Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample1.2s (18.5%)

Results

1.2s

8256×

body

256

valid

Bogosity

preprocess33.0ms (0.5%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
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)

simplify106.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

864×	`fma-neg_binary32`
682×	`unsub-neg_binary32`
430×	`distribute-neg-in_binary32`
420×	`sub-neg_binary32`
353×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	18	12
2	22	12
3	37	12
4	76	12
5	152	12
6	359	12
7	756	12
8	2543	12
9	4491	12
10	5836	12
11	6572	12
12	6876	12
13	7073	12
14	7205	12
15	7549	12

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

15.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.6b	(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
▶	15.7b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize39.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
✓	0.0b	(-.f32 (*.f32 x x) 1)
✓	0.1b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	13.4b	(sqrt.f32 (-.f32 (*.f32 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`pow1_binary32`
833×	`add-log-exp_binary32`
831×	`log1p-expm1-u_binary32`
831×	`expm1-log1p-u_binary32`
814×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	176	34
2	2453	34

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

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

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

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Rules

438×	`fma-neg_binary32`
376×	`distribute-rgt-in_binary32`
323×	`distribute-lft-in_binary32`
321×	`cancel-sign-sub-inv_binary32`
256×	`log-prod_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	2505
1	803	2278
2	2971	2084

Stop Event

1×	node limit

Counts

165 → 250

Calls

Call 1

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

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

localize32.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
✓	0.1b	(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
✓	13.4b	(sqrt.f32 (fma.f32 x x -1))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite49.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`pow1_binary32`
671×	`add-log-exp_binary32`
671×	`log1p-expm1-u_binary32`
671×	`expm1-log1p-u_binary32`
656×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	29
1	142	29
2	1847	29

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

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

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

Outputs

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

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-def_binary32`
440×	`unswap-sqr_binary32`
400×	`times-frac_binary32`
261×	`associate-/l*_binary32`
247×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	2367
1	642	1804
2	2115	1601

Stop Event

1×	node limit

Counts

112 → 192

Calls

Call 1

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

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

eval161.0ms (2.5%)

Compiler: Compiled 6893 to 5077 computations (26.3% saved)

prune55.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	432	10	442
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	433	11	444

Error

0.0b

Counts

444 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	16.0b	(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
	15.7b	(-.f32 (+.f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)
	0.9b	(+.f32 (log.f32 2) (log.f32 x))
	31.0b	(log.f32 (/.f32 1/2 x))
▶	0.5b	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
▶	0.5b	(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
✓	15.7b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
▶	15.6b	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1)))))
▶	0.8b	(log.f32 (+.f32 x x))
	15.9b	(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
▶	16.0b	(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))

Compiler

Compiled 196 to 145 computations (26% saved)

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 26 to 16 computations (38.5% saved)

series5.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

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

rewrite79.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`unpow-prod-down_binary32`
417×	`fma-def_binary32`
386×	`log-prod_binary32`
286×	`exp-prod_binary32`
245×	`pow-prod-down_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	33
1	167	33
2	2509	29

Stop Event

1×	node limit

Counts

4 → 318

Calls

Call 1

Inputs
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(-.f32 x (/.f32 1/2 x))
(/.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 (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 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3))) (log.f32 (/.f32 1 (fma.f32 (+.f32 x (/.f32 -1/2 x)) (-.f32 (+.f32 x (/.f32 -1/2 x)) x) (.f32 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 1 (+.f32 (-.f32 x x) (/.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)))) (.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (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)))))))) (#(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 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3))) (log.f32 (fma.f32 (+.f32 x (/.f32 -1/2 x)) (-.f32 (+.f32 x (/.f32 -1/2 x)) 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 (+.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2) (-.f32 (.f32 x x) (.f32 x (+.f32 x (/.f32 -1/2 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 x x) (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (fma.f32 (+.f32 x (/.f32 -1/2 x)) (-.f32 (+.f32 x (/.f32 -1/2 x)) x) (.f32 x x)) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (+.f32 (-.f32 x x) (/.f32 1/2 x)) (-.f32 (.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3)))) (log.f32 (neg.f32 (fma.f32 (+.f32 x (/.f32 -1/2 x)) (-.f32 (+.f32 x (/.f32 -1/2 x)) x) (.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (-.f32 (.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2)))) (log.f32 (neg.f32 (+.f32 (-.f32 x x) (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (pow.f32 (+.f32 x x) 3) (pow.f32 (/.f32 1/2 x) 3))) (log.f32 (+.f32 (pow.f32 (+.f32 x x) 2) (fma.f32 1/4 (pow.f32 x -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (pow.f32 (+.f32 x x) 2) (.f32 1/4 (pow.f32 x -2)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2) (.f32 x x))) (log.f32 (-.f32 (+.f32 x (/.f32 -1/2 x)) 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 (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 (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 3 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/3 (.f32 3 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(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 (pow.f32 1 1/3) (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 2) 1/3) (cbrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 2) 3) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 3))))) (#(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 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2) 1/2)))) (#(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 pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3)))) (#(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 (exp.f32 1) (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 2)) (cbrt.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) (sqrt.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (fma.f32 (+.f32 x (/.f32 -1/2 x)) (-.f32 (+.f32 x (/.f32 -1/2 x)) x) (.f32 x x)) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (+.f32 (-.f32 x x) (/.f32 1/2 x)) (-.f32 (.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2)))))))) (#(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 log1p.f32 (-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) 1))))) (#(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 exp.f32 (.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (*.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1/2 x))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 1/2 x)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (cbrt.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1/2 (/.f32 1 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1/2 (pow.f32 (/.f32 1 (neg.f32 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 x) -2) (pow.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 x -1/2) (pow.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/3) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (cbrt.f32 (/.f32 1/2 x))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (/.f32 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 x) -1) (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 1/2) 3) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 1/2 x))) 2) 3) (cbrt.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 1/2) 2) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1/8 1/3) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (.f32 1/4 (pow.f32 x -2)) 1/2) 1/3) (cbrt.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (.f32 (/.f32 1/2 x) (cbrt.f32 (/.f32 1/2 x))) 2) 1/3) (cbrt.f32 (cbrt.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (/.f32 1/2 x) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) -1) (cbrt.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 1/4 (pow.f32 x -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.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 pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x)))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 1/4 (pow.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (/.f32 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 1/2 x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (+.f32 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (/.f32 1/2 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (/.f32 1/2 x)) 3) 1/3))))))

simplify124.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

690×	`fma-neg_binary32`
426×	`log-prod_binary32`
274×	`sqr-pow_binary32`
264×	`exp-prod_binary32`
258×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	709	5846
1	1749	5326
2	5543	5312

Stop Event

1×	node limit

Counts

354 → 463

Calls

Call 1

Inputs
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(/.f32 -1/2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(/.f32 -1/2 x)
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(+.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 0)
(+.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 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3))) (log.f32 (/.f32 1 (fma.f32 (+.f32 x (/.f32 -1/2 x)) (-.f32 (+.f32 x (/.f32 -1/2 x)) x) (*.f32 x x)))))
(+.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2))) (log.f32 (/.f32 1 (+.f32 (-.f32 x x) (/.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)))) (*.f32 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 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 1)
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3))) (log.f32 (fma.f32 (+.f32 x (/.f32 -1/2 x)) (-.f32 (+.f32 x (/.f32 -1/2 x)) x) (*.f32 x x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3))) (log.f32 (+.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2) (-.f32 (.f32 x x) (.f32 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 x x) (/.f32 1/2 x))))
(-.f32 0 (log.f32 (/.f32 (fma.f32 (+.f32 x (/.f32 -1/2 x)) (-.f32 (+.f32 x (/.f32 -1/2 x)) x) (*.f32 x x)) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3)))))
(-.f32 0 (log.f32 (/.f32 (+.f32 (-.f32 x x) (/.f32 1/2 x)) (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2)))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3)))) (log.f32 (neg.f32 (fma.f32 (+.f32 x (/.f32 -1/2 x)) (-.f32 (+.f32 x (/.f32 -1/2 x)) x) (*.f32 x x)))))
(-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2)))) (log.f32 (neg.f32 (+.f32 (-.f32 x x) (/.f32 1/2 x)))))
(-.f32 (log.f32 (-.f32 (pow.f32 (+.f32 x x) 3) (pow.f32 (/.f32 1/2 x) 3))) (log.f32 (+.f32 (pow.f32 (+.f32 x x) 2) (fma.f32 1/4 (pow.f32 x -2) 1))))
(-.f32 (log.f32 (-.f32 (pow.f32 (+.f32 x x) 2) (*.f32 1/4 (pow.f32 x -2)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(-.f32 (log.f32 (-.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2) (*.f32 x x))) (log.f32 (-.f32 (+.f32 x (/.f32 -1/2 x)) 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 (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 (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 3 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(.f32 1/3 (.f32 3 (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 (pow.f32 1 1/3) (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3)) 1/3))
(.f32 (pow.f32 (pow.f32 (.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 2) 1/3) (cbrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 2) 3) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 3))
(pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 1)
(pow.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2) 1/2)
(pow.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3)
(pow.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)
(pow.f32 (exp.f32 1) (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 2)) (cbrt.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) (sqrt.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (+.f32 x (/.f32 -1/2 x)) (-.f32 (+.f32 x (/.f32 -1/2 x)) x) (*.f32 x x)) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3)))))
(neg.f32 (log.f32 (/.f32 (+.f32 (-.f32 x x) (/.f32 1/2 x)) (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2)))))
(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)))))
(log1p.f32 (-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) 1))
(exp.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1))
(exp.f32 (.f32 (.f32 3 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 1/3))
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(/.f32 (-.f32 (*.f32 x x) (pow.f32 (/.f32 -1/2 x) 2)) (-.f32 x (/.f32 -1/2 x)))
(pow.f32 (+.f32 x (/.f32 -1/2 x)) 1)
(pow.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2) 1/2)
(pow.f32 (cbrt.f32 (+.f32 x (/.f32 -1/2 x))) 3)
(pow.f32 (sqrt.f32 (+.f32 x (/.f32 -1/2 x))) 2)
(pow.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3) 1/3)
(pow.f32 (exp.f32 1) (log.f32 (+.f32 x (/.f32 -1/2 x))))
(pow.f32 (/.f32 (fma.f32 (/.f32 1/2 x) (+.f32 x (/.f32 1/2 x)) (*.f32 x x)) (-.f32 (pow.f32 x 3) (pow.f32 (/.f32 1/2 x) 3))) -1)
(pow.f32 (/.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2)))) -1)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (/.f32 -1/2 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (/.f32 -1/2 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (/.f32 -1/2 x))))) (sqrt.f32 (log.f32 (+.f32 x (/.f32 -1/2 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2))
(log.f32 (exp.f32 (+.f32 x (/.f32 -1/2 x))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (/.f32 -1/2 x)))))
(log.f32 (/.f32 (+.f32 1 (expm1.f32 x)) (exp.f32 (/.f32 1/2 x))))
(log.f32 (/.f32 (exp.f32 x) (+.f32 1 (expm1.f32 (/.f32 1/2 x)))))
(log.f32 (/.f32 (+.f32 1 (expm1.f32 x)) (+.f32 1 (expm1.f32 (/.f32 1/2 x)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (exp.f32 (/.f32 -1/2 x))))
(log.f32 (*.f32 (exp.f32 (/.f32 -1/2 x)) (+.f32 1 (expm1.f32 x))))
(cbrt.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (/.f32 -1/2 x))))
(log1p.f32 (expm1.f32 (+.f32 x (/.f32 -1/2 x))))
(exp.f32 (log.f32 (+.f32 x (/.f32 -1/2 x))))
(exp.f32 (*.f32 (log.f32 (+.f32 x (/.f32 -1/2 x))) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (/.f32 -1/2 x)))) 3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (/.f32 -1/2 x)))) 2))
(exp.f32 (.f32 (.f32 3 (log.f32 (+.f32 x (/.f32 -1/2 x)))) 1/3))
(exp.f32 (.f32 (.f32 (log.f32 (+.f32 x (/.f32 -1/2 x))) 1) 1))
(exp.f32 (.f32 (.f32 (log.f32 (+.f32 x (/.f32 -1/2 x))) 3) 1/3))
(fma.f32 x 1 (/.f32 -1/2 x))
(fma.f32 x 1 (*.f32 (/.f32 -1/2 x) 1))
(fma.f32 1/2 (neg.f32 (/.f32 1 x)) x)
(fma.f32 (+.f32 x (/.f32 -1/2 x)) 1 (fma.f32 (neg.f32 (/.f32 1 x)) 1/2 (/.f32 1/2 x)))
(fma.f32 (+.f32 x (/.f32 -1/2 x)) 1 (fma.f32 (/.f32 -1/2 x) 1 (/.f32 1/2 x)))
(fma.f32 (+.f32 x (/.f32 -1/2 x)) 1 (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (/.f32 1/2 x)))
(fma.f32 (+.f32 x (/.f32 -1/2 x)) 1 (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 1 x (/.f32 -1/2 x))
(fma.f32 1 x (*.f32 (/.f32 -1/2 x) 1))
(fma.f32 1 (+.f32 x (/.f32 -1/2 x)) (fma.f32 (neg.f32 (/.f32 1 x)) 1/2 (/.f32 1/2 x)))
(fma.f32 1 (+.f32 x (/.f32 -1/2 x)) (fma.f32 (/.f32 -1/2 x) 1 (/.f32 1/2 x)))
(fma.f32 1 (+.f32 x (/.f32 -1/2 x)) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (/.f32 1/2 x)))
(fma.f32 1 (+.f32 x (/.f32 -1/2 x)) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 1 (/.f32 -1/2 x) x)
(fma.f32 (cbrt.f32 (+.f32 x (/.f32 -1/2 x))) (pow.f32 (cbrt.f32 (+.f32 x (/.f32 -1/2 x))) 2) (fma.f32 (neg.f32 (/.f32 1 x)) 1/2 (/.f32 1/2 x)))
(fma.f32 (cbrt.f32 (+.f32 x (/.f32 -1/2 x))) (pow.f32 (cbrt.f32 (+.f32 x (/.f32 -1/2 x))) 2) (fma.f32 (/.f32 -1/2 x) 1 (/.f32 1/2 x)))
(fma.f32 (cbrt.f32 (+.f32 x (/.f32 -1/2 x))) (pow.f32 (cbrt.f32 (+.f32 x (/.f32 -1/2 x))) 2) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (/.f32 1/2 x)))
(fma.f32 (cbrt.f32 (+.f32 x (/.f32 -1/2 x))) (pow.f32 (cbrt.f32 (+.f32 x (/.f32 -1/2 x))) 2) (+.f32 (/.f32 -1/2 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))) (fma.f32 (neg.f32 (/.f32 1 x)) 1/2 (/.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))) (fma.f32 (/.f32 -1/2 x) 1 (/.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))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 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))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (/.f32 -1/2 x))
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (*.f32 (/.f32 -1/2 x) 1))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (/.f32 -1/2 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (*.f32 (/.f32 -1/2 x) 1))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (neg.f32 (cbrt.f32 (/.f32 1/2 x))) x)
(fma.f32 (sqrt.f32 (+.f32 x (/.f32 -1/2 x))) (sqrt.f32 (+.f32 x (/.f32 -1/2 x))) (fma.f32 (neg.f32 (/.f32 1 x)) 1/2 (/.f32 1/2 x)))
(fma.f32 (sqrt.f32 (+.f32 x (/.f32 -1/2 x))) (sqrt.f32 (+.f32 x (/.f32 -1/2 x))) (fma.f32 (/.f32 -1/2 x) 1 (/.f32 1/2 x)))
(fma.f32 (sqrt.f32 (+.f32 x (/.f32 -1/2 x))) (sqrt.f32 (+.f32 x (/.f32 -1/2 x))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (/.f32 1/2 x)))
(fma.f32 (sqrt.f32 (+.f32 x (/.f32 -1/2 x))) (sqrt.f32 (+.f32 x (/.f32 -1/2 x))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (/.f32 -1/2 x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (*.f32 (/.f32 -1/2 x) 1))
(fma.f32 (sqrt.f32 (/.f32 1/2 x)) (neg.f32 (sqrt.f32 (/.f32 1/2 x))) x)
(fma.f32 -1/2 (/.f32 1 x) x)
(fma.f32 (-.f32 (pow.f32 x 3) (pow.f32 (/.f32 1/2 x) 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (+.f32 x (/.f32 1/2 x)) (*.f32 x x))) (fma.f32 (neg.f32 (/.f32 1 x)) 1/2 (/.f32 1/2 x)))
(fma.f32 (-.f32 (pow.f32 x 3) (pow.f32 (/.f32 1/2 x) 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (+.f32 x (/.f32 1/2 x)) (*.f32 x x))) (fma.f32 (/.f32 -1/2 x) 1 (/.f32 1/2 x)))
(fma.f32 (-.f32 (pow.f32 x 3) (pow.f32 (/.f32 1/2 x) 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (+.f32 x (/.f32 1/2 x)) (*.f32 x x))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (/.f32 1/2 x)))
(fma.f32 (-.f32 (pow.f32 x 3) (pow.f32 (/.f32 1/2 x) 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (+.f32 x (/.f32 1/2 x)) (*.f32 x x))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2))) (/.f32 1 (+.f32 x (/.f32 1/2 x))) (fma.f32 (neg.f32 (/.f32 1 x)) 1/2 (/.f32 1/2 x)))
(fma.f32 (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2))) (/.f32 1 (+.f32 x (/.f32 1/2 x))) (fma.f32 (/.f32 -1/2 x) 1 (/.f32 1/2 x)))
(fma.f32 (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2))) (/.f32 1 (+.f32 x (/.f32 1/2 x))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (/.f32 1/2 x)))
(fma.f32 (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2))) (/.f32 1 (+.f32 x (/.f32 1/2 x))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 -1/2 x)) 2) (cbrt.f32 (/.f32 -1/2 x)) x)
(fma.f32 (sqrt.f32 (/.f32 -1/2 x)) (sqrt.f32 (/.f32 -1/2 x)) x)
(fma.f32 (neg.f32 (sqrt.f32 (/.f32 1/2 x))) (sqrt.f32 (/.f32 1/2 x)) x)
(fma.f32 -1 (/.f32 1/2 x) x)
(fma.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (fma.f32 (neg.f32 (/.f32 1 x)) 1/2 (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (fma.f32 (/.f32 -1/2 x) 1 (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2)) (cbrt.f32 (/.f32 1/2 x)) x)
(+.f32 0 (/.f32 1/2 x))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1/2 x))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 1/2 x)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 1/2 x)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 1/2 x)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 1/2 x))) 1)
(*.f32 1/2 (/.f32 1 x))
(*.f32 (/.f32 1/2 x) 1)
(*.f32 1 (/.f32 1/2 x))
(*.f32 (cbrt.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (cbrt.f32 (/.f32 1/2 x)))
(*.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x)))
(*.f32 -1/2 (/.f32 1 (neg.f32 x)))
(*.f32 -1/2 (pow.f32 (/.f32 1 (neg.f32 x)) 1))
(*.f32 (/.f32 1 x) 1/2)
(*.f32 (pow.f32 (cbrt.f32 x) -2) (pow.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x)) -1))
(*.f32 (pow.f32 x -1/2) (pow.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x)) -1))
(*.f32 (pow.f32 1 1/3) (/.f32 1/2 x))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (/.f32 1/2 x))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (/.f32 1/2 x))) 3))
(*.f32 (pow.f32 (cbrt.f32 x) -1) (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 2)) -1))
(*.f32 (pow.f32 (cbrt.f32 1/2) 3) (/.f32 1 x))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 1/2 x))) 2) 3) (cbrt.f32 (/.f32 1/2 x)))
(*.f32 (pow.f32 (sqrt.f32 1/2) 2) (/.f32 1 x))
(*.f32 (pow.f32 1/8 1/3) (/.f32 1 x))
(.f32 (pow.f32 (.f32 (*.f32 1/4 (pow.f32 x -2)) 1/2) 1/3) (cbrt.f32 (/.f32 1 x)))
(.f32 (pow.f32 (pow.f32 (.f32 (/.f32 1/2 x) (cbrt.f32 (/.f32 1/2 x))) 2) 1/3) (cbrt.f32 (cbrt.f32 (/.f32 1/2 x))))
(*.f32 (pow.f32 (pow.f32 (/.f32 1/2 x) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (/.f32 1/2 x))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) -1) (cbrt.f32 (/.f32 1/2 x)))
(pow.f32 (/.f32 1/2 x) 1)
(pow.f32 (*.f32 1/4 (pow.f32 x -2)) 1/2)
(pow.f32 (cbrt.f32 (/.f32 1/2 x)) 3)
(pow.f32 (sqrt.f32 (/.f32 1/2 x)) 2)
(pow.f32 (pow.f32 (/.f32 1/2 x) 3) 1/3)
(pow.f32 (+.f32 x x) -1)
(pow.f32 (exp.f32 1) (log.f32 (/.f32 1/2 x)))
(pow.f32 (/.f32 (+.f32 x x) 1) -1)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2)) (cbrt.f32 (log.f32 (/.f32 1/2 x))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x)))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))
(sqrt.f32 (*.f32 1/4 (pow.f32 x -2)))
(log.f32 (exp.f32 (/.f32 1/2 x)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x))))
(cbrt.f32 (pow.f32 (/.f32 1/2 x) 3))
(expm1.f32 (log1p.f32 (/.f32 1/2 x)))
(log1p.f32 (expm1.f32 (/.f32 1/2 x)))
(exp.f32 (log.f32 (/.f32 1/2 x)))
(exp.f32 (*.f32 (log.f32 (/.f32 1/2 x)) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 1/2 x))) 3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) 2))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 1/2 x) 3)) 1/3))
(exp.f32 (*.f32 (log.f32 (+.f32 x x)) -1))
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 1/2 x)) 1) 1))
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 1/2 x)) 3) 1/3))

