Details

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample2.1s (30.9%)

Results

2.1s

8256×

body

256

valid

Bogosity

preprocess58.0ms (0.8%)

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)

simplify284.0ms (4.2%)

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)

prune2.0ms (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

46.5%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize53.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	100.0%	(-.f32 (*.f32 x x) 1)
✓	99.9%	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
✓	99.2%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	53.9%	(sqrt.f32 (-.f32 (*.f32 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-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))

rewrite222.0ms (3.3%)

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	64
1	213	64
2	2863	64

Stop Event

1×	node limit

Counts

4 → 250

Calls

Call 1

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

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

simplify302.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

786×	`associate-r`
664×	`associate-l`
660×	`fma-def`
576×	`associate-/l*`
542×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	676	11578
1	1768	10740
2	7720	10740

Stop Event

1×	node limit

Counts

298 → 437

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))))))
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(/.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 (.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 (.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 (.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 (-.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 (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 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 1 (*.f32 x (-.f32 x x))) 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 (+.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 (+.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)))
(+.f32 (*.f32 x x) -1)
(+.f32 (+.f32 x -1) (*.f32 (+.f32 x -1) x))
(+.f32 (+.f32 x -1) (*.f32 x (+.f32 x -1)))
(+.f32 -1 (*.f32 x x))
(+.f32 (.f32 (+.f32 x 1) x) (.f32 (+.f32 x 1) -1))
(+.f32 (*.f32 (+.f32 x -1) x) (+.f32 x -1))
(+.f32 (*.f32 x (+.f32 x 1)) (neg.f32 (+.f32 x 1)))
(+.f32 (*.f32 x (+.f32 x -1)) (+.f32 x -1))
(*.f32 1 (fma.f32 x x -1))
(*.f32 (fma.f32 x x -1) 1)
(*.f32 (sqrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1)))
(.f32 (pow.f32 (fma.f32 x x -1) 1/4) (.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 (fma.f32 x x -1) 1/4)))
(.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (.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 (pow.f32 (fma.f32 x x -1) 2)))
(.f32 (cbrt.f32 (fma.f32 x x -1)) (.f32 (sqrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (cbrt.f32 (fma.f32 x x -1)))
(*.f32 (+.f32 x 1) (+.f32 x -1))
(*.f32 (+.f32 x -1) (+.f32 x 1))
(*.f32 (+.f32 (pow.f32 x 4) -1) (/.f32 1 (fma.f32 x x 1)))
(*.f32 (+.f32 -1 (pow.f32 x 6)) (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(.f32 (.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 (fma.f32 x x -1) 1/4)) (pow.f32 (fma.f32 x x -1) 1/4))
(.f32 (.f32 (sqrt.f32 (fma.f32 x x -1)) (cbrt.f32 (fma.f32 x x -1))) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))
(.f32 (.f32 (sqrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x -1)))
