
3	470	15
4	3702	15

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x (fabs.f32 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (fabs.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 x (fabs.f32 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (fabs.f32 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (fabs.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (log.f32 (+.f32 x (fabs.f32 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 x (fabs.f32 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 (+.f32 x (fabs.f32 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (+.f32 x (fabs.f32 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 x (fabs.f32 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 x (fabs.f32 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 x (fabs.f32 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log.f32 (+.f32 x (fabs.f32 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (log.f32 (+.f32 x (fabs.f32 x))) 4)) (*.f32 2 (*.f32 (log.f32 (+.f32 x (fabs.f32 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (fabs.f32 x))) 1)))))

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1186×	`rational.json-simplify-1`
1180×	`rational.json-simplify-46`
924×	`rational.json-simplify-35`
804×	`rational.json-simplify-41`
740×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	887
1	168	871
2	343	871
3	798	871
4	2782	871
5	6208	871

Stop Event

1×	node limit

Counts

27 → 62

Calls

Call 1

Inputs
(log.f32 (fabs.f32 x))
(+.f32 (log.f32 (fabs.f32 x)) (/.f32 x (fabs.f32 x)))
(+.f32 (*.f32 -1/2 (/.f32 (pow.f32 x 2) (pow.f32 (fabs.f32 x) 2))) (+.f32 (log.f32 (fabs.f32 x)) (/.f32 x (fabs.f32 x))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 x 2) (pow.f32 (fabs.f32 x) 2))) (+.f32 (log.f32 (fabs.f32 x)) (+.f32 (.f32 1/3 (/.f32 (pow.f32 x 3) (pow.f32 (fabs.f32 x) 3))) (/.f32 x (fabs.f32 x)))))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (+.f32 (*.f32 1/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 x 3))) (/.f32 (fabs.f32 x) x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (+.f32 (log.f32 -1) (+.f32 (*.f32 1/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 x 3))) (/.f32 (fabs.f32 x) x)))))
(+.f32 (log.f32 (+.f32 x (fabs.f32 x))) 0)
(+.f32 0 (log.f32 (+.f32 x (fabs.f32 x))))
(-.f32 (log.f32 (+.f32 x (fabs.f32 x))) 0)
(*.f32 (log.f32 (+.f32 x (fabs.f32 x))) 1)
(*.f32 1 (log.f32 (+.f32 x (fabs.f32 x))))
(*.f32 2 (/.f32 (log.f32 (+.f32 x (fabs.f32 x))) 2))
(.f32 (.f32 (log.f32 (+.f32 x (fabs.f32 x))) 2) 1/2)
(.f32 1/2 (.f32 (log.f32 (+.f32 x (fabs.f32 x))) 2))
(*.f32 (/.f32 (log.f32 (+.f32 x (fabs.f32 x))) 2) 2)
(/.f32 (log.f32 (+.f32 x (fabs.f32 x))) 1)
(/.f32 (*.f32 (log.f32 (+.f32 x (fabs.f32 x))) 2) 2)
(/.f32 (*.f32 (log.f32 (+.f32 x (fabs.f32 x))) 4) 4)
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 x (fabs.f32 x))) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 x (fabs.f32 x))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 x (fabs.f32 x))) 4))) 16)
(pow.f32 (log.f32 (+.f32 x (fabs.f32 x))) 1)

Outputs
(log.f32 (fabs.f32 x))
(+.f32 (log.f32 (fabs.f32 x)) (/.f32 x (fabs.f32 x)))
(+.f32 (*.f32 -1/2 (/.f32 (pow.f32 x 2) (pow.f32 (fabs.f32 x) 2))) (+.f32 (log.f32 (fabs.f32 x)) (/.f32 x (fabs.f32 x))))
(+.f32 (+.f32 (log.f32 (fabs.f32 x)) (/.f32 x (fabs.f32 x))) (*.f32 -1/2 (/.f32 (pow.f32 x 2) (pow.f32 (fabs.f32 x) 2))))
(+.f32 (log.f32 (fabs.f32 x)) (+.f32 (/.f32 x (fabs.f32 x)) (*.f32 -1/2 (/.f32 (pow.f32 x 2) (pow.f32 (fabs.f32 x) 2)))))
(+.f32 (log.f32 (fabs.f32 x)) (+.f32 (*.f32 -1/2 (/.f32 (pow.f32 x 2) (pow.f32 (fabs.f32 x) 2))) (/.f32 x (fabs.f32 x))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 x 2) (pow.f32 (fabs.f32 x) 2))) (+.f32 (log.f32 (fabs.f32 x)) (+.f32 (.f32 1/3 (/.f32 (pow.f32 x 3) (pow.f32 (fabs.f32 x) 3))) (/.f32 x (fabs.f32 x)))))
(+.f32 (log.f32 (fabs.f32 x)) (+.f32 (+.f32 (/.f32 x (fabs.f32 x)) (.f32 1/3 (/.f32 (pow.f32 x 3) (pow.f32 (fabs.f32 x) 3)))) (.f32 -1/2 (/.f32 (pow.f32 x 2) (pow.f32 (fabs.f32 x) 2)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 x 2) (pow.f32 (fabs.f32 x) 2))) (+.f32 (+.f32 (log.f32 (fabs.f32 x)) (/.f32 x (fabs.f32 x))) (.f32 1/3 (/.f32 (pow.f32 x 3) (pow.f32 (fabs.f32 x) 3)))))
(+.f32 (log.f32 (fabs.f32 x)) (+.f32 (/.f32 x (fabs.f32 x)) (+.f32 (.f32 1/3 (/.f32 (pow.f32 x 3) (pow.f32 (fabs.f32 x) 3))) (.f32 -1/2 (/.f32 (pow.f32 x 2) (pow.f32 (fabs.f32 x) 2))))))
(+.f32 (log.f32 (fabs.f32 x)) (+.f32 (.f32 1/3 (/.f32 (pow.f32 x 3) (pow.f32 (fabs.f32 x) 3))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 x 2) (pow.f32 (fabs.f32 x) 2))) (/.f32 x (fabs.f32 x)))))
(+.f32 (log.f32 (fabs.f32 x)) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 x 2) (pow.f32 (fabs.f32 x) 2))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 x 3) (pow.f32 (fabs.f32 x) 3))) (/.f32 x (fabs.f32 x)))))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(neg.f32 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2)))))
(+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)) (*.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (*.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2)))))
(+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) (*.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (/.f32 x (fabs.f32 x)) (*.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2)))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (+.f32 (*.f32 1/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 x 3))) (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (+.f32 (/.f32 (fabs.f32 x) x) (*.f32 1/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 x 3))))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (.f32 1/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 x 3))))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (/.f32 x (fabs.f32 x)) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (.f32 1/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 x 3))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 -1)))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 -1)))
(+.f32 (/.f32 x (fabs.f32 x)) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 -1)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 -1))))
(+.f32 (*.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1))))
(+.f32 (*.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 -1))))
(+.f32 (/.f32 x (fabs.f32 x)) (+.f32 (*.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (+.f32 (log.f32 -1) (+.f32 (*.f32 1/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 x 3))) (/.f32 (fabs.f32 x) x)))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (+.f32 (*.f32 1/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 x 3))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 -1)))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (.f32 1/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 x 3))))) (neg.f32 (log.f32 (/.f32 -1 x)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 x 3))) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 -1)))))
(+.f32 (+.f32 (/.f32 x (fabs.f32 x)) (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2)))) (+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)) (.f32 1/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 x 3)))))
(+.f32 (/.f32 x (fabs.f32 x)) (+.f32 (.f32 1/3 (/.f32 (pow.f32 (fabs.f32 x) 3) (pow.f32 x 3))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (fabs.f32 x) 2) (pow.f32 x 2))) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))))
(+.f32 (log.f32 (+.f32 x (fabs.f32 x))) 0)
(log.f32 (+.f32 x (fabs.f32 x)))
(+.f32 0 (log.f32 (+.f32 x (fabs.f32 x))))
(log.f32 (+.f32 x (fabs.f32 x)))
(-.f32 (log.f32 (+.f32 x (fabs.f32 x))) 0)
(log.f32 (+.f32 x (fabs.f32 x)))
(*.f32 (log.f32 (+.f32 x (fabs.f32 x))) 1)
(log.f32 (+.f32 x (fabs.f32 x)))
(*.f32 1 (log.f32 (+.f32 x (fabs.f32 x))))
(log.f32 (+.f32 x (fabs.f32 x)))
(*.f32 2 (/.f32 (log.f32 (+.f32 x (fabs.f32 x))) 2))
(log.f32 (+.f32 x (fabs.f32 x)))
(.f32 (.f32 (log.f32 (+.f32 x (fabs.f32 x))) 2) 1/2)
(log.f32 (+.f32 x (fabs.f32 x)))
(.f32 1/2 (.f32 (log.f32 (+.f32 x (fabs.f32 x))) 2))
(log.f32 (+.f32 x (fabs.f32 x)))
(*.f32 (/.f32 (log.f32 (+.f32 x (fabs.f32 x))) 2) 2)
(log.f32 (+.f32 x (fabs.f32 x)))
(/.f32 (log.f32 (+.f32 x (fabs.f32 x))) 1)
(log.f32 (+.f32 x (fabs.f32 x)))
(/.f32 (*.f32 (log.f32 (+.f32 x (fabs.f32 x))) 2) 2)
(log.f32 (+.f32 x (fabs.f32 x)))
(/.f32 (*.f32 (log.f32 (+.f32 x (fabs.f32 x))) 4) 4)
(log.f32 (+.f32 x (fabs.f32 x)))
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 x (fabs.f32 x))) 4)) 8)
(log.f32 (+.f32 x (fabs.f32 x)))
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 x (fabs.f32 x))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 x (fabs.f32 x))) 4))) 16)
(log.f32 (+.f32 x (fabs.f32 x)))
(pow.f32 (log.f32 (+.f32 x (fabs.f32 x))) 1)
(log.f32 (+.f32 x (fabs.f32 x)))

localize27.0ms (0.4%)