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))
(log.f32 (/.f32 -1/2 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 -4 (.f32 x x)) (log.f32 x)))
(+.f32 (.f32 -4 (.f32 x x)) (log.f32 (/.f32 -1/2 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 (fma.f32 -4 (.f32 x x) (.f32 -8 (pow.f32 x 4))) (log.f32 (/.f32 -1/2 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 -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 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2))
(log.f32 (+.f32 x 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 (+.f32 x 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 (+.f32 (log.f32 (+.f32 x 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 (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 (+.f32 x x)) (/.f32 -1/4 (*.f32 x x))) (/.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)))
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(fma.f32 (-.f32 (pow.f32 x 3) (/.f32 1/8 (pow.f32 x 3))) (/.f32 1 (fma.f32 (/.f32 1/2 x) (+.f32 x (/.f32 1/2 x)) (*.f32 x x))) (fma.f32 (/.f32 -1 x) 1/2 (/.f32 1/2 x)))
(+.f32 (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)) (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (/.f32 -1/2 x) 3)) (fma.f32 (/.f32 1/2 x) (+.f32 x (/.f32 1/2 x)) (*.f32 x x))))
(fma.f32 (-.f32 (pow.f32 x 3) (pow.f32 (/.f32 1/2 x) 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (+.f32 x (/.f32 1/2 x)) (*.f32 x x))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (/.f32 1/2 x)))
(fma.f32 (-.f32 (pow.f32 x 3) (/.f32 1/8 (pow.f32 x 3))) (/.f32 1 (fma.f32 (/.f32 1/2 x) (+.f32 x (/.f32 1/2 x)) (*.f32 x x))) (fma.f32 (/.f32 -1 x) 1/2 (/.f32 1/2 x)))
(+.f32 (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)) (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (/.f32 -1/2 x) 3)) (fma.f32 (/.f32 1/2 x) (+.f32 x (/.f32 1/2 x)) (*.f32 x x))))
(fma.f32 (-.f32 (pow.f32 x 3) (pow.f32 (/.f32 1/2 x) 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (+.f32 x (/.f32 1/2 x)) (*.f32 x x))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (-.f32 (pow.f32 x 3) (/.f32 1/8 (pow.f32 x 3))) (/.f32 1 (fma.f32 (/.f32 1/2 x) (+.f32 x (/.f32 1/2 x)) (*.f32 x x))) (fma.f32 (/.f32 -1 x) 1/2 (/.f32 1/2 x)))
(+.f32 (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)) (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (/.f32 -1/2 x) 3)) (fma.f32 (/.f32 1/2 x) (+.f32 x (/.f32 1/2 x)) (*.f32 x x))))
(fma.f32 (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2))) (/.f32 1 (+.f32 x (/.f32 1/2 x))) (fma.f32 (neg.f32 (/.f32 1 x)) 1/2 (/.f32 1/2 x)))
(fma.f32 (+.f32 (.f32 x x) (.f32 -1/4 (pow.f32 x -2))) (/.f32 1 (+.f32 x (/.f32 1/2 x))) (fma.f32 (/.f32 -1 x) 1/2 (/.f32 1/2 x)))
(+.f32 (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)) (/.f32 (fma.f32 x x (*.f32 (pow.f32 x -2) -1/4)) (+.f32 x (/.f32 1/2 x))))
(fma.f32 (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2))) (/.f32 1 (+.f32 x (/.f32 1/2 x))) (fma.f32 (/.f32 -1/2 x) 1 (/.f32 1/2 x)))
(fma.f32 (+.f32 (.f32 x x) (.f32 -1/4 (pow.f32 x -2))) (/.f32 1 (+.f32 x (/.f32 1/2 x))) (fma.f32 (/.f32 -1 x) 1/2 (/.f32 1/2 x)))
(+.f32 (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)) (/.f32 (fma.f32 x x (*.f32 (pow.f32 x -2) -1/4)) (+.f32 x (/.f32 1/2 x))))
(fma.f32 (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2))) (/.f32 1 (+.f32 x (/.f32 1/2 x))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (/.f32 1/2 x)))
(fma.f32 (+.f32 (.f32 x x) (.f32 -1/4 (pow.f32 x -2))) (/.f32 1 (+.f32 x (/.f32 1/2 x))) (fma.f32 (/.f32 -1 x) 1/2 (/.f32 1/2 x)))
(+.f32 (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)) (/.f32 (fma.f32 x x (*.f32 (pow.f32 x -2) -1/4)) (+.f32 x (/.f32 1/2 x))))
(fma.f32 (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2))) (/.f32 1 (+.f32 x (/.f32 1/2 x))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (+.f32 (.f32 x x) (.f32 -1/4 (pow.f32 x -2))) (/.f32 1 (+.f32 x (/.f32 1/2 x))) (fma.f32 (/.f32 -1 x) 1/2 (/.f32 1/2 x)))
(+.f32 (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)) (/.f32 (fma.f32 x x (*.f32 (pow.f32 x -2) -1/4)) (+.f32 x (/.f32 1/2 x))))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 -1/2 x)) 2) (cbrt.f32 (/.f32 -1/2 x)) x)
(-.f32 x (/.f32 1/2 x))
(+.f32 x (/.f32 -1/2 x))
(fma.f32 (sqrt.f32 (/.f32 -1/2 x)) (sqrt.f32 (/.f32 -1/2 x)) x)
(-.f32 x (/.f32 1/2 x))
(+.f32 x (/.f32 -1/2 x))
(fma.f32 (neg.f32 (sqrt.f32 (/.f32 1/2 x))) (sqrt.f32 (/.f32 1/2 x)) x)
(-.f32 x (/.f32 1/2 x))
(+.f32 x (/.f32 -1/2 x))
(fma.f32 -1 (/.f32 1/2 x) x)
(-.f32 x (/.f32 1/2 x))
(+.f32 x (/.f32 -1/2 x))
(fma.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (fma.f32 (neg.f32 (/.f32 1 x)) 1/2 (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (fma.f32 (/.f32 -1 x) 1/2 (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (fma.f32 (/.f32 -1/2 x) 1 (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (fma.f32 (/.f32 -1 x) 1/2 (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (fma.f32 (/.f32 -1 x) 1/2 (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (/.f32 1/2 x))) (fma.f32 (/.f32 -1 x) 1/2 (/.f32 1/2 x)))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2)) (cbrt.f32 (/.f32 1/2 x)) x)
(-.f32 x (/.f32 1/2 x))
(+.f32 x (/.f32 -1/2 x))
(+.f32 0 (/.f32 1/2 x))
(/.f32 1/2 x)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1/2 x))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 1/2 x)))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (/.f32 1/2 x)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 1/2 x)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 1/2 x)))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (/.f32 1/2 x)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 1/2 x))) 1)
(/.f32 1/2 x)
(*.f32 1/2 (/.f32 1 x))
(/.f32 1/2 x)
(*.f32 (/.f32 1/2 x) 1)
(/.f32 1/2 x)
(*.f32 1 (/.f32 1/2 x))
(/.f32 1/2 x)
(*.f32 (cbrt.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2))
(/.f32 1/2 x)
(*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (cbrt.f32 (/.f32 1/2 x)))
(/.f32 1/2 x)
(*.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x)))
(/.f32 1/2 x)
(*.f32 -1/2 (/.f32 1 (neg.f32 x)))
(/.f32 1/2 x)
(*.f32 -1/2 (pow.f32 (/.f32 1 (neg.f32 x)) 1))
(/.f32 1/2 x)
(*.f32 (/.f32 1 x) 1/2)
(/.f32 1/2 x)
(*.f32 (pow.f32 (cbrt.f32 x) -2) (pow.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x)) -1))
(.f32 (pow.f32 (cbrt.f32 x) -2) (/.f32 1 (.f32 2 (cbrt.f32 x))))
(*.f32 (pow.f32 (cbrt.f32 x) -2) (/.f32 1/2 (cbrt.f32 x)))
(*.f32 (pow.f32 x -1/2) (pow.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x)) -1))
(.f32 (pow.f32 x -1/2) (/.f32 1 (.f32 2 (sqrt.f32 x))))
(*.f32 (pow.f32 x -1/2) (/.f32 1/2 (sqrt.f32 x)))
(*.f32 (pow.f32 1 1/3) (/.f32 1/2 x))
(/.f32 1/2 x)
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (/.f32 1/2 x))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (/.f32 1/2 x))) 3))
(/.f32 1/2 x)
(*.f32 (pow.f32 (cbrt.f32 x) -1) (pow.f32 (+.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 2)) -1))
(.f32 (/.f32 1 (cbrt.f32 x)) (/.f32 1 (.f32 2 (pow.f32 (cbrt.f32 x) 2))))
(*.f32 (/.f32 1 (cbrt.f32 x)) (/.f32 1/2 (pow.f32 (cbrt.f32 x) 2)))
(*.f32 (pow.f32 (cbrt.f32 1/2) 3) (/.f32 1 x))
(/.f32 1/2 x)
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 1/2 x))) 2) 3) (cbrt.f32 (/.f32 1/2 x)))
(*.f32 (cbrt.f32 (/.f32 1/2 x)) (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 1/2 x))) 2) 3))
(*.f32 (pow.f32 (sqrt.f32 1/2) 2) (/.f32 1 x))
(/.f32 1/2 x)
(*.f32 (pow.f32 1/8 1/3) (/.f32 1 x))
(*.f32 (/.f32 1 x) (cbrt.f32 1/8))
(/.f32 (cbrt.f32 1/8) x)
(.f32 (pow.f32 (.f32 (*.f32 1/4 (pow.f32 x -2)) 1/2) 1/3) (cbrt.f32 (/.f32 1 x)))
(.f32 (cbrt.f32 (.f32 1/4 (*.f32 (pow.f32 x -2) 1/2))) (cbrt.f32 (/.f32 1 x)))
(.f32 (cbrt.f32 (.f32 (pow.f32 x -2) 1/8)) (cbrt.f32 (/.f32 1 x)))
(.f32 (pow.f32 (pow.f32 (.f32 (/.f32 1/2 x) (cbrt.f32 (/.f32 1/2 x))) 2) 1/3) (cbrt.f32 (cbrt.f32 (/.f32 1/2 x))))
(.f32 (cbrt.f32 (cbrt.f32 (/.f32 1/2 x))) (cbrt.f32 (pow.f32 (.f32 (/.f32 1/2 x) (cbrt.f32 (/.f32 1/2 x))) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (/.f32 1/2 x))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 4) 2)))
(*.f32 (pow.f32 (pow.f32 (/.f32 1/2 x) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (/.f32 1/2 x))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 1/2 x) 5/2)) (cbrt.f32 (sqrt.f32 (/.f32 1/2 x))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) -1) (cbrt.f32 (/.f32 1/2 x)))
(*.f32 (cbrt.f32 (/.f32 1/2 x)) (/.f32 1 (pow.f32 (cbrt.f32 (+.f32 x x)) 2)))
(pow.f32 (/.f32 1/2 x) 1)
(/.f32 1/2 x)
(pow.f32 (*.f32 1/4 (pow.f32 x -2)) 1/2)
(sqrt.f32 (*.f32 1/4 (pow.f32 x -2)))
(pow.f32 (cbrt.f32 (/.f32 1/2 x)) 3)
(/.f32 1/2 x)
(pow.f32 (sqrt.f32 (/.f32 1/2 x)) 2)
(/.f32 1/2 x)
(pow.f32 (pow.f32 (/.f32 1/2 x) 3) 1/3)
(/.f32 1/2 x)
(pow.f32 (+.f32 x x) -1)
(/.f32 1/2 x)
(pow.f32 (exp.f32 1) (log.f32 (/.f32 1/2 x)))
(/.f32 1/2 x)
(pow.f32 (/.f32 (+.f32 x x) 1) -1)
(/.f32 1/2 x)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2)) (cbrt.f32 (log.f32 (/.f32 1/2 x))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x)))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))
(sqrt.f32 (*.f32 1/4 (pow.f32 x -2)))
(log.f32 (exp.f32 (/.f32 1/2 x)))
(/.f32 1/2 x)
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x))))
(/.f32 1/2 x)
(cbrt.f32 (pow.f32 (/.f32 1/2 x) 3))
(/.f32 1/2 x)
(expm1.f32 (log1p.f32 (/.f32 1/2 x)))
(/.f32 1/2 x)
(log1p.f32 (expm1.f32 (/.f32 1/2 x)))
(/.f32 1/2 x)
(exp.f32 (log.f32 (/.f32 1/2 x)))
(/.f32 1/2 x)
(exp.f32 (*.f32 (log.f32 (/.f32 1/2 x)) 1))
(/.f32 1/2 x)
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 1/2 x))) 3))
(/.f32 1/2 x)
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) 2))
(/.f32 1/2 x)
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 1/2 x) 3)) 1/3))
(/.f32 1/2 x)
(exp.f32 (*.f32 (log.f32 (+.f32 x x)) -1))
(/.f32 1/2 x)
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 1/2 x)) 1) 1))
(/.f32 1/2 x)
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 1/2 x)) 3) 1/3))
(/.f32 1/2 x)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 3 computations (66.7% saved)

