Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample1.2s (39.2%)

Results

1.2s

8256×

body

256

valid

Bogosity

preprocess12.0ms (0.4%)

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)

simplify158.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1316×	`fma-neg`
1074×	`+-commutative`
1010×	`*-commutative`
776×	`distribute-neg-in`
746×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	21	23
2	25	23
3	40	23
4	84	23
5	177	23
6	348	23
7	794	23
8	3311	23
9	4904	23
10	6285	23
11	7231	23
12	7581	23
13	7779	23
14	7887	23

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 (fma.f32 x x -1))))

eval1.0ms (0%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

17.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.8b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize46.0ms (1.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
✓	0.6b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	15.1b	(sqrt.f32 (-.f32 (*.f32 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite91.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`*-commutative`
846×	`associate-*r/`
664×	`associate-*l/`
634×	`distribute-lft-in`
612×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	213	55
2	2863	55

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (+.f32 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/2) (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (+.f32 x 1) 1/2) (pow.f32 (+.f32 x -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (+.f32 x -1) 1/2) (pow.f32 (+.f32 x 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) (sqrt.f32 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (sqrt.f32 (+.f32 -1 (pow.f32 x 6)))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (sqrt.f32 (+.f32 (pow.f32 x 4) -1))) (sqrt.f32 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (+.f32 -1 (pow.f32 x 6)))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (+.f32 (pow.f32 x 4) -1))) (cbrt.f32 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 -1 (pow.f32 x 6)))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 (pow.f32 x 4) -1))) (sqrt.f32 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) 1) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) 1) (sqrt.f32 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 x x -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 x x -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) (.f32 1 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (.f32 1 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) 1) (.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1) (.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 1 (.f32 x (-.f32 x x)))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (+.f32 1 (.f32 x (-.f32 x x))))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (log.f32 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x 1) (-.f32 1 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (/.f32 (fma.f32 x x -1) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 x 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x 1) (-.f32 1 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (/.f32 (fma.f32 x x -1) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 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(+.f32 -1 (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (*.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (*.f32 x (-.f32 x x))) (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (/.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 1 (*.f32 x (-.f32 x x)))) (/.f32 (-.f32 x 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(#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (*.f32 x (-.f32 x x))) -1) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (neg.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 1 (*.f32 x (-.f32 x x))))) (sqrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (sqrt.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (+.f32 1 (*.f32 x (-.f32 x x))))) (cbrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (cbrt.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 -1 (*.f32 x (-.f32 x x))) 1) (-.f32 (sqrt.f32 (fma.f32 x x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (neg.f32 (*.f32 x (-.f32 x x))) -1) 1) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) 1) (neg.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (+.f32 1 (*.f32 x (-.f32 x x)))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (+.f32 1 (*.f32 x (-.f32 x x)))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (cbrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (cbrt.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 x 4) (pow.f32 (fma.f32 x x -1) 2)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (*.f32 x x) (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x -1) 3)) 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(pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (*.f32 (cbrt.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (cbrt.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (cbrt.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 1 (*.f32 x (-.f32 x x))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (neg.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (sqrt.f32 (fma.f32 x x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))))))

simplify116.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1048×	`associate-*r/`
944×	`+-commutative`
894×	`associate-+l+`
836×	`associate-*l/`
824×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	464	8239
1	1153	7443
2	4459	7255

Stop Event

1×	node limit

Counts

187 → 315

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))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1)
(*.f32 1 (sqrt.f32 (fma.f32 x x -1)))
(*.f32 (sqrt.f32 (fma.f32 x x -1)) 1)
(*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2))
(*.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4))
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1)))
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))
(*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)))
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(/.f32 (/.f32 (+.f32 1 (*.f32 x (-.f32 x x))) (+.f32 (pow.f32 (fma.f32 x x -1) 1/4) (sqrt.f32 x))) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)))
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) 1) (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (sqrt.f32 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (sqrt.f32 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (.f32 (cbrt.f32 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (cbrt.f32 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (cbrt.f32 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)
(pow.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)
(pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3)
(pow.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3) 1/3)
(pow.f32 (E.f32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(neg.f32 (/.f32 (+.f32 1 (*.f32 x (-.f32 x x))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (neg.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))))
(sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2))
(log.f32 (exp.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(cbrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))
(expm1.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(exp.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log1p.f32 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(fma.f32 1 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 1 (sqrt.f32 (fma.f32 x x -1)) x)
(fma.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))