(*.f32 (/.f32 1 (fma.f32 x x 1)) (+.f32 (pow.f32 x 4) -1))
(*.f32 (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (+.f32 -1 (pow.f32 x 6)))
(*.f32 (/.f32 (+.f32 (pow.f32 x 4) -1) (+.f32 (pow.f32 x 4) -1)) (fma.f32 x x -1))
(.f32 (/.f32 (+.f32 (pow.f32 x 4) -1) (-.f32 1 (pow.f32 x 4))) (-.f32 1 (.f32 x x)))
(.f32 (/.f32 (+.f32 (pow.f32 x 4) -1) (+.f32 1 (pow.f32 x 6))) (+.f32 1 (-.f32 (pow.f32 x 4) (.f32 x x))))
(.f32 (/.f32 (+.f32 -1 (pow.f32 x 6)) (-.f32 (.f32 (.f32 x x) (pow.f32 x 6)) (.f32 (fma.f32 x x 1) (fma.f32 x x 1)))) (-.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(.f32 (/.f32 (+.f32 -1 (pow.f32 x 6)) (+.f32 (pow.f32 (pow.f32 x 4) 3) (pow.f32 (fma.f32 x x 1) 3))) (+.f32 (.f32 (.f32 x x) (pow.f32 x 6)) (.f32 (fma.f32 x x 1) (-.f32 (fma.f32 x x 1) (pow.f32 x 4)))))
(.f32 (.f32 (pow.f32 1 1/2) (pow.f32 1 1/2)) (fma.f32 x x -1))
(.f32 (.f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) 1/2) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) 1/2)) (*.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2)))
(.f32 (.f32 (pow.f32 (+.f32 x 1) 1/2) (pow.f32 (+.f32 x 1) 1/2)) (*.f32 (pow.f32 (+.f32 x -1) 1/2) (pow.f32 (+.f32 x -1) 1/2)))
(/.f32 1 (/.f32 1 (fma.f32 x x -1)))
(/.f32 1 (/.f32 (-.f32 (+.f32 1 (pow.f32 x 4)) (.f32 (.f32 x x) -1)) (+.f32 -1 (pow.f32 x 6))))
(/.f32 (fma.f32 x x -1) 1)
(/.f32 (+.f32 (pow.f32 x 4) -1) (fma.f32 x x 1))
(/.f32 (fma.f32 x x 1) (/.f32 (fma.f32 x x 1) (fma.f32 x x -1)))
(/.f32 (+.f32 -1 (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(/.f32 (+.f32 -1 (pow.f32 x 6)) (-.f32 (+.f32 1 (pow.f32 x 4)) (.f32 (.f32 x x) -1)))
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) (/.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (sqrt.f32 (+.f32 -1 (pow.f32 x 6)))))
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) (/.f32 (-.f32 (+.f32 1 (pow.f32 x 4)) (.f32 (.f32 x x) -1)) (sqrt.f32 (+.f32 -1 (pow.f32 x 6)))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) (/.f32 (fma.f32 x x 1) (sqrt.f32 (+.f32 (pow.f32 x 4) -1))))
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (cbrt.f32 (+.f32 -1 (pow.f32 x 6)))) (/.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (cbrt.f32 (+.f32 -1 (pow.f32 x 6)))))
(/.f32 (.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (cbrt.f32 (+.f32 -1 (pow.f32 x 6)))) (/.f32 (-.f32 (+.f32 1 (pow.f32 x 4)) (.f32 (*.f32 x x) -1)) (cbrt.f32 (+.f32 -1 (pow.f32 x 6)))))
(/.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) -1)) (cbrt.f32 (+.f32 (pow.f32 x 4) -1))) (/.f32 (fma.f32 x x 1) (cbrt.f32 (+.f32 (pow.f32 x 4) -1))))
(/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) (+.f32 x 1))
(/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x -1)) (+.f32 x -1))
(/.f32 (-.f32 (.f32 (pow.f32 x 6) (pow.f32 x 6)) 1) (.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 1 (pow.f32 x 6))))
(/.f32 (-.f32 (.f32 (pow.f32 x 6) (pow.f32 x 6)) 1) (.f32 (-.f32 (+.f32 1 (pow.f32 x 4)) (.f32 (.f32 x x) -1)) (+.f32 1 (pow.f32 x 6))))
(/.f32 (-.f32 (.f32 (.f32 x x) (pow.f32 x 6)) 1) (*.f32 (fma.f32 x x 1) (+.f32 1 (pow.f32 x 4))))
(/.f32 (-.f32 (pow.f32 (pow.f32 x 6) 3) 1) (.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (.f32 (pow.f32 x 6) (pow.f32 x 6)) (+.f32 1 (pow.f32 x 6)))))
(/.f32 (-.f32 (pow.f32 (pow.f32 x 6) 3) 1) (.f32 (-.f32 (+.f32 1 (pow.f32 x 4)) (.f32 (.f32 x x) -1)) (+.f32 (.f32 (pow.f32 x 6) (pow.f32 x 6)) (+.f32 1 (pow.f32 x 6)))))
