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)

sample2.3s (18.5%)

Results

2.3s

8256×

body

256

valid

Bogosity

preprocess9.0ms (0.1%)

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)

simplify95.0ms (0.8%)

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

20.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.7b	(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)

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (*.f32 x x) 1)
✓	0.0b	(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))
✓	6.5b	(sqrt.f32 (+.f32 (*.f32 x x) 1))
✓	13.2b	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))))

Compiler

Compiled 50 to 24 computations (52% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 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	(+.f32 (*.f32 x x) 1)
0.0ms	x	@	inf	(sqrt.f32 (+.f32 (*.f32 x x) 1))

rewrite73.0ms (0.6%)

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	88
1	82	88
2	191	88
3	690	88
4	4098	88

Stop Event

1×	node limit

Counts

4 → 60

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

simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1814×	`rational.json-simplify-35`
864×	`rational.json-simplify-1`
716×	`rational.json-simplify-51`
670×	`rational.json-simplify-2`
544×	`exponential.json-simplify-26`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	218	3186
1	464	3132
2	948	3132
3	2330	3098
4	5025	3086
5	7303	3086

Stop Event

1×	node limit

Counts

108 → 171

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

eval61.0ms (0.5%)

Compiler: Compiled 3619 to 2422 computations (33.1% saved)

prune111.0ms (0.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	157	14	171
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	157	15	172

Error

12.9b

Counts

172 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	26.9b	(copysign.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))) x)
	27.3b	(copysign.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)) x)
	27.9b	(copysign.f32 (neg.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 (/.f32 -1 x)))) x)
	27.6b	(copysign.f32 (neg.f32 (log.f32 (/.f32 1 x))) x)
▶	28.1b	(copysign.f32 (neg.f32 (log.f32 (/.f32 -1 x))) x)
	24.3b	(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))) x)
▶	21.8b	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x)
	24.3b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))) x)
▶	23.4b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) x))) x)
✓	20.7b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
	21.9b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 1 (.f32 x x))) (*.f32 x x))))) x)
	21.9b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 x (.f32 x (+.f32 1 (/.f32 1 (*.f32 x x)))))))) x)
▶	24.4b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
	23.5b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
▶	26.0b	(copysign.f32 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) x)

Compiler

Compiled 377 to 267 computations (29.2% saved)

localize27.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.1b	(log.f32 (-.f32 (fabs.f32 x) -1))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series141.0ms (1.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
110.0ms	x	@	inf	(log.f32 (-.f32 (fabs.f32 x) -1))
20.0ms	x	@	0	(log.f32 (-.f32 (fabs.f32 x) -1))
10.0ms	x	@	-inf	(log.f32 (-.f32 (fabs.f32 x) -1))

rewrite58.0ms (0.5%)

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)))))

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)))))

simplify127.0ms (1%)

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)))

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series1.1s (8.6%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.1s	x	@	0	(log.f32 (/.f32 -1 x))
9.0ms	x	@	-inf	(log.f32 (/.f32 -1 x))
6.0ms	x	@	inf	(log.f32 (/.f32 -1 x))
0.0ms	x	@	0	(/.f32 -1 x)
0.0ms	x	@	-inf	(/.f32 -1 x)

rewrite120.0ms (1%)

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	18
1	51	18
2	131	18
3	271	18
4	549	18
5	1436	18
6	3819	18
7	7659	18

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

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

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

860×	`rational.json-simplify-2`
834×	`rational.json-simplify-61`
778×	`rational.json-simplify-46`
748×	`rational.json-simplify-41`
724×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	159	1580
1	332	920
2	685	920
3	2133	920
4	5670	920

Stop Event

1×	node limit

Counts

80 → 76

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

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

localize125.0ms (1%)

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

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 1 x)
✓	0.0b	(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
✓	0.1b	(log.f32 (+.f32 (fabs.f32 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) x)))
✓	2.8b	(+.f32 (fabs.f32 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) x))

Compiler

Compiled 55 to 36 computations (34.5% saved)

series2.0ms (0%)

Counts

4 → 25

Calls

12 calls:

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

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`rational.json-simplify-35`
1354×	`rational.json-1`
1354×	`rational.json-2`
1354×	`rational.json-3`
1352×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	88
1	94	88
2	223	88
3	655	70
4	4092	70

Stop Event

1×	node limit

Counts

4 → 60

Calls

Call 1

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

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

simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1064×	`rational.json-simplify-61`
1012×	`rational.json-simplify-35`
818×	`rational.json-simplify-1`
654×	`rational.json-simplify-59`
618×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	170	2251
1	357	2219
2	797	2219
3	2231	2203
4	5437	2185
5	7461	2185

Stop Event

1×	node limit

Counts

85 → 131

Calls

Call 1

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

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

localize53.0ms (0.4%)

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 1/2 (pow.f32 x 2))
✓	0.0b	(+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))
✓	20.2b	(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	@	0	(log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))))
0.0ms	x	@	-inf	(log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x))))
0.0ms	x	@	inf	(*.f32 1/2 (pow.f32 x 2))
0.0ms	x	@	0	(*.f32 1/2 (pow.f32 x 2))

rewrite79.0ms (0.6%)

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

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1312×	`rational.json-simplify-35`
1064×	`rational.json-simplify-59`
1050×	`rational.json-simplify-2`
730×	`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	593	2315
3	1590	2303
4	3683	2303
5	6019	2303

Stop Event

1×	node limit

Counts

69 → 109

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

eval781.0ms (6.3%)

Compiler: Compiled 6374 to 4488 computations (29.6% saved)

prune80.0ms (0.6%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	323	9	332
Fresh	1	8	9
Picked	0	1	1
Done	1	4	5
Total	325	22	347

Error

12.8b

Counts

347 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	30.4b	(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (+.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 1/6 (/.f32 (+.f32 (.f32 (fabs.f32 x) -3) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))))) x)
	27.2b	(copysign.f32 (+.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)))) x)
	26.9b	(copysign.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))) x)
	27.3b	(copysign.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)) x)
	23.4b	(copysign.f32 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 x))) x)
▶	27.9b	(copysign.f32 (neg.f32 (+.f32 (/.f32 x (fabs.f32 x)) (log.f32 (/.f32 -1 x)))) x)
✓	28.1b	(copysign.f32 (neg.f32 (log.f32 (/.f32 -1 x))) x)
	30.2b	(copysign.f32 (neg.f32 (log.f32 (+.f32 (-.f32 1 (/.f32 1 x)) -1))) x)
▶	30.0b	(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (/.f32 (.f32 x x) 1/2)) -2))) x)
	30.1b	(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 -1 (.f32 x x)) x))) x)
	23.4b	(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
	24.3b	(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))) x)
✓	21.8b	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x)
	24.3b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))) x)
	23.4b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 1/2 x)))) x)
✓	20.7b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
▶	21.9b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 1 (.f32 x x))) (*.f32 x x))))) x)
▶	21.9b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 x (.f32 x (+.f32 1 (/.f32 1 (*.f32 x x)))))))) x)
✓	24.4b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
	23.5b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
✓	26.0b	(copysign.f32 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) x)
▶	27.6b	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 590 to 422 computations (28.5% saved)

localize148.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f32 1 (*.f32 x x))
✓	6.5b	(sqrt.f32 (.f32 (+.f32 1 (/.f32 1 (.f32 x x))) (*.f32 x x)))
✓	8.5b	(.f32 (+.f32 1 (/.f32 1 (.f32 x x))) (*.f32 x x))
✓	13.2b	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 1 (.f32 x x))) (*.f32 x x)))))