Compiler: Compiled 25 to 6 computations (76% saved)

localize45.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 43 to 24 computations (44.2% saved)

series7.0ms (0.1%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(log.f32 (/.f32 1 x))
1.0ms	x	@	0	(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
0.0ms	x	@	-inf	(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
0.0ms	x	@	inf	(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
0.0ms	x	@	-inf	(log.f32 (/.f32 1 x))

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`rational.json-simplify-35`
1152×	`rational.json-1`
1152×	`rational.json-2`
1152×	`rational.json-3`
1148×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	90	42
2	236	42
3	735	42
4	3897	42

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 x (fabs.f32 x)) (-.f32 1 (log.f32 (/.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 4)) (*.f32 2 (*.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 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 2 (/.f32 (log.f32 (/.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (/.f32 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 (/.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (/.f32 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (/.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (/.f32 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (/.f32 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log.f32 (/.f32 1 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (log.f32 (/.f32 1 x)) 4)) (*.f32 2 (*.f32 (log.f32 (/.f32 1 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (/.f32 1 x)) 1)))))

simplify121.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1330×	`rational.json-simplify-53`
1100×	`rational.json-simplify-35`
1002×	`rational.json-simplify-2`
616×	`rational.json-simplify-46`
604×	`rational.json-simplify-59`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	1065
1	142	1049
2	329	1049
3	973	1049
4	2788	1049
5	5123	1049
6	7883	1049

Stop Event

1×	node limit

Counts

49 → 50

Calls

Call 1

Inputs
(/.f32 (fabs.f32 x) x)
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1)))
(+.f32 (*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))) (/.f32 (fabs.f32 x) x))
(+.f32 (*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))) (/.f32 (fabs.f32 x) x))
(+.f32 (*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))) (/.f32 (fabs.f32 x) x))
(*.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 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 0)
(-.f32 (+.f32 (/.f32 x (fabs.f32 x)) (-.f32 1 (log.f32 (/.f32 1 x)))) 1)
(*.f32 1 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))))
(*.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 1)
(*.f32 2 (/.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 2))
(.f32 (.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 2) 1/2)
(.f32 1/2 (.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 2))
(*.f32 (/.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 2) 2)
(/.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 1)
(/.f32 (*.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 2) 2)
(/.f32 (*.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 4)) (.f32 2 (.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 4))) 16)
(pow.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 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 2 (/.f32 (log.f32 (/.f32 1 x)) 2))
(.f32 (.f32 (log.f32 (/.f32 1 x)) 2) 1/2)
(.f32 1/2 (.f32 (log.f32 (/.f32 1 x)) 2))
(*.f32 (/.f32 (log.f32 (/.f32 1 x)) 2) 2)
(/.f32 (log.f32 (/.f32 1 x)) 1)
(/.f32 (*.f32 (log.f32 (/.f32 1 x)) 2) 2)
(/.f32 (*.f32 (log.f32 (/.f32 1 x)) 4) 4)
(/.f32 (.f32 2 (.f32 (log.f32 (/.f32 1 x)) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (/.f32 1 x)) 4)) (.f32 2 (.f32 (log.f32 (/.f32 1 x)) 4))) 16)
(pow.f32 (log.f32 (/.f32 1 x)) 1)

Outputs
(/.f32 (fabs.f32 x) x)
(/.f32 x (fabs.f32 x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(neg.f32 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1)))
(neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1)))
(+.f32 (*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))))
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))))
(+.f32 (neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))) (/.f32 x (fabs.f32 x)))
(+.f32 (*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))))
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))))
(+.f32 (neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))) (/.f32 x (fabs.f32 x)))
(+.f32 (*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))))
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))))
(+.f32 (neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 -1))) (/.f32 x (fabs.f32 x)))
(*.f32 -1 (log.f32 x))
(*.f32 (log.f32 x) -1)
(neg.f32 (log.f32 x))
(*.f32 -1 (log.f32 x))
(*.f32 (log.f32 x) -1)
(neg.f32 (log.f32 x))
(*.f32 -1 (log.f32 x))
(*.f32 (log.f32 x) -1)
(neg.f32 (log.f32 x))
(*.f32 -1 (log.f32 x))
(*.f32 (log.f32 x) -1)
(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 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 0)
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(-.f32 (+.f32 (/.f32 x (fabs.f32 x)) (-.f32 1 (log.f32 (/.f32 1 x)))) 1)
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(*.f32 1 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))))
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(*.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 1)
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(*.f32 2 (/.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 2))
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(.f32 (.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 2) 1/2)
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(.f32 1/2 (.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 2))
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(*.f32 (/.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 2) 2)
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(/.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 1)
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(/.f32 (*.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 2) 2)
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(/.f32 (*.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 4) 4)
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(/.f32 (.f32 2 (.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 4)) 8)
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 4)) (.f32 2 (.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 4))) 16)
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(pow.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) 1)
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 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 2 (/.f32 (log.f32 (/.f32 1 x)) 2))
(log.f32 (/.f32 1 x))
(.f32 (.f32 (log.f32 (/.f32 1 x)) 2) 1/2)
(log.f32 (/.f32 1 x))
(.f32 1/2 (.f32 (log.f32 (/.f32 1 x)) 2))
(log.f32 (/.f32 1 x))
(*.f32 (/.f32 (log.f32 (/.f32 1 x)) 2) 2)
(log.f32 (/.f32 1 x))
(/.f32 (log.f32 (/.f32 1 x)) 1)
(log.f32 (/.f32 1 x))
(/.f32 (*.f32 (log.f32 (/.f32 1 x)) 2) 2)
(log.f32 (/.f32 1 x))
(/.f32 (*.f32 (log.f32 (/.f32 1 x)) 4) 4)
(log.f32 (/.f32 1 x))
(/.f32 (.f32 2 (.f32 (log.f32 (/.f32 1 x)) 4)) 8)
(log.f32 (/.f32 1 x))
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (/.f32 1 x)) 4)) (.f32 2 (.f32 (log.f32 (/.f32 1 x)) 4))) 16)
(log.f32 (/.f32 1 x))
(pow.f32 (log.f32 (/.f32 1 x)) 1)
(log.f32 (/.f32 1 x))

eval73.0ms (1.1%)

Compiler: Compiled 4682 to 2961 computations (36.8% saved)

prune47.0ms (0.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	254	6	260
Fresh	1	5	6
Picked	1	0	1
Done	3	2	5
Total	259	13	272

Error

10.9b

Counts

272 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.7b	(copysign.f32 (/.f32 (fabs.f32 x) x) x)
	27.5b	(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)) x)
	27.7b	(copysign.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))) x)
	27.8b	(copysign.f32 (neg.f32 (log.f32 (/.f32 1 x))) x)
	21.5b	(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
▶	21.3b	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x)
	23.9b	(copysign.f32 (log.f32 (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (fabs.f32 x) x))) x)
▶	21.3b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) x)
▶	21.3b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 (-.f32 (-.f32 1 x) (/.f32 1/2 x)) -1))) x)
✓	20.4b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
✓	24.1b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
	26.7b	(copysign.f32 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) x)
▶	26.8b	(copysign.f32 (log.f32 (neg.f32 x)) x)

Compiler

Compiled 263 to 186 computations (29.3% saved)

localize63.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (+.f32 (fabs.f32 x) (+.f32 (-.f32 (-.f32 1 x) (/.f32 1/2 x)) -1)))
✓	0.0b	(/.f32 1/2 x)
✓	0.0b	(-.f32 (-.f32 1 x) (/.f32 1/2 x))
✓	2.6b	(+.f32 (fabs.f32 x) (+.f32 (-.f32 (-.f32 1 x) (/.f32 1/2 x)) -1))

Compiler

Compiled 69 to 48 computations (30.4% saved)

series2.0ms (0%)

Counts

4 → 36

Calls

12 calls:

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

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1402×	`rational.json-1`
1402×	`rational.json-2`
1402×	`rational.json-3`
1400×	`exponential.json-3`
1400×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	109	100
2	261	84
3	785	84
4	4407	84

Stop Event

1×	node limit

Counts

4 → 68

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (fabs.f32 x) (-.f32 1 (+.f32 x (/.f32 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 4) (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 x) (neg.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (+.f32 (/.f32 1/2 x) (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 (-.f32 1 (/.f32 1/2 x)) (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 (-.f32 1 x) (+.f32 (/.f32 1/2 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 1 (+.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (/.f32 1/2 x)) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 x) (-.f32 1 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (+.f32 (/.f32 1/2 x) -1)) (-.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (+.f32 (/.f32 1/2 x) (+.f32 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (+.f32 x -1)) (-.f32 -1 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 x) (-.f32 1 (+.f32 (/.f32 1/2 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 1 (/.f32 1/2 x)) (+.f32 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 1 x) (+.f32 (/.f32 1/2 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (-.f32 1 (+.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (+.f32 (/.f32 1/2 x) (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (/.f32 1/2 x) (+.f32 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 1/2 x) (+.f32 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 4) (.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 (/.f32 1/2 x) (+.f32 x -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/2 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1/2 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (/.f32 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 1/2 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1/2 x) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 4) (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 1)))))

simplify116.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational.json-simplify-35`
1154×	`rational.json-simplify-51`
1044×	`rational.json-simplify-2`
818×	`rational.json-simplify-1`
692×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	2982
1	364	2662
2	751	2662
3	1727	2634
4	4243	2634
5	7196	2634

