Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample2.1s (20.8%)

Results

2.1s

8256×

body

256

valid

Bogosity

preprocess10.0ms (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
(acosh.f32 x)

Outputs
(acosh.f32 x)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify130.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1814×	`rational.json-simplify-35`
1350×	`rational.json-simplify-53`
1016×	`rational.json-simplify-39`
864×	`rational.json-simplify-59`
750×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	14	27
2	19	27
3	37	27
4	185	27
5	1957	27
6	5904	27
7	7843	27

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

16.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.0b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f32 (*.f32 x x) 1)
✓	0.0b	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
✓	0.1b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	13.8b	(sqrt.f32 (-.f32 (*.f32 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`bool.json-1`
1798×	`bool.json-2`
1770×	`rational.json-1`
1370×	`bool.json-3`
894×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	80
1	106	80
2	303	80
3	651	80
4	1934	80
5	5945	80

Stop Event

1×	node limit

Counts

4 → 55

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (+.f32 (.f32 x x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (+.f32 (.f32 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (sqrt.f32 (+.f32 (.f32 x x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sqrt.f32 (+.f32 (.f32 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 (.f32 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 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 not (not (sqrt.f32 (+.f32 (.f32 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f32 (+.f32 (.f32 x x) -1)) (sqrt.f32 (+.f32 (.f32 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f32 (+.f32 (.f32 x x) -1)) (sqrt.f32 (+.f32 (.f32 x x) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 (+.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 x (sqrt.f32 (+.f32 (.f32 x x) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 (+.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 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 x (sqrt.f32 (+.f32 (.f32 x x) -1)))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))) (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))) (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) 4)) (.f32 2 (.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))) (+.f32 x (sqrt.f32 (+.f32 (.f32 x x) -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (.f32 x x) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 (.f32 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 (.f32 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (.f32 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (+.f32 (.f32 x x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (.f32 x x) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (+.f32 (.f32 x x) -1) 2))))) (#(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 (.f32 x x) -1) 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 not (not (+.f32 (.f32 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 (.f32 x x) -1) (+.f32 (.f32 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 (.f32 x x) -1) (+.f32 (*.f32 x x) -1))))))

simplify149.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

946×	`rational.json-simplify-19`
860×	`rational.json-simplify-41`
834×	`rational.json-simplify-2`
826×	`rational.json-simplify-35`
706×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	196	2847
1	393	2831
2	756	2831
3	1643	2831
4	3004	2831
5	4955	2831
6	6376	2831

Stop Event

1×	node limit

Counts

103 → 170

Calls

Call 1

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

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

eval66.0ms (0.6%)

Compiler: Compiled 3096 to 2508 computations (19% saved)

prune32.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	164	6	170
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	164	7	171

Error

0.0b

Counts

171 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6))))))
	1.3b	(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
▶	31.0b	(log.f32 (/.f32 1/2 x))
▶	0.7b	(log.f32 (-.f32 (+.f32 x x) (*.f32 1/2 (/.f32 1 x))))
▶	0.7b	(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))
✓	16.0b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
▶	1.1b	(log.f32 (+.f32 x x))

Compiler

Compiled 158 to 127 computations (19.6% saved)

localize139.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 1 (pow.f32 x 4))
✓	0.3b	(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
✓	0.4b	(/.f32 1 (pow.f32 x 6))
✓	1.0b	(/.f32 1 (pow.f32 x 2))

Compiler

Compiled 146 to 123 computations (15.8% saved)

series52.0ms (0.5%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
36.0ms	x	@	0	(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
9.0ms	x	@	-inf	(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
5.0ms	x	@	inf	(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
0.0ms	x	@	0	(/.f32 1 (pow.f32 x 6))
0.0ms	x	@	0	(/.f32 1 (pow.f32 x 4))

rewrite92.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1998×	`bool.json-1`
1998×	`bool.json-2`
1478×	`bool.json-3`
878×	`rational.json-simplify-35`
836×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	196	64
2	518	64
3	1078	64
4	2477	64
5	6181	64

Stop Event

1×	node limit

Counts

4 → 44

Calls

Call 1

Inputs
(/.f32 1 (pow.f32 x 2))
(/.f32 1 (pow.f32 x 6))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(/.f32 1 (pow.f32 x 4))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 (pow.f32 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1 (pow.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (pow.f32 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 1 (pow.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 1/2 (pow.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (/.f32 1/2 (pow.f32 x 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (pow.f32 x 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (/.f32 2 (pow.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 (pow.f32 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f32 1 (pow.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f32 1 (pow.f32 x 2)) (/.f32 1 (pow.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f32 1 (pow.f32 x 2)) (/.f32 1 (pow.f32 x 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 (pow.f32 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1 (pow.f32 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (pow.f32 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 1 (pow.f32 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 1/2 (pow.f32 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (/.f32 1/2 (pow.f32 x 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (pow.f32 x 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (/.f32 2 (pow.f32 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 (pow.f32 x 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f32 1 (pow.f32 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f32 1 (pow.f32 x 6)) (/.f32 1 (pow.f32 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f32 1 (pow.f32 x 6)) (/.f32 1 (pow.f32 x 6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log.f32 2) (-.f32 1 (log.f32 (/.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (/.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 4)) (.f32 2 (.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 (pow.f32 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1 (pow.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (pow.f32 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 1 (pow.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 1/2 (pow.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (/.f32 1/2 (pow.f32 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (pow.f32 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (/.f32 2 (pow.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 (pow.f32 x 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f32 1 (pow.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f32 1 (pow.f32 x 4)) (/.f32 1 (pow.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f32 1 (pow.f32 x 4)) (/.f32 1 (pow.f32 x 4)))))))

simplify544.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

3738×	`rational.json-simplify-48`
2868×	`rational.json-simplify-1`
2010×	`rational.json-simplify-35`
1240×	`rational.json-simplify-41`
936×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	94	1122
1	161	1114
2	256	1114
3	507	1114
4	1063	1114
5	2592	1114
6	2906	1114
7	3019	1114
8	3103	1114
9	3170	1114
10	3240	1114
11	3942	1114
12	4041	1114
13	4253	1114
14	4822	1114
15	4923	1114
16	4973	1114
17	5023	1114
18	5073	1114
19	5123	1114
20	6250	1114
21	6804	1114
22	6991	1114
23	7052	1114
24	7104	1114
25	7646	1114
26	7803	1114
27	7803	1114

Stop Event

1×	node limit

Counts

56 → 52

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 3 computations (66.7% saved)

series42.0ms (0.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	(log.f32 (+.f32 x x))
10.0ms	x	@	0	(log.f32 (+.f32 x x))
6.0ms	x	@	inf	(log.f32 (+.f32 x x))

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`bool.json-1`
1600×	`bool.json-2`
1546×	`rational.json-1`
1546×	`rational.json-2`
1546×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	59	11
2	174	11
3	360	11
4	733	11
5	1568	11
6	3664	11
7	6419	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (+.f32 x x)) 1/2) (*.f32 (log.f32 (+.f32 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (log.f32 (+.f32 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (log.f32 (+.f32 x x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 x x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 (+.f32 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 x x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 x x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (log.f32 (+.f32 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 x x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 x x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 x x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log.f32 (+.f32 x x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (log.f32 (+.f32 x x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (log.f32 (+.f32 x x)) 8))) (*.f32 2 (*.f32 2 (*.f32 (log.f32 (+.f32 x x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)))))))

simplify812.0ms (8%)

Algorithm

1×	egg-herbie

Rules

9080×	`rational.json-simplify-41`
2088×	`rational.json-simplify-35`
1772×	`rational.json-simplify-2`
974×	`rational.json-simplify-49`
918×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	518
1	113	502
2	309	502
3	726	502
4	1122	502
5	2275	502
6	2945	502
7	3012	502
8	3057	502
9	3094	502
10	3129	502
11	3164	502
12	3220	502
13	3255	502
14	3290	502
15	3325	502
16	3360	502
17	3395	502
18	3430	502
19	4134	502
20	4516	502
21	4557	502
22	4596	502
23	4634	502
24	4672	502
25	4710	502
26	4748	502
27	4786	502
28	4824	502
29	4862	502
30	4900	502
31	4938	502
32	4976	502
33	5014	502
34	5052	502
35	5052	502
36	5090	502

Stop Event

1×	node limit

Counts

34 → 28

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 10 to 7 computations (30% saved)

series28.0ms (0.3%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(log.f32 (/.f32 1/2 x))
9.0ms	x	@	0	(log.f32 (/.f32 1/2 x))
5.0ms	x	@	inf	(log.f32 (/.f32 1/2 x))
0.0ms	x	@	0	(/.f32 1/2 x)
0.0ms	x	@	inf	(/.f32 1/2 x)

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1964×	`bool.json-1`
1964×	`bool.json-2`
890×	`rational.json-simplify-35`
756×	`rational.json-1`
756×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	71	18
2	210	18
3	482	18
4	1027	18
5	2538	18
6	6878	18

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

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 1/4 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 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 (/.f32 1/4 (*.f32 x 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 1/8 x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 x) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/8 (*.f32 x x)) (*.f32 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f32 1/2 x) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f32 1/2 x) (/.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 0 (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (log.f32 (/.f32 1/2 x))) (*.f32 1/2 (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (/.f32 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 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 (*.f32 1/2 (log.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 (*.f32 1/2 (log.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 (*.f32 2 (*.f32 (log.f32 (/.f32 1/2 x)) 8)) (*.f32 2 (*.f32 (log.f32 (/.f32 1/2 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f32 (/.f32 1/2 x)) (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f32 (/.f32 1/2 x)) (log.f32 (/.f32 1/2 x)))))))

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1232×	`rational.json-simplify-61`
1070×	`rational.json-simplify-35`
966×	`rational.json-simplify-51`
962×	`rational.json-simplify-1`
592×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	800
1	157	792
2	360	792
3	858	792
4	1796	792
5	5747	792
6	7351	792

Stop Event

1×	node limit

Counts

54 → 51

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

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

localize39.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

series2.0ms (0%)

Counts

3 → 27

Calls

9 calls:

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

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1254×	`rational.json-simplify-35`
1176×	`bool.json-1`
1176×	`bool.json-2`
1136×	`rational.json-1`
1136×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	116	73
2	320	73
3	660	55
4	1394	55
5	3631	55

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))) (*.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))) (*.f32 2 (*.f32 2 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 (+.f32 x x) (*.f32 (+.f32 x (/.f32 -1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (+.f32 x (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (+.f32 x x) (*.f32 (+.f32 x (/.f32 -1/2 x)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))) (*.f32 2 (*.f32 2 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f32 x (+.f32 x (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 x (+.f32 x (/.f32 -1/2 x))) (+.f32 x (+.f32 x (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 x (+.f32 x (/.f32 -1/2 x))) (+.f32 x (+.f32 x (/.f32 -1/2 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 x (/.f32 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 x (/.f32 -1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 x (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 1 (+.f32 x (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1/2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (+.f32 x (/.f32 -1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (+.f32 x (/.f32 -1/2 x))) (*.f32 1/2 (+.f32 x (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 x (/.f32 -1/2 x)) 2))))) (#(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 1/2 (+.f32 x (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 x (/.f32 -1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (/.f32 1/2 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (-.f32 (/.f32 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (*.f32 2 (-.f32 (/.f32 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 x (/.f32 -1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (+.f32 x (/.f32 -1/2 x))) 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 (+.f32 x (/.f32 -1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x (/.f32 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (/.f32 1/2 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x)) -2)))) (#(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 2 (*.f32 2 (*.f32 (+.f32 x (/.f32 -1/2 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (-.f32 (/.f32 1/2 x) x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 x (/.f32 -1/2 x)) 4))) (*.f32 2 (*.f32 2 (*.f32 (+.f32 x (/.f32 -1/2 x)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x))) (neg.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 (/.f32 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f32 x (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 x (/.f32 -1/2 x)) (+.f32 x (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 x (/.f32 -1/2 x)) (+.f32 x (/.f32 -1/2 x)))))))

simplify185.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1566×	`rational.json-simplify-35`
1080×	`rational.json-simplify-2`
902×	`rational.json-simplify-61`
846×	`rational.json-simplify-1`
794×	`rational.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	182	2240
1	354	2216
2	845	2216
3	1805	2216
4	2939	2216
5	3653	2216
6	4240	2216
7	5144	2216
8	6075	2216
9	7479	2216