series43.0ms (0.7%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	(log.f32 (+.f32 x x))
15.0ms	x	@	-inf	(log.f32 (+.f32 x x))
6.0ms	x	@	inf	(log.f32 (+.f32 x x))

rewrite41.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

390×	`pow1_binary32`
379×	`add-sqr-sqrt_binary32`
371×	`*-un-lft-identity_binary32`
367×	`add-log-exp_binary32`
366×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	85	6
2	1194	6

Stop Event

1×	node limit

Counts

1 → 57

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

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-neg_binary32`
546×	`log-prod_binary32`
472×	`associate-l_binary32`
465×	`fma-def_binary32`
437×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	634
1	327	569
2	1025	553
3	5783	553

Stop Event

1×	node limit

Counts

69 → 83

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

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

localize38.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 18 computations (28% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite45.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`pow1_binary32`
835×	`add-log-exp_binary32`
834×	`log1p-expm1-u_binary32`
834×	`expm1-log1p-u_binary32`
820×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	178	10
2	2335	10

Stop Event

1×	node limit

Counts

1 → 20

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

simplify42.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

562×	`fma-neg_binary32`
422×	`cancel-sign-sub-inv_binary32`
354×	`fma-def_binary32`
326×	`sub-neg_binary32`
322×	`associate-/r*_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	564
1	292	528
2	935	523
3	4280	518

Stop Event

1×	node limit

Counts

32 → 80

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 (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 (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 (fma.f32 x 2 (/.f32 -1/2 x)))) 1)
(-.f32 (log.f32 (-.f32 (pow.f32 (.f32 x 2) 3) (/.f32 1/8 (pow.f32 x 3)))) (log.f32 (+.f32 (pow.f32 (.f32 x 2) 2) (*.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x))))))
(-.f32 (log.f32 (-.f32 (pow.f32 (*.f32 x 2) 2) (pow.f32 (/.f32 1/2 x) 2))) (log.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 (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 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (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 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3)
(pow.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)
(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)))))
(log1p.f32 (-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) 1))
(exp.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))

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

localize46.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 (+.f32 x 1) (+.f32 x -1))
✓	0.0b	(+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1))))
✓	0.1b	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1)))))
✓	13.4b	(sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1)))

Compiler

Compiled 46 to 33 computations (28.3% saved)

series5.0ms (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 1) (+.f32 x -1)))))
1.0ms	x	@	-inf	(sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1)))
0.0ms	x	@	-inf	(*.f32 (+.f32 x 1) (+.f32 x -1))
0.0ms	x	@	0	(sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1)))
0.0ms	x	@	inf	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1)))))

rewrite74.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`fma-def_binary32`
471×	`log-prod_binary32`
387×	`pow-prod-down_binary32`
300×	`fma-neg_binary32`
263×	`pow2_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	54
1	219	34
2	3176	34

Stop Event

1×	node limit

Counts

4 → 251

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (sqrt.f32 (exp.f32 (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)))) 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 (pow.f32 (fma.f32 x x -1) 1/6) (cbrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 x x -1)) (pow.f32 (fma.f32 x x -1) 1/6))))) (#(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 (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 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) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x x -1) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x x -1) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 x x -1)) 3/2)))) (#(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 (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 hypot.f32 (sqrt.f32 (fma.f32 x -1 -1)) (hypot.f32 x (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 (hypot.f32 x (sqrt.f32 x)) (sqrt.f32 (fma.f32 x -1 -1)))))) (#(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 log1p.f32 (expm1.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 exp.f32 (.f32 (log.f32 (fma.f32 x x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (*.f32 3/2 (log.f32 (fma.f32 x x -1))) 1/3))))))
((#(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 (-.f32 (.f32 x x) (fma.f32 x x -1))) (log.f32 (/.f32 1 (-.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))))) (.f32 2 (log.f32 (cbrt.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 1 (-.f32 (fma.f32 x x (fma.f32 x x -1)) (.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 (.f32 2 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x -1)) (.f32 x (sqrt.f32 (fma.f32 x x -1)))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 (.f32 x x) (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (.f32 x x) (fma.f32 x x -1))) (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 (fma.f32 x x -1)) (.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 (.f32 x x) (.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x (fma.f32 x x -1)) (.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (-.f32 (.f32 x x) (fma.f32 x x -1)))) (log.f32 (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (fma.f32 x x -1) (.f32 x x))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x -1)) x)))))) (#(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 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.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 (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 3 (log.f32 (cbrt.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 .f32 1/3 (.f32 3 (log.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 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) 1/2)))) (#(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 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 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x -1)) (.f32 x (sqrt.f32 (fma.f32 x x -1)))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 (.f32 x x) (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 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 exp.f32 (.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2))))))
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(#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x x -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x x -1) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 x x -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 2/3)))) (#(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 log.f32 (.f32 (exp.f32 (fma.f32 x -1 -1)) (exp.f32 (fma.f32 x x x))))))) (#(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 (log1p.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (.f32 2 (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (fma.f32 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (fma.f32 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 x x -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 x (+.f32 x 1) (fma.f32 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 x (+.f32 x -1) (+.f32 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 x -1) (.f32 x (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 x -1) (.f32 (+.f32 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (fma.f32 x -1 -1) (fma.f32 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (fma.f32 x x x) (fma.f32 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 x 1) x (fma.f32 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 x 1) -1 (fma.f32 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1 (+.f32 x 1) (fma.f32 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 x -1) x (+.f32 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 x -1) 1 (.f32 x (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 x -1) 1 (.f32 (+.f32 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (fma.f32 x x -1) (/.f32 1 (+.f32 x 1)) (.f32 x (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (fma.f32 x x -1) (/.f32 1 (+.f32 x 1)) (.f32 (+.f32 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (.f32 x x)) (.f32 (cbrt.f32 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (.f32 x x)) (.f32 (cbrt.f32 x) (+.f32 x 1)) (fma.f32 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (+.f32 x -1)) (pow.f32 (cbrt.f32 (+.f32 x -1)) 2) (.f32 x (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (+.f32 x -1)) (pow.f32 (cbrt.f32 (+.f32 x -1)) 2) (.f32 (+.f32 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 x -1)) 2) (cbrt.f32 (+.f32 x -1)) (.f32 x (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 x -1)) 2) (cbrt.f32 (+.f32 x -1)) (.f32 (+.f32 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) (.f32 (cbrt.f32 (+.f32 x 1)) -1) (fma.f32 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) (.f32 (cbrt.f32 (+.f32 x 1)) x) (fma.f32 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (pow.f32 x 3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (.f32 (sqrt.f32 x) (+.f32 x 1)) (fma.f32 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (+.f32 x -1)) (.f32 x (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (+.f32 x -1)) (.f32 (+.f32 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 x 1)) (.f32 (sqrt.f32 (+.f32 x 1)) -1) (fma.f32 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 x 1)) (.f32 (sqrt.f32 (+.f32 x 1)) x) (fma.f32 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 -1 (pow.f32 x 3)) (/.f32 1 (-.f32 (fma.f32 x x 1) (.f32 x -1))) (.f32 x (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 -1 (pow.f32 x 3)) (/.f32 1 (-.f32 (fma.f32 x x 1) (.f32 x -1))) (.f32 (+.f32 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (fma.f32 x x x) 1 (.f32 (fma.f32 x -1 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (cbrt.f32 x) x) (cbrt.f32 (.f32 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 x 3/2) (sqrt.f32 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (fma.f32 x -1 -1)) 2) (cbrt.f32 (fma.f32 x -1 -1)) (fma.f32 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (fma.f32 x x x)) 2) (cbrt.f32 (fma.f32 x x x)) (fma.f32 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (fma.f32 x -1 -1)) (sqrt.f32 (fma.f32 x -1 -1)) (fma.f32 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (hypot.f32 x (sqrt.f32 x)) (hypot.f32 x (sqrt.f32 x)) (fma.f32 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (sqrt.f32 x) 1) (-.f32 (sqrt.f32 x) 1) (.f32 x (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (sqrt.f32 x) 1) (-.f32 (sqrt.f32 x) 1) (.f32 (+.f32 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 -1 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (cbrt.f32 (+.f32 x 1)) (fma.f32 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 -1 (sqrt.f32 (+.f32 x 1))) (sqrt.f32 (+.f32 x 1)) (fma.f32 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 x (sqrt.f32 (+.f32 x 1))) (sqrt.f32 (+.f32 x 1)) (fma.f32 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 5) (cbrt.f32 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (+.f32 x 1) (cbrt.f32 (.f32 x x))) (cbrt.f32 x) (fma.f32 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (+.f32 x 1) (sqrt.f32 x)) (sqrt.f32 x) (fma.f32 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 x (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (cbrt.f32 (+.f32 x 1)) (fma.f32 x -1 -1))))))

simplify101.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

475×	`fma-neg_binary32`
338×	`log-prod_binary32`
269×	`fma-def_binary32`
219×	`associate-l_binary32`
211×	`exp-prod_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	651	4737
1	1659	4258
2	5917	4240