(/.f32 (-.f32 (pow.f32 (pow.f32 x 4) 3) 1) (.f32 (fma.f32 x x 1) (+.f32 (.f32 (*.f32 x x) (pow.f32 x 6)) (+.f32 1 (pow.f32 x 4)))))
(/.f32 (+.f32 (neg.f32 (pow.f32 x 4)) 1) (neg.f32 (fma.f32 x x 1)))
(/.f32 (+.f32 (neg.f32 (pow.f32 x 6)) 1) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (sqrt.f32 (+.f32 -1 (pow.f32 x 6)))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (sqrt.f32 (+.f32 (pow.f32 x 4) -1))) (sqrt.f32 (fma.f32 x x 1)))
(/.f32 (*.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (cbrt.f32 (+.f32 -1 (pow.f32 x 6)))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (*.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (cbrt.f32 (+.f32 (pow.f32 x 4) -1))) (cbrt.f32 (fma.f32 x x 1)))
(/.f32 (*.f32 (+.f32 x 1) (-.f32 (pow.f32 x 3) 1)) (+.f32 (fma.f32 x x 1) x))
(/.f32 (*.f32 (+.f32 x -1) (+.f32 1 (pow.f32 x 3))) (-.f32 (fma.f32 x x 1) x))
(/.f32 (*.f32 (+.f32 (neg.f32 (pow.f32 x 4)) 1) 1) (neg.f32 (fma.f32 x x 1)))
(/.f32 (*.f32 (+.f32 (neg.f32 (pow.f32 x 6)) 1) 1) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x 1)))
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) -1)) (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (cbrt.f32 (fma.f32 x x 1)))
(/.f32 (.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (.f32 (sqrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) -1)) (.f32 (sqrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))) (cbrt.f32 (fma.f32 x x 1)))
(/.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) (+.f32 x -1)) (-.f32 (fma.f32 x x 1) x))
(/.f32 (*.f32 (-.f32 (pow.f32 x 3) 1) (+.f32 x 1)) (+.f32 (fma.f32 x x 1) x))
(/.f32 (.f32 (-.f32 (.f32 (*.f32 x x) (pow.f32 x 6)) 1) (/.f32 1 (fma.f32 x x 1))) (+.f32 1 (pow.f32 x 4)))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 x 4) 3) 1) (/.f32 1 (fma.f32 x x 1))) (+.f32 (.f32 (*.f32 x x) (pow.f32 x 6)) (+.f32 1 (pow.f32 x 4))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 x 6) (pow.f32 x 6)) 1) (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (+.f32 1 (pow.f32 x 6)))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 x 6) 3) 1) (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (+.f32 (.f32 (pow.f32 x 6) (pow.f32 x 6)) (+.f32 1 (pow.f32 x 6))))
(/.f32 (/.f32 (+.f32 (pow.f32 x 4) -1) 1) (fma.f32 x x 1))
(/.f32 (/.f32 (+.f32 (pow.f32 x 4) -1) (sqrt.f32 (fma.f32 x x 1))) (sqrt.f32 (fma.f32 x x 1)))
(/.f32 (/.f32 (+.f32 (pow.f32 x 4) -1) (*.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (fma.f32 x x 1)))) (cbrt.f32 (fma.f32 x x 1)))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 x 6)) 1) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 x 6)) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 x 6)) (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(pow.f32 (fma.f32 x x -1) 1)
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 2)
(pow.f32 (cbrt.f32 (fma.f32 x x -1)) 3)
(pow.f32 (pow.f32 (fma.f32 x x -1) 2) 1/2)
(pow.f32 (pow.f32 (fma.f32 x x -1) 3) 1/3)
(neg.f32 (/.f32 (+.f32 (pow.f32 x 4) -1) (neg.f32 (fma.f32 x x 1))))
(neg.f32 (/.f32 (+.f32 -1 (pow.f32 x 6)) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))))
(sqrt.f32 (pow.f32 (fma.f32 x x -1) 2))
(log.f32 (exp.f32 (fma.f32 x x -1)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 x x -1))))
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3))