Compiler

Compiled 92 to 45 computations (51.1% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(.f32 (+.f32 1 (/.f32 1 (.f32 x x))) (*.f32 x x))
0.0ms	x	@	0	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 1 (.f32 x x))) (*.f32 x x)))))
0.0ms	x	@	inf	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 1 (.f32 x x))) (*.f32 x x)))))
0.0ms	x	@	inf	(.f32 (+.f32 1 (/.f32 1 (.f32 x x))) (*.f32 x x))
0.0ms	x	@	-inf	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 1 (.f32 x x))) (*.f32 x x)))))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1754×	`rational.json-simplify-35`
1120×	`rational.json-1`
1120×	`rational.json-2`
1120×	`rational.json-3`
1118×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	128
1	106	128
2	272	128
3	940	74
4	4104	74

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

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

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

simplify189.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1826×	`rational.json-simplify-35`
1026×	`rational.json-simplify-49`
868×	`rational.json-simplify-46`
610×	`rational.json-simplify-19`
578×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	315	4303
1	781	4231
2	2360	4051
3	7191	4029

Stop Event

1×	node limit

Counts

161 → 204

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

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

localize12.0ms (0.1%)

Compiler: Compiled 8 to 3 computations (62.5% saved)

localize592.0ms (4.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f32 (/.f32 x (/.f32 (.f32 x x) 1/2)) -2)
✓	0.0b	(log.f32 (.f32 (/.f32 x (/.f32 (.f32 x x) 1/2)) -2))
✓	0.0b	(/.f32 (*.f32 x x) 1/2)
✓	13.8b	(/.f32 x (/.f32 (*.f32 x x) 1/2))

Compiler

Compiled 62 to 35 computations (43.5% saved)

series1.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`rational.json-simplify-35`
1036×	`rational.json-1`
1036×	`rational.json-2`
1036×	`rational.json-3`
1034×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	86
1	80	86
2	214	86
3	673	50
4	3465	46

Stop Event

1×	node limit

Counts

4 → 98

Calls

Call 1

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

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

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1026×	`rational.json-simplify-51`
916×	`rational.json-simplify-59`
812×	`rational.json-simplify-39`
724×	`rational.json-simplify-43`
714×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	1702
1	379	1694
2	1048	1658
3	5272	1658

Stop Event

1×	node limit

Counts

146 → 114

Calls

Call 1

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

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

localize51.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 47 to 24 computations (48.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1400×	`rational.json-simplify-35`
1230×	`rational.json-1`
1230×	`rational.json-2`
1230×	`rational.json-3`
1228×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	75	27
2	206	27
3	718	27
4	3800	27

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1714×	`rational.json-simplify-35`
1346×	`rational.json-simplify-2`
1148×	`rational.json-simplify-1`
822×	`rational.json-simplify-41`
726×	`rational.json-simplify-59`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	697
1	93	689
2	203	689
3	550	689
4	2056	689
5	5012	689
6	7484	689

Stop Event

1×	node limit

Counts

25 → 25

Calls

Call 1

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

localize86.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f32 1 (*.f32 x x))
✓	6.5b	(sqrt.f32 (.f32 x (.f32 x (+.f32 1 (/.f32 1 (*.f32 x x))))))
✓	7.9b	(.f32 x (+.f32 1 (/.f32 1 (.f32 x x))))
✓	13.2b	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 x (.f32 x (+.f32 1 (/.f32 1 (*.f32 x x))))))))

Compiler

Compiled 101 to 55 computations (45.5% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1718×	`rational.json-simplify-35`
1086×	`rational.json-1`
1086×	`rational.json-2`
1086×	`rational.json-3`
1084×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	109
1	111	109
2	271	109
3	923	61
4	4025	61

Stop Event

1×	node limit

Counts

3 → 41

Calls

Call 1

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

Outputs

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

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

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

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1726×	`rational.json-simplify-35`
838×	`rational.json-simplify-2`
792×	`rational.json-simplify-41`
626×	`rational.json-simplify-44`
610×	`rational.json-simplify-59`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	2379
1	360	2317
2	716	2317
3	1575	2295
4	4355	2295
5	6859	2295

Stop Event

1×	node limit

Counts

77 → 119

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

eval376.0ms (3%)

Compiler: Compiled 11923 to 7437 computations (37.6% saved)

prune303.0ms (2.4%)

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	581	6	587
Fresh	3	9	12
Picked	0	1	1
Done	2	7	9
Total	586	23	609

Error

12.8b

Counts

609 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	27.2b	(copysign.f32 (+.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)))) x)
	26.9b	(copysign.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))) x)
	27.0b	(copysign.f32 (neg.f32 (/.f32 x (fabs.f32 x))) x)
✓	28.1b	(copysign.f32 (neg.f32 (log.f32 (/.f32 -1 x))) x)
▶	30.2b	(copysign.f32 (neg.f32 (log.f32 (+.f32 (-.f32 1 (/.f32 1 x)) -1))) x)
	30.4b	(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (.f32 x (.f32 (.f32 x (.f32 x x)) (/.f32 2 (.f32 x x))))) -2))) x)
	30.1b	(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 -1 (.f32 x x)) x))) x)
	29.8b	(copysign.f32 (neg.f32 (log.f32 (.f32 (.f32 (*.f32 x 4) (/.f32 (/.f32 1/8 x) x)) -2))) x)
▶	23.4b	(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
▶	24.3b	(copysign.f32 (log.f32 (-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))) x)
✓	21.8b	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x)
	24.3b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (neg.f32 x) (*.f32 1/2 (/.f32 1 x))))) x)
	23.4b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 1/2 x)))) x)
✓	20.7b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
	21.8b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 (/.f32 1 x) x)) (.f32 x x))))) x)
✓	21.9b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 1 (.f32 x x))) (*.f32 x x))))) x)
▶	21.8b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (.f32 (/.f32 2 x) (/.f32 1/2 x))) (*.f32 x x))))) x)
	21.8b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (*.f32 x (/.f32 1 x))))) x)
✓	21.9b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 x (.f32 x (+.f32 1 (/.f32 1 (*.f32 x x)))))))) x)
✓	24.4b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (neg.f32 x))) x)
▶	23.5b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
✓	26.0b	(copysign.f32 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) x)
✓	27.6b	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 557 to 392 computations (29.6% saved)