Outputs
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (.f32 x x) (sqrt.f32 -1))))
(fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) (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)))))
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (.f32 x x) (sqrt.f32 -1)))))
(+.f32 (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) (sqrt.f32 -1)) (*.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1))))
(+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5))))))
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (.f32 x x) (sqrt.f32 -1)) (/.f32 (.f32 1/16 (pow.f32 x 6)) (pow.f32 (sqrt.f32 -1) 5)))))
(+.f32 (.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1))) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) (.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5))))))
(+.f32 (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) (sqrt.f32 -1)) (+.f32 (.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1))) (/.f32 (.f32 1/16 (pow.f32 x 6)) (pow.f32 (sqrt.f32 -1) 5))))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (/.f32 1/2 x))
(+.f32 x (/.f32 -1/2 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 x) (/.f32 1/8 (pow.f32 x 3))))
(+.f32 x (-.f32 (/.f32 -1/2 x) (/.f32 1/8 (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 (-.f32 x (/.f32 1/2 x)) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5))))
(+.f32 x (-.f32 (/.f32 -1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5)))))
(+.f32 (+.f32 x (/.f32 -1/2 x)) (-.f32 (/.f32 -1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5))))
(*.f32 -1 x)
(neg.f32 x)
(+.f32 (.f32 -1 x) (.f32 1/2 (/.f32 1 x)))
(fma.f32 -1 x (/.f32 1/2 x))
(-.f32 (/.f32 1/2 x) 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 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (neg.f32 x)))
(+.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/8 (pow.f32 x 3)) 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 x) (+.f32 (/.f32 1/16 (pow.f32 x 5)) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (neg.f32 x))))
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/16 (pow.f32 x 5)) (-.f32 (/.f32 1/8 (pow.f32 x 3)) x)))
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (-.f32 (/.f32 1/16 (pow.f32 x 5)) 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))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))))
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (/.f32 x (sqrt.f32 -1)) (*.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1)))))
(+.f32 (.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))))
(fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))))
(+.f32 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) (fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (*.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1)))))
(fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (/.f32 x (sqrt.f32 -1)) (*.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2))
(+.f32 (log.f32 2) (log.f32 x))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (/.f32 1/4 (*.f32 x x)))
(-.f32 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 1/4 (*.f32 x x)))
(+.f32 (log.f32 x) (-.f32 (log.f32 2) (/.f32 1/4 (*.f32 x x))))
(-.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 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4))))
(+.f32 (log.f32 x) (-.f32 (log.f32 2) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4)))))
(-.f32 (+.f32 (log.f32 x) (-.f32 (log.f32 2) (/.f32 1/4 (*.f32 x x)))) (/.f32 3/32 (pow.f32 x 4)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(-.f32 (-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (/.f32 3/32 (pow.f32 x 4))) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))))
(-.f32 (+.f32 (log.f32 2) (log.f32 x)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6)))))
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (-.f32 (-.f32 (/.f32 -1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4))) (/.f32 5/96 (pow.f32 x 6)))))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 -1/2)))
(+.f32 (/.f32 1/4 (*.f32 x x)) (+.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 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4))) (log.f32 -1/2)))
(+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4))) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
(+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6)))) (log.f32 -1/2)))
(+.f32 (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6)))) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
(+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 (/.f32 5/96 (pow.f32 x 6)) (log.f32 -1/2))) (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 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1)) x))
(+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) x))
(+.f32 x (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) (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)))
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1)) x)))
(+.f32 (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) (sqrt.f32 -1)) (+.f32 x (*.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1)))))
(+.f32 x (+.f32 (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) (sqrt.f32 -1)) (*.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1)))))
(*.f32 2 x)
(*.f32 x 2)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 x 2) (/.f32 1/2 x))
(fma.f32 x 2 (/.f32 -1/2 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 x) (/.f32 1/8 (pow.f32 x 3))))
(-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) (/.f32 1/8 (pow.f32 x 3)))
(+.f32 (fma.f32 x 2 (/.f32 -1/2 x)) (/.f32 -1/8 (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 (*.f32 x 2) (/.f32 1/2 x)) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5))))
(-.f32 (-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) (/.f32 1/8 (pow.f32 x 3))) (/.f32 1/16 (pow.f32 x 5)))
(+.f32 (fma.f32 x 2 (/.f32 -1/2 x)) (-.f32 (/.f32 -1/8 (pow.f32 x 3)) (/.f32 1/16 (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 x) (/.f32 1/8 (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 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5))))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/2 x) (/.f32 1/16 (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 1/16 (pow.f32 x 5)) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/2 x) (/.f32 5/128 (pow.f32 x 7)))))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (+.f32 (/.f32 1/2 x) (/.f32 5/128 (pow.f32 x 7))) (/.f32 1/16 (pow.f32 x 5))))
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/16 (pow.f32 x 5)) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 5/128 (pow.f32 x 7)))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1)
(sqrt.f32 (fma.f32 x x -1))
(*.f32 1 (sqrt.f32 (fma.f32 x x -1)))
(sqrt.f32 (fma.f32 x x -1))
(*.f32 (sqrt.f32 (fma.f32 x x -1)) 1)
(sqrt.f32 (fma.f32 x x -1))
(*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2))
(sqrt.f32 (fma.f32 x x -1))
(*.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4))
(sqrt.f32 (fma.f32 x x -1))
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1)))
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1)))
(*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)))
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 -1 x)))
(*.f32 (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (+.f32 x 1)))
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 -1 x)))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (fma.f32 x x -1)))
(sqrt.f32 (fma.f32 x x -1))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) 1/2))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))
(*.f32 (pow.f32 (+.f32 x 1) 1/2) (pow.f32 (+.f32 x -1) 1/2))
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 -1 x)))
(*.f32 (pow.f32 (+.f32 x -1) 1/2) (pow.f32 (+.f32 x 1) 1/2))
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 -1 x)))
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(/.f32 (sqrt.f32 (+.f32 1 (*.f32 x 0))) (/.f32 (sqrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(/.f32 (.f32 (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(/.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (/.f32 (sqrt.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))
(*.f32 (/.f32 (hypot.f32 (pow.f32 (fma.f32 x x -1) 3/4) (pow.f32 x 3/2)) (sqrt.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1)))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1)))) (hypot.f32 (pow.f32 (fma.f32 x x -1) 3/4) (pow.f32 x 3/2)))
(/.f32 (.f32 (cbrt.f32 (+.f32 1 (.f32 x (-.f32 x x)))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (cbrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(/.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (/.f32 (cbrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (+.f32 1 (*.f32 x 0)))))
(*.f32 (/.f32 1 (cbrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))
(/.f32 (.f32 (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (cbrt.f32 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(/.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (/.f32 (cbrt.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))
(/.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (/.f32 (cbrt.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1))) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1)))) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))))
(/.f32 (.f32 (-.f32 (pow.f32 x 4) (pow.f32 (fma.f32 x x -1) 2)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (.f32 x x) (fma.f32 x x -1)))
(/.f32 (-.f32 (pow.f32 x 4) (pow.f32 (fma.f32 x x -1) 2)) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x (fma.f32 x x -1))))
(/.f32 (.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x -1) 3)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (pow.f32 x 4) (.f32 (fma.f32 x x -1) (+.f32 (*.f32 x x) (fma.f32 x x -1)))))
(/.f32 (/.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x -1) 3)) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (+.f32 (pow.f32 x 4) (*.f32 (fma.f32 x x -1) (fma.f32 x x (fma.f32 x x -1)))))
(/.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x -1) 3)) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 (fma.f32 x x -1) (fma.f32 x x (fma.f32 x x -1)) (pow.f32 x 4))))
(/.f32 (.f32 (+.f32 (pow.f32 (pow.f32 x 3) 3) (pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 3)) (/.f32 1 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (+.f32 (pow.f32 x 6) (-.f32 (pow.f32 (fma.f32 x x -1) 3) (*.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))
(/.f32 (/.f32 (+.f32 (pow.f32 (pow.f32 x 3) 3) (pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 3)) (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (-.f32 (+.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x -1) 3)) (.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))))
(/.f32 (+.f32 (pow.f32 (pow.f32 x 3) 3) (pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 3)) (.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1)) (+.f32 (pow.f32 x 6) (-.f32 (pow.f32 (fma.f32 x x -1) 3) (.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))))))
(/.f32 (/.f32 (+.f32 (pow.f32 (pow.f32 x 3) 3) (pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 3)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1))) (+.f32 (pow.f32 (fma.f32 x x -1) 3) (-.f32 (pow.f32 x 6) (*.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))
(/.f32 (.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x -1) 3)) (/.f32 1 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))
(/.f32 (/.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x -1) 3)) (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))
(/.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x -1) 3)) (*.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1)) (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))))
(/.f32 (/.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x -1) 3)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1))) (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))
(/.f32 (/.f32 (+.f32 1 (*.f32 x (-.f32 x x))) 1) (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(.f32 (+.f32 1 (.f32 x 0)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(/.f32 -1 (-.f32 (sqrt.f32 (fma.f32 x x -1)) x))
(/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(/.f32 (/.f32 (+.f32 1 (*.f32 x (-.f32 x x))) (sqrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(.f32 (+.f32 1 (.f32 x 0)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(/.f32 -1 (-.f32 (sqrt.f32 (fma.f32 x x -1)) x))
(/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(/.f32 (/.f32 (+.f32 1 (.f32 x (-.f32 x x))) (.f32 (cbrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (cbrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(.f32 (+.f32 1 (.f32 x 0)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(/.f32 -1 (-.f32 (sqrt.f32 (fma.f32 x x -1)) x))
(/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(/.f32 (/.f32 (+.f32 1 (*.f32 x (-.f32 x x))) (+.f32 (pow.f32 (fma.f32 x x -1) 1/4) (sqrt.f32 x))) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)))
(/.f32 (/.f32 (+.f32 1 (*.f32 x 0)) (+.f32 (pow.f32 (fma.f32 x x -1) 1/4) (sqrt.f32 x))) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)))
(/.f32 (/.f32 1 (+.f32 (pow.f32 (fma.f32 x x -1) 1/4) (sqrt.f32 x))) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)))
(/.f32 1 (*.f32 (+.f32 (pow.f32 (fma.f32 x x -1) 1/4) (sqrt.f32 x)) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4))))
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) 1) (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(/.f32 (.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) 1) (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1)))
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (sqrt.f32 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (sqrt.f32 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(/.f32 (.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) 1) (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1)))
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (.f32 (cbrt.f32 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (cbrt.f32 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (cbrt.f32 (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(/.f32 (.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) 1) (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1)))
(pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(pow.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3)
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(pow.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3) 1/3)
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(pow.f32 (E.f32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(neg.f32 (/.f32 (+.f32 1 (*.f32 x (-.f32 x x))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(.f32 (+.f32 1 (.f32 x 0)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(/.f32 -1 (-.f32 (sqrt.f32 (fma.f32 x x -1)) x))
(/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(neg.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (neg.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))))
(/.f32 (.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) 1) (+.f32 (fma.f32 x x -1) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1)))
(sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2))
(fabs.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(log.f32 (exp.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(cbrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(expm1.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(exp.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(log1p.f32 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 1 x (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 1 (sqrt.f32 (fma.f32 x x -1)) x)
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4) x)
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) x)
(fma.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1)) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 0))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))