Stop Event

1×	node limit

Counts

102 → 125

Calls

Call 1

Inputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(/.f32 -1/2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(/.f32 -1/2 x)
x
x
(+.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 0)
(+.f32 0 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))
(+.f32 (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))) (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))))
(-.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 0)
(.f32 1/2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2))
(*.f32 1 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))
(*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 1)
(.f32 2 (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))))
(.f32 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2) 1/2)
(*.f32 4 (/.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))
(.f32 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4) 1/4)
(.f32 1/4 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))
(.f32 (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))) 2)
(*.f32 (/.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4) 4)
(/.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 1)
(/.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2) 2)
(/.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4) 4)
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))) (.f32 2 (.f32 2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4)))) 32)
(-.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 0)
(.f32 1/2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2))
(.f32 1/2 (+.f32 (+.f32 x x) (.f32 (+.f32 x (/.f32 -1/2 x)) 2)))
(*.f32 1 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 1)
(.f32 2 (.f32 1/2 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))
(*.f32 4 (/.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))
(.f32 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2) 1/2)
(.f32 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4) 1/4)
(.f32 1/4 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))
(.f32 (.f32 1/2 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2)
(*.f32 (/.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4) 4)
(.f32 (+.f32 (+.f32 x x) (.f32 (+.f32 x (/.f32 -1/2 x)) 2)) 1/2)
(/.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 1)
(/.f32 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2) 2)
(/.f32 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))) (.f32 2 (.f32 2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4)))) 32)
(+.f32 x (/.f32 -1/2 x))
(+.f32 (+.f32 x (/.f32 -1/2 x)) 0)
(+.f32 0 (+.f32 x (/.f32 -1/2 x)))
(+.f32 -1 (+.f32 1 (+.f32 x (/.f32 -1/2 x))))
(+.f32 (/.f32 -1/2 x) x)
(+.f32 (+.f32 1 (+.f32 x (/.f32 -1/2 x))) -1)
(+.f32 (.f32 1/2 (+.f32 x (/.f32 -1/2 x))) (.f32 1/2 (+.f32 x (/.f32 -1/2 x))))
(+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (neg.f32 x)))
(.f32 1/2 (.f32 (+.f32 x (/.f32 -1/2 x)) 2))
(*.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 1/2 (+.f32 x (/.f32 -1/2 x))))
(.f32 (.f32 (+.f32 x (/.f32 -1/2 x)) 2) 1/2)
(*.f32 4 (/.f32 (+.f32 x (/.f32 -1/2 x)) 4))
(*.f32 (-.f32 (/.f32 1/2 x) x) -1)
(*.f32 -1 (-.f32 (/.f32 1/2 x) x))
(.f32 (.f32 (+.f32 x (/.f32 -1/2 x)) 4) 1/4)
(.f32 (.f32 2 (-.f32 (/.f32 1/2 x) x)) -1/2)
(.f32 -1/2 (.f32 2 (-.f32 (/.f32 1/2 x) x)))
(.f32 1/4 (.f32 (+.f32 x (/.f32 -1/2 x)) 4))
(.f32 (.f32 1/2 (+.f32 x (/.f32 -1/2 x))) 2)
(*.f32 (-.f32 (+.f32 x x) (/.f32 1 x)) 1/2)
(*.f32 (/.f32 (+.f32 x (/.f32 -1/2 x)) 4) 4)
(/.f32 (+.f32 x (/.f32 -1/2 x)) 1)
(/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) 2) 2)
(/.f32 (-.f32 (/.f32 1/2 x) x) -1)
(/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) 4) 4)
(/.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x)) -2)
(/.f32 (.f32 2 (.f32 (+.f32 x (/.f32 -1/2 x)) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (*.f32 (+.f32 x (/.f32 -1/2 x)) 4))) 16)
(/.f32 (.f32 2 (.f32 2 (-.f32 (/.f32 1/2 x) x))) -4)
(/.f32 (neg.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x))) 2)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (+.f32 x (/.f32 -1/2 x)) 4))) (.f32 2 (.f32 2 (.f32 (+.f32 x (/.f32 -1/2 x)) 4)))) 32)
(/.f32 (+.f32 (neg.f32 (.f32 2 (-.f32 (/.f32 1/2 x) x))) (neg.f32 (.f32 2 (-.f32 (/.f32 1/2 x) x)))) 4)
(neg.f32 (-.f32 (/.f32 1/2 x) x))

Outputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -1 (log.f32 x)) (.f32 -4 (pow.f32 x 2))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (*.f32 -4 (pow.f32 x 2))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -1 (log.f32 x)) (*.f32 -4 (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (neg.f32 (log.f32 x)) (.f32 -8 (pow.f32 x 4)))))
(+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (log.f32 -1/2) (.f32 -8 (pow.f32 x 4)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -1 (log.f32 x)) (.f32 -64/3 (pow.f32 x 6)))) (log.f32 -1/2)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (*.f32 -8 (pow.f32 x 4))))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (neg.f32 (log.f32 x)) (*.f32 -64/3 (pow.f32 x 6))))))
(+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -64/3 (pow.f32 x 6))))))
(+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (*.f32 -64/3 (pow.f32 x 6))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (log.f32 2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/32 (/.f32 1 (pow.f32 x 4)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/192 (/.f32 1 (pow.f32 x 6))))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (log.f32 2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(+.f32 (log.f32 2) (-.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 -2) (-.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 -2) (-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 -2) (-.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 -2) (-.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(/.f32 -1/2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(*.f32 2 x)
(*.f32 x 2)
(+.f32 x x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(*.f32 2 x)
(*.f32 x 2)
(+.f32 x x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(/.f32 -1/2 x)
x
x
(+.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 0)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(+.f32 0 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(+.f32 (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))) (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(-.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 0)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 1/2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 1 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 1)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 2 (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2) 1/2)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 4 (/.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4) 1/4)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 1/4 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))) 2)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 (/.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4) 4)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 1)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2) 2)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4) 4)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4)) 8)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (.f32 2 (.f32 2 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))) 16)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))) (.f32 2 (.f32 2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4)))) 32)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(-.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 0)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 1/2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 1/2 (+.f32 (+.f32 x x) (.f32 (+.f32 x (/.f32 -1/2 x)) 2)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(*.f32 1 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 1)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 2 (.f32 1/2 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(*.f32 4 (/.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2) 1/2)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4) 1/4)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 1/4 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 (.f32 1/2 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(*.f32 (/.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4) 4)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 (+.f32 (+.f32 x x) (.f32 (+.f32 x (/.f32 -1/2 x)) 2)) 1/2)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 1)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2) 2)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4) 4)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (.f32 2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4)) 8)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (.f32 2 (.f32 2 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))) 16)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))) (.f32 2 (.f32 2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4)))) 32)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(+.f32 (+.f32 x (/.f32 -1/2 x)) 0)
(+.f32 x (/.f32 -1/2 x))
(+.f32 0 (+.f32 x (/.f32 -1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(+.f32 -1 (+.f32 1 (+.f32 x (/.f32 -1/2 x))))
(+.f32 x (/.f32 -1/2 x))
(+.f32 (/.f32 -1/2 x) x)
(+.f32 x (/.f32 -1/2 x))
(+.f32 (+.f32 1 (+.f32 x (/.f32 -1/2 x))) -1)
(+.f32 x (/.f32 -1/2 x))
(+.f32 (.f32 1/2 (+.f32 x (/.f32 -1/2 x))) (.f32 1/2 (+.f32 x (/.f32 -1/2 x))))
(+.f32 x (/.f32 -1/2 x))
(+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (neg.f32 x)))
(+.f32 x (/.f32 -1/2 x))
(.f32 1/2 (.f32 (+.f32 x (/.f32 -1/2 x)) 2))
(+.f32 x (/.f32 -1/2 x))
(*.f32 1/2 (-.f32 (+.f32 x x) (/.f32 1 x)))
(+.f32 x (/.f32 -1/2 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 1/2 (+.f32 x (/.f32 -1/2 x))))
(+.f32 x (/.f32 -1/2 x))
(.f32 (.f32 (+.f32 x (/.f32 -1/2 x)) 2) 1/2)
(+.f32 x (/.f32 -1/2 x))
(*.f32 4 (/.f32 (+.f32 x (/.f32 -1/2 x)) 4))
(+.f32 x (/.f32 -1/2 x))
(*.f32 (-.f32 (/.f32 1/2 x) x) -1)
(+.f32 x (/.f32 -1/2 x))
(*.f32 -1 (-.f32 (/.f32 1/2 x) x))
(+.f32 x (/.f32 -1/2 x))
(.f32 (.f32 (+.f32 x (/.f32 -1/2 x)) 4) 1/4)
(+.f32 x (/.f32 -1/2 x))
(.f32 (.f32 2 (-.f32 (/.f32 1/2 x) x)) -1/2)
(+.f32 x (/.f32 -1/2 x))
(.f32 -1/2 (.f32 2 (-.f32 (/.f32 1/2 x) x)))
(+.f32 x (/.f32 -1/2 x))
(.f32 1/4 (.f32 (+.f32 x (/.f32 -1/2 x)) 4))
(+.f32 x (/.f32 -1/2 x))
(.f32 (.f32 1/2 (+.f32 x (/.f32 -1/2 x))) 2)
(+.f32 x (/.f32 -1/2 x))
(*.f32 (-.f32 (+.f32 x x) (/.f32 1 x)) 1/2)
(+.f32 x (/.f32 -1/2 x))
(*.f32 (/.f32 (+.f32 x (/.f32 -1/2 x)) 4) 4)
(+.f32 x (/.f32 -1/2 x))
(/.f32 (+.f32 x (/.f32 -1/2 x)) 1)
(+.f32 x (/.f32 -1/2 x))
(/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) 2) 2)
(+.f32 x (/.f32 -1/2 x))
(/.f32 (-.f32 (/.f32 1/2 x) x) -1)
(+.f32 x (/.f32 -1/2 x))
(/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) 4) 4)
(+.f32 x (/.f32 -1/2 x))
(/.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x)) -2)
(+.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 2 (.f32 2 (*.f32 (+.f32 x (/.f32 -1/2 x)) 4))) 16)
(+.f32 x (/.f32 -1/2 x))
(/.f32 (.f32 2 (.f32 2 (-.f32 (/.f32 1/2 x) x))) -4)
(+.f32 x (/.f32 -1/2 x))
(/.f32 (neg.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x))) 2)
(+.f32 x (/.f32 -1/2 x))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (+.f32 x (/.f32 -1/2 x)) 4))) (.f32 2 (.f32 2 (.f32 (+.f32 x (/.f32 -1/2 x)) 4)))) 32)
(+.f32 x (/.f32 -1/2 x))
(/.f32 (+.f32 (neg.f32 (.f32 2 (-.f32 (/.f32 1/2 x) x))) (neg.f32 (.f32 2 (-.f32 (/.f32 1/2 x) x)))) 4)
(+.f32 x (/.f32 -1/2 x))
(neg.f32 (-.f32 (/.f32 1/2 x) x))
(+.f32 x (/.f32 -1/2 x))

localize34.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 21 computations (38.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`rational.json-simplify-35`
1252×	`bool.json-1`
1252×	`bool.json-2`
1210×	`rational.json-1`
1210×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	116	54
2	325	54
3	682	42
4	1462	42
5	3898	42