Stop Event

1×	node limit

Counts

299 → 395

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 (.f32 (pow.f32 (sqrt.f32 -1) 2) x))
(-.f32 (.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) x)) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 x 3)))) (.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) x))) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 x 3)))) (.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) x))) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 x 5))))))
(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 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/2 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 x 2)))) (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1)) (+.f32 (.f32 -1/24 (/.f32 (+.f32 (.f32 3 (/.f32 1 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 2))) (.f32 3 (/.f32 1 (.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 x 4))) (.f32 1/2 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 x 2)))))))
(+.f32 (.f32 1/720 (/.f32 (+.f32 (.f32 45 (/.f32 1 (.f32 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 2) (pow.f32 (sqrt.f32 -1) 2)))) (+.f32 (.f32 45 (/.f32 1 (.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 (sqrt.f32 -1) 4)))) (.f32 30 (/.f32 1 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 3))))) (pow.f32 x 6))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1)) (+.f32 (.f32 -1/24 (/.f32 (+.f32 (.f32 3 (/.f32 1 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 2))) (.f32 3 (/.f32 1 (.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 x 4))) (.f32 1/2 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 x 2))))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) x)
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x))
(+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x)))
(*.f32 2 x)
(-.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 2 x) (+.f32 (.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(-.f32 (.f32 2 x) (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))))
(.f32 -1 (.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) x))
(-.f32 (.f32 -1 (.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) x)) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 x 3)))) (.f32 -1 (.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) x))) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 x 3)))) (.f32 -1 (.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) x))) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 x 5))))))
-1
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(pow.f32 x 2)
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(pow.f32 x 2)
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(+.f32 0 (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1)
(*.f32 1 (sqrt.f32 (fma.f32 x x -1)))
(*.f32 (sqrt.f32 (fma.f32 x x -1)) 1)
(*.f32 (pow.f32 (fma.f32 x x -1) 1/6) (cbrt.f32 (fma.f32 x x -1)))
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (pow.f32 (fma.f32 x x -1) 1/6))
(*.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4))
(*.f32 (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (+.f32 x 1)))
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)))
(pow.f32 (fma.f32 x x -1) 1/2)
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 1)
(pow.f32 (pow.f32 (fma.f32 x x -1) 2) 1/4)
(pow.f32 (pow.f32 (fma.f32 x x -1) 3) 1/6)
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/6) 3)
(pow.f32 (cbrt.f32 (fma.f32 x x -1)) 3/2)
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2)
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(-.f32 (exp.f32 (log1p.f32 (fma.f32 x x -1))) 1)
(/.f32 (pow.f32 (fma.f32 x x -1) 2) (fma.f32 x x -1))
(/.f32 (.f32 (fma.f32 x x -1) (+.f32 1 (pow.f32 x 3))) (.f32 (+.f32 x 1) (-.f32 (fma.f32 x x 1) x)))
(/.f32 (.f32 (+.f32 1 (pow.f32 x 3)) (fma.f32 x x -1)) (.f32 (-.f32 (fma.f32 x x 1) x) (+.f32 x 1)))
(/.f32 (.f32 (fma.f32 x x -1) (+.f32 -1 (pow.f32 x 3))) (.f32 (+.f32 x -1) (-.f32 (fma.f32 x x 1) (*.f32 x -1))))
(/.f32 (.f32 (+.f32 -1 (pow.f32 x 3)) (fma.f32 x x -1)) (.f32 (-.f32 (fma.f32 x x 1) (*.f32 x -1)) (+.f32 x -1)))
(/.f32 (.f32 (+.f32 1 (pow.f32 x 3)) (+.f32 -1 (pow.f32 x 3))) (.f32 (-.f32 (fma.f32 x x 1) x) (-.f32 (fma.f32 x x 1) (*.f32 x -1))))
(/.f32 (.f32 (+.f32 -1 (pow.f32 x 3)) (+.f32 1 (pow.f32 x 3))) (.f32 (-.f32 (fma.f32 x x 1) (*.f32 x -1)) (-.f32 (fma.f32 x x 1) x)))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x x) 3) (pow.f32 (fma.f32 x -1 -1) 3)) (+.f32 (pow.f32 (fma.f32 x x x) 2) (-.f32 (pow.f32 (fma.f32 x -1 -1) 2) (*.f32 (fma.f32 x x x) (fma.f32 x -1 -1)))))
(/.f32 (-.f32 (pow.f32 x 4) 1) (fma.f32 x x 1))
(/.f32 (-.f32 (pow.f32 x 6) 1) (+.f32 (pow.f32 x 4) (+.f32 1 (.f32 (.f32 x x) 1))))
(/.f32 (-.f32 (pow.f32 (fma.f32 x x x) 2) (pow.f32 (fma.f32 x -1 -1) 2)) (-.f32 (fma.f32 x x x) (fma.f32 x -1 -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 1 (pow.f32 x 3)) (+.f32 x -1)) (-.f32 (fma.f32 x x 1) x))
(/.f32 (.f32 (+.f32 -1 (pow.f32 x 3)) (+.f32 x 1)) (-.f32 (fma.f32 x x 1) (.f32 x -1)))
(/.f32 (*.f32 (+.f32 x 1) (fma.f32 x x -1)) (+.f32 x 1))
(/.f32 (*.f32 (+.f32 x -1) (fma.f32 x x -1)) (+.f32 x -1))
(/.f32 (.f32 (+.f32 x 1) (+.f32 -1 (pow.f32 x 3))) (-.f32 (fma.f32 x x 1) (.f32 x -1)))
(/.f32 (*.f32 (+.f32 x -1) (+.f32 1 (pow.f32 x 3))) (-.f32 (fma.f32 x x 1) x))
(pow.f32 (fma.f32 x x -1) 1)
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 2)
(pow.f32 (pow.f32 (fma.f32 x x -1) 2) 1/2)
(pow.f32 (pow.f32 (fma.f32 x x -1) 3) 1/3)
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/6) 6)
(pow.f32 (cbrt.f32 (fma.f32 x x -1)) 3)
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 4)
(pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 2/3)
(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))))
(log.f32 (*.f32 (exp.f32 (fma.f32 x -1 -1)) (exp.f32 (fma.f32 x x x))))
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3))
(expm1.f32 (log1p.f32 (fma.f32 x x -1)))
(expm1.f32 (*.f32 2 (log.f32 x)))
(log1p.f32 (expm1.f32 (fma.f32 x x -1)))
(exp.f32 (log.f32 (fma.f32 x x -1)))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 2))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 2)) 1/2))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 3)) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 x x -1))) 3))
(fma.f32 x x -1)
(fma.f32 x (+.f32 x 1) (fma.f32 x -1 -1))
(fma.f32 x (+.f32 x -1) (+.f32 x -1))
(fma.f32 1 (+.f32 x -1) (*.f32 x (+.f32 x -1)))
(fma.f32 1 (+.f32 x -1) (*.f32 (+.f32 x -1) x))
(fma.f32 1 (*.f32 x x) -1)
(fma.f32 1 (fma.f32 x -1 -1) (fma.f32 x x x))
(fma.f32 1 (fma.f32 x x x) (fma.f32 x -1 -1))
(fma.f32 (+.f32 x 1) x (fma.f32 x -1 -1))
(fma.f32 (+.f32 x 1) -1 (fma.f32 x x x))
(fma.f32 -1 (+.f32 x 1) (fma.f32 x x x))
(fma.f32 (+.f32 x -1) x (+.f32 x -1))
(fma.f32 (+.f32 x -1) 1 (*.f32 x (+.f32 x -1)))
(fma.f32 (+.f32 x -1) 1 (*.f32 (+.f32 x -1) x))
(fma.f32 (fma.f32 x x -1) (/.f32 1 (+.f32 x 1)) (*.f32 x (+.f32 x -1)))
(fma.f32 (fma.f32 x x -1) (/.f32 1 (+.f32 x 1)) (*.f32 (+.f32 x -1) x))
(fma.f32 (cbrt.f32 (.f32 x x)) (.f32 (cbrt.f32 x) x) -1)
(fma.f32 (cbrt.f32 (.f32 x x)) (.f32 (cbrt.f32 x) (+.f32 x 1)) (fma.f32 x -1 -1))
(fma.f32 (cbrt.f32 (+.f32 x -1)) (pow.f32 (cbrt.f32 (+.f32 x -1)) 2) (*.f32 x (+.f32 x -1)))
(fma.f32 (cbrt.f32 (+.f32 x -1)) (pow.f32 (cbrt.f32 (+.f32 x -1)) 2) (*.f32 (+.f32 x -1) x))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x -1)) 2) (cbrt.f32 (+.f32 x -1)) (*.f32 x (+.f32 x -1)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x -1)) 2) (cbrt.f32 (+.f32 x -1)) (*.f32 (+.f32 x -1) x))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) (*.f32 (cbrt.f32 (+.f32 x 1)) -1) (fma.f32 x x x))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) (*.f32 (cbrt.f32 (+.f32 x 1)) x) (fma.f32 x -1 -1))
(fma.f32 (sqrt.f32 x) (pow.f32 x 3/2) -1)
(fma.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (+.f32 x 1)) (fma.f32 x -1 -1))
(fma.f32 (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (+.f32 x -1)) (*.f32 x (+.f32 x -1)))
(fma.f32 (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (+.f32 x -1)) (*.f32 (+.f32 x -1) x))
(fma.f32 (sqrt.f32 (+.f32 x 1)) (*.f32 (sqrt.f32 (+.f32 x 1)) -1) (fma.f32 x x x))
(fma.f32 (sqrt.f32 (+.f32 x 1)) (*.f32 (sqrt.f32 (+.f32 x 1)) x) (fma.f32 x -1 -1))
(fma.f32 (+.f32 -1 (pow.f32 x 3)) (/.f32 1 (-.f32 (fma.f32 x x 1) (.f32 x -1))) (.f32 x (+.f32 x -1)))
(fma.f32 (+.f32 -1 (pow.f32 x 3)) (/.f32 1 (-.f32 (fma.f32 x x 1) (.f32 x -1))) (.f32 (+.f32 x -1) x))
(fma.f32 (fma.f32 x x x) 1 (*.f32 (fma.f32 x -1 -1) 1))
(fma.f32 (.f32 (cbrt.f32 x) x) (cbrt.f32 (.f32 x x)) -1)
(fma.f32 (pow.f32 x 3/2) (sqrt.f32 x) -1)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 x -1 -1)) 2) (cbrt.f32 (fma.f32 x -1 -1)) (fma.f32 x x x))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 x x x)) 2) (cbrt.f32 (fma.f32 x x x)) (fma.f32 x -1 -1))
(fma.f32 (sqrt.f32 (fma.f32 x -1 -1)) (sqrt.f32 (fma.f32 x -1 -1)) (fma.f32 x x x))
(fma.f32 (hypot.f32 x (sqrt.f32 x)) (hypot.f32 x (sqrt.f32 x)) (fma.f32 x -1 -1))
(fma.f32 (+.f32 (sqrt.f32 x) 1) (-.f32 (sqrt.f32 x) 1) (*.f32 x (+.f32 x -1)))
(fma.f32 (+.f32 (sqrt.f32 x) 1) (-.f32 (sqrt.f32 x) 1) (*.f32 (+.f32 x -1) x))
(fma.f32 (*.f32 -1 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (cbrt.f32 (+.f32 x 1)) (fma.f32 x x x))
(fma.f32 (*.f32 -1 (sqrt.f32 (+.f32 x 1))) (sqrt.f32 (+.f32 x 1)) (fma.f32 x x x))
(fma.f32 (*.f32 x (sqrt.f32 (+.f32 x 1))) (sqrt.f32 (+.f32 x 1)) (fma.f32 x -1 -1))
(fma.f32 (pow.f32 (cbrt.f32 x) 5) (cbrt.f32 x) -1)
(fma.f32 (.f32 (+.f32 x 1) (cbrt.f32 (.f32 x x))) (cbrt.f32 x) (fma.f32 x -1 -1))
(fma.f32 (*.f32 (+.f32 x 1) (sqrt.f32 x)) (sqrt.f32 x) (fma.f32 x -1 -1))
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (cbrt.f32 (+.f32 x 1)) (fma.f32 x -1 -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 (*.f32 x x) (sqrt.f32 -1)) (sqrt.f32 -1))
(+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (.f32 x x) (sqrt.f32 -1)))))
(+.f32 (fma.f32 1/2 (/.f32 (.f32 x x) (sqrt.f32 -1)) (sqrt.f32 -1)) (.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1))))
(+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5))))))
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (.f32 x x) (sqrt.f32 -1)) (.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5))))))
(+.f32 (fma.f32 1/2 (/.f32 (.f32 x x) (sqrt.f32 -1)) (sqrt.f32 -1)) (+.f32 (/.f32 (.f32 1/16 (pow.f32 x 6)) (pow.f32 (sqrt.f32 -1) 5)) (*.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1)))))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (/.f32 1/2 x))
(+.f32 x (/.f32 -1/2 x))
(-.f32 x (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(-.f32 x (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))))
(+.f32 x (-.f32 (/.f32 -1/2 x) (/.f32 1/8 (pow.f32 x 3))))
(-.f32 x (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))))
(-.f32 x (+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5)))))
(-.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5))))
(.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) x))
x
(-.f32 (.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) x)) (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (/.f32 1/2 x))
(+.f32 x (/.f32 -1/2 x))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 x 3)))) (.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) x))) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (/.f32 1/8 (.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 2))) (-.f32 (neg.f32 (.f32 x (pow.f32 (sqrt.f32 -1) 2))) (/.f32 1/2 x)))
(+.f32 x (-.f32 (/.f32 -1/8 (pow.f32 x 3)) (/.f32 1/2 x)))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 x 3)))) (.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) x))) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 x 5))))))
(+.f32 (/.f32 1/8 (.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 2))) (-.f32 (neg.f32 (.f32 x (pow.f32 (sqrt.f32 -1) 2))) (+.f32 (/.f32 1/2 x) (/.f32 1/16 (*.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 4))))))
(+.f32 (/.f32 -1/8 (pow.f32 x 3)) (-.f32 (+.f32 x (/.f32 -1/2 x)) (/.f32 1/16 (pow.f32 x 5))))
(log.f32 (sqrt.f32 -1))
(+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))
(+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))))
(+.f32 (/.f32 x (sqrt.f32 -1)) (+.f32 (log.f32 (sqrt.f32 -1)) (*.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1)))))
(+.f32 (.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))))
(fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))))
(+.f32 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) (fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (*.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1)))))
(+.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 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4))))
(+.f32 (log.f32 x) (-.f32 (+.f32 (log.f32 2) (/.f32 -1/4 (*.f32 x x))) (/.f32 3/32 (pow.f32 x 4))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6)))))
(+.f32 (log.f32 x) (-.f32 (-.f32 (log.f32 2) (/.f32 3/32 (pow.f32 x 4))) (+.f32 (/.f32 (/.f32 1/4 x) x) (/.f32 5/96 (pow.f32 x 6)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1)))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1)))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/2 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 x 2)))) (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1))))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1)) (/.f32 1/2 (.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1) (.f32 x x)))))
(+.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (/.f32 -1/4 (*.f32 x x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1)) (+.f32 (.f32 -1/24 (/.f32 (+.f32 (.f32 3 (/.f32 1 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 2))) (.f32 3 (/.f32 1 (.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 x 4))) (.f32 1/2 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 x 2)))))))
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1))) (fma.f32 -1/24 (/.f32 (+.f32 (/.f32 3 (pow.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1) 2)) (/.f32 3 (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1)))) (pow.f32 x 4)) (/.f32 1/2 (.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1) (*.f32 x x)))))
(-.f32 (+.f32 (/.f32 -1/4 (*.f32 x x)) (+.f32 (log.f32 -2) (/.f32 -3/32 (pow.f32 x 4)))) (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 1/720 (/.f32 (+.f32 (.f32 45 (/.f32 1 (.f32 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 2) (pow.f32 (sqrt.f32 -1) 2)))) (+.f32 (.f32 45 (/.f32 1 (.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 (sqrt.f32 -1) 4)))) (.f32 30 (/.f32 1 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 3))))) (pow.f32 x 6))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1)) (+.f32 (.f32 -1/24 (/.f32 (+.f32 (.f32 3 (/.f32 1 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 2))) (.f32 3 (/.f32 1 (.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 x 4))) (.f32 1/2 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 x 2))))))))
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(fma.f32 (pow.f32 (cbrt.f32 x) 5) (cbrt.f32 x) -1)
(+.f32 -1 (pow.f32 (cbrt.f32 x) 6))
(fma.f32 (.f32 (+.f32 x 1) (cbrt.f32 (.f32 x x))) (cbrt.f32 x) (fma.f32 x -1 -1))
(fma.f32 (cbrt.f32 (.f32 x x)) (.f32 (+.f32 x 1) (cbrt.f32 x)) (fma.f32 x -1 -1))
(fma.f32 (cbrt.f32 (.f32 x x)) (.f32 (+.f32 x 1) (cbrt.f32 x)) (fma.f32 -1 x -1))
(fma.f32 (*.f32 (+.f32 x 1) (sqrt.f32 x)) (sqrt.f32 x) (fma.f32 x -1 -1))
(fma.f32 x x -1)
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (cbrt.f32 (+.f32 x 1)) (fma.f32 x -1 -1))
(fma.f32 x x -1)

localize50.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
✓	0.1b	(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
✓	0.9b	(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
	13.4b	(sqrt.f32 (fma.f32 x x -1))

Compiler

Compiled 46 to 29 computations (37% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
1.0ms	x	@	-inf	(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
1.0ms	x	@	0	(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
0.0ms	x	@	0	(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
0.0ms	x	@	-inf	(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`pow1_binary32`
733×	`add-log-exp_binary32`
733×	`log1p-expm1-u_binary32`
733×	`expm1-log1p-u_binary32`
716×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	166	26
2	2033	26

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))

Outputs

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

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

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

666×	`fma-def_binary32`
460×	`fma-neg_binary32`
433×	`associate-/r*_binary32`
315×	`unswap-sqr_binary32`
239×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	2166
1	610	1563
2	2010	1535
3	7789	1535

Stop Event

1×	node limit

Counts

66 → 126

Calls

Call 1

Inputs
(log.f32 (sqrt.f32 -1))
(+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))))
(+.f32 (.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))))
(log.f32 (log.f32 (sqrt.f32 -1)))
(+.f32 (log.f32 (log.f32 (sqrt.f32 -1))) (/.f32 x (*.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 -1)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 x 2) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (log.f32 (sqrt.f32 -1)) 2)))) (+.f32 (log.f32 (log.f32 (sqrt.f32 -1))) (/.f32 x (*.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 -1))))))
(+.f32 (.f32 1/6 (.f32 (-.f32 (.f32 2 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 (log.f32 (sqrt.f32 -1)) 3)))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (log.f32 (sqrt.f32 -1))))) (pow.f32 x 3))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 x 2) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (log.f32 (sqrt.f32 -1)) 2)))) (+.f32 (log.f32 (log.f32 (sqrt.f32 -1))) (/.f32 x (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 -1)))))))
(log.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))))
(-.f32 (log.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (.f32 1/4 (/.f32 1 (.f32 (pow.f32 x 2) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))))
(-.f32 (+.f32 (.f32 -1/24 (/.f32 (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 2))) (.f32 9/4 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))) (pow.f32 x 4))) (log.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))) (.f32 1/4 (/.f32 1 (.f32 (pow.f32 x 2) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))))))
(-.f32 (+.f32 (.f32 -1/24 (/.f32 (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 2))) (.f32 9/4 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))) (pow.f32 x 4))) (+.f32 (log.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (.f32 -1/720 (/.f32 (+.f32 (.f32 135/8 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 2))) (+.f32 (.f32 75/2 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))) (.f32 15/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 3))))) (pow.f32 x 6))))) (.f32 1/4 (/.f32 1 (.f32 (pow.f32 x 2) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))))
(log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (.f32 1/4 (/.f32 1 (.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (pow.f32 x 2)))))
(+.f32 (log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (pow.f32 x 2)))) (.f32 1/24 (/.f32 (-.f32 (.f32 9/4 (/.f32 1 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))) (*.f32 3/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)))) (pow.f32 x 4)))))
(+.f32 (log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (+.f32 (.f32 1/720 (/.f32 (-.f32 (+.f32 (.f32 75/2 (/.f32 1 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))) (.f32 15/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 3)))) (.f32 135/8 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)))) (pow.f32 x 6))) (+.f32 (.f32 1/4 (/.f32 1 (.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (pow.f32 x 2)))) (.f32 1/24 (/.f32 (-.f32 (.f32 9/4 (/.f32 1 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))) (*.f32 3/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)))) (pow.f32 x 4))))))
(+.f32 1 (-.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1))
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.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))))))
(+.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))))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(*.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(*.f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))
(*.f32 (pow.f32 (cbrt.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))))))
(*.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))))))
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (exp.f32 1) (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2)) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))
(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)))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (log.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 0 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(-.f32 (+.f32 1 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1)
(*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)
(*.f32 1 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(*.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)
(pow.f32 (pow.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 3)
(pow.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2)
(sqrt.f32 (pow.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))
(cbrt.f32 (pow.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3))
(expm1.f32 (log1p.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log1p.f32 (-.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1))
(exp.f32 (log.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))