Stop Event

1×	node limit

Counts

104 → 138

Calls

Call 1

Inputs
(/.f32 -1/2 x)
(-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(/.f32 -1/2 x)
(-.f32 1 (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 1 (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 1 (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(+.f32 1 (*.f32 -1 x))
(-.f32 (+.f32 1 (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 1 (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(+.f32 1 (*.f32 -1 x))
(-.f32 (+.f32 1 (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 1 (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -2 (.f32 (fabs.f32 x) x)) (*.f32 -1 (log.f32 x))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (+.f32 (.f32 -2 (.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 x)))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (+.f32 (.f32 -2 (.f32 (fabs.f32 x) x)) (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (.f32 24 (fabs.f32 x))) (pow.f32 x 3))) (.f32 -1 (log.f32 x))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 -1))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x)))))
(+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (.f32 3 (fabs.f32 x))) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (*.f32 -1 (/.f32 (fabs.f32 x) x))))))
(*.f32 -1 (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (*.f32 -3 (fabs.f32 x))) (pow.f32 x 3))))))
(-.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 0)
(-.f32 (+.f32 (fabs.f32 x) (-.f32 1 (+.f32 x (/.f32 1/2 x)))) 1)
(*.f32 1 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(.f32 1/2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 2))
(*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 1)
(*.f32 2 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 2))
(.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 2) 1/2)
(*.f32 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 2) 2)
(/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 1)
(/.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 2) 2)
(/.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 4) 4)
(/.f32 (+.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 4) (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 4)) 8)
(pow.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 1)
(+.f32 (-.f32 1 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 0)
(+.f32 -1 (-.f32 1 (+.f32 (/.f32 1/2 x) (+.f32 x -1))))
(+.f32 -1 (-.f32 (-.f32 1 (/.f32 1/2 x)) (+.f32 x -1)))
(+.f32 -1 (-.f32 (-.f32 1 x) (+.f32 (/.f32 1/2 x) -1)))
(+.f32 0 (-.f32 1 (+.f32 x (/.f32 1/2 x))))
(+.f32 (-.f32 1 (/.f32 1/2 x)) (neg.f32 x))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (neg.f32 x) (-.f32 1 (/.f32 1/2 x)))
(+.f32 (-.f32 1 (+.f32 (/.f32 1/2 x) -1)) (-.f32 -1 x))
(+.f32 (-.f32 1 (+.f32 (/.f32 1/2 x) (+.f32 x -1))) -1)
(+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (+.f32 x -1)))
(+.f32 (-.f32 1 (+.f32 x -1)) (-.f32 -1 (/.f32 1/2 x)))
(+.f32 (-.f32 -1 x) (-.f32 1 (+.f32 (/.f32 1/2 x) -1)))
(+.f32 (-.f32 (-.f32 1 (/.f32 1/2 x)) (+.f32 x -1)) -1)
(+.f32 (-.f32 (-.f32 1 x) (+.f32 (/.f32 1/2 x) -1)) -1)
(*.f32 1 (-.f32 1 (+.f32 x (/.f32 1/2 x))))
(.f32 1/2 (.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 2))
(*.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 1)
(*.f32 -1 (+.f32 (/.f32 1/2 x) (+.f32 x -1)))
(*.f32 2 (/.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 2))
(.f32 (.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 2) 1/2)
(*.f32 (+.f32 (/.f32 1/2 x) (+.f32 x -1)) -1)
(*.f32 (/.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 2) 2)
(/.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 1)
(/.f32 (*.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 2) 2)
(/.f32 (+.f32 (/.f32 1/2 x) (+.f32 x -1)) -1)
(/.f32 (*.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 4) 4)
(/.f32 (+.f32 (.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 4) (.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 4)) 8)
(pow.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 1)
(neg.f32 (+.f32 (/.f32 1/2 x) (+.f32 x -1)))
(+.f32 (/.f32 1/2 x) 0)
(+.f32 0 (/.f32 1/2 x))
(-.f32 (/.f32 1/2 x) 0)
(*.f32 1 (/.f32 1/2 x))
(*.f32 1/2 (/.f32 1 x))
(*.f32 (/.f32 1/2 x) 1)
(*.f32 2 (/.f32 (/.f32 1/2 x) 2))
(*.f32 (/.f32 1 x) 1/2)
(*.f32 (/.f32 (/.f32 1/2 x) 2) 2)
(pow.f32 (/.f32 1/2 x) 1)
(+.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 0)
(+.f32 0 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))))
(-.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 0)
(*.f32 1 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))))
(.f32 1/2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 2))
(*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 1)
(*.f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 2))
(.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 2) 1/2)
(*.f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 2) 2)
(/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 1)
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 2) 2)
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 4) 4)
(/.f32 (+.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 4) (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 4)) 8)
(pow.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 1)

Outputs
(/.f32 -1/2 x)
(-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))
(*.f32 -1 x)
(neg.f32 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(+.f32 (fabs.f32 x) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))
(*.f32 -1 x)
(neg.f32 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(+.f32 (fabs.f32 x) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))
(/.f32 -1/2 x)
(-.f32 1 (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 1 (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 1 (*.f32 1/2 (/.f32 1 x))))
(-.f32 (-.f32 1 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 1 (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 1 (*.f32 1/2 (/.f32 1 x))))
(-.f32 (-.f32 1 x) (*.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(neg.f32 x)
(+.f32 1 (*.f32 -1 x))
(+.f32 1 (neg.f32 x))
(-.f32 1 x)
(-.f32 (+.f32 1 (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 1 (*.f32 1/2 (/.f32 1 x))))
(-.f32 (-.f32 1 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 1 (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 1 (*.f32 1/2 (/.f32 1 x))))
(-.f32 (-.f32 1 x) (*.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(neg.f32 x)
(+.f32 1 (*.f32 -1 x))
(+.f32 1 (neg.f32 x))
(-.f32 1 x)
(-.f32 (+.f32 1 (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 1 (*.f32 1/2 (/.f32 1 x))))
(-.f32 (-.f32 1 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 1 (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 1 (*.f32 1/2 (/.f32 1 x))))
(-.f32 (-.f32 1 x) (*.f32 1/2 (/.f32 1 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 (.f32 -2 (.f32 (fabs.f32 x) x)) (*.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -1 (log.f32 x)) (.f32 (fabs.f32 x) (*.f32 x -2))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x -2))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (+.f32 (.f32 -2 (.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (.f32 -1 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x -2))) (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (.f32 (fabs.f32 x) (.f32 x -2)) (+.f32 (+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 (fabs.f32 x) (.f32 x -2)) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))))
(+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (.f32 (fabs.f32 x) (*.f32 x -2)))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (+.f32 (.f32 -2 (.f32 (fabs.f32 x) x)) (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (.f32 24 (fabs.f32 x))) (pow.f32 x 3))) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) 24)) (pow.f32 x 3))) (+.f32 (.f32 -1 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x -2)))) (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (.f32 (fabs.f32 x) (.f32 x -2)) (+.f32 (+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) 24)) (pow.f32 x 3))))) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x -2))) (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) 24)) (pow.f32 x 3))) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x -2))) (+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) 24)) (pow.f32 x 3))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 -1))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (log.f32 -1))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (log.f32 -1) (*.f32 -1 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 (fabs.f32 x) x))))
(+.f32 (log.f32 -1) (neg.f32 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 x (fabs.f32 x)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x)))))
(+.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x)))) (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))
(+.f32 (log.f32 -1) (+.f32 (.f32 -1 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 (fabs.f32 x) x))) (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (log.f32 -1) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (.f32 -1 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 (fabs.f32 x) x)))))
(+.f32 (neg.f32 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 x (fabs.f32 x)))) (+.f32 (log.f32 -1) (*.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2)))))
(+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (.f32 3 (fabs.f32 x))) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (*.f32 -1 (/.f32 (fabs.f32 x) x))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x)))) (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) 3)) (pow.f32 x 3)))))
(+.f32 (+.f32 (log.f32 -1) (.f32 -1 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 (fabs.f32 x) x)))) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) 3)) (pow.f32 x 3))) (*.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (.f32 -1 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 (fabs.f32 x) x)))) (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) 3)) (pow.f32 x 3)))))
(+.f32 (+.f32 (log.f32 -1) (neg.f32 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 x (fabs.f32 x))))) (+.f32 (.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) 3)) (pow.f32 x 3)))))
(*.f32 -1 (log.f32 (/.f32 -1 x)))
(neg.f32 (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 (/.f32 -1 x))))
(*.f32 -1 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 -1 x))))
(neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 x (fabs.f32 x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (.f32 -1 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 -1 x)))))
(+.f32 (*.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 x (fabs.f32 x)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (*.f32 -3 (fabs.f32 x))) (pow.f32 x 3))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) -3)) (pow.f32 x 3))) (*.f32 -1 (log.f32 (/.f32 -1 x))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) -3)) (pow.f32 x 3))) (*.f32 -1 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 -1 x))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 -1 x)))) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) -3)) (pow.f32 x 3)))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (+.f32 (neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 x (fabs.f32 x)))) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) -3)) (pow.f32 x 3)))))
(-.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 0)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(-.f32 (+.f32 (fabs.f32 x) (-.f32 1 (+.f32 x (/.f32 1/2 x)))) 1)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(*.f32 1 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(.f32 1/2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 2))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 1)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(*.f32 2 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 2))
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 2) 1/2)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(*.f32 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 2) 2)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(/.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 1)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(/.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 2) 2)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(/.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 4) 4)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(/.f32 (+.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 4) (.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 4)) 8)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(pow.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)) 1)
(+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(+.f32 (-.f32 1 x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 0)
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 -1 (-.f32 1 (+.f32 (/.f32 1/2 x) (+.f32 x -1))))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 -1 (-.f32 (-.f32 1 (/.f32 1/2 x)) (+.f32 x -1)))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 -1 (-.f32 (-.f32 1 x) (+.f32 (/.f32 1/2 x) -1)))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 0 (-.f32 1 (+.f32 x (/.f32 1/2 x))))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 (-.f32 1 (/.f32 1/2 x)) (neg.f32 x))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 (neg.f32 x) (-.f32 1 (/.f32 1/2 x)))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 (-.f32 1 (+.f32 (/.f32 1/2 x) -1)) (-.f32 -1 x))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 (-.f32 1 (+.f32 (/.f32 1/2 x) (+.f32 x -1))) -1)
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (+.f32 x -1)))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 (-.f32 1 (+.f32 x -1)) (-.f32 -1 (/.f32 1/2 x)))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 (-.f32 -1 x) (-.f32 1 (+.f32 (/.f32 1/2 x) -1)))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 (-.f32 (-.f32 1 (/.f32 1/2 x)) (+.f32 x -1)) -1)
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 (-.f32 (-.f32 1 x) (+.f32 (/.f32 1/2 x) -1)) -1)
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(*.f32 1 (-.f32 1 (+.f32 x (/.f32 1/2 x))))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(.f32 1/2 (.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 2))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(*.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 1)
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(*.f32 -1 (+.f32 (/.f32 1/2 x) (+.f32 x -1)))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(*.f32 2 (/.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 2))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(.f32 (.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 2) 1/2)
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(*.f32 (+.f32 (/.f32 1/2 x) (+.f32 x -1)) -1)
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(*.f32 (/.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 2) 2)
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(/.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 1)
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(/.f32 (*.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 2) 2)
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(/.f32 (+.f32 (/.f32 1/2 x) (+.f32 x -1)) -1)
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(/.f32 (*.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 4) 4)
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(/.f32 (+.f32 (.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 4) (.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 4)) 8)
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(pow.f32 (-.f32 1 (+.f32 x (/.f32 1/2 x))) 1)
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(neg.f32 (+.f32 (/.f32 1/2 x) (+.f32 x -1)))
(+.f32 (neg.f32 (/.f32 1/2 x)) (-.f32 1 x))
(+.f32 (/.f32 -1/2 x) (-.f32 1 x))
(+.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 (/.f32 1/2 x) 0)
(/.f32 1/2 x)
(+.f32 0 (/.f32 1/2 x))
(/.f32 1/2 x)
(-.f32 (/.f32 1/2 x) 0)
(/.f32 1/2 x)
(*.f32 1 (/.f32 1/2 x))
(/.f32 1/2 x)
(*.f32 1/2 (/.f32 1 x))
(*.f32 (/.f32 1/2 x) 1)
(/.f32 1/2 x)
(*.f32 2 (/.f32 (/.f32 1/2 x) 2))
(/.f32 1/2 x)
(*.f32 (/.f32 1 x) 1/2)
(*.f32 1/2 (/.f32 1 x))
(*.f32 (/.f32 (/.f32 1/2 x) 2) 2)
(/.f32 1/2 x)
(pow.f32 (/.f32 1/2 x) 1)
(/.f32 1/2 x)
(+.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 0)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(+.f32 0 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(-.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 0)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(*.f32 1 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(.f32 1/2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 2))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 1)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(*.f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 2))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 2) 1/2)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(*.f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 2) 2)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 1)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 2) 2)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 4) 4)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(/.f32 (+.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 4) (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 4)) 8)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(pow.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x))) 1)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 (/.f32 1/2 x)) x)))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))