(expm1.f32 (*.f32 (log.f32 x) 2))
(exp.f32 (log.f32 (fma.f32 x x -1)))
(log1p.f32 (expm1.f32 (fma.f32 x x -1)))
(fma.f32 x x -1)
(fma.f32 1 (*.f32 x x) -1)
(fma.f32 (cbrt.f32 (pow.f32 x 4)) (pow.f32 (cbrt.f32 x) 2) -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)))))
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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))))
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(-.f32 x (+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5)))))
(-.f32 x (+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/2 x) (/.f32 1/16 (pow.f32 x 5)))))
(*.f32 -1 x)
(neg.f32 x)
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(fma.f32 -1 x (/.f32 1/2 x))
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(log.f32 (sqrt.f32 -1))
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(sqrt.f32 -1)
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(*.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 (.f32 2 x) (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))))
(-.f32 (*.f32 x 2) (+.f32 (/.f32 1/2 x) (+.f32 (/.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)
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-1
(-.f32 (pow.f32 x 2) 1)
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(-.f32 (pow.f32 x 2) 1)
(fma.f32 x x -1)
(-.f32 (pow.f32 x 2) 1)
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(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1)
(sqrt.f32 (fma.f32 x x -1))
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(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)))
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(pow.f32 (fma.f32 x x -1) 1/2)
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(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 1)
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(sqrt.f32 (fma.f32 x x -1))
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(pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 1/3)
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(log.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))
(sqrt.f32 (fma.f32 x x -1))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))))
(sqrt.f32 (fma.f32 x x -1))
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1))))
(sqrt.f32 (fma.f32 x x -1))
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))))
(sqrt.f32 (fma.f32 x x -1))
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(/.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (/.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (cbrt.f32 (+.f32 -1 (pow.f32 x 6)))))
(/.f32 (*.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (cbrt.f32 (+.f32 (pow.f32 x 4) -1))) (cbrt.f32 (fma.f32 x x 1)))
(/.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (/.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (+.f32 -1 (pow.f32 x 4)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (cbrt.f32 (fma.f32 x x 1))) (cbrt.f32 (+.f32 -1 (pow.f32 x 4))))
(/.f32 (*.f32 (+.f32 x 1) (-.f32 (pow.f32 x 3) 1)) (+.f32 (fma.f32 x x 1) x))
(/.f32 (+.f32 x 1) (/.f32 (+.f32 x (fma.f32 x x 1)) (+.f32 (pow.f32 x 3) -1)))
(*.f32 (/.f32 (+.f32 x 1) (+.f32 x (fma.f32 x x 1))) (+.f32 -1 (pow.f32 x 3)))
(/.f32 (*.f32 (+.f32 x -1) (+.f32 1 (pow.f32 x 3))) (-.f32 (fma.f32 x x 1) x))
(/.f32 (+.f32 -1 x) (/.f32 (-.f32 (fma.f32 x x 1) x) (+.f32 1 (pow.f32 x 3))))