localize633.0ms (5.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 (/.f32 2 x) (/.f32 1/2 x))
✓	6.5b	(sqrt.f32 (.f32 (+.f32 1 (.f32 (/.f32 2 x) (/.f32 1/2 x))) (*.f32 x x)))
✓	8.5b	(.f32 (+.f32 1 (.f32 (/.f32 2 x) (/.f32 1/2 x))) (*.f32 x x))
✓	13.2b	(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (.f32 (/.f32 2 x) (/.f32 1/2 x))) (*.f32 x x)))))

Compiler

Compiled 114 to 72 computations (36.8% saved)

series1.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`rational.json-simplify-35`
944×	`rational.json-1`
944×	`rational.json-2`
944×	`rational.json-3`
942×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	152
1	129	152
2	289	152
3	941	128
4	3782	74

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (.f32 x x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (.f32 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (.f32 x x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (.f32 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (.f32 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (log.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (.f32 x x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (.f32 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (.f32 x x)))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (.f32 x x))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (.f32 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (.f32 x x)))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (.f32 x x))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (.f32 x x))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (.f32 x x))))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (.f32 x x))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (.f32 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 1 (.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1 (.f32 x (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (.f32 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (/.f32 (/.f32 1 x) x)) (/.f32 (/.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 2 (.f32 x x)) 2) (/.f32 2 (.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 2 (.f32 x (+.f32 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 1 (.f32 x x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 1 (.f32 x x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (+.f32 1 (.f32 x x)) 4)) (.f32 2 (.f32 (+.f32 1 (.f32 x x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 1 (/.f32 (/.f32 1 x) x))) (neg.f32 (/.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 1 (.f32 x x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (+.f32 1 (.f32 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (+.f32 1 (.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (sqrt.f32 (+.f32 1 (.f32 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sqrt.f32 (+.f32 1 (.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (sqrt.f32 (+.f32 1 (.f32 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (sqrt.f32 (+.f32 1 (.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 1 (.f32 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (sqrt.f32 (+.f32 1 (.f32 x x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (+.f32 1 (.f32 x x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 1 (.f32 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (sqrt.f32 (+.f32 1 (.f32 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (+.f32 1 (.f32 x x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 1 (.f32 x x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 1 (.f32 x x))) 4)) (.f32 2 (.f32 (sqrt.f32 (+.f32 1 (.f32 x x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 1 (.f32 x x))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 1 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (/.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (/.f32 1 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 x (.f32 x (.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fabs.f32 x) (.f32 x (.f32 x (fabs.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (.f32 x (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (-.f32 0 (.f32 x (.f32 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 2 x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1/2 x) (.f32 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x x) (neg.f32 (.f32 x (.f32 x (.f32 x (neg.f32 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (.f32 x (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x x) (.f32 x (.f32 x (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (.f32 x (.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 2 (.f32 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 4 x) (.f32 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 (.f32 (.f32 x x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fabs.f32 x) 2) (.f32 x (.f32 x (.f32 (fabs.f32 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x (+.f32 x x)) (.f32 (.f32 x x) (.f32 x (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -2 (.f32 x (.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -2 (neg.f32 (.f32 x (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 x) (neg.f32 (.f32 x (.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x (neg.f32 x)) (.f32 x (.f32 x (.f32 x (neg.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (.f32 x (.f32 x (fabs.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (fabs.f32 x)) (fabs.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (fabs.f32 x)) (/.f32 (.f32 x (.f32 x (neg.f32 (fabs.f32 x)))) (.f32 x (neg.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 2 x) (/.f32 2 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (/.f32 4 x)) (.f32 2 (.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 16 (.f32 (.f32 x 4) (.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -4 (.f32 (neg.f32 x) (.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -4 (+.f32 (neg.f32 (.f32 x (+.f32 x x))) (neg.f32 (.f32 x (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -4 (-.f32 0 (.f32 x (.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x (.f32 x 4)) (.f32 (.f32 x (.f32 x 4)) (.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x (.f32 x -2)) (.f32 (.f32 x x) (.f32 x (.f32 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -1 x) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -1 (fabs.f32 x)) (neg.f32 (fabs.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 2 (fabs.f32 x)) (.f32 (fabs.f32 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 2 (fabs.f32 x)) (+.f32 (/.f32 (.f32 x (.f32 x (neg.f32 (fabs.f32 x)))) (.f32 x (neg.f32 x))) (/.f32 (.f32 x (.f32 x (neg.f32 (fabs.f32 x)))) (.f32 x (neg.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 2 x)) (neg.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 (/.f32 1 x) x) (/.f32 (/.f32 1 x) x)) (/.f32 (/.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (/.f32 2 (fabs.f32 x))) (.f32 (fabs.f32 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (/.f32 4 x))) (.f32 2 (.f32 2 (.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 32 (+.f32 (.f32 (.f32 x 4) (.f32 x 4)) (.f32 (.f32 x 4) (.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -8 (+.f32 (.f32 (neg.f32 x) (.f32 x 4)) (.f32 (neg.f32 x) (.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -8 (-.f32 0 (.f32 (.f32 x x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (/.f32 2 x) (/.f32 2 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (/.f32 -1 x)) (.f32 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (neg.f32 (/.f32 2 x))) (.f32 2 (neg.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 1 (fabs.f32 x)) (.f32 x x)) (/.f32 1 (fabs.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 1/2 x) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 x (+.f32 x x))) (neg.f32 (.f32 (.f32 x x) (.f32 x (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 1/2 x)) (neg.f32 (.f32 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 4 x)) (neg.f32 (.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (/.f32 2 x))) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (/.f32 2 x))) (-.f32 0 (neg.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 4 (.f32 x x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (/.f32 4 x)) (neg.f32 (/.f32 4 x))) (+.f32 (neg.f32 (.f32 x 4)) (neg.f32 (.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (/.f32 2 x) (/.f32 2 x))) (.f32 2 (.f32 (/.f32 2 x) (/.f32 2 x)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (/.f32 -1 x)) (.f32 2 (/.f32 -1 x))) (.f32 2 (.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (neg.f32 (/.f32 2 x))) (.f32 2 (neg.f32 (/.f32 2 x)))) (+.f32 (.f32 2 (neg.f32 (+.f32 x x))) (.f32 2 (neg.f32 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 (/.f32 1/2 x) x) (/.f32 (/.f32 1/2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (/.f32 1/2 x)) (neg.f32 (/.f32 1/2 x))) (+.f32 (neg.f32 (.f32 x 1/2)) (neg.f32 (.f32 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (neg.f32 (/.f32 2 x))) (neg.f32 (neg.f32 (/.f32 2 x)))) (.f32 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 2 (fabs.f32 x)) (.f32 x x)) (/.f32 2 (fabs.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 2 (fabs.f32 x))) (neg.f32 (.f32 (fabs.f32 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 2 (/.f32 4 x))) (-.f32 0 (.f32 2 (.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (/.f32 4 x))) (.f32 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 2 (/.f32 -1 x))) (-.f32 0 (.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (/.f32 1/2 x))) (.f32 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (neg.f32 (/.f32 2 x)))) (neg.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (/.f32 (/.f32 1 x) x))))))

simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1098×	`rational.json-simplify-54`
988×	`rational.json-simplify-43`
856×	`rational.json-simplify-2`
728×	`rational.json-simplify-35`
530×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	3866
1	1015	3786
2	3270	3728

Stop Event

1×	node limit

Counts

168 → 211

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

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 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (+.f32 (log.f32 (+.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 (pow.f32 (-.f32 (fabs.f32 x) -1) 2)) (/.f32 1 (-.f32 (fabs.f32 x) -1)))) (.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 3 (.f32 (+.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 -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 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (+.f32 (log.f32 (+.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 (log.f32 (-.f32 (fabs.f32 x) -1)) (.f32 1/2 (/.f32 (pow.f32 x 2) (-.f32 (fabs.f32 x) -1)))) (+.f32 (.f32 (.f32 3 (+.f32 (/.f32 1 (pow.f32 (-.f32 (fabs.f32 x) -1) 2)) (/.f32 1 (-.f32 (fabs.f32 x) -1)))) (.f32 -1/24 (pow.f32 x 4))) (.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 (log.f32 (+.f32 1 (fabs.f32 x))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (.f32 3 (.f32 (+.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 -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 (.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))))
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(/.f32 1 (*.f32 x x))
(/.f32 (/.f32 2 (fabs.f32 x)) (+.f32 (/.f32 (.f32 x (.f32 x (neg.f32 (fabs.f32 x)))) (.f32 x (neg.f32 x))) (/.f32 (.f32 x (.f32 x (neg.f32 (fabs.f32 x)))) (.f32 x (neg.f32 x)))))
(/.f32 (/.f32 1 (fabs.f32 x)) (.f32 (.f32 x (neg.f32 (fabs.f32 x))) (/.f32 x (*.f32 x (neg.f32 x)))))
(.f32 x (/.f32 (neg.f32 x) (/.f32 (.f32 x (*.f32 (fabs.f32 x) (neg.f32 x))) (/.f32 1 (fabs.f32 x)))))
(/.f32 1 (.f32 (/.f32 x (.f32 x (neg.f32 x))) (.f32 x (.f32 x (neg.f32 x)))))
(/.f32 (neg.f32 (/.f32 2 x)) (neg.f32 (+.f32 x x)))
(/.f32 1 (*.f32 x x))
(/.f32 (*.f32 (/.f32 (/.f32 1 x) x) (/.f32 (/.f32 1 x) x)) (/.f32 (/.f32 1 x) x))
(/.f32 1 (*.f32 x x))
(/.f32 (.f32 2 (/.f32 2 (fabs.f32 x))) (.f32 (fabs.f32 x) 4))
(/.f32 1 (*.f32 x x))
(/.f32 (.f32 2 (.f32 2 (/.f32 4 x))) (.f32 2 (.f32 2 (*.f32 x 4))))
(/.f32 1 (*.f32 x x))
(/.f32 32 (+.f32 (.f32 (.f32 x 4) (.f32 x 4)) (.f32 (.f32 x 4) (.f32 x 4))))
(/.f32 1 (*.f32 x x))
(/.f32 -8 (+.f32 (.f32 (neg.f32 x) (.f32 x 4)) (.f32 (neg.f32 x) (.f32 x 4))))
(/.f32 1 (*.f32 x x))
(/.f32 -8 (-.f32 0 (.f32 (.f32 x x) 8)))
(/.f32 1 (*.f32 x x))
(/.f32 (.f32 2 (.f32 (/.f32 2 x) (/.f32 2 x))) 8)
(.f32 (.f32 (/.f32 2 x) (/.f32 2 x)) 1/4)
(.f32 (/.f32 2 x) (.f32 (/.f32 2 x) 1/4))
(/.f32 (.f32 2 (/.f32 -1 x)) (.f32 x -2))
(/.f32 1 (*.f32 x x))
(/.f32 (.f32 2 (neg.f32 (/.f32 2 x))) (.f32 2 (neg.f32 (+.f32 x x))))
(/.f32 1 (*.f32 x x))
(/.f32 (/.f32 (/.f32 1 (fabs.f32 x)) (*.f32 x x)) (/.f32 1 (fabs.f32 x)))
(/.f32 1 (*.f32 x x))
(/.f32 (/.f32 (/.f32 1/2 x) x) 1/2)
(/.f32 1 (*.f32 x x))
(/.f32 (neg.f32 (.f32 x (+.f32 x x))) (neg.f32 (.f32 (.f32 x x) (.f32 x (+.f32 x x)))))
(/.f32 1 (*.f32 x x))
(/.f32 (neg.f32 (/.f32 1/2 x)) (neg.f32 (*.f32 x 1/2)))
(/.f32 1 (*.f32 x x))
(/.f32 (neg.f32 (/.f32 4 x)) (neg.f32 (*.f32 x 4)))
(/.f32 1 (*.f32 x x))
(/.f32 (neg.f32 (neg.f32 (/.f32 2 x))) (+.f32 x x))
(/.f32 1 (*.f32 x x))
(/.f32 (neg.f32 (neg.f32 (/.f32 2 x))) (-.f32 0 (neg.f32 (+.f32 x x))))
(/.f32 1 (*.f32 x x))
(/.f32 (/.f32 4 (*.f32 x x)) 4)
(/.f32 1 (*.f32 x x))
(/.f32 (+.f32 (neg.f32 (/.f32 4 x)) (neg.f32 (/.f32 4 x))) (+.f32 (neg.f32 (.f32 x 4)) (neg.f32 (.f32 x 4))))
(/.f32 1 (*.f32 x x))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 2 x) (/.f32 2 x))) (.f32 2 (.f32 (/.f32 2 x) (/.f32 2 x)))) 16)
(.f32 (.f32 (/.f32 2 x) (/.f32 2 x)) 1/4)
(.f32 (/.f32 2 x) (.f32 (/.f32 2 x) 1/4))
(/.f32 (+.f32 (.f32 2 (/.f32 -1 x)) (.f32 2 (/.f32 -1 x))) (.f32 2 (.f32 x -2)))
(/.f32 1 (*.f32 x x))
(/.f32 (+.f32 (.f32 2 (neg.f32 (/.f32 2 x))) (.f32 2 (neg.f32 (/.f32 2 x)))) (+.f32 (.f32 2 (neg.f32 (+.f32 x x))) (.f32 2 (neg.f32 (+.f32 x x)))))
(/.f32 1 (*.f32 x x))
(/.f32 (+.f32 (/.f32 (/.f32 1/2 x) x) (/.f32 (/.f32 1/2 x) x)) 1)
(/.f32 1 (*.f32 x x))
(/.f32 (+.f32 (neg.f32 (/.f32 1/2 x)) (neg.f32 (/.f32 1/2 x))) (+.f32 (neg.f32 (.f32 x 1/2)) (neg.f32 (.f32 x 1/2))))
(/.f32 1 (*.f32 x x))
(/.f32 (+.f32 (neg.f32 (neg.f32 (/.f32 2 x))) (neg.f32 (neg.f32 (/.f32 2 x)))) (*.f32 x 4))
(/.f32 (+.f32 (neg.f32 (/.f32 -2 x)) (neg.f32 (/.f32 -2 x))) (*.f32 x 4))
(/.f32 (.f32 (/.f32 -2 x) -2) (.f32 x 4))
(/.f32 (/.f32 (/.f32 2 (fabs.f32 x)) (*.f32 x x)) (/.f32 2 (fabs.f32 x)))
(/.f32 1 (*.f32 x x))
(/.f32 (neg.f32 (/.f32 2 (fabs.f32 x))) (neg.f32 (*.f32 (fabs.f32 x) 2)))
(/.f32 1 (*.f32 x x))
(/.f32 (neg.f32 (.f32 2 (/.f32 4 x))) (-.f32 0 (.f32 2 (*.f32 x 4))))
(/.f32 1 (*.f32 x x))
(/.f32 (neg.f32 (neg.f32 (/.f32 4 x))) (*.f32 x 4))
(/.f32 1 (*.f32 x x))
(/.f32 (neg.f32 (.f32 2 (/.f32 -1 x))) (-.f32 0 (.f32 x -2)))
(/.f32 1 (*.f32 x x))
(/.f32 (neg.f32 (neg.f32 (/.f32 1/2 x))) (*.f32 x 1/2))
(/.f32 1 (*.f32 x x))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (/.f32 2 x)))) (neg.f32 (+.f32 x x)))
(/.f32 1 (*.f32 x x))
(pow.f32 (/.f32 (/.f32 1 x) x) 1)
(/.f32 1 (*.f32 x x))
(fabs.f32 (/.f32 (/.f32 1 x) x))
(/.f32 1 (*.f32 x x))