localize16.0ms (0.2%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

localize18.0ms (0.3%)

Compiler: Compiled 14 to 4 computations (71.4% saved)

localize26.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.8b	(log.f32 (-.f32 (fabs.f32 x) -1))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series50.0ms (0.7%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	(log.f32 (-.f32 (fabs.f32 x) -1))
14.0ms	x	@	-inf	(log.f32 (-.f32 (fabs.f32 x) -1))
13.0ms	x	@	0	(log.f32 (-.f32 (fabs.f32 x) -1))

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`rational.json-simplify-35`
1186×	`rational.json-1`
1186×	`rational.json-2`
1186×	`rational.json-3`
1184×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	57	15
2	145	15
3	482	15
4	3710	15

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(log.f32 (-.f32 (fabs.f32 x) -1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 (fabs.f32 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 (fabs.f32 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 4)) (*.f32 2 (*.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 1)))))

simplify113.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1990×	`rational.json-simplify-35`
1220×	`rational.json-simplify-46`
1186×	`rational.json-simplify-2`
1044×	`rational.json-simplify-53`
834×	`rational.json-simplify-59`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	405
1	67	405
2	154	405
3	462	405
4	1665	405
5	4429	405
6	7674	405

Stop Event

1×	node limit

Counts

27 → 16

Calls

Call 1

Inputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(+.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 0)
(+.f32 0 (log.f32 (+.f32 (fabs.f32 x) 1)))
(-.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 0)
(*.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 1)
(*.f32 1 (log.f32 (+.f32 (fabs.f32 x) 1)))
(*.f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 2))
(.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 2) 1/2)
(.f32 1/2 (.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 2))
(*.f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 2) 2)
(/.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 1)
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 2) 2)
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 4) 4)
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 4)) (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 4))) 16)
(pow.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 1)

Outputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(+.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 0)
(log.f32 (+.f32 1 (fabs.f32 x)))
(+.f32 0 (log.f32 (+.f32 (fabs.f32 x) 1)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(-.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 0)
(log.f32 (+.f32 1 (fabs.f32 x)))
(*.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 1)
(log.f32 (+.f32 1 (fabs.f32 x)))
(*.f32 1 (log.f32 (+.f32 (fabs.f32 x) 1)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(*.f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 2))
(log.f32 (+.f32 1 (fabs.f32 x)))
(.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 2) 1/2)
(log.f32 (+.f32 1 (fabs.f32 x)))
(.f32 1/2 (.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 2))
(log.f32 (+.f32 1 (fabs.f32 x)))
(*.f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 2) 2)
(log.f32 (+.f32 1 (fabs.f32 x)))
(/.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 1)
(log.f32 (+.f32 1 (fabs.f32 x)))
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 2) 2)
(log.f32 (+.f32 1 (fabs.f32 x)))
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 4) 4)
(log.f32 (+.f32 1 (fabs.f32 x)))
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 4)) 8)
(log.f32 (+.f32 1 (fabs.f32 x)))
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 4)) (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 4))) 16)
(log.f32 (+.f32 1 (fabs.f32 x)))
(pow.f32 (log.f32 (+.f32 (fabs.f32 x) 1)) 1)
(log.f32 (+.f32 1 (fabs.f32 x)))

localize42.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
✓	0.0b	(/.f32 -1/2 x)
✓	0.0b	(-.f32 (/.f32 -1/2 x) x)
✓	2.6b	(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))

Compiler

Compiled 41 to 23 computations (43.9% saved)

series1.0ms (0%)

Counts

4 → 36

Calls

12 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`rational.json-simplify-35`
1266×	`rational.json-1`
1266×	`rational.json-2`
1266×	`rational.json-3`
1264×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	70
1	70	70
2	180	70
3	599	70
4	3996	70

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 4)) (.f32 2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1/2 x) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 -1/2 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 (/.f32 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (-.f32 x (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 x) (/.f32 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (-.f32 x (/.f32 -1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (/.f32 -1/2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (-.f32 (/.f32 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (-.f32 x (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (-.f32 (/.f32 -1/2 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (-.f32 (/.f32 -1/2 x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 x (/.f32 -1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (-.f32 (/.f32 -1/2 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (-.f32 (/.f32 -1/2 x) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (/.f32 -1/2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (/.f32 -1/2 x) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 x (/.f32 -1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (/.f32 -1/2 x) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (-.f32 (/.f32 -1/2 x) x) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (-.f32 x (/.f32 -1/2 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 x -2) (/.f32 -1 x)) (.f32 (.f32 x -2) (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 -1 x) (.f32 x -2)) (.f32 (/.f32 -1 x) (.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (-.f32 (/.f32 -1/2 x) x) 4)) (.f32 2 (*.f32 (-.f32 (/.f32 -1/2 x) x) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (/.f32 -1/2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 x (/.f32 -1/2 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1/2 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 -1/2 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (/.f32 -1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 -1/2 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (/.f32 -1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 -1/2 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 -1/2 x) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 1)))))

simplify128.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1394×	`rational.json-simplify-46`
1048×	`rational.json-simplify-41`
1006×	`rational.json-simplify-35`
754×	`rational.json-simplify-51`
652×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	180	2593
1	371	2437
2	808	2437
3	2240	2409
4	5371	2409
5	7646	2409

Stop Event

1×	node limit

Counts

99 → 131

Calls

Call 1

Inputs
(/.f32 -1/2 x)
(-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(/.f32 -1/2 x)
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -2 (.f32 (fabs.f32 x) x)) (*.f32 -1 (log.f32 x))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (+.f32 (.f32 -2 (.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 x)))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (+.f32 (.f32 -2 (.f32 (fabs.f32 x) x)) (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (.f32 24 (fabs.f32 x))) (pow.f32 x 3))) (.f32 -1 (log.f32 x))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 -1))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x)))))
(+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (.f32 3 (fabs.f32 x))) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (*.f32 -1 (/.f32 (fabs.f32 x) x))))))
(*.f32 -1 (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (*.f32 -3 (fabs.f32 x))) (pow.f32 x 3))))))
(-.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 0)
(*.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 1)
(*.f32 1 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(*.f32 2 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 2))
(.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 2) 1/2)
(.f32 1/2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 2))
(*.f32 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 2) 2)
(/.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 1)
(/.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 2) 2)
(/.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 4)) (.f32 2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 4))) 16)
(pow.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 1)
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(+.f32 (-.f32 (/.f32 -1/2 x) x) 0)
(+.f32 0 (-.f32 (/.f32 -1/2 x) x))
(+.f32 -1 (-.f32 1 (-.f32 x (/.f32 -1/2 x))))
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(+.f32 (-.f32 1 (-.f32 x (/.f32 -1/2 x))) -1)
(*.f32 (-.f32 (/.f32 -1/2 x) x) 1)
(*.f32 1 (-.f32 (/.f32 -1/2 x) x))
(*.f32 -1 (-.f32 x (/.f32 -1/2 x)))
(*.f32 2 (/.f32 (-.f32 (/.f32 -1/2 x) x) 2))
(.f32 (.f32 (-.f32 (/.f32 -1/2 x) x) 2) 1/2)
(*.f32 (-.f32 x (/.f32 -1/2 x)) -1)
(.f32 1/2 (.f32 (-.f32 (/.f32 -1/2 x) x) 2))
(*.f32 (/.f32 (-.f32 (/.f32 -1/2 x) x) 2) 2)
(/.f32 (-.f32 (/.f32 -1/2 x) x) 1)
(/.f32 (*.f32 (-.f32 (/.f32 -1/2 x) x) 2) 2)
(/.f32 (-.f32 x (/.f32 -1/2 x)) -1)
(/.f32 (*.f32 (-.f32 (/.f32 -1/2 x) x) 4) 4)
(/.f32 (.f32 2 (.f32 (-.f32 (/.f32 -1/2 x) x) 4)) 8)
(/.f32 (*.f32 2 (-.f32 x (/.f32 -1/2 x))) -2)
(/.f32 (+.f32 (.f32 x -2) (/.f32 -1 x)) (.f32 (*.f32 x -2) (/.f32 -1 x)))
(/.f32 (+.f32 (/.f32 -1 x) (.f32 x -2)) (.f32 (/.f32 -1 x) (*.f32 x -2)))
(/.f32 (+.f32 (.f32 2 (.f32 (-.f32 (/.f32 -1/2 x) x) 4)) (.f32 2 (.f32 (-.f32 (/.f32 -1/2 x) x) 4))) 16)
(pow.f32 (-.f32 (/.f32 -1/2 x) x) 1)
(neg.f32 (-.f32 x (/.f32 -1/2 x)))
(+.f32 (/.f32 -1/2 x) 0)
(+.f32 0 (/.f32 -1/2 x))
(-.f32 (/.f32 -1/2 x) 0)
(*.f32 (/.f32 -1/2 x) 1)
(*.f32 1 (/.f32 -1/2 x))
(*.f32 2 (/.f32 (/.f32 -1/2 x) 2))
(.f32 (.f32 (/.f32 -1/2 x) 2) 1/2)
(.f32 1/2 (.f32 (/.f32 -1/2 x) 2))
(*.f32 (/.f32 (/.f32 -1/2 x) 2) 2)
(pow.f32 (/.f32 -1/2 x) 1)
(+.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 0)
(+.f32 0 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))))
(-.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 0)
(*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 1)
(*.f32 1 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))))
(*.f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 2))
(.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 2) 1/2)
(.f32 1/2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 2))
(*.f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 2) 2)
(/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 1)
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 2) 2)
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 4) 4)
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 4))) 16)
(pow.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 1)