(*.f32 (/.f32 (+.f32 -1 x) (-.f32 (fma.f32 x x 1) x)) (+.f32 1 (pow.f32 x 3)))
(/.f32 (*.f32 (+.f32 (neg.f32 (pow.f32 x 4)) 1) 1) (neg.f32 (fma.f32 x x 1)))
(/.f32 (-.f32 1 (pow.f32 x 4)) (neg.f32 (fma.f32 x x 1)))
(/.f32 (*.f32 (+.f32 (neg.f32 (pow.f32 x 6)) 1) 1) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (+.f32 1 (neg.f32 (pow.f32 x 6))) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (-.f32 1 (pow.f32 x 6)) (-.f32 (neg.f32 (fma.f32 x x 1)) (pow.f32 x 4)))
(/.f32 (*.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (sqrt.f32 (fma.f32 x x -1)) (/.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (sqrt.f32 (+.f32 -1 (pow.f32 x 6)))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (sqrt.f32 (fma.f32 x x -1)))
(/.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x 1)))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (sqrt.f32 (+.f32 -1 (pow.f32 x 4)))) (sqrt.f32 (fma.f32 x x 1)))
(*.f32 (/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 4))) (sqrt.f32 (fma.f32 x x 1))) (sqrt.f32 (fma.f32 x x -1)))
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (/.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))))
(/.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (/.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (cbrt.f32 (+.f32 -1 (pow.f32 x 6)))))
(/.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) -1)) (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (cbrt.f32 (fma.f32 x x 1)))
(/.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (/.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (+.f32 -1 (pow.f32 x 4)))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (cbrt.f32 (fma.f32 x x 1))) (cbrt.f32 (+.f32 -1 (pow.f32 x 4))))
(/.f32 (.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (.f32 (sqrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(*.f32 (/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 4))
(/.f32 (.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) -1)) (.f32 (sqrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))) (cbrt.f32 (fma.f32 x x 1)))
(/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 4))) (/.f32 (cbrt.f32 (fma.f32 x x 1)) (*.f32 (sqrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 (/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 4))) (cbrt.f32 (fma.f32 x x 1))) (pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 4))
(/.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) (+.f32 x -1)) (-.f32 (fma.f32 x x 1) x))
(/.f32 (+.f32 -1 x) (/.f32 (-.f32 (fma.f32 x x 1) x) (+.f32 1 (pow.f32 x 3))))
(*.f32 (/.f32 (+.f32 -1 x) (-.f32 (fma.f32 x x 1) x)) (+.f32 1 (pow.f32 x 3)))
(/.f32 (*.f32 (-.f32 (pow.f32 x 3) 1) (+.f32 x 1)) (+.f32 (fma.f32 x x 1) x))
(/.f32 (+.f32 x 1) (/.f32 (+.f32 x (fma.f32 x x 1)) (+.f32 (pow.f32 x 3) -1)))
(*.f32 (/.f32 (+.f32 x 1) (+.f32 x (fma.f32 x x 1))) (+.f32 -1 (pow.f32 x 3)))
(/.f32 (.f32 (-.f32 (.f32 (*.f32 x x) (pow.f32 x 6)) 1) (/.f32 1 (fma.f32 x x 1))) (+.f32 1 (pow.f32 x 4)))
(/.f32 (fma.f32 (.f32 x x) (pow.f32 x 6) -1) (.f32 (fma.f32 x x 1) (+.f32 (pow.f32 x 4) 1)))
(/.f32 (+.f32 -1 (pow.f32 x 8)) (*.f32 (fma.f32 x x 1) (+.f32 (pow.f32 x 4) 1)))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 x 4) 3) 1) (/.f32 1 (fma.f32 x x 1))) (+.f32 (.f32 (*.f32 x x) (pow.f32 x 6)) (+.f32 1 (pow.f32 x 4))))
(/.f32 (+.f32 (pow.f32 (pow.f32 x 4) 3) -1) (.f32 (fma.f32 x x 1) (fma.f32 (.f32 x x) (pow.f32 x 6) (+.f32 (pow.f32 x 4) 1))))