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)))) (*.f32 1/2 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4))) (*.f32 2 (*.f32 2 (*.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 x (-.f32 x (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 x x) (neg.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 (+.f32 x x) (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 x (/.f32 1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 1 (-.f32 (+.f32 x x) (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 x (-.f32 x (+.f32 (/.f32 1/2 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 1/2 x)) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (-.f32 (+.f32 x x) (/.f32 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (-.f32 (+.f32 x x) (/.f32 1/2 x))) (*.f32 1/2 (-.f32 (+.f32 x x) (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 x (-.f32 x (+.f32 (/.f32 1/2 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (*.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (-.f32 (/.f32 1/2 x) (+.f32 x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 (+.f32 x x) (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (-.f32 (+.f32 x x) (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 (/.f32 1/2 x) (+.f32 x x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (/.f32 1/2 x) (+.f32 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (-.f32 (/.f32 1/2 x) (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (/.f32 1/2 x) (+.f32 x x)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (/.f32 1/2 x) (+.f32 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) (+.f32 x x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (-.f32 (/.f32 1/2 x) (+.f32 x x)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) (+.f32 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4))) (*.f32 2 (*.f32 2 (*.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) (+.f32 x x)))) (neg.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) (+.f32 x x))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 (/.f32 1/2 x) (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f32 (+.f32 x x) (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f32 (+.f32 x x) (/.f32 1/2 x)) (-.f32 (+.f32 x x) (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f32 (+.f32 x x) (/.f32 1/2 x)) (-.f32 (+.f32 x x) (/.f32 1/2 x)))))))

simplify153.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1986×	`rational.json-simplify-35`
956×	`rational.json-simplify-2`
904×	`rational.json-simplify-61`
838×	`rational.json-simplify-41`
580×	`rational.json-simplify-42`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	159	2086
1	312	2062
2	677	2062
3	1449	2062
4	3118	2062
5	4083	2062
6	5010	2062
7	5813	2062
8	7817	2062

Stop Event

1×	node limit

Counts

80 → 111

Calls

Call 1

Inputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(/.f32 -1/2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 0)
(+.f32 0 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))))
(+.f32 (.f32 1/2 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)))) (.f32 1/2 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)))))
(-.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 0)
(.f32 1/2 (.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 2))
(*.f32 1 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))))
(*.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 1)
(.f32 2 (.f32 1/2 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)))))
(.f32 (.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 2) 1/2)
(*.f32 4 (/.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4))
(.f32 (.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4) 1/4)
(.f32 (.f32 1/2 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)))) 2)
(.f32 1/4 (.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4))
(*.f32 (/.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4) 4)
(/.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 1)
(/.f32 (*.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 2) 2)
(/.f32 (*.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4) 4)
(/.f32 (.f32 2 (.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (*.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4))) (.f32 2 (.f32 2 (.f32 (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 4)))) 32)
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 (+.f32 x x) (neg.f32 (/.f32 1/2 x)))
(+.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 0)
(+.f32 0 (-.f32 (+.f32 x x) (/.f32 1/2 x)))
(+.f32 (-.f32 x (/.f32 1/2 x)) x)
(+.f32 -1 (+.f32 1 (-.f32 (+.f32 x x) (/.f32 1/2 x))))
(+.f32 -1 (+.f32 x (-.f32 x (+.f32 (/.f32 1/2 x) -1))))
(+.f32 (neg.f32 (/.f32 1/2 x)) (+.f32 x x))
(+.f32 (+.f32 1 (-.f32 (+.f32 x x) (/.f32 1/2 x))) -1)
(+.f32 (.f32 1/2 (-.f32 (+.f32 x x) (/.f32 1/2 x))) (.f32 1/2 (-.f32 (+.f32 x x) (/.f32 1/2 x))))
(+.f32 (+.f32 x (-.f32 x (+.f32 (/.f32 1/2 x) -1))) -1)
(+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (*.f32 x -2)))
(.f32 1/2 (.f32 (-.f32 (/.f32 1/2 x) (+.f32 x x)) -2))
(*.f32 1 (-.f32 (+.f32 x x) (/.f32 1/2 x)))
(*.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 1)
(.f32 2 (.f32 1/2 (-.f32 (+.f32 x x) (/.f32 1/2 x))))
(*.f32 4 (/.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4))
(.f32 (.f32 (-.f32 (/.f32 1/2 x) (+.f32 x x)) -2) 1/2)
(*.f32 (-.f32 (/.f32 1/2 x) (+.f32 x x)) -1)
(*.f32 -1 (-.f32 (/.f32 1/2 x) (+.f32 x x)))
(.f32 (.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4) 1/4)
(.f32 1/4 (.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4))
(.f32 (.f32 1/2 (-.f32 (+.f32 x x) (/.f32 1/2 x))) 2)
(*.f32 (/.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4) 4)
(/.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 1)
(/.f32 (*.f32 (-.f32 (/.f32 1/2 x) (+.f32 x x)) -2) 2)
(/.f32 (-.f32 (/.f32 1/2 x) (+.f32 x x)) -1)
(/.f32 (*.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4) 4)
(/.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) (+.f32 x x))) -2)
(/.f32 (.f32 2 (.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (*.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4))) 16)
(/.f32 (.f32 2 (.f32 2 (-.f32 (/.f32 1/2 x) (+.f32 x x)))) -4)
(/.f32 (neg.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) (+.f32 x x)))) 2)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4))) (.f32 2 (.f32 2 (.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4)))) 32)
(/.f32 (+.f32 (neg.f32 (.f32 2 (-.f32 (/.f32 1/2 x) (+.f32 x x)))) (neg.f32 (.f32 2 (-.f32 (/.f32 1/2 x) (+.f32 x x))))) 4)
(neg.f32 (-.f32 (/.f32 1/2 x) (+.f32 x x)))

Outputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -1 (log.f32 x)) (.f32 -4 (pow.f32 x 2))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (*.f32 -4 (pow.f32 x 2))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -1 (log.f32 x)) (*.f32 -4 (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -8 (pow.f32 x 4)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (neg.f32 (log.f32 x)) (.f32 -8 (pow.f32 x 4)))))
(+.f32 (+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -8 (pow.f32 x 4))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -1 (log.f32 x)) (.f32 -64/3 (pow.f32 x 6)))) (log.f32 -1/2)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -64/3 (pow.f32 x 6))))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (+.f32 (.f32 -8 (pow.f32 x 4)) (.f32 -64/3 (pow.f32 x 6))) (*.f32 -4 (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 -64/3 (pow.f32 x 6))) (+.f32 (.f32 -4 (pow.f32 x 2)) (*.f32 -8 (pow.f32 x 4)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))))
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(+.f32 (+.f32 x x) (/.f32 -1/2 x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (-.f32 (/.f32 1/2 x) (+.f32 x x)) -1)
(-.f32 (+.f32 x x) (/.f32 1/2 x))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 (+.f32 x x) (/.f32 -1/2 x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (*.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4) 4)
(-.f32 (+.f32 x x) (/.f32 1/2 x))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 (+.f32 x x) (/.f32 -1/2 x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) (+.f32 x x))) -2)
(-.f32 (+.f32 x x) (/.f32 1/2 x))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 (+.f32 x x) (/.f32 -1/2 x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (.f32 2 (.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4)) 8)
(-.f32 (+.f32 x x) (/.f32 1/2 x))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 (+.f32 x x) (/.f32 -1/2 x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (.f32 2 (.f32 2 (*.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4))) 16)
(-.f32 (+.f32 x x) (/.f32 1/2 x))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 (+.f32 x x) (/.f32 -1/2 x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (.f32 2 (.f32 2 (-.f32 (/.f32 1/2 x) (+.f32 x x)))) -4)
(-.f32 (+.f32 x x) (/.f32 1/2 x))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 (+.f32 x x) (/.f32 -1/2 x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (neg.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) (+.f32 x x)))) 2)
(-.f32 (+.f32 x x) (/.f32 1/2 x))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 (+.f32 x x) (/.f32 -1/2 x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4))) (.f32 2 (.f32 2 (.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)) 4)))) 32)
(-.f32 (+.f32 x x) (/.f32 1/2 x))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 (+.f32 x x) (/.f32 -1/2 x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (+.f32 (neg.f32 (.f32 2 (-.f32 (/.f32 1/2 x) (+.f32 x x)))) (neg.f32 (.f32 2 (-.f32 (/.f32 1/2 x) (+.f32 x x))))) 4)
(-.f32 (+.f32 x x) (/.f32 1/2 x))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 (+.f32 x x) (/.f32 -1/2 x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(neg.f32 (-.f32 (/.f32 1/2 x) (+.f32 x x)))
(-.f32 (+.f32 x x) (/.f32 1/2 x))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 (+.f32 x x) (/.f32 -1/2 x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))

eval118.0ms (1.2%)

Compiler: Compiled 5932 to 4713 computations (20.5% saved)

prune62.0ms (0.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	362	5	367
Fresh	1	0	1
Picked	1	0	1
Done	2	3	5
Total	366	8	374

Error

0.0b

Counts

374 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(-.f32 (-.f32 (log.f32 2) (neg.f32 (log.f32 x))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6))))))
▶	1.3b	(+.f32 (log.f32 2) (log.f32 x))
✓	31.0b	(log.f32 (/.f32 1/2 x))
▶	0.7b	(log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)))
▶	0.7b	(log.f32 (+.f32 (-.f32 x (/.f32 1/2 x)) x))
▶	0.7b	(log.f32 (+.f32 x (+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (neg.f32 x)))))
✓	16.0b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	1.1b	(log.f32 (+.f32 x x))

Compiler

Compiled 158 to 124 computations (21.5% saved)

localize116.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 1 (pow.f32 x 4))
✓	0.3b	(-.f32 (log.f32 2) (neg.f32 (log.f32 x)))
	0.4b	(/.f32 1 (pow.f32 x 6))
	1.0b	(/.f32 1 (pow.f32 x 2))

Compiler

Compiled 135 to 108 computations (20% saved)

series8.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(-.f32 (log.f32 2) (neg.f32 (log.f32 x)))
0.0ms	x	@	0	(-.f32 (log.f32 2) (neg.f32 (log.f32 x)))
0.0ms	x	@	inf	(-.f32 (log.f32 2) (neg.f32 (log.f32 x)))

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`bool.json-1`
1480×	`bool.json-2`
1426×	`rational.json-1`
1426×	`rational.json-2`
1426×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	90	19
2	251	19
3	536	15
4	1148	15
5	2617	15
6	5614	15

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(-.f32 (log.f32 2) (neg.f32 (log.f32 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 2) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 x) (log.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 2) (log.f32 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 (log.f32 2) (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 (log.f32 2) (+.f32 (log.f32 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 x) -1) (+.f32 (log.f32 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 2) (+.f32 (log.f32 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 2) 1) (+.f32 (log.f32 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 1/2) (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 x) 1) (+.f32 (log.f32 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 2) -1) (+.f32 (log.f32 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (+.f32 (*.f32 (log.f32 x) 1/2) (*.f32 (log.f32 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (+.f32 (*.f32 (log.f32 2) 1/2) (*.f32 (log.f32 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (-.f32 (*.f32 (log.f32 2) 1/2) (*.f32 (log.f32 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (log.f32 2) (log.f32 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (log.f32 2) (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (-.f32 (neg.f32 (log.f32 x)) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (+.f32 (log.f32 2) (log.f32 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (neg.f32 (log.f32 x)) (log.f32 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 (log.f32 2) (log.f32 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (+.f32 (log.f32 2) (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 (*.f32 2 (log.f32 x)) (*.f32 2 (log.f32 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 (*.f32 2 (log.f32 2)) (*.f32 2 (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (-.f32 (*.f32 2 (log.f32 2)) (*.f32 (log.f32 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (log.f32 2) (log.f32 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (log.f32 2) (log.f32 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (+.f32 (log.f32 2) (log.f32 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (neg.f32 (log.f32 x)) (log.f32 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (neg.f32 (log.f32 x)) (log.f32 2)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 8)) (*.f32 2 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) -2)) (neg.f32 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (-.f32 (neg.f32 (log.f32 x)) (log.f32 2)) 4) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 (neg.f32 (log.f32 x)) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f32 (log.f32 2) (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 (log.f32 2) (log.f32 x)) (+.f32 (log.f32 2) (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 (log.f32 2) (log.f32 x)) (+.f32 (log.f32 2) (log.f32 x)))))))

simplify213.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2162×	`rational.json-simplify-45`
1720×	`rational.json-simplify-42`
1566×	`rational.json-simplify-35`
1326×	`rational.json-simplify-2`
1042×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	982
1	212	966
2	507	966
3	1585	966
4	2489	966
5	3421	966
6	4294	966
7	4646	966
8	4910	966
9	5045	966
10	5174	966
11	7873	966