Outputs
(/.f32 -1/2 x)
(-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(neg.f32 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(+.f32 (fabs.f32 x) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(neg.f32 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(+.f32 (fabs.f32 x) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(+.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) (neg.f32 x))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))
(/.f32 -1/2 x)
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(neg.f32 x)
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(*.f32 -1 x)
(neg.f32 x)
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 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 (.f32 -2 (.f32 (fabs.f32 x) x)) (*.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -1 (log.f32 x)) (.f32 (fabs.f32 x) (*.f32 x -2))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (.f32 x (.f32 -2 (fabs.f32 x)))))
(+.f32 (+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) (.f32 x (.f32 (fabs.f32 x) -2)))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x -2))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (+.f32 (.f32 -2 (.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (.f32 -1 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x -2))) (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 x (.f32 -2 (fabs.f32 x)))) (+.f32 (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (log.f32 -1/2)))
(+.f32 (+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) (+.f32 (.f32 x (.f32 (fabs.f32 x) -2)) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) (+.f32 (.f32 (fabs.f32 x) (.f32 x -2)) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x -2))) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (+.f32 (.f32 -2 (.f32 (fabs.f32 x) x)) (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (.f32 24 (fabs.f32 x))) (pow.f32 x 3))) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) 24)) (pow.f32 x 3))) (+.f32 (.f32 -1 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x -2)))) (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 x (.f32 -2 (fabs.f32 x))) (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) 24)) (pow.f32 x 3)))))))
(+.f32 (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) 24)) (pow.f32 x 3))) (+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x)))) (+.f32 (.f32 x (.f32 (fabs.f32 x) -2)) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (neg.f32 (log.f32 x)) (+.f32 (+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 -1/2) (.f32 (fabs.f32 x) (.f32 x -2)))) (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) 24)) (pow.f32 x 3)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 -16 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) 24)) (pow.f32 x 3))) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x -2))) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 -1))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (log.f32 -1))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (log.f32 -1) (*.f32 -1 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 (fabs.f32 x) x))))
(+.f32 (log.f32 -1) (neg.f32 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 x (fabs.f32 x)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x)))))
(+.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x)))) (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))
(+.f32 (+.f32 (log.f32 -1) (.f32 -1 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 (fabs.f32 x) x)))) (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))
(+.f32 (log.f32 -1) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (.f32 -1 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 (fabs.f32 x) x)))))
(+.f32 (log.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (neg.f32 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 x (fabs.f32 x))))))
(+.f32 (+.f32 (log.f32 -1) (neg.f32 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 x (fabs.f32 x))))) (*.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))))
(+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (.f32 3 (fabs.f32 x))) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (*.f32 -1 (/.f32 (fabs.f32 x) x))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 -1) (.f32 -1 (/.f32 (fabs.f32 x) x)))) (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) 3)) (pow.f32 x 3)))))
(+.f32 (+.f32 (log.f32 -1) (.f32 -1 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 (fabs.f32 x) x)))) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) 3)) (pow.f32 x 3))) (*.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (+.f32 (log.f32 -1) (.f32 -1 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 (fabs.f32 x) x)))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) 3)) (pow.f32 x 3)))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (+.f32 (log.f32 -1) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) 3)) (pow.f32 x 3))) (neg.f32 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 x (fabs.f32 x)))))))
(+.f32 (log.f32 -1) (+.f32 (neg.f32 (+.f32 (log.f32 (/.f32 1 x)) (/.f32 x (fabs.f32 x)))) (+.f32 (.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (.f32 1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) 3)) (pow.f32 x 3))))))
(*.f32 -1 (log.f32 (/.f32 -1 x)))
(neg.f32 (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 (/.f32 -1 x))))
(*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 (fabs.f32 x) x)))
(*.f32 -1 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 -1 x))))
(neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 x (fabs.f32 x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (.f32 -1 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 -1 x)))))
(+.f32 (*.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 x (fabs.f32 x)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (*.f32 -3 (fabs.f32 x))) (pow.f32 x 3))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) -3)) (pow.f32 x 3))) (*.f32 -1 (log.f32 (/.f32 -1 x))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) -3)) (pow.f32 x 3))) (*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 (fabs.f32 x) x)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 -1 x)))) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) -3)) (pow.f32 x 3)))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (+.f32 (neg.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 x (fabs.f32 x)))) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) -3)) (pow.f32 x 3)))))
(-.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 0)
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(*.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 1)
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(*.f32 1 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(*.f32 2 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 2))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(.f32 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 2) 1/2)
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(.f32 1/2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 2))
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(*.f32 (/.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 2) 2)
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(/.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 1)
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(/.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 2) 2)
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(/.f32 (*.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 4) 4)
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(/.f32 (.f32 2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 4)) 8)
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 4)) (.f32 2 (.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 4))) 16)
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(pow.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)) 1)
(+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 (-.f32 (/.f32 -1/2 x) x) 0)
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 0 (-.f32 (/.f32 -1/2 x) x))
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 -1 (-.f32 1 (-.f32 x (/.f32 -1/2 x))))
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 (neg.f32 x) (/.f32 -1/2 x))
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 (-.f32 1 (-.f32 x (/.f32 -1/2 x))) -1)
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(*.f32 (-.f32 (/.f32 -1/2 x) x) 1)
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(*.f32 1 (-.f32 (/.f32 -1/2 x) x))
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(*.f32 -1 (-.f32 x (/.f32 -1/2 x)))
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(*.f32 2 (/.f32 (-.f32 (/.f32 -1/2 x) x) 2))
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(.f32 (.f32 (-.f32 (/.f32 -1/2 x) x) 2) 1/2)
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(*.f32 (-.f32 x (/.f32 -1/2 x)) -1)
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(.f32 1/2 (.f32 (-.f32 (/.f32 -1/2 x) x) 2))
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(*.f32 (/.f32 (-.f32 (/.f32 -1/2 x) x) 2) 2)
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(/.f32 (-.f32 (/.f32 -1/2 x) x) 1)
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(/.f32 (*.f32 (-.f32 (/.f32 -1/2 x) x) 2) 2)
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(/.f32 (-.f32 x (/.f32 -1/2 x)) -1)
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(/.f32 (*.f32 (-.f32 (/.f32 -1/2 x) x) 4) 4)
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(/.f32 (.f32 2 (.f32 (-.f32 (/.f32 -1/2 x) x) 4)) 8)
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(/.f32 (*.f32 2 (-.f32 x (/.f32 -1/2 x))) -2)
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(/.f32 (+.f32 (.f32 x -2) (/.f32 -1 x)) (.f32 (*.f32 x -2) (/.f32 -1 x)))
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(/.f32 (+.f32 (/.f32 -1 x) (.f32 x -2)) (.f32 (/.f32 -1 x) (*.f32 x -2)))
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(/.f32 (+.f32 (.f32 2 (.f32 (-.f32 (/.f32 -1/2 x) x) 4)) (.f32 2 (.f32 (-.f32 (/.f32 -1/2 x) x) 4))) 16)
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(pow.f32 (-.f32 (/.f32 -1/2 x) x) 1)
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(neg.f32 (-.f32 x (/.f32 -1/2 x)))
(+.f32 (/.f32 -1/2 x) (neg.f32 x))
(-.f32 (/.f32 -1/2 x) x)
(+.f32 (/.f32 -1/2 x) 0)
(/.f32 -1/2 x)
(+.f32 0 (/.f32 -1/2 x))
(/.f32 -1/2 x)
(-.f32 (/.f32 -1/2 x) 0)
(/.f32 -1/2 x)
(*.f32 (/.f32 -1/2 x) 1)
(/.f32 -1/2 x)
(*.f32 1 (/.f32 -1/2 x))
(/.f32 -1/2 x)
(*.f32 2 (/.f32 (/.f32 -1/2 x) 2))
(/.f32 -1/2 x)
(.f32 (.f32 (/.f32 -1/2 x) 2) 1/2)
(/.f32 -1/2 x)
(.f32 1/2 (.f32 (/.f32 -1/2 x) 2))
(/.f32 -1/2 x)
(*.f32 (/.f32 (/.f32 -1/2 x) 2) 2)
(/.f32 -1/2 x)
(pow.f32 (/.f32 -1/2 x) 1)
(/.f32 -1/2 x)
(+.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 0)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(+.f32 0 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(-.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 0)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 1)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(*.f32 1 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(*.f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 2))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 2) 1/2)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(.f32 1/2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 2))
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(*.f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 2) 2)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(/.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 1)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 2) 2)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(/.f32 (*.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 4) 4)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 4)) 8)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 4))) 16)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))
(pow.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) 1)
(log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x)))

eval104.0ms (1.5%)

Compiler: Compiled 5660 to 3822 computations (32.5% saved)

prune43.0ms (0.6%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	285	0	285
Fresh	0	6	6
Picked	0	1	1
Done	0	6	6
Total	285	13	298