(/.f32 (+.f32 -1 (pow.f32 x 12)) (*.f32 (fma.f32 x x 1) (+.f32 1 (+.f32 (pow.f32 x 4) (pow.f32 x 8)))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 x 6) (pow.f32 x 6)) 1) (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (+.f32 1 (pow.f32 x 6)))
(/.f32 (+.f32 (pow.f32 x 12) -1) (*.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (pow.f32 x 6) 1)))
(/.f32 (+.f32 -1 (pow.f32 x 12)) (*.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (pow.f32 x 6) 1)))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 x 6) 3) 1) (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (+.f32 (.f32 (pow.f32 x 6) (pow.f32 x 6)) (+.f32 1 (pow.f32 x 6))))
(/.f32 (+.f32 (pow.f32 (pow.f32 x 6) 3) -1) (*.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (+.f32 (pow.f32 x 6) 1) (pow.f32 x 12))))
(/.f32 (+.f32 -1 (pow.f32 (pow.f32 x 6) 3)) (*.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (pow.f32 x 6) (+.f32 1 (pow.f32 x 12)))))
(/.f32 (/.f32 (+.f32 (pow.f32 x 4) -1) 1) (fma.f32 x x 1))
(fma.f32 x x -1)
(/.f32 (/.f32 (+.f32 (pow.f32 x 4) -1) (sqrt.f32 (fma.f32 x x 1))) (sqrt.f32 (fma.f32 x x 1)))
(fma.f32 x x -1)
(/.f32 (/.f32 (+.f32 (pow.f32 x 4) -1) (*.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (fma.f32 x x 1)))) (cbrt.f32 (fma.f32 x x 1)))
(fma.f32 x x -1)
(/.f32 (/.f32 (+.f32 -1 (pow.f32 x 6)) 1) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(/.f32 (*.f32 (+.f32 -1 (pow.f32 x 6)) 1) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(/.f32 (+.f32 -1 (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 x 6)) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (*.f32 (+.f32 -1 (pow.f32 x 6)) 1) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(/.f32 (+.f32 -1 (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 x 6)) (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (*.f32 (+.f32 -1 (pow.f32 x 6)) 1) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(/.f32 (+.f32 -1 (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(pow.f32 (fma.f32 x x -1) 1)
(fma.f32 x x -1)
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 2)
(fma.f32 x x -1)
(pow.f32 (cbrt.f32 (fma.f32 x x -1)) 3)
(fma.f32 x x -1)
(pow.f32 (pow.f32 (fma.f32 x x -1) 2) 1/2)
(sqrt.f32 (pow.f32 (fma.f32 x x -1) 2))
(fabs.f32 (fma.f32 x x -1))
(pow.f32 (pow.f32 (fma.f32 x x -1) 3) 1/3)
(fma.f32 x x -1)
(neg.f32 (/.f32 (+.f32 (pow.f32 x 4) -1) (neg.f32 (fma.f32 x x 1))))
(/.f32 (-.f32 1 (pow.f32 x 4)) (neg.f32 (fma.f32 x x 1)))
(neg.f32 (/.f32 (+.f32 -1 (pow.f32 x 6)) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))))
(/.f32 (+.f32 1 (neg.f32 (pow.f32 x 6))) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (-.f32 1 (pow.f32 x 6)) (-.f32 (neg.f32 (fma.f32 x x 1)) (pow.f32 x 4)))
(sqrt.f32 (pow.f32 (fma.f32 x x -1) 2))
(fabs.f32 (fma.f32 x x -1))
(log.f32 (exp.f32 (fma.f32 x x -1)))
(fma.f32 x x -1)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 x x -1))))
(fma.f32 x x -1)
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3))
(fma.f32 x x -1)
(expm1.f32 (*.f32 (log.f32 x) 2))
(expm1.f32 (*.f32 2 (log.f32 x)))
(exp.f32 (log.f32 (fma.f32 x x -1)))
(fma.f32 x x -1)
(log1p.f32 (expm1.f32 (fma.f32 x x -1)))
(fma.f32 x x -1)
(fma.f32 x x -1)
(fma.f32 1 (*.f32 x x) -1)
(fma.f32 x x -1)
(fma.f32 (cbrt.f32 (pow.f32 x 4)) (pow.f32 (cbrt.f32 x) 2) -1)