Outputs
(log.f32 (sqrt.f32 -1))
(+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))
(+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))))
(+.f32 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) (*.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1))))
(+.f32 (/.f32 x (sqrt.f32 -1)) (fma.f32 1/6 (/.f32 (pow.f32 x 3) (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)))))
(fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))))
(+.f32 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) (fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (*.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1)))))
(fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (+.f32 (/.f32 x (sqrt.f32 -1)) (fma.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2))
(+.f32 (log.f32 2) (log.f32 x))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (/.f32 1/4 (*.f32 x x)))
(+.f32 (log.f32 2) (-.f32 (log.f32 x) (/.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 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4))))
(-.f32 (-.f32 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 3/32 (pow.f32 x 4))) (/.f32 1/4 (*.f32 x x)))
(+.f32 (log.f32 x) (+.f32 (log.f32 2) (+.f32 (/.f32 -1/4 (*.f32 x x)) (/.f32 -3/32 (pow.f32 x 4)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6)))))
(-.f32 (-.f32 (-.f32 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 3/32 (pow.f32 x 4))) (/.f32 1/4 (*.f32 x x))) (/.f32 5/96 (pow.f32 x 6)))
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (-.f32 (+.f32 (/.f32 -1/4 (*.f32 x x)) (/.f32 -3/32 (pow.f32 x 4))) (/.f32 5/96 (pow.f32 x 6)))))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 -1/2)))
(+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4))))
(+.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (log.f32 -1/2))) (/.f32 1/4 (*.f32 x x)))
(+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6)))) (log.f32 -1/2)))
(+.f32 (+.f32 (/.f32 3/32 (pow.f32 x 4)) (log.f32 -1/2)) (+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))) (log.f32 (/.f32 -1 x))))
(+.f32 (+.f32 (/.f32 5/96 (pow.f32 x 6)) (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 -1/2))) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (log.f32 (/.f32 -1 x))))
(log.f32 (log.f32 (sqrt.f32 -1)))
(+.f32 (log.f32 (log.f32 (sqrt.f32 -1))) (/.f32 x (*.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 -1)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 x 2) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (log.f32 (sqrt.f32 -1)) 2)))) (+.f32 (log.f32 (log.f32 (sqrt.f32 -1))) (/.f32 x (*.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 -1))))))
(fma.f32 -1/2 (/.f32 (.f32 x x) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (log.f32 (sqrt.f32 -1)) 2))) (+.f32 (log.f32 (log.f32 (sqrt.f32 -1))) (/.f32 x (*.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 -1))))))
(+.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 x x) (pow.f32 (log.f32 (sqrt.f32 -1)) 2))) (/.f32 x (*.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 -1))))) (log.f32 (log.f32 (sqrt.f32 -1))))
(+.f32 (log.f32 (log.f32 (sqrt.f32 -1))) (fma.f32 1/2 (/.f32 (.f32 x x) (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) (/.f32 x (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 -1))))))
(+.f32 (.f32 1/6 (.f32 (-.f32 (.f32 2 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 (log.f32 (sqrt.f32 -1)) 3)))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (log.f32 (sqrt.f32 -1))))) (pow.f32 x 3))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 x 2) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (log.f32 (sqrt.f32 -1)) 2)))) (+.f32 (log.f32 (log.f32 (sqrt.f32 -1))) (/.f32 x (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 -1)))))))
(fma.f32 1/6 (.f32 (pow.f32 x 3) (-.f32 (/.f32 2 (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 (log.f32 (sqrt.f32 -1)) 3))) (/.f32 1 (.f32 (log.f32 (sqrt.f32 -1)) (pow.f32 (sqrt.f32 -1) 3))))) (fma.f32 -1/2 (/.f32 (.f32 x x) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (log.f32 (sqrt.f32 -1)) 2))) (+.f32 (log.f32 (log.f32 (sqrt.f32 -1))) (/.f32 x (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 -1)))))))
(+.f32 (+.f32 (log.f32 (log.f32 (sqrt.f32 -1))) (/.f32 x (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 -1))))) (fma.f32 (.f32 1/6 (fma.f32 2 (/.f32 (/.f32 -1 (sqrt.f32 -1)) (pow.f32 (log.f32 (sqrt.f32 -1)) 3)) (/.f32 (neg.f32 (/.f32 -1 (sqrt.f32 -1))) (log.f32 (sqrt.f32 -1))))) (pow.f32 x 3) (.f32 1/2 (/.f32 (.f32 x x) (pow.f32 (log.f32 (sqrt.f32 -1)) 2)))))
(+.f32 (/.f32 x (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 -1)))) (fma.f32 (pow.f32 x 3) (fma.f32 1/6 (/.f32 (/.f32 -2 (sqrt.f32 -1)) (pow.f32 (log.f32 (sqrt.f32 -1)) 3)) (/.f32 -1/6 (.f32 (sqrt.f32 -1) (neg.f32 (log.f32 (sqrt.f32 -1)))))) (fma.f32 1/2 (/.f32 (*.f32 x x) (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) (log.f32 (log.f32 (sqrt.f32 -1))))))
(log.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))))
(log.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)))
(log.f32 (+.f32 (log.f32 2) (log.f32 x)))
(-.f32 (log.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (.f32 1/4 (/.f32 1 (.f32 (pow.f32 x 2) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))))
(-.f32 (log.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2))) (/.f32 1/4 (.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (.f32 x x))))
(+.f32 (log.f32 (+.f32 (log.f32 2) (log.f32 x))) (/.f32 (/.f32 -1/4 (*.f32 x x)) (+.f32 (log.f32 2) (log.f32 x))))
(-.f32 (+.f32 (.f32 -1/24 (/.f32 (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 2))) (.f32 9/4 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))) (pow.f32 x 4))) (log.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))) (.f32 1/4 (/.f32 1 (.f32 (pow.f32 x 2) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))))))
(-.f32 (fma.f32 -1/24 (/.f32 (+.f32 (/.f32 3/4 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) 2)) (/.f32 9/4 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)))) (pow.f32 x 4)) (log.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)))) (/.f32 1/4 (.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (.f32 x x))))
(+.f32 (fma.f32 -1/24 (/.f32 (+.f32 (/.f32 3/4 (pow.f32 (+.f32 (log.f32 2) (log.f32 x)) 2)) (/.f32 9/4 (+.f32 (log.f32 2) (log.f32 x)))) (pow.f32 x 4)) (log.f32 (+.f32 (log.f32 2) (log.f32 x)))) (/.f32 (/.f32 -1/4 (*.f32 x x)) (+.f32 (log.f32 2) (log.f32 x))))
(+.f32 (+.f32 (log.f32 (+.f32 (log.f32 2) (log.f32 x))) (/.f32 (/.f32 -1/4 (*.f32 x x)) (+.f32 (log.f32 2) (log.f32 x)))) (/.f32 (+.f32 (/.f32 -1/32 (pow.f32 (+.f32 (log.f32 2) (log.f32 x)) 2)) (/.f32 -3/32 (+.f32 (log.f32 2) (log.f32 x)))) (pow.f32 x 4)))
(-.f32 (+.f32 (.f32 -1/24 (/.f32 (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 2))) (.f32 9/4 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))) (pow.f32 x 4))) (+.f32 (log.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (.f32 -1/720 (/.f32 (+.f32 (.f32 135/8 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 2))) (+.f32 (.f32 75/2 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))) (.f32 15/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 3))))) (pow.f32 x 6))))) (.f32 1/4 (/.f32 1 (.f32 (pow.f32 x 2) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))))
(-.f32 (+.f32 (fma.f32 -1/24 (/.f32 (+.f32 (/.f32 3/4 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) 2)) (/.f32 9/4 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)))) (pow.f32 x 4)) (log.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)))) (.f32 -1/720 (/.f32 (+.f32 (/.f32 135/8 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) 2)) (+.f32 (/.f32 75/2 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2))) (/.f32 15/4 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) 3)))) (pow.f32 x 6)))) (/.f32 1/4 (.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (*.f32 x x))))
(fma.f32 -1/24 (/.f32 (+.f32 (/.f32 3/4 (pow.f32 (+.f32 (log.f32 2) (log.f32 x)) 2)) (/.f32 9/4 (+.f32 (log.f32 2) (log.f32 x)))) (pow.f32 x 4)) (+.f32 (fma.f32 -1/720 (/.f32 (+.f32 (/.f32 135/8 (pow.f32 (+.f32 (log.f32 2) (log.f32 x)) 2)) (+.f32 (/.f32 75/2 (+.f32 (log.f32 2) (log.f32 x))) (/.f32 15/4 (pow.f32 (+.f32 (log.f32 2) (log.f32 x)) 3)))) (pow.f32 x 6)) (log.f32 (+.f32 (log.f32 2) (log.f32 x)))) (/.f32 (/.f32 -1/4 (*.f32 x x)) (+.f32 (log.f32 2) (log.f32 x)))))
(+.f32 (log.f32 (+.f32 (log.f32 2) (log.f32 x))) (-.f32 (+.f32 (/.f32 (+.f32 (/.f32 -1/32 (pow.f32 (+.f32 (log.f32 2) (log.f32 x)) 2)) (/.f32 -3/32 (+.f32 (log.f32 2) (log.f32 x)))) (pow.f32 x 4)) (/.f32 (fma.f32 -1/720 (+.f32 (/.f32 135/8 (pow.f32 (+.f32 (log.f32 2) (log.f32 x)) 2)) (/.f32 75/2 (+.f32 (log.f32 2) (log.f32 x)))) (/.f32 -1/192 (pow.f32 (+.f32 (log.f32 2) (log.f32 x)) 3))) (pow.f32 x 6))) (/.f32 1/4 (.f32 x (.f32 x (+.f32 (log.f32 2) (log.f32 x)))))))
(log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (.f32 1/4 (/.f32 1 (.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (pow.f32 x 2)))))
(+.f32 (log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (/.f32 1/4 (.f32 (.f32 x x) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))))
(+.f32 (log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (/.f32 1/4 (.f32 x (.f32 x (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))))))
(+.f32 (log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (+.f32 (.f32 1/4 (/.f32 1 (.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (pow.f32 x 2)))) (.f32 1/24 (/.f32 (-.f32 (.f32 9/4 (/.f32 1 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))) (*.f32 3/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)))) (pow.f32 x 4)))))
(+.f32 (log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (+.f32 (/.f32 1/4 (.f32 (.f32 x x) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))) (*.f32 1/24 (/.f32 (-.f32 (/.f32 9/4 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (/.f32 3/4 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2))) (pow.f32 x 4)))))
(+.f32 (log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (fma.f32 1/24 (/.f32 (+.f32 (/.f32 9/4 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (/.f32 -3/4 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2))) (pow.f32 x 4)) (/.f32 1/4 (.f32 x (.f32 x (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))))))
(+.f32 (/.f32 1/4 (.f32 x (.f32 x (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))))) (+.f32 (log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (/.f32 (+.f32 (/.f32 3/32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (/.f32 -1/32 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2))) (pow.f32 x 4))))
(+.f32 (log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (+.f32 (.f32 1/720 (/.f32 (-.f32 (+.f32 (.f32 75/2 (/.f32 1 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))) (.f32 15/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 3)))) (.f32 135/8 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)))) (pow.f32 x 6))) (+.f32 (.f32 1/4 (/.f32 1 (.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (pow.f32 x 2)))) (.f32 1/24 (/.f32 (-.f32 (.f32 9/4 (/.f32 1 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))) (*.f32 3/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)))) (pow.f32 x 4))))))
(+.f32 (log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (fma.f32 1/720 (/.f32 (+.f32 (/.f32 75/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (-.f32 (/.f32 15/4 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 3)) (/.f32 135/8 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)))) (pow.f32 x 6)) (+.f32 (/.f32 1/4 (.f32 (.f32 x x) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))) (*.f32 1/24 (/.f32 (-.f32 (/.f32 9/4 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (/.f32 3/4 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2))) (pow.f32 x 4))))))
(+.f32 (log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (fma.f32 1/720 (/.f32 (+.f32 (/.f32 75/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (+.f32 (/.f32 15/4 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 3)) (/.f32 -135/8 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2)))) (pow.f32 x 6)) (fma.f32 1/24 (/.f32 (+.f32 (/.f32 9/4 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (/.f32 -3/4 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2))) (pow.f32 x 4)) (/.f32 1/4 (.f32 x (.f32 x (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))))))))
(+.f32 (/.f32 1/4 (.f32 x (.f32 x (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))))) (+.f32 (+.f32 (/.f32 (+.f32 (/.f32 3/32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (/.f32 -1/32 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2))) (pow.f32 x 4)) (/.f32 (fma.f32 1/720 (+.f32 (/.f32 75/2 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (/.f32 15/4 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 3))) (/.f32 -3/128 (pow.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) 2))) (pow.f32 x 6))) (log.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))))
(+.f32 1 (-.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(+.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))))))
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(+.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))))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(neg.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (-.f32 (fma.f32 x x (fma.f32 x x -1)) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(*.f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(*.f32 (pow.f32 (cbrt.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))))))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (exp.f32 1) (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (E.f32) (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2)) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))
(log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))
(log1p.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (-.f32 x 1)))
(log1p.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 -1 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (log.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 0 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(-.f32 (+.f32 1 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 1 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (pow.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3) 1/3)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 3)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(sqrt.f32 (pow.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(cbrt.f32 (pow.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(expm1.f32 (log1p.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log1p.f32 (-.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(exp.f32 (log.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))

eval591.0ms (9.2%)

Compiler: Compiled 23567 to 17217 computations (26.9% saved)

prune305.0ms (4.8%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1330	6	1336
Fresh	4	1	5
Picked	1	0	1
Done	0	5	5
Total	1335	12	1347

Error

Counts

1347 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	16.0b	(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
▶	0.9b	(+.f32 (log1p.f32 1) (log.f32 x))
▶	1.0b	(+.f32 (log.f32 2) (*.f32 3 (log.f32 (cbrt.f32 x))))
▶	23.7b	(*.f32 (log.f32 (+.f32 x x)) 1/3)
▶	15.8b	(.f32 1/3 (.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
▶	15.6b	(log1p.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (-.f32 x 1)))
✓	0.5b	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	0.5b	(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
✓	15.7b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	15.6b	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1)))))
✓	0.8b	(log.f32 (+.f32 x x))
	30.0b	0

Compiler

Compiled 163 to 124 computations (23.9% saved)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 x)
✓	0.3b	(+.f32 (log1p.f32 1) (log.f32 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series45.0ms (0.7%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	(+.f32 (log1p.f32 1) (log.f32 x))
16.0ms	x	@	0	(+.f32 (log1p.f32 1) (log.f32 x))
8.0ms	x	@	inf	(+.f32 (log1p.f32 1) (log.f32 x))
0.0ms	x	@	0	(log.f32 x)
0.0ms	x	@	-inf	(log.f32 x)

rewrite46.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`pow1_binary32`
552×	`add-log-exp_binary32`
552×	`expm1-log1p-u_binary32`
551×	`log1p-expm1-u_binary32`
540×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	119	9
2	1500	9

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(+.f32 (log1p.f32 1) (log.f32 x))
(log.f32 x)

Outputs

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

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

813×	`fma-neg_binary32`
679×	`div-sub_binary32`
606×	`fma-def_binary32`
318×	`unswap-sqr_binary32`
283×	`log-prod_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	791
1	272	675
2	1056	665
3	6019	665

Stop Event

1×	node limit

Counts

71 → 73

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(log.f32 (+.f32 x x))
✓	0.4b	(*.f32 (log.f32 (+.f32 x x)) 1/3)

Compiler

Compiled 16 to 6 computations (62.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f32 (log.f32 (+.f32 x x)) 1/3)
0.0ms	x	@	inf	(*.f32 (log.f32 (+.f32 x x)) 1/3)
0.0ms	x	@	-inf	(*.f32 (log.f32 (+.f32 x x)) 1/3)

rewrite34.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

475×	`pow1_binary32`
466×	`add-sqr-sqrt_binary32`
448×	`add-log-exp_binary32`
447×	`log1p-expm1-u_binary32`
447×	`expm1-log1p-u_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	126	6
2	1649	6

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(*.f32 (log.f32 (+.f32 x x)) 1/3)

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

simplify39.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-def_binary32`
507×	`fma-neg_binary32`
294×	`log-prod_binary32`
264×	`associate-+l+_binary32`
238×	`cancel-sign-sub-inv_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	245
1	136	223
2	426	223
3	2072	223
4	5648	223

Stop Event

1×	node limit

Counts

28 → 26

Calls

Call 1

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

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

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (cbrt.f32 x))
✓	0.1b	(cbrt.f32 x)
✓	0.3b	(+.f32 (log.f32 2) (*.f32 3 (log.f32 (cbrt.f32 x))))
✓	0.3b	(*.f32 3 (log.f32 (cbrt.f32 x)))

Compiler

Compiled 24 to 14 computations (41.7% saved)

series6.0ms (0.1%)

Counts

4 → 0

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f32 3 (log.f32 (cbrt.f32 x)))
1.0ms	x	@	-inf	(*.f32 3 (log.f32 (cbrt.f32 x)))
0.0ms	x	@	inf	(*.f32 3 (log.f32 (cbrt.f32 x)))
0.0ms	x	@	inf	(+.f32 (log.f32 2) (*.f32 3 (log.f32 (cbrt.f32 x))))
0.0ms	x	@	-inf	(cbrt.f32 x)