Error

10.9b

Counts

298 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.7b	(copysign.f32 (/.f32 (fabs.f32 x) x) x)
▶	27.5b	(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)) x)
	27.7b	(copysign.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))) x)
▶	27.8b	(copysign.f32 (neg.f32 (log.f32 (/.f32 1 x))) x)
▶	21.5b	(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
✓	21.3b	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x)
▶	23.9b	(copysign.f32 (log.f32 (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (fabs.f32 x) x))) x)
✓	21.3b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) x)
✓	21.3b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 (-.f32 (-.f32 1 x) (/.f32 1/2 x)) -1))) x)
✓	20.4b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
✓	24.1b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
▶	26.7b	(copysign.f32 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) x)
✓	26.8b	(copysign.f32 (log.f32 (neg.f32 x)) x)

Compiler

Compiled 214 to 152 computations (29% saved)

localize20.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

localize137.0ms (2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize29.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))

Compiler

Compiled 26 to 6 computations (76.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`rational.json-simplify-35`
1094×	`rational.json-1`
1094×	`rational.json-2`
1094×	`rational.json-3`
1092×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	57	21
2	164	21
3	618	21
4	3637	21

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 (*.f32 (log.f32 x) 2) (*.f32 (fabs.f32 x) (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 4)) (*.f32 2 (*.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 1)))))

simplify99.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1160×	`rational.json-simplify-46`
1148×	`rational.json-simplify-1`
848×	`rational.json-simplify-35`
836×	`rational.json-simplify-41`
710×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	658
1	106	642
2	217	642
3	582	642
4	2329	642
5	5894	642

Stop Event

1×	node limit

Counts

26 → 32

Calls

Call 1

Inputs
(/.f32 (fabs.f32 x) x)
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x)))
(-.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 0)
(*.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 1)
(*.f32 1 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)))
(*.f32 2 (/.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 2))
(.f32 (.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 2) 1/2)
(.f32 1/2 (.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 2))
(.f32 1/2 (+.f32 (.f32 (log.f32 x) 2) (*.f32 (fabs.f32 x) (/.f32 2 x))))
(*.f32 (/.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 2) 2)
(/.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 1)
(/.f32 (*.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 2) 2)
(/.f32 (*.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 4)) (.f32 2 (.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 4))) 16)
(pow.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 1)

Outputs
(/.f32 (fabs.f32 x) x)
(/.f32 x (fabs.f32 x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(neg.f32 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 -1)))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)) (/.f32 x (fabs.f32 x)))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 x (fabs.f32 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 -1)))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)) (/.f32 x (fabs.f32 x)))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 x (fabs.f32 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 -1)))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)) (/.f32 x (fabs.f32 x)))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 x (fabs.f32 x))))
(-.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 0)
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(*.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 1)
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(*.f32 1 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(*.f32 2 (/.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 2))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(.f32 (.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 2) 1/2)
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(.f32 1/2 (.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 2))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(.f32 1/2 (+.f32 (.f32 (log.f32 x) 2) (*.f32 (fabs.f32 x) (/.f32 2 x))))
(*.f32 (/.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 2) 2)
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(/.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 1)
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(/.f32 (*.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 2) 2)
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(/.f32 (*.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 4) 4)
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(/.f32 (.f32 2 (.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 4)) 8)
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 4)) (.f32 2 (.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 4))) 16)
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))
(pow.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 x)) 1)
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+.f32 (log.f32 x) (/.f32 x (fabs.f32 x)))

localize50.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (fabs.f32 x) x))
✓	0.5b	(log.f32 (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (fabs.f32 x) x)))

Compiler

Compiled 52 to 29 computations (44.2% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

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

rewrite62.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`rational.json-simplify-35`
1362×	`rational.json-1`
1362×	`rational.json-2`
1362×	`rational.json-3`
1360×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	94	62
2	223	62
3	657	50
4	4136	50

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 4)) (*.f32 2 (*.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (+.f32 x x) (/.f32 (+.f32 x (fabs.f32 x)) (*.f32 (+.f32 x (fabs.f32 x)) (+.f32 x (fabs.f32 x))))) (*.f32 (+.f32 x x) (/.f32 (+.f32 x (fabs.f32 x)) (*.f32 (+.f32 x (fabs.f32 x)) (+.f32 x (fabs.f32 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 (+.f32 x (fabs.f32 x)) (*.f32 (+.f32 x (fabs.f32 x)) (+.f32 x (fabs.f32 x)))) (+.f32 x x)) (*.f32 (/.f32 (+.f32 x (fabs.f32 x)) (*.f32 (+.f32 x (fabs.f32 x)) (+.f32 x (fabs.f32 x)))) (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 4)) (*.f32 2 (*.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 1)))))

simplify99.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1034×	`rational.json-simplify-41`
952×	`rational.json-simplify-61`
922×	`rational.json-simplify-38`
786×	`rational.json-simplify-2`
660×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	1728
1	283	1696
2	620	1696
3	1636	1680
4	4612	1680
5	7639	1680