Stop Event

1×	node limit

Counts

54 → 46

Calls

Call 1

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

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

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 26 to 16 computations (38.5% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`rational.json-simplify-35`
1006×	`bool.json-1`
1006×	`bool.json-2`
968×	`rational.json-1`
968×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	55
1	90	55
2	251	55
3	575	55
4	1252	55
5	3131	55

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))) (*.f32 1/2 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 8)) (*.f32 2 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (-.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (+.f32 x (-.f32 x (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (+.f32 (*.f32 1/2 (-.f32 x (/.f32 1/2 x))) (*.f32 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (+.f32 (*.f32 x 1/2) (*.f32 1/2 (-.f32 x (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (+.f32 (*.f32 (-.f32 x (/.f32 1/2 x)) 4) (*.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 8)) (*.f32 2 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f32 x (-.f32 x (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 x (-.f32 x (/.f32 1/2 x))) (+.f32 x (-.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 x (-.f32 x (/.f32 1/2 x))) (+.f32 x (-.f32 x (/.f32 1/2 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 x (neg.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 x (/.f32 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 x (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 x (-.f32 1 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 x (-.f32 1 (/.f32 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (-.f32 x (/.f32 1/2 x))) (*.f32 1/2 (-.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (-.f32 1 (/.f32 1/2 (*.f32 x 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 (-.f32 x (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 x (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (-.f32 1/2 (/.f32 1/4 (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (-.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (-.f32 (*.f32 x 1/2) (/.f32 1/4 x)))))) (#(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 (/.f32 1/2 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (-.f32 x (/.f32 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 x (/.f32 1/2 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (-.f32 (/.f32 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (-.f32 x (/.f32 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (-.f32 (*.f32 x 4) (/.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (-.f32 x (/.f32 1/2 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 x (/.f32 1/2 x)) 1)))) (#(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 1/2 x) x) -1)))) (#(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 1/2 x) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 x (/.f32 1/2 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (/.f32 1/2 x) x) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (-.f32 x (/.f32 1/2 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (-.f32 x (/.f32 1/2 x)) 8)) (*.f32 2 (*.f32 (-.f32 x (/.f32 1/2 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x))) (neg.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 (/.f32 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f32 x (/.f32 1/2 x)) (-.f32 x (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f32 x (/.f32 1/2 x)) (-.f32 x (/.f32 1/2 x)))))))

simplify112.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1212×	`rational.json-simplify-35`
1086×	`rational.json-simplify-19`
832×	`rational.json-simplify-61`
828×	`rational.json-simplify-51`
730×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	199	2648
1	389	2508
2	860	2508
3	2092	2508
4	3778	2508
5	6426	2508

Stop Event

1×	node limit

Counts

112 → 145

Calls

Call 1

Inputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(/.f32 -1/2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(/.f32 -1/2 x)
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(+.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 0)
(+.f32 0 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))))
(+.f32 (.f32 1/2 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))) (.f32 1/2 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))))
(-.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 0)
(.f32 1/2 (.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 2))
(*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 1)
(*.f32 1 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))))
(.f32 2 (.f32 1/2 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))))
(.f32 (.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 2) 1/2)
(*.f32 4 (/.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 4))
(.f32 (.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 4) 1/4)
(.f32 1/4 (.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 4))
(.f32 (.f32 1/2 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))) 2)
(*.f32 (/.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 4) 4)
(/.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 1)
(/.f32 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 2) 2)
(/.f32 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 4) 4)
(/.f32 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 8) 8)
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 8)) 16)
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 8)) (.f32 2 (.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 8))) 32)
(-.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 0)
(.f32 1/2 (.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 2))
(*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 1)
(*.f32 1 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(.f32 2 (.f32 1/2 (+.f32 x (-.f32 x (/.f32 1/2 x)))))
(.f32 2 (+.f32 (.f32 1/2 (-.f32 x (/.f32 1/2 x))) (*.f32 x 1/2)))
(.f32 2 (+.f32 (.f32 x 1/2) (*.f32 1/2 (-.f32 x (/.f32 1/2 x)))))
(.f32 (.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 2) 1/2)
(*.f32 4 (/.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 4))
(.f32 (.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 4) 1/4)
(.f32 1/4 (.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 4))
(.f32 1/4 (+.f32 (.f32 (-.f32 x (/.f32 1/2 x)) 4) (*.f32 x 4)))
(.f32 (.f32 1/2 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 2)
(*.f32 (/.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 4) 4)
(/.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 1)
(/.f32 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 2) 2)
(/.f32 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 4) 4)
(/.f32 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 8) 8)
(/.f32 (.f32 2 (.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 8)) 16)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 8)) (.f32 2 (.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 8))) 32)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 (-.f32 x (/.f32 1/2 x)) 0)
(+.f32 0 (-.f32 x (/.f32 1/2 x)))
(+.f32 -1 (+.f32 x (-.f32 1 (/.f32 1/2 x))))
(+.f32 (neg.f32 (/.f32 1/2 x)) x)
(+.f32 (+.f32 x (-.f32 1 (/.f32 1/2 x))) -1)
(+.f32 (.f32 1/2 (-.f32 x (/.f32 1/2 x))) (.f32 1/2 (-.f32 x (/.f32 1/2 x))))
(+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (neg.f32 x)))
(.f32 x (-.f32 1 (/.f32 1/2 (.f32 x x))))
(*.f32 1/2 (-.f32 (+.f32 x x) (/.f32 1 x)))
(*.f32 (-.f32 x (/.f32 1/2 x)) 1)
(*.f32 1 (-.f32 x (/.f32 1/2 x)))
(.f32 (+.f32 x x) (-.f32 1/2 (/.f32 1/4 (.f32 x x))))
(.f32 2 (.f32 1/2 (-.f32 x (/.f32 1/2 x))))
(.f32 2 (-.f32 (.f32 x 1/2) (/.f32 1/4 x)))
(*.f32 (-.f32 (+.f32 x x) (/.f32 1 x)) 1/2)
(*.f32 (-.f32 (/.f32 1/2 x) x) -1)
(*.f32 4 (/.f32 (-.f32 x (/.f32 1/2 x)) 4))
(.f32 (.f32 (-.f32 x (/.f32 1/2 x)) 4) 1/4)
(*.f32 -1 (-.f32 (/.f32 1/2 x) x))
(.f32 1/4 (.f32 (-.f32 x (/.f32 1/2 x)) 4))
(.f32 1/4 (-.f32 (.f32 x 4) (/.f32 2 x)))
(.f32 (.f32 1/2 (-.f32 x (/.f32 1/2 x))) 2)
(*.f32 (/.f32 (-.f32 x (/.f32 1/2 x)) 4) 4)
(/.f32 (-.f32 x (/.f32 1/2 x)) 1)
(/.f32 (-.f32 (+.f32 x x) (/.f32 1 x)) 2)
(/.f32 (-.f32 (/.f32 1/2 x) x) -1)
(/.f32 (*.f32 (-.f32 x (/.f32 1/2 x)) 4) 4)
(/.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x)) -2)
(/.f32 (*.f32 (-.f32 x (/.f32 1/2 x)) 8) 8)
(/.f32 (*.f32 (-.f32 (/.f32 1/2 x) x) 4) -4)
(/.f32 (.f32 2 (.f32 (-.f32 x (/.f32 1/2 x)) 8)) 16)
(/.f32 (neg.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x))) 2)
(/.f32 (+.f32 (.f32 2 (.f32 (-.f32 x (/.f32 1/2 x)) 8)) (.f32 2 (.f32 (-.f32 x (/.f32 1/2 x)) 8))) 32)
(/.f32 (+.f32 (neg.f32 (.f32 2 (-.f32 (/.f32 1/2 x) x))) (neg.f32 (.f32 2 (-.f32 (/.f32 1/2 x) x)))) 4)
(neg.f32 (-.f32 (/.f32 1/2 x) x))

Outputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -1 (log.f32 x)) (.f32 -4 (pow.f32 x 2))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (*.f32 -4 (pow.f32 x 2))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -1 (log.f32 x)) (*.f32 -4 (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -8 (pow.f32 x 4)))))
(+.f32 (+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -8 (pow.f32 x 4))))
(+.f32 (neg.f32 (log.f32 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -8 (pow.f32 x 4)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -1 (log.f32 x)) (.f32 -64/3 (pow.f32 x 6))))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (*.f32 -8 (pow.f32 x 4))))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (+.f32 (.f32 -8 (pow.f32 x 4)) (.f32 -64/3 (pow.f32 x 6))) (*.f32 -4 (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -64/3 (pow.f32 x 6))))))
(+.f32 (+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (+.f32 (.f32 -4 (pow.f32 x 2)) (*.f32 -8 (pow.f32 x 4)))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -64/3 (pow.f32 x 6))) (*.f32 -8 (pow.f32 x 4)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 2) (-.f32 (neg.f32 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (log.f32 2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))))
(+.f32 (log.f32 2) (-.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 2) (-.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6))))))
(+.f32 (log.f32 2) (-.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 -2) (-.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 -2) (-.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))))
(+.f32 (log.f32 -2) (-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 -2) (-.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(+.f32 (log.f32 -2) (-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(/.f32 -1/2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(*.f32 2 x)
(*.f32 x 2)
(+.f32 x x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(*.f32 2 x)
(*.f32 x 2)
(+.f32 x x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 (/.f32 1 x) 1/2))
(/.f32 -1/2 x)
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 (/.f32 1 x) 1/2))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 (/.f32 1 x) 1/2))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 (/.f32 1 x) 1/2))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 (/.f32 1 x) 1/2))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 (/.f32 1 x) 1/2))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 (/.f32 1 x) 1/2))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 (/.f32 1 x) 1/2))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 (/.f32 1 x) 1/2))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 (/.f32 1 x) 1/2))
(+.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 0)
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(+.f32 0 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))))
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(+.f32 (.f32 1/2 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))) (.f32 1/2 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))))
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(-.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 0)
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 1/2 (.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 2))
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 1)
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 1 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))))
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 2 (.f32 1/2 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))))
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 (.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 2) 1/2)
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 4 (/.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 4))
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 (.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 4) 1/4)
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 1/4 (.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 4))
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 (.f32 1/2 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))) 2)
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 (/.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 4) 4)
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 1)
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 2) 2)
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 4) 4)
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (*.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 8) 8)
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 8)) 16)
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 8)) (.f32 2 (.f32 (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 8))) 32)
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(-.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 0)
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 1/2 (.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 2))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 1)
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(*.f32 1 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 2 (.f32 1/2 (+.f32 x (-.f32 x (/.f32 1/2 x)))))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 2 (+.f32 (.f32 1/2 (-.f32 x (/.f32 1/2 x))) (*.f32 x 1/2)))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 2 (+.f32 (.f32 x 1/2) (*.f32 1/2 (-.f32 x (/.f32 1/2 x)))))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 (.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 2) 1/2)
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(*.f32 4 (/.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 4))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 (.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 4) 1/4)
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 1/4 (.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 4))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 1/4 (+.f32 (.f32 (-.f32 x (/.f32 1/2 x)) 4) (*.f32 x 4)))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 (.f32 1/2 (+.f32 x (-.f32 x (/.f32 1/2 x)))) 2)
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(*.f32 (/.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 4) 4)
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 1)
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 2) 2)
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 4) 4)
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (*.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 8) 8)
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (.f32 2 (.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 8)) 16)
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 8)) (.f32 2 (.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))) 8))) 32)
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(+.f32 (-.f32 x (/.f32 1/2 x)) 0)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(+.f32 0 (-.f32 x (/.f32 1/2 x)))
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(+.f32 -1 (+.f32 x (-.f32 1 (/.f32 1/2 x))))
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(+.f32 (neg.f32 (/.f32 1/2 x)) x)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(+.f32 (+.f32 x (-.f32 1 (/.f32 1/2 x))) -1)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(+.f32 (.f32 1/2 (-.f32 x (/.f32 1/2 x))) (.f32 1/2 (-.f32 x (/.f32 1/2 x))))
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (neg.f32 x)))
(+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 x -1))
(+.f32 (-.f32 -1 (/.f32 1/2 x)) (+.f32 1 x))
(+.f32 1 (+.f32 x (-.f32 -1 (/.f32 1/2 x))))
(.f32 x (-.f32 1 (/.f32 1/2 (.f32 x x))))
(*.f32 x (-.f32 1 (/.f32 (/.f32 1/2 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 x (+.f32 x (/.f32 -1 x))))
(*.f32 (-.f32 x (/.f32 1/2 x)) 1)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(*.f32 1 (-.f32 x (/.f32 1/2 x)))
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(.f32 (+.f32 x x) (-.f32 1/2 (/.f32 1/4 (.f32 x x))))
(*.f32 (+.f32 x x) (-.f32 1/2 (/.f32 (/.f32 1/4 x) x)))
(.f32 2 (.f32 1/2 (-.f32 x (/.f32 1/2 x))))
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(.f32 2 (-.f32 (.f32 x 1/2) (/.f32 1/4 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 x x) (/.f32 1 x)))
(*.f32 1/2 (+.f32 x (+.f32 x (/.f32 -1 x))))
(*.f32 (-.f32 (/.f32 1/2 x) x) -1)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(*.f32 4 (/.f32 (-.f32 x (/.f32 1/2 x)) 4))
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(.f32 (.f32 (-.f32 x (/.f32 1/2 x)) 4) 1/4)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(*.f32 -1 (-.f32 (/.f32 1/2 x) x))
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(.f32 1/4 (.f32 (-.f32 x (/.f32 1/2 x)) 4))
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(.f32 1/4 (-.f32 (.f32 x 4) (/.f32 2 x)))
(.f32 (.f32 1/2 (-.f32 x (/.f32 1/2 x))) 2)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(*.f32 (/.f32 (-.f32 x (/.f32 1/2 x)) 4) 4)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(/.f32 (-.f32 x (/.f32 1/2 x)) 1)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.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 x (+.f32 x (/.f32 -1 x))) 2)
(/.f32 (-.f32 (/.f32 1/2 x) x) -1)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(/.f32 (*.f32 (-.f32 x (/.f32 1/2 x)) 4) 4)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(/.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x)) -2)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(/.f32 (*.f32 (-.f32 x (/.f32 1/2 x)) 8) 8)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(/.f32 (*.f32 (-.f32 (/.f32 1/2 x) x) 4) -4)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(/.f32 (.f32 2 (.f32 (-.f32 x (/.f32 1/2 x)) 8)) 16)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(/.f32 (neg.f32 (*.f32 2 (-.f32 (/.f32 1/2 x) x))) 2)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(/.f32 (+.f32 (.f32 2 (.f32 (-.f32 x (/.f32 1/2 x)) 8)) (.f32 2 (.f32 (-.f32 x (/.f32 1/2 x)) 8))) 32)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(/.f32 (+.f32 (neg.f32 (.f32 2 (-.f32 (/.f32 1/2 x) x))) (neg.f32 (.f32 2 (-.f32 (/.f32 1/2 x) x)))) 4)
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))
(neg.f32 (-.f32 (/.f32 1/2 x) x))
(+.f32 x (neg.f32 (/.f32 1/2 x)))
(+.f32 x (/.f32 -1/2 x))

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 24 to 12 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`rational.json-simplify-35`
1074×	`bool.json-1`
1074×	`bool.json-2`
1034×	`rational.json-1`
1034×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	90	42
2	256	42
3	598	42
4	1314	42
5	3359	42

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))) (*.f32 1/2 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 8)) (*.f32 2 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 x (+.f32 x (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 x x) (/.f32 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 x (/.f32 -1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 x (+.f32 (/.f32 -1/2 x) (-.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1/2 x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 x (+.f32 (/.f32 -1/2 x) (-.f32 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) -2) (/.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (*.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (-.f32 (*.f32 x 4) (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (+.f32 (*.f32 x 1/2) (/.f32 (+.f32 x (/.f32 -1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 x 4) (/.f32 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (-.f32 (*.f32 x -2) (/.f32 -1/2 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 2 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 8)) (*.f32 2 (*.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (*.f32 2 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))) (neg.f32 (*.f32 2 (-.f32 (*.f32 x -2) (/.f32 -1/2 x))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f32 (+.f32 x x) (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 (+.f32 x x) (/.f32 -1/2 x)) (+.f32 (+.f32 x x) (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 (+.f32 x x) (/.f32 -1/2 x)) (+.f32 (+.f32 x x) (/.f32 -1/2 x)))))))

simplify177.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1826×	`rational.json-simplify-1`
1612×	`rational.json-simplify-35`
1460×	`rational.json-simplify-52`
948×	`rational.json-simplify-2`
932×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	2235
1	317	2211
2	674	2159
3	1560	2159
4	2958	2159
5	3410	2159
6	3779	2159
7	4252	2159
8	4852	2159
9	5471	2159
10	7023	2159

Stop Event

1×	node limit

Counts

81 → 113

Calls

Call 1

Inputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(/.f32 -1/2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 0)
(+.f32 0 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))))
(+.f32 (.f32 1/2 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))) (.f32 1/2 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))))
(-.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 0)
(.f32 1/2 (.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 2))
(*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 1)
(*.f32 1 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))))
(.f32 2 (.f32 1/2 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))))
(.f32 (.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 2) 1/2)
(*.f32 4 (/.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 4))
(.f32 (.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 4) 1/4)
(.f32 1/4 (.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 4))
(.f32 (.f32 1/2 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))) 2)
(*.f32 (/.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 4) 4)
(/.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 1)
(/.f32 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 2) 2)
(/.f32 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 4) 4)
(/.f32 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 8) 8)
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 8)) 16)
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 8)) (.f32 2 (.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 8))) 32)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(+.f32 (+.f32 x x) (/.f32 -1/2 x))
(+.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 0)
(+.f32 0 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))
(+.f32 (+.f32 x (/.f32 -1/2 x)) x)
(+.f32 -1 (+.f32 x (+.f32 (/.f32 -1/2 x) (-.f32 x -1))))
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 (+.f32 x (+.f32 (/.f32 -1/2 x) (-.f32 x -1))) -1)
(+.f32 (/.f32 (-.f32 (.f32 x -2) (/.f32 -1/2 x)) -2) (/.f32 (-.f32 (.f32 x -2) (/.f32 -1/2 x)) -2))
(+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (*.f32 x -2)))
(.f32 1/2 (.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) -2))
(.f32 1/2 (-.f32 (.f32 x 4) (/.f32 1 x)))
(*.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 1)
(*.f32 1 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))
(.f32 2 (/.f32 (-.f32 (.f32 x -2) (/.f32 -1/2 x)) -2))
(.f32 2 (+.f32 (.f32 x 1/2) (/.f32 (+.f32 x (/.f32 -1/2 x)) 2)))
(.f32 (.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) -2) 1/2)
(.f32 (-.f32 (.f32 x -2) (/.f32 -1/2 x)) -1)
(.f32 -1 (-.f32 (.f32 x -2) (/.f32 -1/2 x)))
(*.f32 4 (/.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 4))
(.f32 (.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 4) 1/4)
(.f32 1/4 (.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 4))
(.f32 (/.f32 (-.f32 (.f32 x -2) (/.f32 -1/2 x)) -2) 2)
(*.f32 (/.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 4) 4)
(.f32 (-.f32 (.f32 x 4) (/.f32 1 x)) 1/2)
(/.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 1)
(/.f32 (.f32 (-.f32 (.f32 x -2) (/.f32 -1/2 x)) -2) 2)
(/.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) -1)
(/.f32 (*.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 4) 4)
(/.f32 (*.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 8) 8)
(/.f32 (.f32 2 (-.f32 (.f32 x -2) (/.f32 -1/2 x))) -2)
(/.f32 (.f32 2 (.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 8)) 16)
(/.f32 (.f32 (-.f32 (.f32 x -2) (/.f32 -1/2 x)) 4) -4)
(/.f32 (neg.f32 (.f32 2 (-.f32 (.f32 x -2) (/.f32 -1/2 x)))) 2)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 8)) (.f32 2 (.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 8))) 32)
(/.f32 (+.f32 (neg.f32 (.f32 2 (-.f32 (.f32 x -2) (/.f32 -1/2 x)))) (neg.f32 (.f32 2 (-.f32 (.f32 x -2) (/.f32 -1/2 x))))) 4)
(neg.f32 (-.f32 (*.f32 x -2) (/.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 (.f32 -4 (pow.f32 x 2)) (.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -1 (log.f32 x)) (.f32 -4 (pow.f32 x 2))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (*.f32 -4 (pow.f32 x 2))))
(+.f32 (neg.f32 (log.f32 x)) (+.f32 (log.f32 -1/2) (*.f32 -4 (pow.f32 x 2))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -1 (log.f32 x)) (*.f32 -4 (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -8 (pow.f32 x 4)) (.f32 -4 (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -8 (pow.f32 x 4)))))
(+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (log.f32 -1/2) (.f32 -4 (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -1 (log.f32 x)) (.f32 -64/3 (pow.f32 x 6)))) (log.f32 -1/2)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (*.f32 -8 (pow.f32 x 4))))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -8 (pow.f32 x 4))) (*.f32 -64/3 (pow.f32 x 6)))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (+.f32 (.f32 -4 (pow.f32 x 2)) (*.f32 -8 (pow.f32 x 4))))))
(+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -64/3 (pow.f32 x 6))))))
(+.f32 (neg.f32 (log.f32 x)) (+.f32 (+.f32 (log.f32 -1/2) (.f32 -4 (pow.f32 x 2))) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -64/3 (pow.f32 x 6)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 2) (-.f32 (neg.f32 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (log.f32 2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/32 (/.f32 1 (pow.f32 x 4)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/192 (/.f32 1 (pow.f32 x 6))))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6))))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (log.f32 2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 -2) (-.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))))
(-.f32 (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/32 (/.f32 1 (pow.f32 x 4)))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 -2) (-.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))))))
(-.f32 (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6))))))
(/.f32 -1/2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(*.f32 2 x)
(*.f32 x 2)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(*.f32 2 x)
(*.f32 x 2)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(+.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 0)
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(+.f32 0 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))))
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(+.f32 (.f32 1/2 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))) (.f32 1/2 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))))
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(-.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 0)
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 1/2 (.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 2))
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 1)
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 1 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))))
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 2 (.f32 1/2 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))))
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 (.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 2) 1/2)
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 4 (/.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 4))
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 (.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 4) 1/4)
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 1/4 (.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 4))
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 (.f32 1/2 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))) 2)
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 (/.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 4) 4)
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 1)
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 2) 2)
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 4) 4)
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (*.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 8) 8)
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 8)) 16)
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 8)) (.f32 2 (.f32 (log.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x))) 8))) 32)
(log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 (+.f32 x x) (/.f32 -1/2 x))
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(+.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 0)
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(+.f32 0 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(+.f32 (+.f32 x (/.f32 -1/2 x)) x)
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(+.f32 -1 (+.f32 x (+.f32 (/.f32 -1/2 x) (-.f32 x -1))))
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(+.f32 (+.f32 x (+.f32 (/.f32 -1/2 x) (-.f32 x -1))) -1)
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(+.f32 (/.f32 (-.f32 (.f32 x -2) (/.f32 -1/2 x)) -2) (/.f32 (-.f32 (.f32 x -2) (/.f32 -1/2 x)) -2))
(+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (*.f32 x -2)))
(.f32 1/2 (.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) -2))
(neg.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))
(-.f32 (/.f32 -1/2 x) (*.f32 x -2))
(.f32 1/2 (-.f32 (.f32 x 4) (/.f32 1 x)))
(*.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 1)
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(*.f32 1 (+.f32 (+.f32 x x) (/.f32 -1/2 x)))
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 2 (/.f32 (-.f32 (.f32 x -2) (/.f32 -1/2 x)) -2))
(neg.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))
(-.f32 (/.f32 -1/2 x) (*.f32 x -2))
(.f32 2 (+.f32 (.f32 x 1/2) (/.f32 (+.f32 x (/.f32 -1/2 x)) 2)))
(.f32 (.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) -2) 1/2)
(neg.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))
(-.f32 (/.f32 -1/2 x) (*.f32 x -2))
(.f32 (-.f32 (.f32 x -2) (/.f32 -1/2 x)) -1)
(neg.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))
(-.f32 (/.f32 -1/2 x) (*.f32 x -2))
(.f32 -1 (-.f32 (.f32 x -2) (/.f32 -1/2 x)))
(neg.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))
(-.f32 (/.f32 -1/2 x) (*.f32 x -2))
(*.f32 4 (/.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 4))
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 (.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 4) 1/4)
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 1/4 (.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 4))
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 (/.f32 (-.f32 (.f32 x -2) (/.f32 -1/2 x)) -2) 2)
(neg.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))
(-.f32 (/.f32 -1/2 x) (*.f32 x -2))
(*.f32 (/.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 4) 4)
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 (-.f32 (.f32 x 4) (/.f32 1 x)) 1/2)
(.f32 1/2 (-.f32 (.f32 x 4) (/.f32 1 x)))
(/.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 1)
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (.f32 (-.f32 (.f32 x -2) (/.f32 -1/2 x)) -2) 2)
(neg.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))
(-.f32 (/.f32 -1/2 x) (*.f32 x -2))
(/.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)) -1)
(neg.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))
(-.f32 (/.f32 -1/2 x) (*.f32 x -2))
(/.f32 (*.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 4) 4)
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (*.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 8) 8)
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (.f32 2 (-.f32 (.f32 x -2) (/.f32 -1/2 x))) -2)
(neg.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))
(-.f32 (/.f32 -1/2 x) (*.f32 x -2))
(/.f32 (.f32 2 (.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 8)) 16)
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (.f32 (-.f32 (.f32 x -2) (/.f32 -1/2 x)) 4) -4)
(neg.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))
(-.f32 (/.f32 -1/2 x) (*.f32 x -2))
(/.f32 (neg.f32 (.f32 2 (-.f32 (.f32 x -2) (/.f32 -1/2 x)))) 2)
(neg.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))
(-.f32 (/.f32 -1/2 x) (*.f32 x -2))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 8)) (.f32 2 (.f32 (+.f32 (+.f32 x x) (/.f32 -1/2 x)) 8))) 32)
(+.f32 (/.f32 -1/2 x) (+.f32 x x))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (+.f32 (neg.f32 (.f32 2 (-.f32 (.f32 x -2) (/.f32 -1/2 x)))) (neg.f32 (.f32 2 (-.f32 (.f32 x -2) (/.f32 -1/2 x))))) 4)
(neg.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))
(-.f32 (/.f32 -1/2 x) (*.f32 x -2))
(neg.f32 (-.f32 (*.f32 x -2) (/.f32 -1/2 x)))
(-.f32 (/.f32 -1/2 x) (*.f32 x -2))