eval178.0ms (5.7%)

Compiler: Compiled 6581 to 4657 computations (29.2% saved)

prune73.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	311	4	315
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	311	5	316

Error

0.0b

Counts

316 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(+.f32 (log.f32 2) (log.f32 x))
▶	31.0b	(log.f32 (/.f32 1/2 x))
▶	0.8b	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	17.8b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
▶	1.2b	(log.f32 (+.f32 x x))

Compiler

Compiled 35 to 26 computations (25.7% saved)

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(log.f32 (+.f32 x x))

Compiler

Compiled 9 to 3 computations (66.7% saved)

series76.0ms (2.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
51.0ms	x	@	0	(log.f32 (+.f32 x x))
19.0ms	x	@	-inf	(log.f32 (+.f32 x x))
6.0ms	x	@	inf	(log.f32 (+.f32 x x))

rewrite50.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`add-sqr-sqrt`
1130×	`*-un-lft-identity`
1072×	`pow1`
1056×	`add-cube-cbrt`
1046×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	122	11
2	1605	11

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 2) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (.f32 2 (pow.f32 x 3))) (log.f32 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 0) (log.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1)))) (#(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 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x x) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 2) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 0) (log.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1)))) (#(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 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x x) 1))))))

simplify54.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

864×	`associate-+r+`
790×	`distribute-lft-out`
782×	`associate-+l+`
776×	`associate-r`
756×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	502
1	125	390
2	521	390
3	2745	390
4	5929	390

Stop Event

1×	node limit

Counts

32 → 29

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)) (log.f32 (+.f32 x x)))
(+.f32 0 (log.f32 (+.f32 x x)))
(+.f32 (log.f32 2) (log.f32 x))
(-.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (fma.f32 x x 0)))
(-.f32 (log.f32 0) (log.f32 0))
(-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1)
(*.f32 (log.f32 (+.f32 x x)) 1)
(*.f32 1 (log.f32 (+.f32 x x)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x))))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x))))
(pow.f32 (log.f32 (+.f32 x x)) 1)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x x))) 2)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x x)) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x x))))
(exp.f32 (log.f32 (log.f32 (+.f32 x x))))
(log1p.f32 (-.f32 (+.f32 x x) 1))

Outputs
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)))
(*.f32 2 (log.f32 (+.f32 x x)))
(+.f32 0 (log.f32 (+.f32 x x)))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(-.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (fma.f32 x x 0)))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(-.f32 (log.f32 0) (log.f32 0))
0
(-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1)
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(*.f32 (log.f32 (+.f32 x x)) 1)
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(*.f32 1 (log.f32 (+.f32 x x)))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(pow.f32 (log.f32 (+.f32 x x)) 1)
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x x))) 2)
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 3)
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(pow.f32 (pow.f32 (log.f32 (+.f32 x x)) 3) 1/3)
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 2))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 3))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(exp.f32 (log.f32 (log.f32 (+.f32 x x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(log1p.f32 (-.f32 (+.f32 x x) 1))
(log1p.f32 (+.f32 x (-.f32 x 1)))
(log1p.f32 (fma.f32 2 x -1))

localize31.0ms (1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))

Compiler

Compiled 25 to 18 computations (28% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite87.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`associate-*r/`
908×	`*-commutative`
668×	`unswap-sqr`
668×	`associate-*l/`
542×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	216	19
2	2731	19