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`pow1_binary32`
783×	`add-log-exp_binary32`
783×	`log1p-expm1-u_binary32`
783×	`expm1-log1p-u_binary32`
767×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	183	17
2	2238	17

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

Inputs
(*.f32 3 (log.f32 (cbrt.f32 x)))
(+.f32 (log.f32 2) (*.f32 3 (log.f32 (cbrt.f32 x))))
(cbrt.f32 x)
(log.f32 (cbrt.f32 x))

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

simplify38.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-def_binary32`
558×	`unswap-sqr_binary32`
361×	`distribute-rgt-in_binary32`
333×	`distribute-lft-in_binary32`
223×	`fma-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	1068
1	382	776
2	1529	706

Stop Event

1×	node limit

Counts

91 → 109

Calls

Call 1

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

Outputs
(+.f32 (log.f32 (pow.f32 (cbrt.f32 x) 2)) (log.f32 (cbrt.f32 x)))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 x))) (log.f32 (cbrt.f32 x)))
(*.f32 (log.f32 (cbrt.f32 x)) 3)
(+.f32 0 (log.f32 x))
(log.f32 x)
(+.f32 (log.f32 (sqrt.f32 x)) (log.f32 (sqrt.f32 x)))
(*.f32 2 (log.f32 (sqrt.f32 x)))
(-.f32 (+.f32 1 (log.f32 x)) 1)
(log.f32 x)
(pow.f32 (log.f32 x) 1)
(log.f32 x)
(pow.f32 (cbrt.f32 (log.f32 x)) 3)
(log.f32 x)
(pow.f32 (sqrt.f32 (log.f32 x)) 2)
(log.f32 x)
(pow.f32 (pow.f32 (log.f32 x) 3) 1/3)
(log.f32 x)
(sqrt.f32 (pow.f32 (log.f32 x) 2))
(log.f32 x)
(log.f32 x)
(cbrt.f32 (pow.f32 (log.f32 x) 3))
(log.f32 x)
(expm1.f32 (log1p.f32 (log.f32 x)))
(log.f32 x)
(log1p.f32 (-.f32 x 1))
(log1p.f32 (+.f32 x -1))
(exp.f32 (log.f32 (log.f32 x)))
(log.f32 x)
(-.f32 (+.f32 1 (log.f32 (*.f32 x 2))) 1)
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(-.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 x 2)) (/.f32 (log.f32 (/.f32 2 x)) (log.f32 (/.f32 2 x))))
(.f32 (log.f32 (.f32 x 2)) 1)
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(.f32 1 (log.f32 (.f32 x 2)))
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(.f32 (cbrt.f32 (log.f32 (.f32 x 2))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2))
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 x 2))) 2) (cbrt.f32 (log.f32 (*.f32 x 2))))
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(.f32 (sqrt.f32 (log.f32 (.f32 x 2))) (sqrt.f32 (log.f32 (*.f32 x 2))))
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(.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 x) 3) (pow.f32 (log.f32 2) 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 x) 3) (pow.f32 (log.f32 2) 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 x) 3) (pow.f32 (log.f32 2) 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)) (/.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 x 2)) (/.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 x) 3) (pow.f32 (log.f32 2) 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 x) 3) (pow.f32 (log.f32 2) 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 x) 3) (pow.f32 (log.f32 2) 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 x 2)) (/.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 x) 3) (pow.f32 (log.f32 2) 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 x) 3) (pow.f32 (log.f32 2) 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 x) 3) (pow.f32 (log.f32 2) 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 x) (log.f32 2)))))
(/.f32 (.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 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 x) 3) (pow.f32 (log.f32 2) 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 x) 3) (pow.f32 (log.f32 2) 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 x 2)) (/.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 x) 3) (pow.f32 (log.f32 2) 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 x) 3) (pow.f32 (log.f32 2) 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 x) 3) (pow.f32 (log.f32 2) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 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 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x)))
(/.f32 (log.f32 (*.f32 x 2)) (/.f32 (log.f32 (/.f32 2 x)) (log.f32 (/.f32 2 x))))
(/.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 x 2)) (/.f32 (log.f32 (/.f32 2 x)) (log.f32 (/.f32 2 x))))
(pow.f32 (log.f32 (*.f32 x 2)) 1)
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(pow.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) 1/3)
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 3)
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(pow.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) 2)
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(sqrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2))
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(log.f32 (*.f32 x 2))
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3))
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 x 2))))
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(log1p.f32 (-.f32 (*.f32 x 2) 1))
(log1p.f32 (fma.f32 x 2 -1))
(exp.f32 (log.f32 (log.f32 (*.f32 x 2))))
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(fma.f32 3 (log.f32 (cbrt.f32 x)) (log.f32 2))
(fma.f32 (log.f32 (cbrt.f32 x)) 3 (log.f32 2))
(fma.f32 (log.f32 (cbrt.f32 x)) 3 (log.f32 2))
(fma.f32 3 (log.f32 (cbrt.f32 x)) (log.f32 2))
(fma.f32 1 (log.f32 x) (log.f32 2))
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(fma.f32 1 (log.f32 2) (log.f32 x))
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (log.f32 x))
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(fma.f32 (cbrt.f32 (pow.f32 (log.f32 x) 2)) (cbrt.f32 (log.f32 x)) (log.f32 2))
(fma.f32 (cbrt.f32 (log.f32 x)) (cbrt.f32 (pow.f32 (log.f32 x) 2)) (log.f32 2))
(fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (log.f32 x))
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
(+.f32 1 (-.f32 (log.f32 (*.f32 x 2)) 1))
(log.f32 (*.f32 x 2))
(+.f32 1 (-.f32 (cbrt.f32 x) 1))
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(-.f32 (+.f32 1 (cbrt.f32 x)) 1)
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(*.f32 (cbrt.f32 x) 1)
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(*.f32 1 (cbrt.f32 x))
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(*.f32 (cbrt.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 (cbrt.f32 x)) 2))
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 x)) 2) (cbrt.f32 (cbrt.f32 x)))
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(*.f32 (pow.f32 x 1/6) (pow.f32 x 1/6))
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(*.f32 (pow.f32 1 1/3) (cbrt.f32 x))
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 x) 2) 1/3) (cbrt.f32 (cbrt.f32 x)))
(*.f32 (cbrt.f32 (cbrt.f32 x)) (cbrt.f32 (pow.f32 (cbrt.f32 x) 2)))
(*.f32 (pow.f32 (sqrt.f32 x) 1/3) (pow.f32 (sqrt.f32 x) 1/3))
(*.f32 (cbrt.f32 (sqrt.f32 x)) (cbrt.f32 (sqrt.f32 x)))
(pow.f32 x 1/3)
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(pow.f32 (cbrt.f32 x) 1)
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(pow.f32 (cbrt.f32 (cbrt.f32 x)) 3)
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(pow.f32 (pow.f32 x 1/6) 2)
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cbrt.f32 x)))) (sqrt.f32 (log.f32 (cbrt.f32 x))))
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(pow.f32 (exp.f32 1) (log.f32 (cbrt.f32 x)))
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 x))) 2)) (cbrt.f32 (log.f32 (cbrt.f32 x))))
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(sqrt.f32 (pow.f32 (cbrt.f32 x) 2))
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(log.f32 (exp.f32 (cbrt.f32 x)))
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(expm1.f32 (log1p.f32 (cbrt.f32 x)))
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(log1p.f32 (expm1.f32 (cbrt.f32 x)))
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(exp.f32 (log.f32 (cbrt.f32 x)))
(+.f32 1 (+.f32 (cbrt.f32 x) -1))
(+.f32 (cbrt.f32 x) 0)
(cbrt.f32 x)
(+.f32 (log.f32 (pow.f32 x 1/6)) (log.f32 (pow.f32 x 1/6)))
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (cbrt.f32 x)) 2)) (log.f32 (cbrt.f32 (cbrt.f32 x))))
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(+.f32 0 (log.f32 (cbrt.f32 x)))
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(-.f32 (+.f32 1 (log.f32 (cbrt.f32 x))) 1)
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(*.f32 (log.f32 (cbrt.f32 x)) 1)
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(*.f32 (log.f32 x) 1/3)
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(*.f32 1 (log.f32 (cbrt.f32 x)))
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(*.f32 (cbrt.f32 (log.f32 (cbrt.f32 x))) (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 x))) 2))
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 x))) 2) (cbrt.f32 (log.f32 (cbrt.f32 x))))
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(*.f32 (sqrt.f32 (log.f32 (cbrt.f32 x))) (sqrt.f32 (log.f32 (cbrt.f32 x))))
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(*.f32 1/3 (log.f32 x))
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(pow.f32 (log.f32 (cbrt.f32 x)) 1)
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(pow.f32 (pow.f32 (log.f32 (cbrt.f32 x)) 3) 1/3)
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 x))) 3)
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(pow.f32 (sqrt.f32 (log.f32 (cbrt.f32 x))) 2)
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(sqrt.f32 (pow.f32 (log.f32 (cbrt.f32 x)) 2))
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(cbrt.f32 (pow.f32 (log.f32 (cbrt.f32 x)) 3))
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(expm1.f32 (log1p.f32 (log.f32 (cbrt.f32 x))))
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(log1p.f32 (-.f32 (cbrt.f32 x) 1))
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))
(exp.f32 (log.f32 (log.f32 (cbrt.f32 x))))
(.f32 2 (.f32 1/6 (log.f32 x)))
(log.f32 (cbrt.f32 x))

localize36.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (sqrt.f32 (fma.f32 x x -1)) (-.f32 x 1))
✓	0.1b	(log1p.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (-.f32 x 1)))
	13.4b	(sqrt.f32 (fma.f32 x x -1))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (-.f32 x 1)))
0.0ms	x	@	inf	(log1p.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (-.f32 x 1)))
0.0ms	x	@	-inf	(log1p.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (-.f32 x 1)))
0.0ms	x	@	0	(+.f32 (sqrt.f32 (fma.f32 x x -1)) (-.f32 x 1))
0.0ms	x	@	inf	(+.f32 (sqrt.f32 (fma.f32 x x -1)) (-.f32 x 1))

rewrite47.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`pow1_binary32`
890×	`add-log-exp_binary32`
888×	`expm1-log1p-u_binary32`
887×	`log1p-expm1-u_binary32`
94×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	189	28
2	2480	28

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(log1p.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (-.f32 x 1)))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (-.f32 x 1))

Outputs

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

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

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

494×	`fma-def_binary32`
385×	`distribute-rgt-in_binary32`
358×	`associate-+l+_binary32`
339×	`distribute-lft-in_binary32`
320×	`unswap-sqr_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	1489
1	578	1445
2	1955	1387

Stop Event

1×	node limit

Counts

77 → 143

Calls

Call 1

Inputs
(log.f32 (sqrt.f32 -1))
(+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))))
(+.f32 (.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))))
(-.f32 (sqrt.f32 -1) 1)
(-.f32 (+.f32 (sqrt.f32 -1) x) 1)
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x)) 1)
(-.f32 (+.f32 (.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x))) 1)
(*.f32 2 x)
(-.f32 (*.f32 2 x) 1)
(-.f32 (.f32 2 x) (+.f32 (.f32 1/2 (/.f32 1 x)) 1))
(-.f32 (.f32 2 x) (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 1 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))))
-1
(-.f32 (*.f32 1/2 (/.f32 1 x)) 1)
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3)))) 1)
(-.f32 (+.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))))) 1)
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))))) 1)
(*.f32 1 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 1)
(*.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))))) (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))))) 2) (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))))))
(*.f32 (sqrt.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 1)
(pow.f32 (pow.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 2))
(log.f32 (+.f32 (+.f32 1 (+.f32 x -1)) (sqrt.f32 (fma.f32 x x -1))))
(cbrt.f32 (pow.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))))))
(exp.f32 (log.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))))))
(-.f32 x (-.f32 1 (sqrt.f32 (fma.f32 x x -1))))
(-.f32 (+.f32 (+.f32 1 (+.f32 x -1)) (sqrt.f32 (fma.f32 x x -1))) 1)
(-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)
(-.f32 (/.f32 (fma.f32 x x -1) (+.f32 (-.f32 (sqrt.f32 (fma.f32 x x -1)) x) 1)) (/.f32 (pow.f32 (+.f32 x -1) 2) (+.f32 (-.f32 (sqrt.f32 (fma.f32 x x -1)) x) 1)))
(*.f32 1 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 1)
(*.f32 (cbrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (cbrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 2) (cbrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 (sqrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))))
(.f32 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 (+.f32 x -1) 3)) (/.f32 1 (+.f32 (fma.f32 x x -1) (.f32 (+.f32 x -1) (-.f32 (+.f32 x -1) (sqrt.f32 (fma.f32 x x -1)))))))
(*.f32 (-.f32 (fma.f32 x x -1) (pow.f32 (+.f32 x -1) 2)) (/.f32 1 (+.f32 (-.f32 (sqrt.f32 (fma.f32 x x -1)) x) 1)))
(/.f32 1 (/.f32 (+.f32 (fma.f32 x x -1) (*.f32 (+.f32 x -1) (-.f32 (+.f32 x -1) (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 (+.f32 x -1) 3))))
(/.f32 1 (/.f32 (+.f32 (-.f32 (sqrt.f32 (fma.f32 x x -1)) x) 1) (-.f32 (fma.f32 x x -1) (pow.f32 (+.f32 x -1) 2))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 (+.f32 x -1) 3)) (+.f32 (fma.f32 x x -1) (*.f32 (+.f32 x -1) (-.f32 (+.f32 x -1) (sqrt.f32 (fma.f32 x x -1))))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 (+.f32 x -1) 3)) (+.f32 (pow.f32 (+.f32 x -1) 2) (-.f32 (fma.f32 x x -1) (*.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x -1)))))
(/.f32 (-.f32 (fma.f32 x x -1) (pow.f32 (+.f32 x -1) 2)) (+.f32 (-.f32 (sqrt.f32 (fma.f32 x x -1)) x) 1))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 (+.f32 x -1) 3))) (neg.f32 (+.f32 (fma.f32 x x -1) (*.f32 (+.f32 x -1) (-.f32 (+.f32 x -1) (sqrt.f32 (fma.f32 x x -1)))))))
(/.f32 (neg.f32 (-.f32 (fma.f32 x x -1) (pow.f32 (+.f32 x -1) 2))) (neg.f32 (+.f32 (-.f32 (sqrt.f32 (fma.f32 x x -1)) x) 1)))
(/.f32 (-.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3) 1) (+.f32 (.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (+.f32 1 (.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))))
(/.f32 (-.f32 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1) (+.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))
(/.f32 (-.f32 (pow.f32 (+.f32 x -1) 2) (fma.f32 x x -1)) (-.f32 (+.f32 x -1) (sqrt.f32 (fma.f32 x x -1))))
(pow.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 1)
(pow.f32 (pow.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 3)
(pow.f32 (sqrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 2)
(sqrt.f32 (pow.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 2))
(log.f32 (exp.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))))))
(cbrt.f32 (pow.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 3))
(expm1.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))))
(log1p.f32 (expm1.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))))
(exp.f32 (log.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))))
(fma.f32 1 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x -1))
(fma.f32 1 (+.f32 x -1) (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))) (+.f32 x -1))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x -1)) 2) (cbrt.f32 (+.f32 x -1)) (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4) (+.f32 x -1))
(fma.f32 (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (fma.f32 x x -1)))

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

localize47.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
✓	0.3b	(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
✓	0.4b	(.f32 1/3 (.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
	13.4b	(sqrt.f32 (fma.f32 x x -1))

Compiler

Compiled 51 to 34 computations (33.3% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
1.0ms	x	@	0	(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
0.0ms	x	@	inf	(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
0.0ms	x	@	0	(.f32 1/3 (.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
0.0ms	x	@	inf	(.f32 1/3 (.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))

rewrite47.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`pow1_binary32`
888×	`add-log-exp_binary32`
888×	`log1p-expm1-u_binary32`
888×	`expm1-log1p-u_binary32`
100×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	226	27
2	2483	27

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

Inputs
(.f32 1/3 (.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))

Outputs

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

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

542×	`associate-r_binary32`
526×	`associate-l_binary32`
502×	`log-prod_binary32`
418×	`fma-def_binary32`
355×	`fma-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1049
1	428	1011
2	1436	994
3	7278	994