localize47.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 54 to 37 computations (31.5% saved)

series1.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`bool.json-1`
1376×	`bool.json-2`
1328×	`rational.json-1`
1328×	`rational.json-2`
1328×	`rational.json-4`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	116
1	149	104
2	406	104
3	891	104
4	2059	104
5	4924	68

Stop Event

1×	node limit

Counts

4 → 71

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (log.f32 (+.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 x (+.f32 x (/.f32 -1/2 x)))) 4)) (.f32 2 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (+.f32 x (+.f32 -1 (/.f32 -1/2 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (+.f32 (+.f32 x x) (.f32 (+.f32 x (/.f32 -1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 x (+.f32 x (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 1/2 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 1/2 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4)) (.f32 2 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f32 x (+.f32 x (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 x (+.f32 x (/.f32 -1/2 x))) (+.f32 x (+.f32 x (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 x (+.f32 x (/.f32 -1/2 x))) (+.f32 x (+.f32 x (/.f32 -1/2 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (/.f32 -1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (+.f32 -1 (/.f32 -1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (+.f32 x (/.f32 -1/2 x)) 2))))) (#(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 1/2 (+.f32 x (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 x (/.f32 -1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (+.f32 x (/.f32 -1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 x (/.f32 -1/2 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 1/2 (+.f32 x (/.f32 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x (/.f32 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 x (/.f32 -1/2 x)) 2) 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 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 not (not (+.f32 x (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 x (/.f32 -1/2 x)) (+.f32 x (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 x (/.f32 -1/2 x)) (+.f32 x (/.f32 -1/2 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (/.f32 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 -1 (/.f32 -1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 -1 (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1/2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (+.f32 (/.f32 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 x) (neg.f32 (+.f32 x (+.f32 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 -1 (/.f32 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 -1 (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 1/2 (+.f32 -1 (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (+.f32 -1 (/.f32 -1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (/.f32 1/2 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 1/2 (+.f32 -1 (/.f32 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -1 (/.f32 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 1/2 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (+.f32 (/.f32 1/2 x) 1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 4)) (.f32 2 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 2 (+.f32 (/.f32 1/2 x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 (/.f32 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f32 -1 (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 -1 (/.f32 -1/2 x)) (+.f32 -1 (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 -1 (/.f32 -1/2 x)) (+.f32 -1 (/.f32 -1/2 x)))))))

simplify159.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1740×	`rational.json-simplify-35`
988×	`rational.json-simplify-2`
820×	`rational.json-simplify-61`
806×	`rational.json-simplify-1`
734×	`rational.json-simplify-45`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	2517
1	366	2493
2	799	2457
3	1823	2457
4	2806	2457
5	3386	2457
6	3917	2457
7	4474	2457
8	6277	2457

Stop Event

1×	node limit

Counts

119 → 135

Calls

Call 1

Inputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(/.f32 -1/2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(/.f32 -1/2 x)
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(/.f32 -1/2 x)
(neg.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 x))))
(neg.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 x))))
(neg.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 x))))
-1
(neg.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 x))))
(neg.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 x))))
(neg.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 x))))
-1
(neg.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 x))))
(neg.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 x))))
(neg.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 x))))
(+.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 0)
(+.f32 0 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))
(-.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 0)
(.f32 1/2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2))
(*.f32 1 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))
(*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 1)
(.f32 2 (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))))
(.f32 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2) 1/2)
(*.f32 4 (/.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))
(.f32 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4) 1/4)
(.f32 (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))) 2)
(/.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 1)
(/.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2) 2)
(/.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4) 4)
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))) 16)
(-.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 0)
(-.f32 (+.f32 x (+.f32 x (+.f32 -1 (/.f32 -1/2 x)))) -1)
(.f32 1/2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2))
(.f32 1/2 (+.f32 (+.f32 x x) (.f32 (+.f32 x (/.f32 -1/2 x)) 2)))
(*.f32 1 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 1)
(.f32 2 (.f32 1/2 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))
(*.f32 4 (/.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))
(.f32 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2) 1/2)
(.f32 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4) 1/4)
(.f32 (.f32 1/2 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2)
(/.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 1)
(/.f32 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2) 2)
(/.f32 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4)) (.f32 2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))) 16)
(-.f32 (+.f32 x (/.f32 -1/2 x)) 0)
(-.f32 (+.f32 x (+.f32 -1 (/.f32 -1/2 x))) -1)
(.f32 1/2 (.f32 (+.f32 x (/.f32 -1/2 x)) 2))
(*.f32 1 (+.f32 x (/.f32 -1/2 x)))
(*.f32 (+.f32 x (/.f32 -1/2 x)) 1)
(.f32 2 (.f32 1/2 (+.f32 x (/.f32 -1/2 x))))
(.f32 (.f32 (+.f32 x (/.f32 -1/2 x)) 2) 1/2)
(*.f32 4 (/.f32 (+.f32 x (/.f32 -1/2 x)) 4))
(.f32 (.f32 (+.f32 x (/.f32 -1/2 x)) 4) 1/4)
(.f32 (.f32 1/2 (+.f32 x (/.f32 -1/2 x))) 2)
(/.f32 (+.f32 x (/.f32 -1/2 x)) 1)
(/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) 2) 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 2 (.f32 (+.f32 x (/.f32 -1/2 x)) 4)) (.f32 2 (.f32 (+.f32 x (/.f32 -1/2 x)) 4))) 16)
(+.f32 -1 (/.f32 -1/2 x))
(+.f32 (+.f32 -1 (/.f32 -1/2 x)) 0)
(+.f32 0 (+.f32 -1 (/.f32 -1/2 x)))
(+.f32 (/.f32 -1/2 x) -1)
(*.f32 -1 (+.f32 (/.f32 1/2 x) 1))
(.f32 1/2 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 2))
(*.f32 (/.f32 1/2 x) (neg.f32 (+.f32 x (+.f32 x 1))))
(*.f32 (+.f32 -1 (/.f32 -1/2 x)) 1)
(*.f32 1 (+.f32 -1 (/.f32 -1/2 x)))
(.f32 2 (.f32 1/2 (+.f32 -1 (/.f32 -1/2 x))))
(.f32 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 2) 1/2)
(*.f32 4 (/.f32 (+.f32 -1 (/.f32 -1/2 x)) 4))
(*.f32 (+.f32 (/.f32 1/2 x) 1) -1)
(.f32 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 4) 1/4)
(.f32 (.f32 1/2 (+.f32 -1 (/.f32 -1/2 x))) 2)
(/.f32 (+.f32 -1 (/.f32 -1/2 x)) 1)
(/.f32 (*.f32 (+.f32 -1 (/.f32 -1/2 x)) 2) 2)
(/.f32 (+.f32 (/.f32 1/2 x) 1) -1)
(/.f32 (*.f32 (+.f32 -1 (/.f32 -1/2 x)) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 4)) 8)
(/.f32 (*.f32 2 (+.f32 (/.f32 1/2 x) 1)) -2)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 4)) (.f32 2 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 4))) 16)
(/.f32 (neg.f32 (*.f32 2 (+.f32 (/.f32 1/2 x) 1))) 2)
(neg.f32 (+.f32 (/.f32 1/2 x) 1))

Outputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -1 (log.f32 x)) (.f32 -4 (pow.f32 x 2))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (*.f32 -4 (pow.f32 x 2))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -1 (log.f32 x)) (*.f32 -4 (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (neg.f32 (log.f32 x)) (.f32 -8 (pow.f32 x 4)))))
(+.f32 (neg.f32 (log.f32 x)) (+.f32 (+.f32 (log.f32 -1/2) (.f32 -4 (pow.f32 x 2))) (.f32 -8 (pow.f32 x 4))))
(+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (log.f32 -1/2) (.f32 -4 (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -8 (pow.f32 x 4)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -1 (log.f32 x)) (.f32 -64/3 (pow.f32 x 6)))) (log.f32 -1/2)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -64/3 (pow.f32 x 6))))))
(+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 -64/3 (pow.f32 x 6))) (+.f32 (*.f32 -8 (pow.f32 x 4)) (log.f32 -1/2))))
(+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (+.f32 (neg.f32 (log.f32 x)) (.f32 -64/3 (pow.f32 x 6))) (+.f32 (log.f32 -1/2) (*.f32 -8 (pow.f32 x 4)))))
(+.f32 (log.f32 -1/2) (+.f32 (neg.f32 (log.f32 x)) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -64/3 (pow.f32 x 6))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 2) (-.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
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(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/32 (/.f32 1 (pow.f32 x 4)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(-.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/192 (/.f32 1 (pow.f32 x 6))))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6))))))
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(-.f32 (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
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(-.f32 (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (.f32 1/32 (/.f32 1 (pow.f32 x 4)))))
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(/.f32 -1/2 x)
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(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 1/2 (/.f32 1 x)))
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(-.f32 (+.f32 x x) (*.f32 1/2 (/.f32 1 x)))
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(*.f32 x 2)
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(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
(-.f32 (+.f32 x x) (*.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(*.f32 x 2)
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(-.f32 (.f32 x 2) (.f32 (/.f32 1 x) 1/2))
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(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 (/.f32 1 x) 1/2))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 (/.f32 1 x) 1/2))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 (/.f32 1 x) 1/2))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 (/.f32 1 x) 1/2))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
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(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 (/.f32 1 x) 1/2))
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(/.f32 -1/2 x)
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(-.f32 -1 (*.f32 (/.f32 1 x) 1/2))
(-.f32 -1 (*.f32 1/2 (/.f32 1 x)))
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(-.f32 -1 (*.f32 (/.f32 1 x) 1/2))
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-1
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(-.f32 -1 (*.f32 1/2 (/.f32 1 x)))
(+.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 0)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(+.f32 0 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(-.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 0)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 1/2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 1 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 1)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 2 (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2) 1/2)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(*.f32 4 (/.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4) 1/4)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(.f32 (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))) 2)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 1)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2) 2)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4) 4)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4)) 8)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(/.f32 (+.f32 (.f32 2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4)) (.f32 2 (.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 4))) 16)
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
(-.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 0)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(-.f32 (+.f32 x (+.f32 x (+.f32 -1 (/.f32 -1/2 x)))) -1)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 1/2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 1/2 (+.f32 (+.f32 x x) (.f32 (+.f32 x (/.f32 -1/2 x)) 2)))
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(*.f32 1 (+.f32 x (+.f32 x (/.f32 -1/2 x))))
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(*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 1)
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(.f32 2 (.f32 1/2 (+.f32 x (+.f32 x (/.f32 -1/2 x)))))
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(*.f32 4 (/.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2) 1/2)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4) 1/4)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(.f32 (.f32 1/2 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) 2)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 1)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 2) 2)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (*.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4) 4)
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(/.f32 (.f32 2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4)) 8)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4)) (.f32 2 (.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x))) 4))) 16)
(+.f32 x (+.f32 x (/.f32 -1/2 x)))
(-.f32 (+.f32 x (/.f32 -1/2 x)) 0)
(+.f32 x (/.f32 -1/2 x))
(-.f32 (+.f32 x (+.f32 -1 (/.f32 -1/2 x))) -1)
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(.f32 1/2 (.f32 (+.f32 x (/.f32 -1/2 x)) 2))
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(*.f32 1 (+.f32 x (/.f32 -1/2 x)))
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(*.f32 (+.f32 x (/.f32 -1/2 x)) 1)
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(.f32 2 (.f32 1/2 (+.f32 x (/.f32 -1/2 x))))
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(.f32 (.f32 (+.f32 x (/.f32 -1/2 x)) 2) 1/2)
(+.f32 x (/.f32 -1/2 x))
(*.f32 4 (/.f32 (+.f32 x (/.f32 -1/2 x)) 4))
(+.f32 x (/.f32 -1/2 x))
(.f32 (.f32 (+.f32 x (/.f32 -1/2 x)) 4) 1/4)
(+.f32 x (/.f32 -1/2 x))
(.f32 (.f32 1/2 (+.f32 x (/.f32 -1/2 x))) 2)
(+.f32 x (/.f32 -1/2 x))
(/.f32 (+.f32 x (/.f32 -1/2 x)) 1)
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(/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) 2) 2)
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(/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) 4) 4)
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(/.f32 (.f32 2 (.f32 (+.f32 x (/.f32 -1/2 x)) 4)) 8)
(+.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))
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(+.f32 0 (+.f32 -1 (/.f32 -1/2 x)))
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(+.f32 (/.f32 -1/2 x) -1)
(+.f32 -1 (/.f32 -1/2 x))
(*.f32 -1 (+.f32 (/.f32 1/2 x) 1))
(+.f32 -1 (/.f32 -1/2 x))
(.f32 1/2 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 2))
(+.f32 -1 (/.f32 -1/2 x))
(*.f32 (/.f32 1/2 x) (neg.f32 (+.f32 x (+.f32 x 1))))
(+.f32 -1 (/.f32 -1/2 x))
(*.f32 (+.f32 -1 (/.f32 -1/2 x)) 1)
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(*.f32 1 (+.f32 -1 (/.f32 -1/2 x)))
(+.f32 -1 (/.f32 -1/2 x))
(.f32 2 (.f32 1/2 (+.f32 -1 (/.f32 -1/2 x))))
(+.f32 -1 (/.f32 -1/2 x))
(.f32 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 2) 1/2)
(+.f32 -1 (/.f32 -1/2 x))
(*.f32 4 (/.f32 (+.f32 -1 (/.f32 -1/2 x)) 4))
(+.f32 -1 (/.f32 -1/2 x))
(*.f32 (+.f32 (/.f32 1/2 x) 1) -1)
(+.f32 -1 (/.f32 -1/2 x))
(.f32 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 4) 1/4)
(+.f32 -1 (/.f32 -1/2 x))
(.f32 (.f32 1/2 (+.f32 -1 (/.f32 -1/2 x))) 2)
(+.f32 -1 (/.f32 -1/2 x))
(/.f32 (+.f32 -1 (/.f32 -1/2 x)) 1)
(+.f32 -1 (/.f32 -1/2 x))
(/.f32 (*.f32 (+.f32 -1 (/.f32 -1/2 x)) 2) 2)
(+.f32 -1 (/.f32 -1/2 x))
(/.f32 (+.f32 (/.f32 1/2 x) 1) -1)
(+.f32 -1 (/.f32 -1/2 x))
(/.f32 (*.f32 (+.f32 -1 (/.f32 -1/2 x)) 4) 4)
(+.f32 -1 (/.f32 -1/2 x))
(/.f32 (.f32 2 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 4)) 8)
(+.f32 -1 (/.f32 -1/2 x))
(/.f32 (*.f32 2 (+.f32 (/.f32 1/2 x) 1)) -2)
(+.f32 -1 (/.f32 -1/2 x))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 4)) (.f32 2 (.f32 (+.f32 -1 (/.f32 -1/2 x)) 4))) 16)
(+.f32 -1 (/.f32 -1/2 x))
(/.f32 (neg.f32 (*.f32 2 (+.f32 (/.f32 1/2 x) 1))) 2)
(+.f32 -1 (/.f32 -1/2 x))
(neg.f32 (+.f32 (/.f32 1/2 x) 1))
(+.f32 -1 (/.f32 -1/2 x))

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`bool.json-1`
1746×	`bool.json-2`
1712×	`rational.json-1`
1712×	`rational.json-2`
1130×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	78	15
2	208	15
3	415	15
4	852	15
5	1859	15
6	3997	15
7	6753	15

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log.f32 2) (log.f32 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (+.f32 (*.f32 (log.f32 2) 1/2) (*.f32 (log.f32 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (log.f32 2) (log.f32 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (log.f32 2) (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (+.f32 (log.f32 2) (log.f32 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 (log.f32 2) (log.f32 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (/.f32 (+.f32 (log.f32 2) (log.f32 x)) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (+.f32 (log.f32 2) (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 (*.f32 2 (log.f32 2)) (*.f32 2 (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (log.f32 2) (log.f32 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (log.f32 2) (log.f32 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (+.f32 (log.f32 2) (log.f32 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 8))) (*.f32 2 (*.f32 2 (*.f32 (+.f32 (log.f32 2) (log.f32 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f32 (log.f32 2) (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 (log.f32 2) (log.f32 x)) (+.f32 (log.f32 2) (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 (log.f32 2) (log.f32 x)) (+.f32 (log.f32 2) (log.f32 x)))))))

simplify941.0ms (9.2%)

Algorithm

1×	egg-herbie

Rules

6450×	`rational.json-simplify-51`
2088×	`rational.json-simplify-35`
2060×	`rational.json-simplify-1`
1798×	`rational.json-simplify-2`
1446×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	66	586
1	135	570
2	329	570
3	790	570
4	1273	570
5	3158	570
6	3555	570
7	3608	570
8	3650	570
9	3692	570
10	3730	570
11	4565	570
12	4624	570
13	4668	570
14	4703	570
15	4738	570
16	4773	570
17	4808	570
18	4843	570
19	5564	570
20	5954	570
21	5994	570
22	6033	570
23	6071	570
24	6109	570
25	6147	570
26	6185	570
27	6223	570
28	6261	570
29	6299	570
30	6337	570
31	6375	570
32	6413	570
33	6451	570
34	6489	570
35	6489	570
36	6527	570

Stop Event

1×	node limit

Counts

30 → 28

Calls

Call 1

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

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

eval183.0ms (1.8%)

Compiler: Compiled 9410 to 7357 computations (21.8% saved)

prune77.0ms (0.8%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	548	2	550
Fresh	0	0	0
Picked	0	1	1
Done	2	5	7
Total	550	8	558

Error

0.0b

Counts

558 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(-.f32 (+.f32 (log.f32 x) (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6))))))
✓	1.3b	(+.f32 (log.f32 2) (log.f32 x))
✓	31.0b	(log.f32 (/.f32 1/2 x))
✓	0.7b	(log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)))
✓	0.7b	(log.f32 (+.f32 (-.f32 x (/.f32 1/2 x)) x))
▶	0.7b	(log.f32 (+.f32 (+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 x -1)) x))
✓	16.0b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	1.1b	(log.f32 (+.f32 x x))

Compiler

Compiled 87 to 67 computations (23% saved)

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 35 computations (25.5% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`rational.json-simplify-35`
1174×	`bool.json-1`
1174×	`bool.json-2`
1136×	`rational.json-1`
1136×	`rational.json-2`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	91
1	122	91
2	331	91
3	749	91
4	1697	73
5	4025	67

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))))) (*.f32 1/2 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4))) (*.f32 2 (*.f32 2 (*.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (+.f32 x (-.f32 -1 (/.f32 1/2 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 (+.f32 x x) (*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (+.f32 x x) (*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4))) (*.f32 2 (*.f32 2 (*.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (-.f32 -1 (/.f32 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (neg.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (+.f32 x (neg.f32 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (+.f32 x (neg.f32 (/.f32 1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4))) (*.f32 2 (*.f32 2 (*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f32 x (neg.f32 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 x (neg.f32 (/.f32 1/2 x))) (+.f32 x (neg.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 x (neg.f32 (/.f32 1/2 x))) (+.f32 x (neg.f32 (/.f32 1/2 x))))))))

simplify154.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1238×	`rational.json-simplify-1`
1174×	`rational.json-simplify-35`
956×	`rational.json-simplify-2`
856×	`rational.json-simplify-48`
840×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	161	2428
1	310	2172
2	757	2172
3	1536	2172
4	2859	2172
5	3735	2172
6	4131	2172
7	5059	2172
8	7115	2172