localize116.0ms (0.9%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series447.0ms (3.6%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
427.0ms	x	@	inf	(log.f32 (/.f32 1/2 x))
10.0ms	x	@	-inf	(log.f32 (/.f32 1/2 x))
10.0ms	x	@	0	(log.f32 (/.f32 1/2 x))
0.0ms	x	@	0	(/.f32 1/2 x)
0.0ms	x	@	inf	(/.f32 1/2 x)

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`rational.json-1`
1184×	`rational.json-2`
1184×	`rational.json-3`
1174×	`rational.json-4`
1164×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	47	18
2	113	18
3	263	18
4	528	18
5	1447	18
6	4300	18

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) (log.f32 (sqrt.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (/.f32 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 (/.f32 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (/.f32 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (log.f32 (/.f32 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (/.f32 1/2 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (log.f32 (/.f32 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (/.f32 1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (/.f32 1/2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (/.f32 1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (/.f32 1/2 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log.f32 (/.f32 1/2 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (log.f32 (/.f32 1/2 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (/.f32 1/2 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 -1 (-.f32 1 (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/4 x) (/.f32 1/4 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 1/2 (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (/.f32 1/2 (*.f32 x x)))))) (#(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 (+.f32 x x) (/.f32 1/4 (*.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 x (/.f32 1/4 (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 4) (/.f32 1/8 (*.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (/.f32 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/4 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (*.f32 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 x) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/8 (*.f32 x x)) (*.f32 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/8 x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x (/.f32 1/4 (*.f32 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 -1/2 x))))))

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1278×	`rational.json-simplify-61`
1136×	`rational.json-simplify-51`
1072×	`rational.json-simplify-35`
754×	`rational.json-simplify-2`
738×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	882
1	170	816
2	381	816
3	1032	816
4	2226	816
5	6795	816

Stop Event

1×	node limit

Counts

60 → 53

Calls

Call 1

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

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

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f32 1 x)
✓	0.0b	(-.f32 1 (/.f32 1 x))
✓	0.0b	(log.f32 (+.f32 (-.f32 1 (/.f32 1 x)) -1))
✓	10.5b	(+.f32 (-.f32 1 (/.f32 1 x)) -1)

Compiler

Compiled 47 to 39 computations (17% saved)

series34.0ms (0.3%)

Counts

3 → 27

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	(log.f32 (+.f32 (-.f32 1 (/.f32 1 x)) -1))
7.0ms	x	@	0	(log.f32 (+.f32 (-.f32 1 (/.f32 1 x)) -1))
7.0ms	x	@	-inf	(log.f32 (+.f32 (-.f32 1 (/.f32 1 x)) -1))
0.0ms	x	@	0	(-.f32 1 (/.f32 1 x))
0.0ms	x	@	0	(+.f32 (-.f32 1 (/.f32 1 x)) -1)

rewrite160.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`rational.json-1`
1164×	`rational.json-2`
1164×	`rational.json-3`
1152×	`rational.json-4`
1148×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	77	43
2	167	39
3	327	39
4	668	31
5	1837	31
6	4894	31