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))) (*.f32 1 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (*.f32 1 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)) 1) (*.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1) (*.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (*.f32 8 (pow.f32 x 3)) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (*.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (/.f32 (/.f32 -1/4 x) x))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (+.f32 (*.f32 8 (pow.f32 x 3)) (/.f32 -1/8 (pow.f32 x 3))))) (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (*.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (/.f32 (/.f32 -1/4 x) x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (*.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) (*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) 1))))))

simplify59.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1428×	`associate-+l-`
1104×	`associate-r`
970×	`*-commutative`
926×	`associate-l`
842×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1910
1	372	1650
2	1141	1642
3	4941	1642

Stop Event

1×	node limit

Counts

48 → 94

Calls

Call 1

Inputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 0)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(+.f32 0 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))
(+.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(+.f32 (.f32 1 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))) (.f32 1 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))
(+.f32 (.f32 1 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (.f32 1 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))
(+.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)) 1) (.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1))
(+.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1) (.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1))
(-.f32 (log.f32 (+.f32 (.f32 8 (pow.f32 x 3)) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (+.f32 (.f32 4 (.f32 x x)) (.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x))))))
(-.f32 (log.f32 (+.f32 (.f32 4 (.f32 x x)) (/.f32 (/.f32 -1/4 x) x))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 1)
(-.f32 (+.f32 0 (log.f32 (+.f32 (.f32 8 (pow.f32 x 3)) (/.f32 -1/8 (pow.f32 x 3))))) (log.f32 (+.f32 (.f32 4 (.f32 x x)) (.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x))))))
(-.f32 (+.f32 0 (log.f32 (+.f32 (.f32 4 (.f32 x x)) (/.f32 (/.f32 -1/4 x) x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) 1)
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(*.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 1)
(*.f32 1 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))
(*.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (*.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))))
(.f32 (.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) (*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))
(pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 1)
(pow.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)
(pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(exp.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(log1p.f32 (-.f32 (fma.f32 x 2 (/.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) (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) (fma.f32 -4 (*.f32 x x) (neg.f32 (log.f32 x))))
(+.f32 (log.f32 -1/2) (-.f32 (.f32 x (.f32 x -4)) (log.f32 x)))
(-.f32 (fma.f32 x (*.f32 x -4) (log.f32 -1/2)) (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) (fma.f32 -4 (*.f32 x x) (fma.f32 -8 (pow.f32 x 4) (neg.f32 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (-.f32 (fma.f32 -4 (.f32 x x) (.f32 -8 (pow.f32 x 4))) (log.f32 x)))
(+.f32 (-.f32 (log.f32 -1/2) (log.f32 x)) (fma.f32 x (.f32 x -4) (.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) (fma.f32 -4 (*.f32 x x) (fma.f32 -8 (pow.f32 x 4) (fma.f32 -64/3 (pow.f32 x 6) (neg.f32 (log.f32 x))))))
(+.f32 (log.f32 -1/2) (fma.f32 -4 (.f32 x x) (-.f32 (fma.f32 -8 (pow.f32 x 4) (.f32 -64/3 (pow.f32 x 6))) (log.f32 x))))
(+.f32 (-.f32 (fma.f32 x (.f32 x -4) (log.f32 -1/2)) (log.f32 x)) (fma.f32 -8 (pow.f32 x 4) (.f32 -64/3 (pow.f32 x 6))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2))
(+.f32 (log.f32 2) (log.f32 x))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (/.f32 1/4 (*.f32 x x)))
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (/.f32 -1/4 (*.f32 x x))))
(-.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 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/32 (pow.f32 x 4))))
(+.f32 (log.f32 2) (-.f32 (log.f32 x) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/32 (pow.f32 x 4)))))
(+.f32 (log.f32 x) (+.f32 (+.f32 (log.f32 2) (/.f32 -1/4 (*.f32 x x))) (/.f32 -1/32 (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 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (/.f32 1/32 (pow.f32 x 4))) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6))))
(+.f32 (log.f32 x) (-.f32 (-.f32 (log.f32 2) (/.f32 1/32 (pow.f32 x 4))) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6)))))
(+.f32 (log.f32 x) (+.f32 (-.f32 (log.f32 2) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6)))) (/.f32 -1/32 (pow.f32 x 4))))
(+.f32 (log.f32 x) (+.f32 (+.f32 (log.f32 2) (/.f32 -1/32 (pow.f32 x 4))) (-.f32 (/.f32 -1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2))
(-.f32 (log.f32 -2) (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 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) (/.f32 1/4 (*.f32 x x)))
(+.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (/.f32 -1/4 (*.f32 x x)))
(-.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (/.f32 1/4 (*.f32 x x)))
(-.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 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/32 (pow.f32 x 4))))
(+.f32 (-.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (/.f32 1/32 (pow.f32 x 4))) (/.f32 -1/4 (*.f32 x x)))
(+.f32 (-.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (/.f32 1/4 (*.f32 x x))) (/.f32 -1/32 (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 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) (/.f32 1/32 (pow.f32 x 4))) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6))))
(-.f32 (+.f32 (-.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (/.f32 1/32 (pow.f32 x 4))) (/.f32 -1/4 (*.f32 x x))) (/.f32 1/192 (pow.f32 x 6)))
(+.f32 (-.f32 (log.f32 -2) (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6))))) (/.f32 -1/32 (pow.f32 x 4)))
(+.f32 (+.f32 (-.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (/.f32 1/4 (*.f32 x x))) (/.f32 -1/32 (pow.f32 x 4))) (/.f32 -1/192 (pow.f32 x 6)))
(+.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 0)
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(*.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3)
(+.f32 0 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(+.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(*.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3)
(+.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(*.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3)
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(+.f32 (.f32 1 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))) (.f32 1 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(*.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3)
(+.f32 (.f32 1 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (.f32 1 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(+.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)) 1) (.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(*.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3)
(+.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1) (.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1))
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(-.f32 (log.f32 (+.f32 (.f32 8 (pow.f32 x 3)) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (+.f32 (.f32 4 (.f32 x x)) (.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x))))))
(-.f32 (log.f32 (fma.f32 8 (pow.f32 x 3) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (fma.f32 4 (.f32 x x) (.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x))))))
(-.f32 (log.f32 (fma.f32 8 (pow.f32 x 3) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (fma.f32 (.f32 x x) 4 (.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x))))))
(-.f32 (log.f32 (fma.f32 8 (pow.f32 x 3) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (fma.f32 x (.f32 x 4) (/.f32 (+.f32 (.f32 x 1) (/.f32 1/4 x)) x))))
(-.f32 (log.f32 (+.f32 (.f32 4 (.f32 x x)) (/.f32 (/.f32 -1/4 x) x))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(-.f32 (log.f32 (fma.f32 4 (.f32 x x) (/.f32 -1/4 (.f32 x x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(-.f32 (log.f32 (fma.f32 (.f32 x x) 4 (/.f32 -1/4 (.f32 x x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(-.f32 (log.f32 (fma.f32 x (.f32 x 4) (/.f32 -1/4 (.f32 x x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 1)
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(-.f32 (+.f32 0 (log.f32 (+.f32 (.f32 8 (pow.f32 x 3)) (/.f32 -1/8 (pow.f32 x 3))))) (log.f32 (+.f32 (.f32 4 (.f32 x x)) (.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x))))))
(-.f32 (log.f32 (fma.f32 8 (pow.f32 x 3) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (fma.f32 4 (.f32 x x) (.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x))))))
(-.f32 (log.f32 (fma.f32 8 (pow.f32 x 3) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (fma.f32 (.f32 x x) 4 (.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x))))))
(-.f32 (log.f32 (fma.f32 8 (pow.f32 x 3) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (fma.f32 x (.f32 x 4) (/.f32 (+.f32 (.f32 x 1) (/.f32 1/4 x)) x))))
(-.f32 (+.f32 0 (log.f32 (+.f32 (.f32 4 (.f32 x x)) (/.f32 (/.f32 -1/4 x) x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(-.f32 (log.f32 (fma.f32 4 (.f32 x x) (/.f32 -1/4 (.f32 x x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(-.f32 (log.f32 (fma.f32 (.f32 x x) 4 (/.f32 -1/4 (.f32 x x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(-.f32 (log.f32 (fma.f32 x (.f32 x 4) (/.f32 -1/4 (.f32 x x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) 1)
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(*.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 1)
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(*.f32 1 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(*.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (*.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))))
(.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2) (.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))
(.f32 (.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) (*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))))
(.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2) (.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))
(pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 1)
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(pow.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3)
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(pow.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3) 1/3)
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(sqrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(cbrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3))
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(expm1.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(exp.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))
(log1p.f32 (-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) 1))
(log1p.f32 (+.f32 (fma.f32 x 2 (/.f32 -1/2 x)) -1))
(log1p.f32 (+.f32 -1 (fma.f32 x 2 (/.f32 -1/2 x))))