eval482.0ms (7.1%)

Compiler: Compiled 8981 to 6422 computations (28.5% saved)

prune119.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	431	6	437
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	431	7	438

Error

100.0%

Counts

438 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	97.2%	(+.f32 (log.f32 2) (log.f32 x))
▶	3.0%	(log.f32 (/.f32 1/2 x))
▶	98.5%	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
	46.4%	(log.f32 (+.f32 x (pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2)))
▶	98.5%	(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
✓	46.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
▶	97.3%	(log.f32 (+.f32 x x))

Compiler

Compiled 102 to 75 computations (26.5% saved)

localize126.0ms (1.9%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	99.2%	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))

Compiler

Compiled 25 to 18 computations (28% saved)

series2.0ms (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)))
1.0ms	x	@	-inf	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
1.0ms	x	@	inf	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))

rewrite109.0ms (1.6%)

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))))))

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))))))

simplify138.0ms (2%)

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))))

localize21.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	99.3%	(log.f32 (+.f32 x x))

Compiler

Compiled 9 to 3 computations (66.7% saved)

series80.0ms (1.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
37.0ms	x	@	0	(log.f32 (+.f32 x x))
32.0ms	x	@	-inf	(log.f32 (+.f32 x x))
11.0ms	x	@	inf	(log.f32 (+.f32 x x))

rewrite83.0ms (1.2%)

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))))))

simplify102.0ms (1.5%)

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))

localize21.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	100.0%	(log.f32 (/.f32 1/2 x))

Compiler

Compiled 10 to 7 computations (30% saved)

series81.0ms (1.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
51.0ms	x	@	-inf	(log.f32 (/.f32 1/2 x))
20.0ms	x	@	0	(log.f32 (/.f32 1/2 x))
10.0ms	x	@	inf	(log.f32 (/.f32 1/2 x))

rewrite93.0ms (1.4%)

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))))))

simplify92.0ms (1.4%)

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)))

localize44.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	99.9%	(+.f32 x (-.f32 x (/.f32 1/2 x)))
✓	99.2%	(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))

Compiler

Compiled 26 to 16 computations (38.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite191.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`associate-*r/`
956×	`*-commutative`
956×	`associate-*l/`
762×	`distribute-lft-in`
582×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	204	42
2	2870	42

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs

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

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

simplify242.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1696×	`associate-*r/`
900×	`+-commutative`
568×	`associate--r+`
496×	`associate-+l-`
474×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	7208
1	1127	6192
2	4945	6136

Stop Event

1×	node limit

Counts

148 → 237

Calls

Call 1

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

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

localize30.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	99.0%	(+.f32 (log.f32 2) (log.f32 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series60.0ms (0.9%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	(+.f32 (log.f32 2) (log.f32 x))
22.0ms	x	@	-inf	(+.f32 (log.f32 2) (log.f32 x))
9.0ms	x	@	inf	(+.f32 (log.f32 2) (log.f32 x))

rewrite106.0ms (1.6%)

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))))))

simplify102.0ms (1.5%)

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))

eval430.0ms (6.3%)

Compiler: Compiled 8654 to 5904 computations (31.8% saved)

prune155.0ms (2.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	437	2	439
Fresh	1	0	1
Picked	0	1	1
Done	1	4	5
Total	439	7	446

Error

100.0%

Counts

446 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	97.2%	(-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1)
✓	97.2%	(+.f32 (log.f32 2) (log.f32 x))
✓	98.5%	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	98.5%	(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
✓	46.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	97.3%	(log.f32 (+.f32 x x))
	6.1%	0

Compiler

Compiled 50 to 37 computations (26% saved)

localize104.0ms (1.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	99.9%	(+.f32 1 (log.f32 (+.f32 x x)))
✓	99.9%	(-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1)
	99.3%	(log.f32 (+.f32 x x))