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 1 (+.f32 1 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 (/.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 -1 (+.f32 (/.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 -1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 -2 (+.f32 (/.f32 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (/.f32 1/2 x)) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (neg.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (/.f32 -1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 -1 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (/.f32 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (neg.f32 (/.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (/.f32 -1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (/.f32 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (/.f32 2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 -1 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (*.f32 x x) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 x (*.f32 (neg.f32 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (*.f32 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (*.f32 x (+.f32 x x)) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (*.f32 x 8) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (*.f32 (*.f32 x 4) 4) -8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x x) (*.f32 2 (*.f32 (neg.f32 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x x) (neg.f32 (*.f32 x (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 1 x) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 2 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (*.f32 (neg.f32 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (neg.f32 (*.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 (*.f32 (*.f32 x 4) 4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (-.f32 0 (neg.f32 (*.f32 (neg.f32 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 x 4) (*.f32 2 (neg.f32 (*.f32 x (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 x) (*.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 x) (-.f32 0 (*.f32 (neg.f32 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 x x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 -1 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -2 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 4 x) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 (*.f32 2 (*.f32 (neg.f32 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 (*.f32 2 (neg.f32 (*.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 (neg.f32 (*.f32 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (neg.f32 (*.f32 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 x -2) (*.f32 x (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 x -2) (-.f32 0 (neg.f32 (*.f32 x (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 -1 x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -4 (*.f32 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -4 (neg.f32 (*.f32 (neg.f32 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 x) 4) (*.f32 x (*.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 1 x) 8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 16 (neg.f32 (*.f32 (*.f32 x 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 16 (*.f32 2 (neg.f32 (*.f32 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/4 (-.f32 0 (/.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 1/2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1/2 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (/.f32 -1 x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 32 (*.f32 2 (neg.f32 (*.f32 (*.f32 x 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 32 (-.f32 0 (*.f32 2 (*.f32 (*.f32 x 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -8 (*.f32 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -8 (*.f32 2 (neg.f32 (*.f32 (neg.f32 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -8 (-.f32 0 (*.f32 2 (*.f32 (neg.f32 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -8 (-.f32 0 (*.f32 2 (neg.f32 (*.f32 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -8 (-.f32 0 (neg.f32 (*.f32 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (/.f32 1 x) 8)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1/2 (*.f32 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 4 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (/.f32 1 x) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -16 (*.f32 (*.f32 x 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -16 (-.f32 0 (neg.f32 (*.f32 (*.f32 x 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (neg.f32 x) 4)) (-.f32 0 (*.f32 x (*.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (/.f32 -1 x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (neg.f32 (/.f32 2 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (neg.f32 (/.f32 4 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (neg.f32 (*.f32 (/.f32 1 x) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -32 (*.f32 2 (*.f32 (*.f32 x 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -1 (+.f32 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1/4 (/.f32 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -1 (*.f32 x 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -1 (*.f32 x 8)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -1 (*.f32 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 x) 2) (*.f32 1/2 (*.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 x) 1/2) (*.f32 x (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 x) (fabs.f32 x)) (fabs.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 x) (fabs.f32 (+.f32 x x))) (*.f32 1/2 (fabs.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -2 (*.f32 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -2 (*.f32 x 8)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 x -2) x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 x (neg.f32 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -4 (+.f32 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -4 (*.f32 x 8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -8 x) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -8 (+.f32 x x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -8 (*.f32 x 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 -4 x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 x (*.f32 x -2)) (*.f32 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 x (neg.f32 (*.f32 x 4))) (*.f32 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 x (neg.f32 x))) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 (neg.f32 x) 2)) (-.f32 0 (*.f32 1/2 (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 x (*.f32 x -2))) (neg.f32 (*.f32 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 x (neg.f32 (*.f32 x 4)))) (-.f32 0 (*.f32 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 (neg.f32 x) 1/2)) (neg.f32 (*.f32 x (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 (*.f32 x -2) x)) (*.f32 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 (neg.f32 x) (fabs.f32 x))) (-.f32 0 (fabs.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 (neg.f32 x) (fabs.f32 (+.f32 x x)))) (-.f32 0 (*.f32 1/2 (fabs.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 -1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 1 x))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (/.f32 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (neg.f32 (+.f32 (/.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 1 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (-.f32 1 (+.f32 (/.f32 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (+.f32 (/.f32 1 x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (-.f32 1 (/.f32 1 x)) 1/2) (*.f32 (-.f32 1 (/.f32 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 1 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (/.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (+.f32 (/.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (-.f32 1 (/.f32 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (-.f32 1 (/.f32 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 1 (/.f32 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 1 (/.f32 1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (-.f32 1 (/.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (-.f32 1 (/.f32 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 1 (/.f32 1 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 1 (/.f32 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (/.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 (/.f32 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 1 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 (/.f32 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (+.f32 (/.f32 1 x) -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 (/.f32 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (/.f32 1 x) -1) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (-.f32 1 (/.f32 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 2 (+.f32 (/.f32 1 x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (-.f32 1 (/.f32 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (neg.f32 (*.f32 2 (+.f32 (/.f32 1 x) -1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 1 (/.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 (/.f32 1 x) -1))))))

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1140×	`rational.json-simplify-61`
1066×	`rational.json-simplify-38`
1028×	`rational.json-simplify-2`
812×	`rational.json-simplify-36`
808×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	324	1860
1	979	1828
2	3245	1828
3	6683	1828

Stop Event

1×	node limit

Counts

196 → 181

Calls

Call 1

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

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

localize27.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(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))

rewrite57.0ms (0.5%)

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)))))

simplify81.0ms (0.7%)

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)))

localize59.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 58 to 30 computations (48.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`rational.json-1`
1434×	`rational.json-2`
1434×	`rational.json-3`
1432×	`exponential.json-3`
1432×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	70
1	103	70
2	249	70
3	736	58
4	4519	58

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

((#(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)))))

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

simplify128.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1968×	`rational.json-simplify-35`
906×	`rational.json-simplify-2`
810×	`rational.json-simplify-51`
764×	`rational.json-simplify-1`
620×	`rational.json-simplify-19`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	2495
1	307	2251
2	616	2251
3	1346	2223
4	3606	2223
5	6155	2223

Stop Event

1×	node limit

Counts

71 → 102

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

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

eval183.0ms (1.5%)

Compiler: Compiled 11273 to 7363 computations (34.7% saved)

prune433.0ms (3.5%)

Pruning

25 alts after pruning (16 fresh and 9 done)

	Pruned	Kept	Total
New	629	10	639
Fresh	4	6	10
Picked	1	0	1
Done	3	9	12
Total	637	25	662