localize15.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 7 computations (30% saved)

series54.0ms (1.7%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
39.0ms	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))

rewrite51.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1324×	`add-sqr-sqrt`
1300×	`*-un-lft-identity`
1214×	`add-cube-cbrt`
1202×	`add-cbrt-cube`
1188×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1645	11

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x)))) (log.f32 (cbrt.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) (log.f32 (sqrt.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 1/2) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (*.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 -1/2) (log.f32 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (/.f32 1/2 x))) 1)))) (#(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 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (log.f32 1/2) (log.f32 1/2)) (*.f32 (log.f32 x) (log.f32 x))) (+.f32 (log.f32 1/2) (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (*.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (*.f32 (log.f32 x) (log.f32 x)) (*.f32 (log.f32 1/2) (log.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (*.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (/.f32 1/2 x) 1))))))

simplify58.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1048×	`associate-+l-`
936×	`*-commutative`
920×	`associate-r`
914×	`associate-+r-`
718×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	571
1	172	571
2	641	571
3	3641	571
4	6376	571

Stop Event

1×	node limit

Counts

37 → 34

Calls

Call 1

Inputs
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(+.f32 0 (log.f32 (/.f32 1/2 x)))
(+.f32 (log.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x)))) (log.f32 (cbrt.f32 (/.f32 1/2 x))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(-.f32 (log.f32 1/2) (log.f32 x))
(-.f32 0 (log.f32 (*.f32 x 2)))
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 x)))
(-.f32 (+.f32 1 (log.f32 (/.f32 1/2 x))) 1)
(*.f32 (log.f32 (/.f32 1/2 x)) 1)
(*.f32 1 (log.f32 (/.f32 1/2 x)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))
(*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 x))))
(/.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 x) (log.f32 x))) (+.f32 (log.f32 1/2) (log.f32 x)))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 x) (log.f32 x)) (*.f32 (log.f32 1/2) (log.f32 x)))))
(pow.f32 (log.f32 (/.f32 1/2 x)) 1)
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) 2)
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 3)
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3) 1/3)
(neg.f32 (log.f32 (*.f32 x 2)))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 x))))
(exp.f32 (log.f32 (log.f32 (/.f32 1/2 x))))
(log1p.f32 (-.f32 (/.f32 1/2 x) 1))

Outputs
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 0 (log.f32 (/.f32 1/2 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x)))) (log.f32 (cbrt.f32 (/.f32 1/2 x))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(*.f32 2 (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(*.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) 2)
(-.f32 (log.f32 1/2) (log.f32 x))
(log.f32 (/.f32 1/2 x))
(-.f32 0 (log.f32 (*.f32 x 2)))
(neg.f32 (log.f32 (*.f32 x 2)))
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 x)))
(-.f32 (+.f32 1 (log.f32 (/.f32 1/2 x))) 1)
(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 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))
(log.f32 (/.f32 1/2 x))
(*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2))
(log.f32 (/.f32 1/2 x))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 x))))
(log.f32 (/.f32 1/2 x))
(/.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 x) (log.f32 x))) (+.f32 (log.f32 1/2) (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 x) (log.f32 x)) (*.f32 (log.f32 1/2) (log.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 1/2) (log.f32 1/2) (*.f32 (log.f32 x) (+.f32 (log.f32 1/2) (log.f32 x)))))
(pow.f32 (log.f32 (/.f32 1/2 x)) 1)
(log.f32 (/.f32 1/2 x))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) 2)
(log.f32 (/.f32 1/2 x))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 3)
(log.f32 (/.f32 1/2 x))
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3) 1/3)
(log.f32 (/.f32 1/2 x))
(neg.f32 (log.f32 (*.f32 x 2)))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))
(log.f32 (/.f32 1/2 x))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3))
(log.f32 (/.f32 1/2 x))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 x))))
(log.f32 (/.f32 1/2 x))
(exp.f32 (log.f32 (log.f32 (/.f32 1/2 x))))
(log.f32 (/.f32 1/2 x))
(log1p.f32 (-.f32 (/.f32 1/2 x) 1))
(log1p.f32 (+.f32 (/.f32 1/2 x) -1))
(log1p.f32 (+.f32 -1 (/.f32 1/2 x)))

localize20.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(+.f32 (log.f32 2) (log.f32 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series34.0ms (1.1%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	(+.f32 (log.f32 2) (log.f32 x))
10.0ms	x	@	inf	(+.f32 (log.f32 2) (log.f32 x))
10.0ms	x	@	-inf	(+.f32 (log.f32 2) (log.f32 x))

rewrite71.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`add-sqr-sqrt`
1608×	`*-un-lft-identity`
1504×	`add-cube-cbrt`
1488×	`add-cbrt-cube`
162×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	163	11
2	2022	11