Stop Event

1×	node limit

Counts

94 → 121

Calls

Call 1

Inputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(/.f32 -1/2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(/.f32 -1/2 x)
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(+.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 0)
(+.f32 0 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))))
(+.f32 (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))))) (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))))))
(-.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 0)
(.f32 1/2 (.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 2))
(*.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 1)
(*.f32 1 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))))
(.f32 2 (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))))))
(.f32 (.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 2) 1/2)
(*.f32 4 (/.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4))
(.f32 (.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4) 1/4)
(.f32 1/4 (.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4))
(.f32 (.f32 1/2 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))))) 2)
(*.f32 (/.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4) 4)
(/.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 1)
(/.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 2) 2)
(/.f32 (*.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4) 4)
(/.f32 (.f32 2 (.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (*.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4))) (.f32 2 (.f32 2 (.f32 (log.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 4)))) 32)
(-.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 0)
(-.f32 (+.f32 x (+.f32 x (-.f32 -1 (/.f32 1/2 x)))) -1)
(.f32 1/2 (.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 2))
(.f32 1/2 (+.f32 (+.f32 x x) (.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 2)))
(*.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 1)
(*.f32 1 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))))
(.f32 2 (.f32 1/2 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))))
(.f32 (.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 2) 1/2)
(*.f32 4 (/.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4))
(.f32 (.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4) 1/4)
(.f32 1/4 (.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4))
(.f32 (.f32 1/2 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x))))) 2)
(*.f32 (/.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4) 4)
(.f32 (+.f32 (+.f32 x x) (.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 2)) 1/2)
(/.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 1)
(/.f32 (*.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 2) 2)
(/.f32 (*.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (*.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4))) (.f32 2 (.f32 2 (.f32 (+.f32 x (+.f32 x (neg.f32 (/.f32 1/2 x)))) 4)))) 32)
(-.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 0)
(-.f32 (+.f32 x (-.f32 -1 (/.f32 1/2 x))) -1)
(.f32 1/2 (.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 2))
(*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 1)
(*.f32 1 (+.f32 x (neg.f32 (/.f32 1/2 x))))
(.f32 2 (.f32 1/2 (+.f32 x (neg.f32 (/.f32 1/2 x)))))
(.f32 (.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 2) 1/2)
(*.f32 4 (/.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4))
(.f32 (.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4) 1/4)
(.f32 1/4 (.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4))
(.f32 (.f32 1/2 (+.f32 x (neg.f32 (/.f32 1/2 x)))) 2)
(*.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4) 4)
(/.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 1)
(/.f32 (*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 2) 2)
(/.f32 (*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (*.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4))) (.f32 2 (.f32 2 (.f32 (+.f32 x (neg.f32 (/.f32 1/2 x))) 4)))) 32)

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

localize112.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 1 (pow.f32 x 4))
✓	0.3b	(+.f32 (log.f32 x) (log.f32 2))
	0.4b	(/.f32 1 (pow.f32 x 6))
	1.0b	(/.f32 1 (pow.f32 x 2))

Compiler

Compiled 130 to 107 computations (17.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`bool.json-1`
1746×	`bool.json-2`
1712×	`rational.json-1`
1712×	`rational.json-2`
1130×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	78	15
2	208	15
3	415	15
4	852	15
5	1858	15
6	3993	15
7	6749	15

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log.f32 x) (log.f32 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 (log.f32 x) (log.f32 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (+.f32 (*.f32 (log.f32 2) 1/2) (*.f32 (log.f32 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (log.f32 x) (log.f32 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (log.f32 x) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (+.f32 (log.f32 x) (log.f32 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 (log.f32 x) (log.f32 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (*.f32 (+.f32 (log.f32 x) (log.f32 2)) 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (/.f32 (+.f32 (log.f32 x) (log.f32 2)) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (log.f32 x) (log.f32 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (+.f32 (log.f32 x) (log.f32 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 (*.f32 (log.f32 x) 2) (*.f32 2 (log.f32 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (log.f32 x) (log.f32 2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 (log.f32 x) (log.f32 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (log.f32 x) (log.f32 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (log.f32 x) (log.f32 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (+.f32 (log.f32 x) (log.f32 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (log.f32 x) (log.f32 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (log.f32 x) (log.f32 2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (log.f32 x) (log.f32 2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 (log.f32 x) (log.f32 2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 (log.f32 x) (log.f32 2)) 8))) (*.f32 2 (*.f32 2 (*.f32 (+.f32 (log.f32 x) (log.f32 2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f32 (log.f32 x) (log.f32 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 (log.f32 x) (log.f32 2)) (+.f32 (log.f32 x) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 (log.f32 x) (log.f32 2)) (+.f32 (log.f32 x) (log.f32 2)))))))

simplify941.0ms (9.2%)

Algorithm

1×	egg-herbie

Rules

6414×	`rational.json-simplify-51`
2104×	`rational.json-simplify-35`
2038×	`rational.json-simplify-1`
1794×	`rational.json-simplify-2`
1422×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	646
1	135	630
2	333	630
3	784	630
4	1274	630
5	3149	630
6	3548	630
7	3605	630
8	3647	630
9	3689	630
10	3727	630
11	4553	630
12	4612	630
13	4656	630
14	4691	630
15	4726	630
16	4761	630
17	4796	630
18	4831	630
19	5587	630
20	5979	630
21	6019	630
22	6058	630
23	6096	630
24	6134	630
25	6172	630
26	6210	630
27	6248	630
28	6286	630
29	6324	630
30	6362	630
31	6400	630
32	6438	630
33	6476	630
34	6514	630
35	6514	630
36	6552	630

Stop Event

1×	node limit

Counts

34 → 28

Calls

Call 1

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

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

eval82.0ms (0.8%)

Compiler: Compiled 4291 to 3511 computations (18.2% saved)

prune31.0ms (0.3%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	211	8	219

Error

0.0b

Counts

219 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(-.f32 (+.f32 (log.f32 x) (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6))))))
✓	1.3b	(+.f32 (log.f32 2) (log.f32 x))
✓	31.0b	(log.f32 (/.f32 1/2 x))
✓	0.7b	(log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)))
✓	0.7b	(log.f32 (+.f32 (-.f32 x (/.f32 1/2 x)) x))
✓	0.7b	(log.f32 (+.f32 (+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 x -1)) x))
✓	16.0b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	1.1b	(log.f32 (+.f32 x x))

Compiler

Compiled 87 to 67 computations (23% saved)

regimes26.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))
(log.f32 (/.f32 1/2 x))
(log.f32 (+.f32 (-.f32 x (/.f32 1/2 x)) x))
(log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x)))
(log.f32 (+.f32 x (-.f32 x (*.f32 1/2 (/.f32 1 x)))))
(log.f32 (-.f32 (+.f32 x x) (*.f32 1/2 (/.f32 1 x))))
(log.f32 (+.f32 (+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 x -1)) x))
(log.f32 (+.f32 x (+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 1 (neg.f32 x)))))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
(-.f32 (+.f32 (log.f32 x) (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6))))))
(-.f32 (-.f32 (log.f32 2) (neg.f32 (log.f32 x))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6))))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6))))))

Outputs
(-.f32 (+.f32 (log.f32 x) (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6))))))

Calls

3 calls:

8.0ms	x
6.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
6.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))

Results

Error	Segments	Branch
0.6b	1	`x`
0.6b	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))`
0.6b	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))`

Compiler

Compiled 204 to 155 computations (24% saved)

regimes20.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
5.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
5.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))

Results

Error	Segments	Branch
0.7b	1	`x`
0.7b	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))`
0.7b	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))`

Compiler

Compiled 113 to 78 computations (31% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.7b	1	`x`

Compiler

Compiled 47 to 29 computations (38.3% saved)

regimes3.0ms (0%)

Accuracy

Total -30.0b remaining (-2782.2%)

Threshold costs -30.0b (-2782.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.1b	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	156

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f32 (+.f32 (log.f32 x) (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6))))))
(log.f32 (+.f32 (+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 x -1)) x))
(log.f32 (+.f32 (-.f32 x (/.f32 1/2 x)) x))
(log.f32 (+.f32 x x))

Outputs
(-.f32 (+.f32 (log.f32 x) (log.f32 2)) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6))))))
(log.f32 (+.f32 (+.f32 (-.f32 -1 (/.f32 1/2 x)) (-.f32 x -1)) x))
(log.f32 (+.f32 (-.f32 x (/.f32 1/2 x)) x))
(log.f32 (+.f32 x x))

Compiler

Compiled 57 to 45 computations (21.1% saved)

soundness672.0ms (6.6%)

Algorithm

2×	egg-herbie

Rules

3738×	`rational.json-simplify-48`
2868×	`rational.json-simplify-1`
2010×	`rational.json-simplify-35`
1240×	`rational.json-simplify-41`
946×	`rational.json-simplify-19`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	196	2847
1	393	2831
2	756	2831
3	1643	2831
4	3004	2831
5	4955	2831
6	6376	2831
0	94	1122
1	161	1114
2	256	1114
3	507	1114
4	1063	1114
5	2592	1114
6	2906	1114
7	3019	1114
8	3103	1114
9	3170	1114
10	3240	1114
11	3942	1114
12	4041	1114
13	4253	1114
14	4822	1114
15	4923	1114
16	4973	1114
17	5023	1114
18	5073	1114
19	5123	1114
20	6250	1114
21	6804	1114
22	6991	1114
23	7052	1114
24	7104	1114
25	7646	1114
26	7803	1114
27	7803	1114

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 257 to 223 computations (13.2% saved)

end36.0ms (0.4%)

Compiler: Compiled 54 to 42 computations (22.2% saved)

Details

analyze0.0ms (0%)

sample2.1s (20.8%)

preprocess10.0ms (0.1%)

simplify130.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize34.0ms (0.3%)

series4.0ms (0%)

rewrite101.0ms (1%)

simplify149.0ms (1.5%)

eval66.0ms (0.6%)

prune32.0ms (0.3%)

localize139.0ms (1.4%)

series52.0ms (0.5%)

rewrite92.0ms (0.9%)

simplify544.0ms (5.3%)

localize12.0ms (0.1%)

series42.0ms (0.4%)

rewrite89.0ms (0.9%)

simplify812.0ms (8%)

localize19.0ms (0.2%)

series28.0ms (0.3%)

rewrite87.0ms (0.8%)

simplify99.0ms (1%)

localize39.0ms (0.4%)

series2.0ms (0%)

rewrite69.0ms (0.7%)

simplify185.0ms (1.8%)

localize34.0ms (0.3%)

series1.0ms (0%)

rewrite68.0ms (0.7%)

simplify153.0ms (1.5%)

eval118.0ms (1.2%)

prune62.0ms (0.6%)

localize116.0ms (1.1%)

series8.0ms (0.1%)

rewrite79.0ms (0.8%)

simplify213.0ms (2.1%)

localize28.0ms (0.3%)

series1.0ms (0%)

rewrite66.0ms (0.6%)

simplify112.0ms (1.1%)

localize26.0ms (0.3%)

series1.0ms (0%)

rewrite65.0ms (0.6%)

simplify177.0ms (1.7%)

localize47.0ms (0.5%)

series1.0ms (0%)

rewrite84.0ms (0.8%)

simplify159.0ms (1.6%)

localize18.0ms (0.2%)

series0.0ms (0%)

rewrite94.0ms (0.9%)

simplify941.0ms (9.2%)

eval183.0ms (1.8%)

prune77.0ms (0.8%)

localize45.0ms (0.4%)

series1.0ms (0%)

rewrite73.0ms (0.7%)

simplify154.0ms (1.5%)

localize112.0ms (1.1%)

series0.0ms (0%)

rewrite96.0ms (0.9%)

simplify941.0ms (9.2%)

eval82.0ms (0.8%)

prune31.0ms (0.3%)

regimes26.0ms (0.3%)

regimes20.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

simplify3.0ms (0%)

soundness672.0ms (6.6%)

end36.0ms (0.4%)

Profiling