Compiler

Compiled 24 to 10 computations (58.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite140.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`add-sqr-sqrt`
1858×	`*-un-lft-identity`
1744×	`add-cube-cbrt`
1732×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	197	28
2	2776	28

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

Outputs

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

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

simplify138.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1196×	`times-frac`
844×	`associate--r+`
718×	`unswap-sqr`
690×	`associate-/l*`
450×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	3028
1	400	2666
2	1935	2654

Stop Event

1×	node limit

Counts

102 → 102

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

eval127.0ms (1.9%)

Compiler: Compiled 1856 to 1044 computations (43.8% saved)

prune35.0ms (0.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	131	7	138

Error

100.0%

Counts

138 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	97.2%	(-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1)
✓	97.2%	(+.f32 (log.f32 2) (log.f32 x))
✓	98.5%	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	98.5%	(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
✓	46.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	97.3%	(log.f32 (+.f32 x x))
	6.1%	0

Compiler

Compiled 50 to 37 computations (26% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Error

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	97.2%	(-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1)
✓	97.2%	(+.f32 (log.f32 2) (log.f32 x))
✓	98.5%	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	98.5%	(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
✓	46.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	97.3%	(log.f32 (+.f32 x x))
	6.1%	0

Compiler

Compiled 50 to 37 computations (26% saved)

regimes33.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x
10.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
9.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))

Results

Error	Segments	Branch
98.5%	1	`x`
98.5%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))`
98.5%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))`

Compiler

Compiled 80 to 54 computations (32.5% saved)

regimes40.0ms (0.6%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

39.0ms

Results

Error	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes8.0ms (0.1%)

Accuracy

Total -30.2b remaining (-3458.5%)

Threshold costs -30.20b (-3458.5%)

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:

6.0ms

Results

Error	Segments	Branch
97.3%	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	21	58
2	29	58
3	31	58
4	32	58

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 25 to 18 computations (28% saved)

soundness176.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

786×	`associate-r`
664×	`associate-l`
660×	`fma-def`
576×	`associate-/l*`
542×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	676	11578
1	1768	10740
2	7720	10740

Stop Event

1×	node limit

Compiler

Compiled 39 to 31 computations (20.5% saved)

end41.0ms (0.6%)

Compiler: Compiled 22 to 15 computations (31.8% saved)

Details

analyze1.0ms (0%)

sample2.1s (30.9%)

preprocess58.0ms (0.8%)

simplify284.0ms (4.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize53.0ms (0.8%)

series4.0ms (0.1%)

rewrite222.0ms (3.3%)

simplify302.0ms (4.4%)

eval482.0ms (7.1%)

prune119.0ms (1.8%)

localize126.0ms (1.9%)

series2.0ms (0%)

rewrite109.0ms (1.6%)

simplify138.0ms (2%)

localize21.0ms (0.3%)

series80.0ms (1.2%)

rewrite83.0ms (1.2%)

simplify102.0ms (1.5%)

localize21.0ms (0.3%)

series81.0ms (1.2%)

rewrite93.0ms (1.4%)

simplify92.0ms (1.4%)

localize44.0ms (0.6%)

series1.0ms (0%)

rewrite191.0ms (2.8%)

simplify242.0ms (3.6%)

localize30.0ms (0.4%)

series60.0ms (0.9%)

rewrite106.0ms (1.6%)

simplify102.0ms (1.5%)

eval430.0ms (6.3%)

prune155.0ms (2.3%)

localize104.0ms (1.5%)

series1.0ms (0%)

rewrite140.0ms (2.1%)

simplify138.0ms (2%)

eval127.0ms (1.9%)

prune35.0ms (0.5%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes33.0ms (0.5%)

regimes40.0ms (0.6%)

regimes8.0ms (0.1%)

simplify10.0ms (0.1%)

soundness176.0ms (2.6%)

end41.0ms (0.6%)

Profiling