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (log.f32 2) 2) (log.f32 (/.f32 2 x))) (/.f32 (pow.f32 (log.f32 x) 2) (log.f32 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (*.f32 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (*.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (*.f32 2 x))) (sqrt.f32 (log.f32 (*.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 2) (cbrt.f32 (log.f32 (*.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (/.f32 1 (log.f32 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (log.f32 (/.f32 2 x)) (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 2) (log.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))) (neg.f32 (log.f32 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (*.f32 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (*.f32 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (-.f32 (*.f32 2 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (*.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (*.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (*.f32 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (log.f32 2) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (log.f32 x) (log.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2))))))

simplify54.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1190×	`associate-r`
1080×	`associate-l`
892×	`associate-+r+`
592×	`associate-+l+`
574×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1429
1	233	1035
2	799	1015
3	4518	1015

Stop Event

1×	node limit

Counts

43 → 45

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 (exp.f32 (log1p.f32 (log.f32 (*.f32 2 x)))) 1)
(-.f32 (/.f32 (pow.f32 (log.f32 2) 2) (log.f32 (/.f32 2 x))) (/.f32 (pow.f32 (log.f32 x) 2) (log.f32 (/.f32 2 x))))
(.f32 (log.f32 (.f32 2 x)) 1)
(.f32 1 (log.f32 (.f32 2 x)))
(.f32 (sqrt.f32 (log.f32 (.f32 2 x))) (sqrt.f32 (log.f32 (*.f32 2 x))))
(.f32 (cbrt.f32 (log.f32 (.f32 2 x))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 2))
(.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 2 x))) 2) (cbrt.f32 (log.f32 (*.f32 2 x))))
(*.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (/.f32 1 (log.f32 (/.f32 2 x))))
(.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 2) 2) (.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
(/.f32 1 (/.f32 (log.f32 (/.f32 2 x)) (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))))
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x)))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 2) (log.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))) (neg.f32 (log.f32 (/.f32 2 x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
(pow.f32 (log.f32 (*.f32 2 x)) 1)
(pow.f32 (sqrt.f32 (log.f32 (*.f32 2 x))) 2)
(pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 3)
(pow.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 2))
(log.f32 (*.f32 2 x))
(log.f32 (+.f32 1 (-.f32 (*.f32 2 x) 1)))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 2 x))))
(exp.f32 (log.f32 (log.f32 (*.f32 2 x))))
(exp.f32 (.f32 (log.f32 (log.f32 (.f32 2 x))) 1))
(log1p.f32 (-.f32 (*.f32 2 x) 1))
(fma.f32 1 (log.f32 2) (log.f32 x))
(fma.f32 1 (log.f32 x) (log.f32 2))
(fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (log.f32 x))
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (log.f32 x))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2))

Outputs
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 2) (log.f32 -1)))
(-.f32 (+.f32 (log.f32 2) (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 2) (log.f32 -1)))
(-.f32 (+.f32 (log.f32 2) (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 2) (log.f32 -1)))
(-.f32 (+.f32 (log.f32 2) (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 2) (log.f32 -1)))
(-.f32 (+.f32 (log.f32 2) (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 2 x)))) 1)
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(-.f32 (/.f32 (pow.f32 (log.f32 2) 2) (log.f32 (/.f32 2 x))) (/.f32 (pow.f32 (log.f32 x) 2) (log.f32 (/.f32 2 x))))
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x)))
(.f32 (log.f32 (.f32 2 x)) (/.f32 (log.f32 (/.f32 2 x)) (log.f32 (/.f32 2 x))))
(.f32 (log.f32 (.f32 2 x)) 1)
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(.f32 1 (log.f32 (.f32 2 x)))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(.f32 (sqrt.f32 (log.f32 (.f32 2 x))) (sqrt.f32 (log.f32 (*.f32 2 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(.f32 (cbrt.f32 (log.f32 (.f32 2 x))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 2))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 2 x))) 2) (cbrt.f32 (log.f32 (*.f32 2 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(*.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (/.f32 1 (log.f32 (/.f32 2 x))))
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x)))
(.f32 (log.f32 (.f32 2 x)) (/.f32 (log.f32 (/.f32 2 x)) (log.f32 (/.f32 2 x))))
(.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 2) 2) (.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
(/.f32 (.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) 1) (+.f32 (pow.f32 (log.f32 2) 2) (.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)) (pow.f32 (log.f32 2) 2)))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 2)))
(/.f32 1 (/.f32 (log.f32 (/.f32 2 x)) (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))))
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x)))
(.f32 (log.f32 (.f32 2 x)) (/.f32 (log.f32 (/.f32 2 x)) (log.f32 (/.f32 2 x))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))))
(/.f32 (.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) 1) (+.f32 (pow.f32 (log.f32 2) 2) (.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)) (pow.f32 (log.f32 2) 2)))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 2)))
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x)))
(.f32 (log.f32 (.f32 2 x)) (/.f32 (log.f32 (/.f32 2 x)) (log.f32 (/.f32 2 x))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) 1) (+.f32 (pow.f32 (log.f32 2) 2) (.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)) (pow.f32 (log.f32 2) 2)))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 2)))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 2) (log.f32 x)))))
(/.f32 (.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) 1) (+.f32 (pow.f32 (log.f32 2) 2) (.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)) (pow.f32 (log.f32 2) 2)))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 2)))
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x)))
(.f32 (log.f32 (.f32 2 x)) (/.f32 (log.f32 (/.f32 2 x)) (log.f32 (/.f32 2 x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))) (neg.f32 (log.f32 (/.f32 2 x))))
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x)))
(.f32 (log.f32 (.f32 2 x)) (/.f32 (log.f32 (/.f32 2 x)) (log.f32 (/.f32 2 x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
(/.f32 (.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) 1) (+.f32 (pow.f32 (log.f32 2) 2) (.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)) (pow.f32 (log.f32 2) 2)))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 2)))
(pow.f32 (log.f32 (*.f32 2 x)) 1)
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(pow.f32 (sqrt.f32 (log.f32 (*.f32 2 x))) 2)
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 3)
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(pow.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3) 1/3)
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(sqrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 2))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(log.f32 (*.f32 2 x))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (+.f32 1 (-.f32 (*.f32 2 x) 1)))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 2 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(exp.f32 (log.f32 (log.f32 (*.f32 2 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(exp.f32 (.f32 (log.f32 (log.f32 (.f32 2 x))) 1))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(log1p.f32 (-.f32 (*.f32 2 x) 1))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(fma.f32 1 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(fma.f32 1 (log.f32 x) (log.f32 2))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (log.f32 x))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (log.f32 x))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))

eval85.0ms (2.7%)