Stop Event

1×	node limit

Counts

50 → 94

Calls

Call 1

Inputs
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (+.f32 (.f32 2 (.f32 (fabs.f32 x) x)) (*.f32 -1 (log.f32 x))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 1/2) (+.f32 (.f32 2 (.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 x)))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 16 (pow.f32 (fabs.f32 x) 3)) (.f32 -24 (fabs.f32 x))) (pow.f32 x 3))) (+.f32 (log.f32 1/2) (+.f32 (.f32 2 (.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 x))))))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -3 (fabs.f32 x)) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (.f32 3 (fabs.f32 x))) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x)))))
(/.f32 1/2 x)
(+.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (fabs.f32 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) x))
(+.f32 (fabs.f32 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) x))
x
(+.f32 (fabs.f32 x) x)
x
(+.f32 (fabs.f32 x) x)
(+.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 0)
(+.f32 0 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))))
(-.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 0)
(.f32 1/2 (.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 2))
(*.f32 1 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))))
(*.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 1)
(*.f32 2 (/.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 2))
(.f32 (.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 2) 1/2)
(*.f32 (/.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 2) 2)
(/.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 1)
(/.f32 (*.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 2) 2)
(/.f32 (*.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 4) 4)
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 4))) 16)
(pow.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 1)
(-.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 0)
(.f32 1/2 (.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 2))
(*.f32 1 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))))
(*.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 1)
(*.f32 2 (/.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 2))
(.f32 (.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 2) 1/2)
(*.f32 (/.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 2) 2)
(/.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 1)
(/.f32 (*.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 2) 2)
(/.f32 (*.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 4)) 8)
(/.f32 (+.f32 (+.f32 x x) (/.f32 (+.f32 x (fabs.f32 x)) (.f32 (+.f32 x (fabs.f32 x)) (+.f32 x (fabs.f32 x))))) (.f32 (+.f32 x x) (/.f32 (+.f32 x (fabs.f32 x)) (*.f32 (+.f32 x (fabs.f32 x)) (+.f32 x (fabs.f32 x))))))
(/.f32 (+.f32 (/.f32 (+.f32 x (fabs.f32 x)) (.f32 (+.f32 x (fabs.f32 x)) (+.f32 x (fabs.f32 x)))) (+.f32 x x)) (.f32 (/.f32 (+.f32 x (fabs.f32 x)) (*.f32 (+.f32 x (fabs.f32 x)) (+.f32 x (fabs.f32 x)))) (+.f32 x x)))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 4)) (.f32 2 (.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 4))) 16)
(pow.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 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 2 (.f32 (fabs.f32 x) x)) (*.f32 -1 (log.f32 x))))
(+.f32 (log.f32 1/2) (+.f32 (.f32 -1 (log.f32 x)) (.f32 (fabs.f32 x) (*.f32 x 2))))
(+.f32 (log.f32 1/2) (+.f32 (neg.f32 (log.f32 x)) (.f32 x (.f32 (fabs.f32 x) 2))))
(+.f32 (log.f32 1/2) (+.f32 (neg.f32 (log.f32 x)) (.f32 x (.f32 2 (fabs.f32 x)))))
(+.f32 (log.f32 1/2) (+.f32 (neg.f32 (log.f32 x)) (.f32 2 (.f32 x (fabs.f32 x)))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (log.f32 1/2) (+.f32 (.f32 2 (.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 x)))))
(+.f32 (+.f32 (log.f32 1/2) (+.f32 (.f32 -1 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x 2)))) (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))
(+.f32 (+.f32 (log.f32 1/2) (+.f32 (neg.f32 (log.f32 x)) (.f32 x (.f32 (fabs.f32 x) 2)))) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))
(+.f32 (log.f32 1/2) (+.f32 (.f32 x (.f32 2 (fabs.f32 x))) (+.f32 (neg.f32 (log.f32 x)) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))))
(+.f32 (+.f32 (log.f32 1/2) (+.f32 (neg.f32 (log.f32 x)) (.f32 2 (.f32 x (fabs.f32 x))))) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))
(+.f32 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 x))) (+.f32 (.f32 x (.f32 2 (fabs.f32 x))) (.f32 1/2 (.f32 (+.f32 4 (*.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 16 (pow.f32 (fabs.f32 x) 3)) (.f32 -24 (fabs.f32 x))) (pow.f32 x 3))) (+.f32 (log.f32 1/2) (+.f32 (.f32 2 (.f32 (fabs.f32 x) x)) (.f32 -1 (log.f32 x))))))
(+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 16 (pow.f32 (fabs.f32 x) 3)) (.f32 (fabs.f32 x) -24)) (pow.f32 x 3))) (+.f32 (+.f32 (log.f32 1/2) (+.f32 (.f32 -1 (log.f32 x)) (.f32 (fabs.f32 x) (.f32 x 2)))) (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (+.f32 (log.f32 1/2) (+.f32 (neg.f32 (log.f32 x)) (.f32 x (.f32 (fabs.f32 x) 2)))) (+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (.f32 1/6 (.f32 (+.f32 (.f32 16 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) -24)) (pow.f32 x 3)))))
(+.f32 (+.f32 (log.f32 1/2) (+.f32 (.f32 x (.f32 2 (fabs.f32 x))) (+.f32 (neg.f32 (log.f32 x)) (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))) (.f32 1/6 (.f32 (+.f32 (.f32 16 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) -24)) (pow.f32 x 3))))
(+.f32 (log.f32 1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (+.f32 (.f32 2 (.f32 x (fabs.f32 x))) (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))) (.f32 1/6 (.f32 (+.f32 (.f32 16 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) -24)) (pow.f32 x 3))))))
(+.f32 (log.f32 1/2) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 x (.f32 2 (fabs.f32 x)))) (+.f32 (.f32 1/2 (.f32 (+.f32 4 (.f32 -4 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (.f32 1/6 (.f32 (+.f32 (.f32 16 (pow.f32 (fabs.f32 x) 3)) (*.f32 (fabs.f32 x) -24)) (pow.f32 x 3))))))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(neg.f32 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (.f32 1/2 (/.f32 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (*.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) (*.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (/.f32 x (fabs.f32 x)) (*.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2)))))
(+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -3 (fabs.f32 x)) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))))
(+.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))) (.f32 1/6 (/.f32 (+.f32 (.f32 (fabs.f32 x) -3) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (+.f32 (/.f32 (fabs.f32 x) x) (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))) (.f32 1/6 (/.f32 (+.f32 (.f32 (fabs.f32 x) -3) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3)))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 (fabs.f32 x) -3) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))) (+.f32 (/.f32 (fabs.f32 x) x) (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))))))
(+.f32 (+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) (.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2)))) (.f32 1/6 (/.f32 (+.f32 (.f32 (fabs.f32 x) -3) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))))
(+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 x (fabs.f32 x))) (+.f32 (.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (.f32 1/6 (/.f32 (+.f32 (.f32 (fabs.f32 x) -3) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 -1)))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 -1)))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 -1)))
(+.f32 (/.f32 x (fabs.f32 x)) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 -1))))
(+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 -1))))
(+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)) (*.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)))))
(+.f32 (/.f32 x (fabs.f32 x)) (+.f32 (*.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1))))
(+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 -2 (pow.f32 (fabs.f32 x) 3)) (.f32 3 (fabs.f32 x))) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 (fabs.f32 x) x)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 -1))) (.f32 -1/6 (/.f32 (+.f32 (.f32 (pow.f32 (fabs.f32 x) 3) -2) (.f32 (fabs.f32 x) 3)) (pow.f32 x 3)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 -1))) (.f32 -1/6 (/.f32 (+.f32 (.f32 (pow.f32 (fabs.f32 x) 3) -2) (.f32 (fabs.f32 x) 3)) (pow.f32 x 3)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1))) (.f32 -1/6 (/.f32 (+.f32 (.f32 (pow.f32 (fabs.f32 x) 3) -2) (.f32 (fabs.f32 x) 3)) (pow.f32 x 3)))))
(+.f32 (log.f32 -1) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 (pow.f32 (fabs.f32 x) 3) -2) (.f32 (fabs.f32 x) 3)) (pow.f32 x 3))) (+.f32 (/.f32 x (fabs.f32 x)) (+.f32 (.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2))) (neg.f32 (log.f32 (/.f32 -1 x)))))))
(+.f32 (/.f32 x (fabs.f32 x)) (+.f32 (+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -1)) (.f32 -1/6 (/.f32 (+.f32 (.f32 (pow.f32 (fabs.f32 x) 3) -2) (.f32 (fabs.f32 x) 3)) (pow.f32 x 3)))) (.f32 1/2 (/.f32 (-.f32 1 (pow.f32 (fabs.f32 x) 2)) (pow.f32 x 2)))))
(/.f32 1/2 x)
(+.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (fabs.f32 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) x))
(+.f32 (fabs.f32 x) (+.f32 x (*.f32 1/2 (/.f32 1 x))))
(+.f32 x (+.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (fabs.f32 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) x))
(+.f32 (fabs.f32 x) (+.f32 x (*.f32 1/2 (/.f32 1 x))))
(+.f32 x (+.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))))
x
(+.f32 (fabs.f32 x) x)
(+.f32 x (fabs.f32 x))
x
(+.f32 (fabs.f32 x) x)
(+.f32 x (fabs.f32 x))
(+.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 0)
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x))))
(+.f32 0 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))))
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x))))
(-.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 0)
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x))))
(.f32 1/2 (.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 2))
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x))))
(*.f32 1 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))))
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x))))
(*.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 1)
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x))))
(*.f32 2 (/.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 2))
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x))))
(.f32 (.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 2) 1/2)
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x))))
(*.f32 (/.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 2) 2)
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x))))
(/.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 1)
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x))))
(/.f32 (*.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 2) 2)
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x))))
(/.f32 (*.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 4) 4)
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x))))
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 4)) 8)
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x))))
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 4))) 16)
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x))))
(pow.f32 (log.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x)))) 1)
(log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x))))
(-.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 0)
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))
(.f32 1/2 (.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 2))
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))
(*.f32 1 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))))
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))
(*.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 1)
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))
(*.f32 2 (/.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 2))
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))
(.f32 (.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 2) 1/2)
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))
(*.f32 (/.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 2) 2)
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))
(/.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 1)
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))
(/.f32 (*.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 2) 2)
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))
(/.f32 (*.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 4) 4)
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))
(/.f32 (.f32 2 (.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 4)) 8)
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))
(/.f32 (+.f32 (+.f32 x x) (/.f32 (+.f32 x (fabs.f32 x)) (.f32 (+.f32 x (fabs.f32 x)) (+.f32 x (fabs.f32 x))))) (.f32 (+.f32 x x) (/.f32 (+.f32 x (fabs.f32 x)) (*.f32 (+.f32 x (fabs.f32 x)) (+.f32 x (fabs.f32 x))))))
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))
(/.f32 (+.f32 (/.f32 (+.f32 x (fabs.f32 x)) (.f32 (+.f32 x (fabs.f32 x)) (+.f32 x (fabs.f32 x)))) (+.f32 x x)) (.f32 (/.f32 (+.f32 x (fabs.f32 x)) (*.f32 (+.f32 x (fabs.f32 x)) (+.f32 x (fabs.f32 x)))) (+.f32 x x)))
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 4)) (.f32 2 (.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 4))) 16)
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))
(pow.f32 (+.f32 (/.f32 1/2 x) (+.f32 x (fabs.f32 x))) 1)
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))

localize52.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))
✓	0.0b	(+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))
✓	0.2b	(*.f32 1/2 (pow.f32 x 2))
✓	19.5b	(log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))))

Compiler

Compiled 57 to 40 computations (29.8% saved)

series3.0ms (0%)

Counts

4 → 18

Calls

12 calls:

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

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`rational.json-simplify-35`
1284×	`rational.json-1`
1284×	`rational.json-2`
1284×	`rational.json-3`
1282×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	98
1	98	98
2	223	98
3	633	98
4	3972	98

Stop Event

1×	node limit

Counts

4 → 51

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/2 (pow.f32 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 1/2 (pow.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 1/2 (pow.f32 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1/2 (pow.f32 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (pow.f32 x 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 x 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (pow.f32 x 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 1/2 (pow.f32 x 2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (+.f32 (fabs.f32 x) (+.f32 (pow.f32 x 2) (fabs.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (fabs.f32 x) (+.f32 (pow.f32 x 2) (fabs.f32 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (fabs.f32 x) (+.f32 (pow.f32 x 2) (fabs.f32 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 4)) (.f32 2 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 4)) (.f32 2 (.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 1)))))

simplify154.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1310×	`rational.json-simplify-35`
1082×	`rational.json-simplify-59`
1050×	`rational.json-simplify-2`
732×	`rational.json-simplify-46`
726×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	2327
1	284	2327
2	592	2315
3	1588	2303
4	3686	2303
5	6033	2303

Stop Event

1×	node limit

Counts

69 → 110

Calls

Call 1

Inputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x))))
(+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))))
(+.f32 (.f32 1/24 (/.f32 (pow.f32 x 6) (pow.f32 (+.f32 1 (fabs.f32 x)) 3))) (+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x))))))
(+.f32 (log.f32 1/2) (*.f32 -2 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 1/2) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (.f32 2 (/.f32 (+.f32 1 (fabs.f32 x)) (pow.f32 x 2)))))
(+.f32 (.f32 -2 (/.f32 (pow.f32 (+.f32 1 (fabs.f32 x)) 2) (pow.f32 x 4))) (+.f32 (log.f32 1/2) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (*.f32 2 (/.f32 (+.f32 1 (fabs.f32 x)) (pow.f32 x 2))))))
(+.f32 (.f32 8/3 (/.f32 (pow.f32 (+.f32 1 (fabs.f32 x)) 3) (pow.f32 x 6))) (+.f32 (.f32 -2 (/.f32 (pow.f32 (+.f32 1 (fabs.f32 x)) 2) (pow.f32 x 4))) (+.f32 (log.f32 1/2) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (.f32 2 (/.f32 (+.f32 1 (fabs.f32 x)) (pow.f32 x 2)))))))
(+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (log.f32 1/2))
(+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 1/2) (.f32 2 (/.f32 (+.f32 1 (fabs.f32 x)) (pow.f32 x 2)))))
(+.f32 (.f32 -2 (/.f32 (pow.f32 (+.f32 1 (fabs.f32 x)) 2) (pow.f32 x 4))) (+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 1/2) (*.f32 2 (/.f32 (+.f32 1 (fabs.f32 x)) (pow.f32 x 2))))))
(+.f32 (.f32 8/3 (/.f32 (pow.f32 (+.f32 1 (fabs.f32 x)) 3) (pow.f32 x 6))) (+.f32 (.f32 -2 (/.f32 (pow.f32 (+.f32 1 (fabs.f32 x)) 2) (pow.f32 x 4))) (+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 1/2) (.f32 2 (/.f32 (+.f32 1 (fabs.f32 x)) (pow.f32 x 2)))))))
(fabs.f32 x)
(*.f32 1/2 (pow.f32 x 2))
(*.f32 1/2 (pow.f32 x 2))
(+.f32 1 (fabs.f32 x))
(*.f32 1/2 (pow.f32 x 2))
(*.f32 1/2 (pow.f32 x 2))
(+.f32 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 0)
(+.f32 0 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))))
(-.f32 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 0)
(.f32 1 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))))
(.f32 1/2 (.f32 2 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))))))
(.f32 2 (/.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 2))
(.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 1)
(.f32 (.f32 2 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))))) 1/2)
(.f32 (/.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 2) 2)
(/.f32 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 1)
(/.f32 (.f32 2 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))))) 2)
(/.f32 (.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 4) 4)
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 4))) 16)
(pow.f32 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 1)
(+.f32 (*.f32 1/2 (pow.f32 x 2)) 0)
(+.f32 0 (*.f32 1/2 (pow.f32 x 2)))
(-.f32 (*.f32 1/2 (pow.f32 x 2)) 0)
(/.f32 (pow.f32 x 2) 2)
(/.f32 (*.f32 1/2 (pow.f32 x 2)) 1)
(/.f32 (*.f32 2 (pow.f32 x 2)) 4)
(/.f32 (*.f32 (pow.f32 x 2) 4) 8)
(/.f32 (.f32 2 (.f32 (pow.f32 x 2) 4)) 16)
(pow.f32 (*.f32 1/2 (pow.f32 x 2)) 1)
(-.f32 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 0)
(.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))
(*.f32 1/2 (+.f32 (fabs.f32 x) (+.f32 (pow.f32 x 2) (fabs.f32 x))))
(.f32 2 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 2))
(.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 1)
(*.f32 (+.f32 (fabs.f32 x) (+.f32 (pow.f32 x 2) (fabs.f32 x))) 1/2)
(.f32 (/.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 2) 2)
(/.f32 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 1)
(/.f32 (+.f32 (fabs.f32 x) (+.f32 (pow.f32 x 2) (fabs.f32 x))) 2)
(/.f32 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 4)) (.f32 2 (.f32 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 4))) 16)
(pow.f32 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) 1)
(-.f32 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)) -1)
(-.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 0)
(.f32 1 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))))
(.f32 1/2 (.f32 2 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))))
(.f32 2 (/.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 2))
(.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 1)
(.f32 (.f32 2 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 1/2)
(.f32 (/.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 2) 2)
(/.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 1)
(/.f32 (.f32 2 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) 2)
(/.f32 (.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 4)) (.f32 2 (.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 4))) 16)
(pow.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 1)

Outputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (-.f32 (fabs.f32 x) -1))
(+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x))))
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))))
(+.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) (*.f32 1/2 (/.f32 (pow.f32 x 2) (-.f32 (fabs.f32 x) -1))))
(+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))))
(+.f32 (+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x))))) (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (+.f32 1 (fabs.f32 x)) 2))))
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))))
(+.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (-.f32 (fabs.f32 x) -1))) (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (-.f32 (fabs.f32 x) -1) 2)))))
(+.f32 (.f32 1/24 (/.f32 (pow.f32 x 6) (pow.f32 (+.f32 1 (fabs.f32 x)) 3))) (+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x))))))
(+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (+.f32 (+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x))))) (*.f32 1/24 (/.f32 (pow.f32 x 6) (pow.f32 (+.f32 1 (fabs.f32 x)) 3)))))
(+.f32 (+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x))))) (+.f32 (.f32 1/24 (/.f32 (pow.f32 x 6) (pow.f32 (+.f32 1 (fabs.f32 x)) 3))) (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))))
(+.f32 (+.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) (.f32 1/2 (/.f32 (pow.f32 x 2) (-.f32 (fabs.f32 x) -1)))) (+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (-.f32 (fabs.f32 x) -1) 2))) (*.f32 1/24 (/.f32 (pow.f32 x 6) (pow.f32 (-.f32 (fabs.f32 x) -1) 3)))))
(+.f32 (+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x))))) (+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (*.f32 1/24 (/.f32 (pow.f32 x 6) (pow.f32 (+.f32 1 (fabs.f32 x)) 3)))))
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (+.f32 (.f32 1/24 (/.f32 (pow.f32 x 6) (pow.f32 (+.f32 1 (fabs.f32 x)) 3))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (+.f32 1 (fabs.f32 x)) 2))))))
(+.f32 (log.f32 1/2) (*.f32 -2 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 1/2) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (.f32 2 (/.f32 (+.f32 1 (fabs.f32 x)) (pow.f32 x 2)))))
(+.f32 (.f32 2 (/.f32 (+.f32 1 (fabs.f32 x)) (pow.f32 x 2))) (+.f32 (log.f32 1/2) (.f32 -2 (log.f32 (/.f32 1 x)))))
(+.f32 (log.f32 1/2) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (.f32 2 (/.f32 (-.f32 (fabs.f32 x) -1) (pow.f32 x 2)))))
(+.f32 (+.f32 (log.f32 1/2) (.f32 -2 (log.f32 (/.f32 1 x)))) (.f32 2 (/.f32 (+.f32 1 (fabs.f32 x)) (pow.f32 x 2))))
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(+.f32 1 (+.f32 (fabs.f32 x) (*.f32 1/2 (pow.f32 x 2))))
(+.f32 (fabs.f32 x) (+.f32 1 (*.f32 1/2 (pow.f32 x 2))))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 4)) (.f32 2 (.f32 (+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 4))) 16)
(+.f32 1 (+.f32 (fabs.f32 x) (*.f32 1/2 (pow.f32 x 2))))
(+.f32 (fabs.f32 x) (+.f32 1 (*.f32 1/2 (pow.f32 x 2))))
(pow.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))) 1)
(+.f32 1 (+.f32 (fabs.f32 x) (*.f32 1/2 (pow.f32 x 2))))
(+.f32 (fabs.f32 x) (+.f32 1 (*.f32 1/2 (pow.f32 x 2))))

eval105.0ms (1.6%)

Compiler: Compiled 5427 to 3711 computations (31.6% saved)

prune171.0ms (2.5%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	263	3	266
Fresh	0	1	1
Picked	0	1	1
Done	2	9	11
Total	265	14	279

Error

10.7b

Counts

279 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.7b	(copysign.f32 (/.f32 (fabs.f32 x) x) x)
	27.7b	(copysign.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))) x)
✓	27.8b	(copysign.f32 (neg.f32 (log.f32 (/.f32 1 x))) x)
	23.6b	(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
✓	21.5b	(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
✓	21.3b	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x)
✓	21.3b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) x)
✓	21.3b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 (-.f32 (-.f32 1 x) (/.f32 1/2 x)) -1))) x)
✓	20.4b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
✓	24.1b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
	23.9b	(copysign.f32 (log.f32 (+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))) x)
✓	26.7b	(copysign.f32 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) x)
✓	26.8b	(copysign.f32 (log.f32 (neg.f32 x)) x)
	27.8b	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 142 to 100 computations (29.6% saved)

regimes50.0ms (0.7%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	x
15.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)

Results

Error	Segments	Branch
10.8b	3	`x`
10.8b	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)`

Compiler

Compiled 219 to 127 computations (42% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	12.750635147094727	14.411211967468262
0.0ms	-inf	-44.92600631713867

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes29.0ms (0.4%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

1 calls:

25.0ms

Results

Error	Segments	Branch
11.6b	3	`x`

Compiler

Compiled 163 to 90 computations (44.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.5660040378570557	5.8412346839904785
0.0ms	-1.2091304063796997	-0.2213895320892334

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes147.0ms (2.2%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

1 calls:

143.0ms

Results

Error	Segments	Branch
11.6b	3	`x`

Compiler

Compiled 148 to 80 computations (45.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.5660040378570557	5.8412346839904785
0.0ms	-1.2091304063796997	-0.2213895320892334

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes32.0ms (0.5%)

Counts

12 → 3

Calls

Call 1

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

Outputs
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)

Calls

1 calls:

30.0ms

Results

Error	Segments	Branch
11.8b	3	`x`

Compiler

Compiled 86 to 46 computations (46.5% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.5660040378570557	5.8412346839904785
0.0ms	-1.2091304063796997	-0.2213895320892334

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes12.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

Outputs
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
13.0b	2	`x`

Compiler

Compiled 51 to 31 computations (39.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	-2.959522738475513e-38	8.015190676757176e-38

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes7.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

Outputs
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 x) x)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
17.2b	2	`x`

Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	-2.959522738475513e-38	8.015190676757176e-38

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes8.0ms (0.1%)

Accuracy

Total -9.4b remaining (-41.7%)

Threshold costs -9.4b (-41.7%)

Counts

2 → 2

Calls

Call 1

Inputs
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)

Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 x) x)

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
22.6b	2	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	-2.959522738475513e-38	8.015190676757176e-38

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	550

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) -inf.0) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) 14) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -1) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 (-.f32 (-.f32 1 x) (/.f32 1/2 x)) -1))) x) (if (<=.f32 x 1) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -1) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) x) (if (<=.f32 x 1) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -1) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 1) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -14272477/713623846352979940529142984724747568191373312) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x))
(if (<=.f32 x -14272477/713623846352979940529142984724747568191373312) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (copysign.f32 (log.f32 x) x))
(if (<=.f32 x -14272477/713623846352979940529142984724747568191373312) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 (log.f32 x) x)

Outputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) -inf.0) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) 14) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -1) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 (-.f32 (-.f32 1 x) (/.f32 1/2 x)) -1))) x) (if (<=.f32 x 1) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -1) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) x) (if (<=.f32 x 1) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -1) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 1) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -14272477/713623846352979940529142984724747568191373312) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x))
(if (<=.f32 x -14272477/713623846352979940529142984724747568191373312) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (copysign.f32 (log.f32 x) x))
(if (<=.f32 x -14272477/713623846352979940529142984724747568191373312) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log.f32 x) x))
(copysign.f32 (log.f32 x) x)

Compiler

Compiled 204 to 137 computations (32.8% saved)

soundness139.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1738×	`rational.json-simplify-35`
842×	`rational.json-simplify-41`
702×	`rational.json-simplify-1`
660×	`rational.json-simplify-44`
604×	`rational.json-simplify-59`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	2813
1	404	2743
2	820	2743
3	1932	2721
4	5142	2721
5	7550	2721

Stop Event

1×	node limit

Compiler

Compiled 45 to 31 computations (31.1% saved)

end87.0ms (1.3%)

Compiler: Compiled 197 to 123 computations (37.6% saved)