Stop Event

1×	node limit

Counts

53 → 110

Calls

Call 1

Inputs
(log.f32 (sqrt.f32 -1))
(+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))))
(+.f32 (.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))))
(*.f32 3 (log.f32 (sqrt.f32 -1)))
(+.f32 (.f32 3 (log.f32 (sqrt.f32 -1))) (.f32 3 (/.f32 x (sqrt.f32 -1))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (.f32 3 (log.f32 (sqrt.f32 -1))) (*.f32 3 (/.f32 x (sqrt.f32 -1)))))
(+.f32 (.f32 9/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (.f32 3 (log.f32 (sqrt.f32 -1))) (.f32 3 (/.f32 x (sqrt.f32 -1))))))
(.f32 3 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))
(-.f32 (.f32 3 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (*.f32 3/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (.f32 3 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 x 2))) (.f32 9/32 (/.f32 1 (pow.f32 x 4)))))
(-.f32 (.f32 3 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (+.f32 (.f32 5/32 (/.f32 1 (pow.f32 x 6))) (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 x 2))) (*.f32 9/32 (/.f32 1 (pow.f32 x 4))))))
(*.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
(+.f32 (.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (.f32 3/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 x 2))) (*.f32 9/32 (/.f32 1 (pow.f32 x 4)))))
(+.f32 (.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (+.f32 (.f32 5/32 (/.f32 1 (pow.f32 x 6))) (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 x 2))) (.f32 9/32 (/.f32 1 (pow.f32 x 4))))))
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.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))))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2))) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1)
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(log.f32 (+.f32 1 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3)))) 1)
(pow.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3)) 1)
(pow.f32 (pow.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3)) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))) 3)
(pow.f32 (sqrt.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))) 2)
(sqrt.f32 (pow.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3)) 2))
(log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))
(log.f32 (+.f32 1 (-.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3) 1)))
(cbrt.f32 (pow.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3)) 3))
(expm1.f32 (log1p.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))))
(log1p.f32 (-.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3) 1))
(exp.f32 (log.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))))

Outputs
(log.f32 (sqrt.f32 -1))
(+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))
(+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))))
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))))
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (/.f32 x (sqrt.f32 -1)) (*.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1)))))
(+.f32 (log.f32 (sqrt.f32 -1)) (fma.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))))
(+.f32 (.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))))
(fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))))
(+.f32 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) (fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (*.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1)))))
(+.f32 (log.f32 (sqrt.f32 -1)) (fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (fma.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2))
(+.f32 (log.f32 2) (log.f32 x))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (/.f32 1/4 (*.f32 x x)))
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (/.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 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4))))
(+.f32 (log.f32 2) (-.f32 (log.f32 x) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4)))))
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (+.f32 (/.f32 -1/4 (*.f32 x x)) (/.f32 -3/32 (pow.f32 x 4)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6)))))
(-.f32 (+.f32 (log.f32 x) (-.f32 (log.f32 2) (/.f32 3/32 (pow.f32 x 4)))) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))))
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (-.f32 (+.f32 (/.f32 -1/4 (*.f32 x x)) (/.f32 -3/32 (pow.f32 x 4))) (/.f32 5/96 (pow.f32 x 6)))))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 -1/2)))
(+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
(+.f32 (/.f32 (/.f32 1/4 x) x) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4))))
(+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4))) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
(+.f32 (/.f32 (/.f32 1/4 x) x) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6)))) (log.f32 -1/2)))
(+.f32 (+.f32 (/.f32 3/32 (pow.f32 x 4)) (log.f32 -1/2)) (+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))) (log.f32 (/.f32 -1 x))))
(+.f32 (/.f32 (/.f32 1/4 x) x) (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 5/96 (pow.f32 x 6)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (log.f32 -1/2)))))
(*.f32 3 (log.f32 (sqrt.f32 -1)))
(*.f32 (log.f32 (sqrt.f32 -1)) 3)
(+.f32 (.f32 3 (log.f32 (sqrt.f32 -1))) (.f32 3 (/.f32 x (sqrt.f32 -1))))
(*.f32 3 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))))
(*.f32 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) 3)
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (.f32 3 (log.f32 (sqrt.f32 -1))) (*.f32 3 (/.f32 x (sqrt.f32 -1)))))
(fma.f32 -1/2 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (*.f32 3 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))))
(fma.f32 3 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) (*.f32 1/2 (/.f32 (pow.f32 x 3) (sqrt.f32 -1))))
(fma.f32 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) 3 (/.f32 (*.f32 1/2 (pow.f32 x 3)) (sqrt.f32 -1)))
(+.f32 (.f32 9/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (.f32 3 (log.f32 (sqrt.f32 -1))) (.f32 3 (/.f32 x (sqrt.f32 -1))))))
(fma.f32 9/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (fma.f32 -1/2 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (*.f32 3 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))))))
(fma.f32 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) 9/40 (fma.f32 3 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) (*.f32 1/2 (/.f32 (pow.f32 x 3) (sqrt.f32 -1)))))
(fma.f32 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) 3 (fma.f32 1/2 (/.f32 (pow.f32 x 3) (sqrt.f32 -1)) (/.f32 (*.f32 (pow.f32 x 5) 9/40) (pow.f32 (sqrt.f32 -1) 5))))
(.f32 3 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))
(*.f32 3 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)))
(*.f32 3 (+.f32 (log.f32 2) (log.f32 x)))
(-.f32 (.f32 3 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (*.f32 3/4 (/.f32 1 (pow.f32 x 2))))
(fma.f32 3 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (neg.f32 (/.f32 3/4 (*.f32 x x))))
(fma.f32 3 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -3/4 (*.f32 x x)))
(-.f32 (.f32 3 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 x 2))) (.f32 9/32 (/.f32 1 (pow.f32 x 4)))))
(-.f32 (.f32 3 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2))) (+.f32 (/.f32 3/4 (.f32 x x)) (/.f32 9/32 (pow.f32 x 4))))
(-.f32 (fma.f32 3 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -3/4 (*.f32 x x))) (/.f32 9/32 (pow.f32 x 4)))
(fma.f32 3 (+.f32 (log.f32 2) (log.f32 x)) (+.f32 (/.f32 -3/4 (*.f32 x x)) (/.f32 -9/32 (pow.f32 x 4))))
(-.f32 (.f32 3 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (+.f32 (.f32 5/32 (/.f32 1 (pow.f32 x 6))) (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 x 2))) (*.f32 9/32 (/.f32 1 (pow.f32 x 4))))))
(-.f32 (.f32 3 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2))) (+.f32 (+.f32 (/.f32 3/4 (.f32 x x)) (/.f32 9/32 (pow.f32 x 4))) (/.f32 5/32 (pow.f32 x 6))))
(-.f32 (-.f32 (fma.f32 3 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -3/4 (*.f32 x x))) (/.f32 9/32 (pow.f32 x 4))) (/.f32 5/32 (pow.f32 x 6)))
(+.f32 (fma.f32 3 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -3/4 (*.f32 x x))) (-.f32 (/.f32 -9/32 (pow.f32 x 4)) (/.f32 5/32 (pow.f32 x 6))))
(*.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
(+.f32 (.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (.f32 3/4 (/.f32 1 (pow.f32 x 2))))
(fma.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (/.f32 3/4 (*.f32 x x)))
(fma.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (/.f32 (/.f32 3/4 x) x))
(+.f32 (.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 x 2))) (*.f32 9/32 (/.f32 1 (pow.f32 x 4)))))
(+.f32 (fma.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (/.f32 3/4 (*.f32 x x))) (/.f32 9/32 (pow.f32 x 4)))
(+.f32 (/.f32 9/32 (pow.f32 x 4)) (fma.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (/.f32 3/4 (*.f32 x x))))
(fma.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 (/.f32 3/4 x) x) (/.f32 9/32 (pow.f32 x 4))))
(+.f32 (.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) (+.f32 (.f32 5/32 (/.f32 1 (pow.f32 x 6))) (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 x 2))) (.f32 9/32 (/.f32 1 (pow.f32 x 4))))))
(fma.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (+.f32 (+.f32 (/.f32 3/4 (*.f32 x x)) (/.f32 9/32 (pow.f32 x 4))) (/.f32 5/32 (pow.f32 x 6))))
(fma.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 9/32 (pow.f32 x 4)) (+.f32 (/.f32 3/4 (*.f32 x x)) (/.f32 5/32 (pow.f32 x 6)))))
(+.f32 (/.f32 (/.f32 3/4 x) x) (+.f32 (/.f32 9/32 (pow.f32 x 4)) (fma.f32 3 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (/.f32 5/32 (pow.f32 x 6)))))
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(+.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))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2))) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1)
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(neg.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (-.f32 (fma.f32 x x (fma.f32 x x -1)) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(log.f32 (+.f32 1 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)))
(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)))) 3))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3)))) 1)
(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3)) 1)
(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (pow.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3)) 3) 1/3)
(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (cbrt.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))) 3)
(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (sqrt.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))) 2)
(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(sqrt.f32 (pow.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3)) 2))
(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))
(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log.f32 (+.f32 1 (-.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3) 1)))
(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(cbrt.f32 (pow.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3)) 3))
(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(expm1.f32 (log1p.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))))
(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log1p.f32 (-.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3) 1))
(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(exp.f32 (log.f32 (log.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))))
(*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))

eval227.0ms (3.5%)

Compiler: Compiled 10945 to 8325 computations (23.9% saved)

prune300.0ms (4.7%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	722	3	725
Fresh	0	2	2
Picked	0	1	1
Done	1	8	9
Total	723	14	737

Error

Counts

737 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.0b	(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
✓	0.9b	(+.f32 (log1p.f32 1) (log.f32 x))
▶	1.0b	(+.f32 (log.f32 2) (.f32 3 (.f32 (log.f32 x) 1/3)))
▶	23.7b	(*.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1) 1/3)
✓	23.7b	(*.f32 (log.f32 (+.f32 x x)) 1/3)
✓	15.8b	(.f32 1/3 (.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
▶	0.5b	(log1p.f32 (-.f32 (*.f32 x 2) (+.f32 1 (/.f32 1/2 x))))
✓	15.6b	(log1p.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (-.f32 x 1)))
✓	0.5b	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	0.5b	(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
✓	15.7b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	15.6b	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1)))))
✓	0.8b	(log.f32 (+.f32 x x))
	30.0b	0

Compiler

Compiled 128 to 98 computations (23.4% saved)

localize34.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f32 1/2 x)
✓	0.0b	(-.f32 (*.f32 x 2) (+.f32 1 (/.f32 1/2 x)))
✓	0.1b	(log1p.f32 (-.f32 (*.f32 x 2) (+.f32 1 (/.f32 1/2 x))))

Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f32 (-.f32 (*.f32 x 2) (+.f32 1 (/.f32 1/2 x))))
0.0ms	x	@	inf	(log1p.f32 (-.f32 (*.f32 x 2) (+.f32 1 (/.f32 1/2 x))))
0.0ms	x	@	-inf	(log1p.f32 (-.f32 (*.f32 x 2) (+.f32 1 (/.f32 1/2 x))))
0.0ms	x	@	0	(-.f32 (*.f32 x 2) (+.f32 1 (/.f32 1/2 x)))
0.0ms	x	@	inf	(-.f32 (*.f32 x 2) (+.f32 1 (/.f32 1/2 x)))

rewrite73.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`prod-diff_binary32`
488×	`fma-def_binary32`
454×	`log-prod_binary32`
269×	`pow2_binary32`
247×	`fma-neg_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	223	24
2	2968	24

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

Inputs
(log1p.f32 (-.f32 (*.f32 x 2) (+.f32 1 (/.f32 1/2 x))))
(-.f32 (*.f32 x 2) (+.f32 1 (/.f32 1/2 x)))

Outputs

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

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

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

825×	`fma-neg_binary32`
385×	`unswap-sqr_binary32`
289×	`sub-neg_binary32`
236×	`fma-def_binary32`
215×	`associate-+r+_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	471	4834
1	1206	4117
2	4250	3426

Stop Event

1×	node limit

Counts

216 → 271

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

localize109.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 1 (log.f32 (+.f32 x x)))
✓	0.0b	(-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1)
	0.1b	(log.f32 (+.f32 x x))
✓	0.4b	(*.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1) 1/3)

Compiler

Compiled 35 to 17 computations (51.4% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1) 1/3)
0.0ms	x	@	-inf	(+.f32 1 (log.f32 (+.f32 x x)))
0.0ms	x	@	inf	(+.f32 1 (log.f32 (+.f32 x x)))
0.0ms	x	@	-inf	(*.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1) 1/3)
0.0ms	x	@	inf	(*.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1) 1/3)

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`pow1_binary32`
800×	`add-log-exp_binary32`
799×	`log1p-expm1-u_binary32`
799×	`expm1-log1p-u_binary32`
789×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	201	21
2	2880	21

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

904×	`times-frac_binary32`
520×	`fma-neg_binary32`
507×	`cancel-sign-sub-inv_binary32`
371×	`associate-/l*_binary32`
300×	`unswap-sqr_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	206	2804
1	491	2489
2	1943	2489

Stop Event

1×	node limit

Counts

169 → 139

Calls

Call 1

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

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

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f32 x)
✓	0.3b	(.f32 3 (.f32 (log.f32 x) 1/3))
✓	0.3b	(+.f32 (log.f32 2) (.f32 3 (.f32 (log.f32 x) 1/3)))
✓	0.4b	(*.f32 (log.f32 x) 1/3)

Compiler

Compiled 28 to 20 computations (28.6% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(+.f32 (log.f32 2) (.f32 3 (.f32 (log.f32 x) 1/3)))
0.0ms	x	@	-inf	(*.f32 (log.f32 x) 1/3)
0.0ms	x	@	0	(*.f32 (log.f32 x) 1/3)
0.0ms	x	@	inf	(*.f32 (log.f32 x) 1/3)
0.0ms	x	@	inf	(+.f32 (log.f32 2) (.f32 3 (.f32 (log.f32 x) 1/3)))

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`pow1_binary32`
826×	`add-log-exp_binary32`
825×	`log1p-expm1-u_binary32`
825×	`expm1-log1p-u_binary32`
812×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	208	14
2	2590	14

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

Inputs
(*.f32 (log.f32 x) 1/3)
(+.f32 (log.f32 2) (.f32 3 (.f32 (log.f32 x) 1/3)))
(.f32 3 (.f32 (log.f32 x) 1/3))

Outputs

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

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

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

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

833×	`fma-neg_binary32`
629×	`fma-def_binary32`
414×	`unswap-sqr_binary32`
411×	`log-prod_binary32`
289×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1011
1	331	937
2	1299	897
3	6762	897

Stop Event

1×	node limit

Counts

97 → 89

Calls

Call 1

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

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

localize49.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
	0.1b	(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
✓	0.7b	(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
	13.4b	(sqrt.f32 (fma.f32 x x -1))

Compiler

Compiled 48 to 31 computations (35.4% saved)

series16.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
5.0ms	x	@	-inf	(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
3.0ms	x	@	0	(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
1.0ms	x	@	inf	(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
1.0ms	x	@	-inf	(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`pow1_binary32`
830×	`add-log-exp_binary32`
830×	`log1p-expm1-u_binary32`
830×	`expm1-log1p-u_binary32`
810×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	209	26
2	2331	26

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))

Outputs

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

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

629×	`distribute-rgt-in_binary32`
619×	`distribute-lft-in_binary32`
536×	`unswap-sqr_binary32`
337×	`fma-def_binary32`
273×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	4038
1	1229	3393
2	4420	3139