Error

12.7b

Counts

662 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	20.7b	(copysign.f32 (/.f32 (log.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))) 2)) 2) x)
	27.2b	(copysign.f32 (+.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)))) x)
	26.9b	(copysign.f32 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))) x)
	23.4b	(copysign.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) 2) x)
	27.0b	(copysign.f32 (neg.f32 (/.f32 x (fabs.f32 x))) x)
✓	23.4b	(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
	24.4b	(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
✓	21.8b	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x)
	24.3b	(copysign.f32 (log.f32 (+.f32 (-.f32 -1 (/.f32 1/2 x)) (+.f32 (fabs.f32 x) (-.f32 1 x)))) x)
	24.3b	(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (/.f32 1/2 x)))) x)
	24.3b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (-.f32 (/.f32 -1/2 x) x))) x)
	23.4b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 1/2 x)))) x)
✓	20.7b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
	21.8b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 (/.f32 1 x) x)) (.f32 x x))))) x)
	22.1b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 (+.f32 x x) (.f32 x (.f32 x (+.f32 x x))))) (.f32 x x))))) x)
	22.1b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 x (.f32 x (.f32 x x)))) (.f32 x x))))) x)
✓	21.9b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 1 (.f32 x x))) (*.f32 x x))))) x)
✓	21.8b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (.f32 (/.f32 2 x) (/.f32 1/2 x))) (*.f32 x x))))) x)
	21.8b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (*.f32 x (/.f32 1 x))))) x)
✓	21.9b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 x (.f32 x (+.f32 1 (/.f32 1 (*.f32 x x)))))))) x)
✓	23.5b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) x)) x)
✓	26.0b	(copysign.f32 (log.f32 (+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))) x)
	30.0b	(copysign.f32 (log.f32 (+.f32 -1 (-.f32 1 (/.f32 -1/2 x)))) x)
	28.1b	(copysign.f32 (log.f32 (neg.f32 x)) x)
✓	27.6b	(copysign.f32 (log.f32 x) x)

Compiler

Compiled 356 to 247 computations (30.6% saved)

regimes82.0ms (0.7%)

Counts

40 → 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 (neg.f32 (log.f32 (/.f32 -1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1 x))) x)
(copysign.f32 (neg.f32 (/.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 -1 (-.f32 1 (/.f32 -1/2 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 -1 (.f32 x x)) x))) x)
(copysign.f32 (neg.f32 (log.f32 (+.f32 (-.f32 1 (/.f32 1 x)) -1))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (/.f32 (.f32 x x) 1/2)) -2))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (.f32 (*.f32 x 4) (/.f32 (/.f32 1/8 x) x)) -2))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (.f32 x (.f32 (.f32 x (.f32 x x)) (/.f32 2 (.f32 x x))))) -2))) 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 (log.f32 1/2) (neg.f32 (log.f32 x))) x)
(copysign.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) 2) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.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 (/.f32 x (fabs.f32 x)) (log.f32 (/.f32 -1 x)))) x)
(copysign.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) x))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (/.f32 1/2 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 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 -1 (/.f32 1/2 x)) (+.f32 (fabs.f32 x) (-.f32 1 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (*.f32 x (/.f32 1 x))))) 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 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 x (.f32 x (+.f32 1 (/.f32 1 (*.f32 x x)))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 1 (.f32 x x))) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 (/.f32 1 x) x)) (.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (.f32 (/.f32 2 x) (/.f32 1/2 x))) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 x (.f32 x (.f32 x x)))) (.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 (+.f32 x x) (.f32 x (.f32 x (+.f32 x x))))) (.f32 x x))))) x)
(copysign.f32 (/.f32 (log.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))) 2)) 2) 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)
(copysign.f32 (+.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)))) x)
(copysign.f32 (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (+.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 1/6 (/.f32 (+.f32 (.f32 (fabs.f32 x) -3) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))))) x)

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

Calls

2 calls:

48.0ms	x
22.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)

Results

Error	Segments	Branch
13.1b	3	`x`
13.1b	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)`

Compiler

Compiled 557 to 334 computations (40% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.527757167816162	8.523093223571777
0.0ms	-inf	-44.35713195800781

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes147.0ms (1.2%)

Counts

36 → 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 (neg.f32 (log.f32 (/.f32 -1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1 x))) x)
(copysign.f32 (neg.f32 (/.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 -1 (-.f32 1 (/.f32 -1/2 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 -1 (.f32 x x)) x))) x)
(copysign.f32 (neg.f32 (log.f32 (+.f32 (-.f32 1 (/.f32 1 x)) -1))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (/.f32 (.f32 x x) 1/2)) -2))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (.f32 (*.f32 x 4) (/.f32 (/.f32 1/8 x) x)) -2))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (.f32 x (.f32 (.f32 x (.f32 x x)) (/.f32 2 (.f32 x x))))) -2))) 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 (log.f32 1/2) (neg.f32 (log.f32 x))) x)
(copysign.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) 2) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.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 (/.f32 x (fabs.f32 x)) (log.f32 (/.f32 -1 x)))) x)
(copysign.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) x))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (/.f32 1/2 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 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 -1 (/.f32 1/2 x)) (+.f32 (fabs.f32 x) (-.f32 1 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (*.f32 x (/.f32 1 x))))) 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 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 x (.f32 x (+.f32 1 (/.f32 1 (*.f32 x x)))))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 1 (.f32 x x))) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 (/.f32 1 x) x)) (.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (.f32 (/.f32 2 x) (/.f32 1/2 x))) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 x (.f32 x (.f32 x x)))) (.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (.f32 (+.f32 1 (/.f32 (+.f32 x x) (.f32 x (.f32 x (+.f32 x x))))) (.f32 x 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:

45.0ms	x
20.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)

Results

Error	Segments	Branch
13.1b	3	`x`
13.1b	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)`

Compiler

Compiled 448 to 260 computations (42% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.527757167816162	8.523093223571777
0.0ms	-inf	-44.35713195800781

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes97.0ms (0.8%)

Counts

28 → 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 (neg.f32 (log.f32 (/.f32 -1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1 x))) x)
(copysign.f32 (neg.f32 (/.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 -1 (-.f32 1 (/.f32 -1/2 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 -1 (.f32 x x)) x))) x)
(copysign.f32 (neg.f32 (log.f32 (+.f32 (-.f32 1 (/.f32 1 x)) -1))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (/.f32 (.f32 x x) 1/2)) -2))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (.f32 (*.f32 x 4) (/.f32 (/.f32 1/8 x) x)) -2))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (.f32 x (.f32 (.f32 x (.f32 x x)) (/.f32 2 (.f32 x x))))) -2))) 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 (log.f32 1/2) (neg.f32 (log.f32 x))) x)
(copysign.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) 2) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.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 (/.f32 x (fabs.f32 x)) (log.f32 (/.f32 -1 x)))) x)
(copysign.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) x))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (/.f32 1/2 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 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 -1 (/.f32 1/2 x)) (+.f32 (fabs.f32 x) (-.f32 1 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (*.f32 x (/.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) (sqrt.f32 (*.f32 x (/.f32 1 x))))) x)

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

Calls

1 calls:

92.0ms

Results

Error	Segments	Branch
13.7b	3	`x`

Compiler

Compiled 292 to 176 computations (39.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.3392038345336914	2.24057674407959
0.0ms	-1.2544690370559692	-0.15459343791007996

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes47.0ms (0.4%)