Compiler: Compiled 2718 to 2019 computations (25.7% saved)

prune60.0ms (1.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	200	2	202
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	201	6	207

Error

Counts

207 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(+.f32 (log.f32 2) (log.f32 x))
▶	0.6b	(sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))
✓	0.8b	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	17.8b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	1.2b	(log.f32 (+.f32 x x))
	30.0b	0

Compiler

Compiled 40 to 31 computations (22.5% saved)

localize29.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(log.f32 (/.f32 1/2 x))
✓	0.1b	(sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))
✓	0.5b	(pow.f32 (log.f32 (/.f32 1/2 x)) 2)

Compiler

Compiled 24 to 19 computations (20.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`add-sqr-sqrt`
1578×	`*-un-lft-identity`
1474×	`add-cube-cbrt`
1462×	`add-cbrt-cube`
170×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	205	28
2	2066	28

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (/.f32 1/2 x)) (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (*.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4)) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (/.f32 1/2 x)) (sqrt.f32 (log.f32 (/.f32 1/2 x)))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2)) (cbrt.f32 (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 2 (log.f32 (log.f32 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (log.f32 (/.f32 1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2)) (log.f32 (cbrt.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) (log.f32 (sqrt.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 1/2) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (*.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 -1/2) (log.f32 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 1/2 x)))) 1)))) (#(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 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4)) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (log.f32 1/2) (log.f32 1/2)) (*.f32 (log.f32 x) (log.f32 x))) (+.f32 (log.f32 1/2) (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (*.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (*.f32 (log.f32 x) (log.f32 x)) (*.f32 (log.f32 1/2) (log.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (*.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (-.f32 (/.f32 1/2 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (log.f32 (/.f32 1/2 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (/.f32 1/2 x) 1))))))

simplify100.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1092×	`fma-def`
842×	`unswap-sqr`
748×	`+-commutative`
650×	`associate-+r+`
606×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1302
1	273	1270
2	1094	1262
3	3363	1262
4	7618	1262

Stop Event

1×	node limit

Counts

76 → 68

Calls

Call 1

Inputs
(pow.f32 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x))) 2)
(pow.f32 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x))) 2)
(pow.f32 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x))) 2)
(pow.f32 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x))) 2)
(pow.f32 (+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2)) 2)
(pow.f32 (+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2)) 2)
(pow.f32 (+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2)) 2)
(pow.f32 (+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2)) 2)
(pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)
(pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)
(pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)
(pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)
(+.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 (exp.f32 (log1p.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))) 1)
(*.f32 (log.f32 (/.f32 1/2 x)) (log.f32 (/.f32 1/2 x)))
(*.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2) 1)
(*.f32 1 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))
(.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (log.f32 (/.f32 1/2 x))))
(*.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4)) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4)))
(.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (log.f32 (/.f32 1/2 x))))
(.f32 (.f32 (log.f32 (/.f32 1/2 x)) (sqrt.f32 (log.f32 (/.f32 1/2 x)))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))
(.f32 (.f32 (log.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2)) (cbrt.f32 (log.f32 (/.f32 1/2 x))))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4))
(log.f32 (exp.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2)))
(exp.f32 (*.f32 2 (log.f32 (log.f32 (/.f32 1/2 x)))))
(exp.f32 (.f32 (.f32 2 (log.f32 (log.f32 (/.f32 1/2 x)))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2)) (log.f32 (cbrt.f32 (/.f32 1/2 x))))
(+.f32 0 (log.f32 (/.f32 1/2 x)))
(+.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(-.f32 (log.f32 1/2) (log.f32 x))
(-.f32 0 (log.f32 (*.f32 x 2)))
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 x)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 1/2 x)))) 1)
(*.f32 (log.f32 (/.f32 1/2 x)) 1)
(*.f32 1 (log.f32 (/.f32 1/2 x)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))
(*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 x))))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2)))
(*.f32 (pow.f32 1 1/2) (log.f32 (/.f32 1/2 x)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4)) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) 1/2))
(/.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 x) (log.f32 x))) (+.f32 (log.f32 1/2) (log.f32 x)))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 x) (log.f32 x)) (*.f32 (log.f32 1/2) (log.f32 x)))))
(pow.f32 (log.f32 (/.f32 1/2 x)) 1)
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2) 1/2)
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) 2)
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 3)
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3) 1/3)
(neg.f32 (log.f32 (*.f32 x 2)))
(fabs.f32 (log.f32 (/.f32 1/2 x)))
(log.f32 (/.f32 1/2 x))
(log.f32 (+.f32 1 (-.f32 (/.f32 1/2 x) 1)))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 x))))
(exp.f32 (log.f32 (log.f32 (/.f32 1/2 x))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 1/2 x))) 1))
(exp.f32 (.f32 (.f32 2 (log.f32 (log.f32 (/.f32 1/2 x)))) 1/2))
(log1p.f32 (-.f32 (/.f32 1/2 x) 1))