Counts

27 → 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 (neg.f32 (log.f32 (/.f32 -1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1 x))) x)
(copysign.f32 (neg.f32 (/.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 -1 (-.f32 1 (/.f32 -1/2 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 -1 (.f32 x x)) x))) x)
(copysign.f32 (neg.f32 (log.f32 (+.f32 (-.f32 1 (/.f32 1 x)) -1))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (/.f32 (.f32 x x) 1/2)) -2))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (.f32 (*.f32 x 4) (/.f32 (/.f32 1/8 x) x)) -2))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (.f32 x (.f32 (.f32 x (.f32 x x)) (/.f32 2 (.f32 x x))))) -2))) 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 (log.f32 1/2) (neg.f32 (log.f32 x))) x)
(copysign.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) 2) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.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 (/.f32 x (fabs.f32 x)) (log.f32 (/.f32 -1 x)))) x)
(copysign.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) x))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (neg.f32 (/.f32 1/2 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 (+.f32 (fabs.f32 x) (neg.f32 x)) (*.f32 1/2 (/.f32 1 x)))) x)
(copysign.f32 (log.f32 (+.f32 (-.f32 -1 (/.f32 1/2 x)) (+.f32 (fabs.f32 x) (-.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 (fabs.f32 x) (+.f32 x (/.f32 1/2 x)))) x)

Calls

1 calls:

41.0ms

Results

Error	Segments	Branch
13.8b	3	`x`

Compiler

Compiled 280 to 169 computations (39.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.3392038345336914	2.24057674407959
0.0ms	-1.2544690370559692	-0.15459343791007996

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes125.0ms (1%)

Counts

19 → 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 (neg.f32 (log.f32 (/.f32 -1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1 x))) x)
(copysign.f32 (neg.f32 (/.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 -1 (-.f32 1 (/.f32 -1/2 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 -1 (.f32 x x)) x))) x)
(copysign.f32 (neg.f32 (log.f32 (+.f32 (-.f32 1 (/.f32 1 x)) -1))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (/.f32 (.f32 x x) 1/2)) -2))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (.f32 (*.f32 x 4) (/.f32 (/.f32 1/8 x) x)) -2))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (.f32 x (.f32 (.f32 x (.f32 x x)) (/.f32 2 (.f32 x x))))) -2))) 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 (log.f32 1/2) (neg.f32 (log.f32 x))) x)
(copysign.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) 2) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.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 (fabs.f32 x) (+.f32 x (/.f32 1/2 x)))) x)

Calls

1 calls:

121.0ms

Results

Error	Segments	Branch
13.9b	3	`x`

Compiler

Compiled 176 to 111 computations (36.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.3392038345336914	2.24057674407959
0.0ms	-1.2544690370559692	-0.15459343791007996

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes28.0ms (0.2%)

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 (neg.f32 (log.f32 (/.f32 -1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1 x))) x)
(copysign.f32 (neg.f32 (/.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 -1 (-.f32 1 (/.f32 -1/2 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 -1 (.f32 x x)) x))) x)
(copysign.f32 (neg.f32 (log.f32 (+.f32 (-.f32 1 (/.f32 1 x)) -1))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (/.f32 (.f32 x x) 1/2)) -2))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (.f32 (*.f32 x 4) (/.f32 (/.f32 1/8 x) x)) -2))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (.f32 x (.f32 (.f32 x (.f32 x x)) (/.f32 2 (.f32 x x))))) -2))) 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 (log.f32 1/2) (neg.f32 (log.f32 x))) x)
(copysign.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) 2) 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:

24.0ms

Results

Error	Segments	Branch
13.9b	3	`x`

Compiler

Compiled 165 to 105 computations (36.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.3392038345336914	2.24057674407959
0.0ms	-1.2544690370559692	-0.15459343791007996

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes252.0ms (2%)

Counts

14 → 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 (neg.f32 (log.f32 (/.f32 -1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (/.f32 1 x))) x)
(copysign.f32 (neg.f32 (/.f32 x (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 -1 (-.f32 1 (/.f32 -1/2 x)))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 -1 (.f32 x x)) x))) x)
(copysign.f32 (neg.f32 (log.f32 (+.f32 (-.f32 1 (/.f32 1 x)) -1))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (/.f32 (.f32 x x) 1/2)) -2))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (.f32 (*.f32 x 4) (/.f32 (/.f32 1/8 x) x)) -2))) x)
(copysign.f32 (neg.f32 (log.f32 (.f32 (/.f32 x (.f32 x (.f32 (.f32 x (.f32 x x)) (/.f32 2 (.f32 x x))))) -2))) 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:

249.0ms

Results

Error	Segments	Branch
15.8b	2	`x`

Compiler

Compiled 133 to 86 computations (35.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	-2.959348416946551e-38	4.8793688969268e-39

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes8.0ms (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:

7.0ms

Results

Error	Segments	Branch
20.0b	2	`x`

Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	-2.959348416946551e-38	4.8793688969268e-39

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes7.0ms (0.1%)

Accuracy

Total -8.2b remaining (-34.7%)

Threshold costs -8.2b (-34.7%)

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:

6.0ms

Results

Error	Segments	Branch
23.8b	2	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	-2.959348416946551e-38	4.8793688969268e-39

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	848

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) 8) (copysign.f32 (/.f32 (log.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))) 2)) 2) x) (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) -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) 8) (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 -1/2 x) x))) x) (if (<=.f32 x 1/2) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (*.f32 x (/.f32 1 x))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.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 1/2) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 1/2 x)))) x)))
(if (<=.f32 x -1) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 1/2) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 1/2 x)))) x)))
(if (<=.f32 x -1) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 1/2) (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) 8) (copysign.f32 (/.f32 (log.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 1 (*.f32 x x)))) 2)) 2) x) (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) -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) 8) (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 -1/2 x) x))) x) (if (<=.f32 x 1/2) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (*.f32 x (/.f32 1 x))))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.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 1/2) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 1/2 x)))) x)))
(if (<=.f32 x -1) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 1/2) (copysign.f32 (log.f32 (-.f32 (fabs.f32 x) -1)) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (+.f32 x (/.f32 1/2 x)))) x)))
(if (<=.f32 x -1) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 1/2) (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 307 to 201 computations (34.5% saved)

soundness234.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

1826×	`rational.json-simplify-35`
1814×	`rational.json-simplify-35`
1026×	`rational.json-simplify-49`
868×	`rational.json-simplify-46`
864×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	218	3186
1	464	3132
2	948	3132
3	2330	3098
4	5025	3086
5	7303	3086
0	315	4303
1	781	4231
2	2360	4051
3	7191	4029

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 132 to 88 computations (33.3% saved)

end123.0ms (1%)

Compiler: Compiled 298 to 182 computations (38.9% saved)