Outputs
(pow.f32 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x))) 2)
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(pow.f32 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x))) 2)
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(pow.f32 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x))) 2)
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(pow.f32 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x))) 2)
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(pow.f32 (+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2)) 2)
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(pow.f32 (+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2)) 2)
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(pow.f32 (+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2)) 2)
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(pow.f32 (+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2)) 2)
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)
(pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)
(pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)
(pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(log.f32 (/.f32 1/2 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 (exp.f32 (log1p.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))) 1)
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(*.f32 (log.f32 (/.f32 1/2 x)) (log.f32 (/.f32 1/2 x)))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(*.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2) 1)
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(*.f32 1 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (log.f32 (/.f32 1/2 x))))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(*.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4)) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4)))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (log.f32 (/.f32 1/2 x))))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(.f32 (.f32 (log.f32 (/.f32 1/2 x)) (sqrt.f32 (log.f32 (/.f32 1/2 x)))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(.f32 (.f32 (log.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2)) (cbrt.f32 (log.f32 (/.f32 1/2 x))))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(log.f32 (exp.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2)))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(cbrt.f32 (pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2) 3))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(expm1.f32 (log1p.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2)))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(exp.f32 (*.f32 2 (log.f32 (log.f32 (/.f32 1/2 x)))))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(exp.f32 (.f32 (.f32 2 (log.f32 (log.f32 (/.f32 1/2 x)))) 1))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(log1p.f32 (expm1.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2)))
(pow.f32 (log.f32 (/.f32 1/2 x)) 2)
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2)) (log.f32 (cbrt.f32 (/.f32 1/2 x))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (/.f32 1/2 x)))) (log.f32 (cbrt.f32 (/.f32 1/2 x))))
(*.f32 3 (log.f32 (cbrt.f32 (/.f32 1/2 x))))
(+.f32 0 (log.f32 (/.f32 1/2 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(*.f32 2 (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(-.f32 (log.f32 1/2) (log.f32 x))
(log.f32 (/.f32 1/2 x))
(-.f32 0 (log.f32 (*.f32 x 2)))
(neg.f32 (log.f32 (*.f32 x 2)))
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 x)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 1/2 x)))) 1)
(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 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))
(log.f32 (/.f32 1/2 x))
(*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2))
(log.f32 (/.f32 1/2 x))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 x))))
(log.f32 (/.f32 1/2 x))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4))) (fabs.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))))
(*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4))))
(*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 4)))
(*.f32 (pow.f32 1 1/2) (log.f32 (/.f32 1/2 x)))
(log.f32 (/.f32 1/2 x))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4)) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) 1/2))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4))) (fabs.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))))
(*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 4))))
(*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 4)))
(/.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 x) (log.f32 x))) (+.f32 (log.f32 1/2) (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 x) (log.f32 x)) (*.f32 (log.f32 1/2) (log.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 1/2) (log.f32 1/2) (*.f32 (log.f32 x) (+.f32 (log.f32 1/2) (log.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (log.f32 x) (*.f32 (log.f32 1/2) (+.f32 (log.f32 1/2) (log.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 1/2) (+.f32 (log.f32 1/2) (log.f32 x)) (*.f32 (log.f32 x) (log.f32 x))))
(pow.f32 (log.f32 (/.f32 1/2 x)) 1)
(log.f32 (/.f32 1/2 x))
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2) 1/2)
(log.f32 (/.f32 1/2 x))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) 2)
(log.f32 (/.f32 1/2 x))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 3)
(log.f32 (/.f32 1/2 x))
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3) 1/3)
(log.f32 (/.f32 1/2 x))
(neg.f32 (log.f32 (*.f32 x 2)))
(fabs.f32 (log.f32 (/.f32 1/2 x)))
(log.f32 (/.f32 1/2 x))
(log.f32 (/.f32 1/2 x))
(log.f32 (+.f32 1 (-.f32 (/.f32 1/2 x) 1)))
(log.f32 (/.f32 1/2 x))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3))
(log.f32 (/.f32 1/2 x))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 x))))
(log.f32 (/.f32 1/2 x))
(exp.f32 (log.f32 (log.f32 (/.f32 1/2 x))))
(log.f32 (/.f32 1/2 x))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 1/2 x))) 1))
(log.f32 (/.f32 1/2 x))
(exp.f32 (.f32 (.f32 2 (log.f32 (log.f32 (/.f32 1/2 x)))) 1/2))
(log.f32 (/.f32 1/2 x))
(log1p.f32 (-.f32 (/.f32 1/2 x) 1))
(log.f32 (/.f32 1/2 x))

eval26.0ms (0.9%)

Compiler: Compiled 1118 to 927 computations (17.1% saved)

prune42.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	1	1
Picked	1	0	1
Done	1	3	4
Total	103	5	108

Error

Counts

108 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	17.8b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	1.2b	(log.f32 (+.f32 x x))
▶	0.6b	(fabs.f32 (log.f32 (/.f32 1/2 x)))
	30.0b	0

Compiler

Compiled 32 to 24 computations (25% saved)

localize20.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval8.0ms (0.3%)

Compiler: Compiled 328 to 268 computations (18.3% saved)

prune6.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	34	5	39

Error

Counts

39 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	17.8b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	1.2b	(log.f32 (+.f32 x x))
✓	0.6b	(fabs.f32 (log.f32 (/.f32 1/2 x)))
	30.0b	0

Compiler

Compiled 32 to 24 computations (25% saved)

regimes17.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
5.0ms	x
4.0ms	(log.f32 (+.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 65 to 47 computations (27.7% saved)

regimes8.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes4.0ms (0.1%)

Accuracy

Total -29.9b remaining (-2534.3%)

Threshold costs -29.9b (-2534.3%)

Counts

3 → 1

Calls

Call 1

Inputs
0
(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
1.2b	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg`
4×	`+-commutative`
4×	`*-commutative`
2×	`neg-mul-1`
2×	`distribute-neg-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	18	50
2	25	50
3	27	50
4	28	50

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

soundness0.0ms (0%)

end20.0ms (0.6%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

Details

analyze0.0ms (0%)

sample1.2s (39.2%)

preprocess12.0ms (0.4%)

simplify158.0ms (5.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize46.0ms (1.5%)

series3.0ms (0.1%)

rewrite91.0ms (2.9%)

simplify116.0ms (3.7%)

eval178.0ms (5.7%)

prune73.0ms (2.3%)

localize11.0ms (0.4%)

series76.0ms (2.4%)

rewrite50.0ms (1.6%)

simplify54.0ms (1.7%)

localize31.0ms (1%)

series1.0ms (0%)

rewrite87.0ms (2.8%)

simplify59.0ms (1.9%)

localize15.0ms (0.5%)

series54.0ms (1.7%)

rewrite51.0ms (1.6%)

simplify58.0ms (1.9%)

localize20.0ms (0.6%)

series34.0ms (1.1%)

rewrite71.0ms (2.3%)

simplify54.0ms (1.7%)

eval85.0ms (2.7%)

prune60.0ms (1.9%)

localize29.0ms (0.9%)

series1.0ms (0%)

rewrite57.0ms (1.8%)

simplify100.0ms (3.2%)

eval26.0ms (0.9%)

prune42.0ms (1.4%)

localize20.0ms (0.6%)

eval8.0ms (0.3%)

prune6.0ms (0.2%)

regimes17.0ms (0.5%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

simplify7.0ms (0.2%)

soundness0.0ms (0%)

end20.0ms (0.6%)

Profiling