Stop Event

1×	node limit

Counts

67 → 132

Calls

Call 1

Inputs
(*.f32 (pow.f32 1 1/3) (log.f32 (sqrt.f32 -1)))
(+.f32 (.f32 (+.f32 (.f32 1/3 (.f32 (/.f32 1 (sqrt.f32 -1)) (pow.f32 (.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9))) (.f32 2/3 (.f32 (/.f32 1 (sqrt.f32 -1)) (pow.f32 (.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9)))) x) (.f32 (pow.f32 1 1/3) (log.f32 (sqrt.f32 -1))))
(+.f32 (.f32 (+.f32 (.f32 -1/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/9))) (+.f32 (.f32 (pow.f32 (.f32 1 (log.f32 (sqrt.f32 -1))) 1/3) (+.f32 (.f32 -2/9 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9) (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)))) (.f32 1/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9))))) (.f32 2/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/9))))) (pow.f32 x 2)) (+.f32 (.f32 (+.f32 (.f32 1/3 (.f32 (/.f32 1 (sqrt.f32 -1)) (pow.f32 (.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9))) (.f32 2/3 (.f32 (/.f32 1 (sqrt.f32 -1)) (pow.f32 (.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9)))) x) (*.f32 (pow.f32 1 1/3) (log.f32 (sqrt.f32 -1)))))
(+.f32 (.f32 (+.f32 (.f32 -1/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/9))) (+.f32 (.f32 (pow.f32 (.f32 1 (log.f32 (sqrt.f32 -1))) 1/3) (+.f32 (.f32 -2/9 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9) (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)))) (.f32 1/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9))))) (.f32 2/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/9))))) (pow.f32 x 2)) (+.f32 (.f32 (+.f32 (.f32 1/3 (.f32 (/.f32 1 (sqrt.f32 -1)) (pow.f32 (.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9))) (.f32 2/3 (.f32 (/.f32 1 (sqrt.f32 -1)) (pow.f32 (.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9)))) x) (+.f32 (.f32 (pow.f32 1 1/3) (log.f32 (sqrt.f32 -1))) (.f32 (+.f32 (.f32 -2/27 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/3)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 1 1/3) (+.f32 (.f32 1/27 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/3))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3))) (.f32 -2/9 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/3)))))))) (+.f32 (.f32 1/3 (.f32 (/.f32 (+.f32 (.f32 -2/9 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9) (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)))) (.f32 1/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9)))) (sqrt.f32 -1)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/9))) (.f32 (pow.f32 (.f32 1 (log.f32 (sqrt.f32 -1))) 1/3) (+.f32 (.f32 -2/27 (.f32 (pow.f32 1 1/9) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (log.f32 (sqrt.f32 -1)))))) (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/3) (+.f32 (.f32 1/27 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/3))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3))) (.f32 -2/9 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/3))))))))))))) (pow.f32 x 3)))))
(.f32 (pow.f32 1 1/3) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 1 1/3) (/.f32 1 (pow.f32 x 2)))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (.f32 -1/12 (.f32 (pow.f32 1 1/3) (/.f32 1 (pow.f32 x 2))))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 1 1/3) (/.f32 1 (pow.f32 x 2)))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (+.f32 (.f32 -1/12 (.f32 (pow.f32 1 1/3) (/.f32 1 (pow.f32 x 2)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 3/32 (.f32 1/48 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))) (pow.f32 x 4)))) (+.f32 (.f32 1/72 (.f32 (pow.f32 1 1/3) (/.f32 1 (.f32 (pow.f32 x 4) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))))) (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) 1/3) (/.f32 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) 1/3) (+.f32 3/32 (.f32 1/48 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))))) (.f32 1/144 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 4)) 1/3))) (pow.f32 x 4))))))))
(+.f32 (.f32 -1/12 (.f32 (pow.f32 1 1/3) (/.f32 1 (pow.f32 x 2)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 3/32 (.f32 1/48 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))) (pow.f32 x 4)))) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) 1/3) (/.f32 (+.f32 (.f32 1/18 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 4)) 1/3) (+.f32 3/32 (.f32 1/48 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))))) (.f32 2/3 (.f32 (-.f32 (.f32 1/1728 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 2))) (+.f32 5/96 (.f32 1/6 (/.f32 (+.f32 3/32 (.f32 1/48 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))))) (pow.f32 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) 1/3)))) (pow.f32 x 6))) (+.f32 (.f32 -1/12 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 2)) 1/3) (/.f32 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) 1/3) (+.f32 3/32 (.f32 1/48 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))))) (.f32 1/144 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 4)) 1/3))) (pow.f32 x 6)))) (+.f32 (.f32 1/72 (.f32 (pow.f32 1 1/3) (/.f32 1 (.f32 (pow.f32 x 4) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 1 1/3) (/.f32 1 (pow.f32 x 2)))) (+.f32 (.f32 1/3 (.f32 (/.f32 (-.f32 (.f32 1/1728 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 2))) (+.f32 5/96 (.f32 1/6 (/.f32 (+.f32 3/32 (.f32 1/48 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))))) (pow.f32 x 6)) (pow.f32 1 1/3))) (+.f32 (.f32 1/18 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 3/32 (.f32 1/48 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))) (.f32 (pow.f32 x 6) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))))) (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) 1/3) (/.f32 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) 1/3) (+.f32 3/32 (.f32 1/48 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))))) (.f32 1/144 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) 4)) 1/3))) (pow.f32 x 4))))))))))))
(*.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
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(*.f32 (pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/3) (pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/3))
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)
(pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/6) 2)
(sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))
(log.f32 (exp.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log1p.f32 (expm1.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(exp.f32 (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))

Outputs
(*.f32 (pow.f32 1 1/3) (log.f32 (sqrt.f32 -1)))
(log.f32 (sqrt.f32 -1))
(+.f32 (.f32 (+.f32 (.f32 1/3 (.f32 (/.f32 1 (sqrt.f32 -1)) (pow.f32 (.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9))) (.f32 2/3 (.f32 (/.f32 1 (sqrt.f32 -1)) (pow.f32 (.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9)))) x) (.f32 (pow.f32 1 1/3) (log.f32 (sqrt.f32 -1))))
(fma.f32 (.f32 (.f32 (/.f32 1 (sqrt.f32 -1)) (*.f32 (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18) (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18))) 1) x (log.f32 (sqrt.f32 -1)))
(fma.f32 (/.f32 (*.f32 (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18) (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18)) (sqrt.f32 -1)) x (log.f32 (sqrt.f32 -1)))
(+.f32 (.f32 (+.f32 (.f32 -1/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/9))) (+.f32 (.f32 (pow.f32 (.f32 1 (log.f32 (sqrt.f32 -1))) 1/3) (+.f32 (.f32 -2/9 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9) (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)))) (.f32 1/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9))))) (.f32 2/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/9))))) (pow.f32 x 2)) (+.f32 (.f32 (+.f32 (.f32 1/3 (.f32 (/.f32 1 (sqrt.f32 -1)) (pow.f32 (.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9))) (.f32 2/3 (.f32 (/.f32 1 (sqrt.f32 -1)) (pow.f32 (.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9)))) x) (*.f32 (pow.f32 1 1/3) (log.f32 (sqrt.f32 -1)))))
(fma.f32 (fma.f32 -1/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (.f32 (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18))) (fma.f32 (cbrt.f32 (log.f32 (sqrt.f32 -1))) (fma.f32 -2/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18))) (.f32 (.f32 1/9 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2))) (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18)))) (.f32 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (.f32 (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18))) 2/9))) (.f32 x x) (fma.f32 (.f32 (.f32 (/.f32 1 (sqrt.f32 -1)) (.f32 (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18) (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18))) 1) x (log.f32 (sqrt.f32 -1))))
(fma.f32 (fma.f32 1/9 (.f32 (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18)) (fma.f32 (cbrt.f32 (log.f32 (sqrt.f32 -1))) (.f32 (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18))) -1/9) (.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18)) -2/9))) (.f32 x x) (fma.f32 (/.f32 (.f32 (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18) (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18)) (sqrt.f32 -1)) x (log.f32 (sqrt.f32 -1))))
(fma.f32 (+.f32 (.f32 (cbrt.f32 (log.f32 (sqrt.f32 -1))) (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18)) 1/9)) (.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18)) -1/9)) (.f32 x x) (fma.f32 (/.f32 (*.f32 (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18) (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18)) (sqrt.f32 -1)) x (log.f32 (sqrt.f32 -1))))
(+.f32 (.f32 (+.f32 (.f32 -1/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/9))) (+.f32 (.f32 (pow.f32 (.f32 1 (log.f32 (sqrt.f32 -1))) 1/3) (+.f32 (.f32 -2/9 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9) (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)))) (.f32 1/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9))))) (.f32 2/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/9))))) (pow.f32 x 2)) (+.f32 (.f32 (+.f32 (.f32 1/3 (.f32 (/.f32 1 (sqrt.f32 -1)) (pow.f32 (.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9))) (.f32 2/3 (.f32 (/.f32 1 (sqrt.f32 -1)) (pow.f32 (.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9)))) x) (+.f32 (.f32 (pow.f32 1 1/3) (log.f32 (sqrt.f32 -1))) (.f32 (+.f32 (.f32 -2/27 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/3)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 1 1/3) (+.f32 (.f32 1/27 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/3))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3))) (.f32 -2/9 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/3)))))))) (+.f32 (.f32 1/3 (.f32 (/.f32 (+.f32 (.f32 -2/9 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9) (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)))) (.f32 1/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/9)))) (sqrt.f32 -1)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/9))) (.f32 (pow.f32 (.f32 1 (log.f32 (sqrt.f32 -1))) 1/3) (+.f32 (.f32 -2/27 (.f32 (pow.f32 1 1/9) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (log.f32 (sqrt.f32 -1)))))) (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/3) (+.f32 (.f32 1/27 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/3))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3))) (.f32 -2/9 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/3))))))))))))) (pow.f32 x 3)))))
(fma.f32 (fma.f32 -1/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (.f32 (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18))) (fma.f32 (cbrt.f32 (log.f32 (sqrt.f32 -1))) (fma.f32 -2/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18))) (.f32 (.f32 1/9 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2))) (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18)))) (.f32 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (.f32 (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18))) 2/9))) (.f32 x x) (+.f32 (fma.f32 (.f32 (.f32 (/.f32 1 (sqrt.f32 -1)) (.f32 (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18) (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18))) 1) x (log.f32 (sqrt.f32 -1))) (.f32 (fma.f32 -2/27 (.f32 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) 1) (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)))) (+.f32 (.f32 -1/3 (fma.f32 1/27 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)))) (+.f32 (/.f32 1/6 (pow.f32 (sqrt.f32 -1) 3)) (.f32 -2/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)))))))) (fma.f32 1/3 (.f32 (/.f32 (fma.f32 -2/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18))) (.f32 (.f32 1/9 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2))) (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18)))) (sqrt.f32 -1)) (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/18))) (.f32 (cbrt.f32 (log.f32 (sqrt.f32 -1))) (fma.f32 -2/27 (/.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (log.f32 (sqrt.f32 -1))) (.f32 -2/3 (.f32 (fma.f32 1/27 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)))) (+.f32 (/.f32 1/6 (pow.f32 (sqrt.f32 -1) 3)) (.f32 -2/9 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2))))))) (cbrt.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))))))))))) (pow.f32 x 3))))
(fma.f32 (fma.f32 1/9 (.f32 (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18)) (fma.f32 (cbrt.f32 (log.f32 (sqrt.f32 -1))) (.f32 (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18))) -1/9) (.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18)) -2/9))) (.f32 x x) (fma.f32 (/.f32 (.f32 (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18) (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18)) (sqrt.f32 -1)) x (fma.f32 (fma.f32 -2/27 (.f32 -1 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2))) (sqrt.f32 -1))) (fma.f32 -1/3 (fma.f32 1/27 (.f32 -1 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2))) (sqrt.f32 -1))) (fma.f32 -2/9 (.f32 -1 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2))) (sqrt.f32 -1))) (/.f32 -1/6 (sqrt.f32 -1)))) (fma.f32 1/3 (/.f32 (.f32 (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18))) -1/9) (/.f32 (sqrt.f32 -1) (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/18)))) (.f32 (cbrt.f32 (log.f32 (sqrt.f32 -1))) (fma.f32 (.f32 -2/3 (cbrt.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))))) (fma.f32 1/27 (.f32 -1 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2))) (sqrt.f32 -1))) (fma.f32 -2/9 (.f32 -1 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2))) (sqrt.f32 -1))) (/.f32 -1/6 (sqrt.f32 -1)))) (/.f32 (.f32 -2/27 (/.f32 -1 (sqrt.f32 -1))) (log.f32 (sqrt.f32 -1)))))))) (pow.f32 x 3) (log.f32 (sqrt.f32 -1)))))
(fma.f32 (+.f32 (.f32 (cbrt.f32 (log.f32 (sqrt.f32 -1))) (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18)) 1/9)) (.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))) 1/18)) -1/9)) (.f32 x x) (fma.f32 (/.f32 (.f32 (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18) (pow.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 4) 1/18)) (sqrt.f32 -1)) x (fma.f32 (fma.f32 -2/27 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2))) (neg.f32 (sqrt.f32 -1))) (fma.f32 -1/3 (+.f32 (/.f32 -1/6 (sqrt.f32 -1)) (.f32 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2))) (neg.f32 (sqrt.f32 -1))) -5/27)) (fma.f32 (cbrt.f32 (log.f32 (sqrt.f32 -1))) (fma.f32 -2/3 (.f32 (+.f32 (/.f32 -1/6 (sqrt.f32 -1)) (.f32 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2))) (neg.f32 (sqrt.f32 -1))) -5/27)) (cbrt.f32 (/.f32 1 (log.f32 (sqrt.f32 -1))))) (/.f32 (/.f32 -2/27 (neg.f32 (sqrt.f32 -1))) (log.f32 (sqrt.f32 -1)))) (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 2)) 1/18)) (/.f32 (.f32 1/3 (.f32 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 4)) 1/18)) 1/9)) (sqrt.f32 -1)))))) (pow.f32 x 3) (log.f32 (sqrt.f32 -1)))))
(.f32 (pow.f32 1 1/3) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 1 1/3) (/.f32 1 (pow.f32 x 2)))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (.f32 -1/12 (.f32 (pow.f32 1 1/3) (/.f32 1 (pow.f32 x 2))))))
(fma.f32 -1/6 (/.f32 1 (.f32 x x)) (+.f32 (+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) (.f32 (/.f32 1 (*.f32 x x)) -1/12)))
(+.f32 (/.f32 -1/6 (.f32 x x)) (+.f32 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -1/12 (.f32 x x))))
(+.f32 (+.f32 (log.f32 2) (log.f32 x)) (.f32 (/.f32 1 (.f32 x x)) -1/4))
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(*.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))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2) 3) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/6) 3) (pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/6) 3))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) 1) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/6)) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/6))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(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)))) 3))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))
(log1p.f32 (+.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) -1))
(log1p.f32 (+.f32 -1 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(-.f32 (+.f32 1 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1)
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 1 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2))
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (pow.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) 1/3))
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/6) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/6))
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) 1/3) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (pow.f32 1 1/3) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/3) (pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/3))
(*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/3)
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 3)
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/6) 2)
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log.f32 (exp.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(expm1.f32 (log1p.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log1p.f32 (expm1.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(exp.f32 (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 1 (-.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(+.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 0)
(cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))

eval477.0ms (7.4%)

Compiler: Compiled 23175 to 18318 computations (21% saved)

prune190.0ms (3%)

Pruning

14 alts after pruning (1 fresh and 13 done)

	Pruned	Kept	Total
New	931	0	931
Fresh	0	1	1
Picked	0	1	1
Done	0	12	12
Total	931	14	945

Error

Counts

945 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.0b	(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
✓	0.9b	(+.f32 (log1p.f32 1) (log.f32 x))
✓	1.0b	(+.f32 (log.f32 2) (.f32 3 (.f32 (log.f32 x) 1/3)))
✓	23.7b	(*.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1) 1/3)
✓	23.7b	(*.f32 (log.f32 (+.f32 x x)) 1/3)
✓	15.8b	(.f32 1/3 (.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
✓	0.5b	(log1p.f32 (-.f32 (*.f32 x 2) (+.f32 1 (/.f32 1/2 x))))
✓	15.6b	(log1p.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (-.f32 x 1)))
✓	0.5b	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	0.5b	(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
✓	15.7b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	15.6b	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1)))))
✓	0.8b	(log.f32 (+.f32 x x))
	30.0b	0

Compiler

Compiled 128 to 98 computations (23.4% saved)

regimes31.0ms (0.5%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
9.0ms	x
8.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))`
0.5b	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))`

Compiler

Compiled 193 to 135 computations (30.1% saved)

regimes5.0ms (0.1%)

Accuracy

Total -30.3b remaining (-3873.6%)

Threshold costs -30.3b (-3873.6%)

Counts

4 → 1

Calls

Call 1

Inputs
0
(log.f32 (+.f32 x x))
(log.f32 (/.f32 1/2 x))
(*.f32 (log.f32 (+.f32 x x)) 1/3)

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary32`
2×	`sub-neg_binary32`
1×	`*-commutative_binary32`
1×	`distribute-neg-frac_binary32`
1×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	13	19
2	20	19
3	22	19
4	23	19

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(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 16 to 11 computations (31.3% saved)

soundness65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

438×	`fma-neg_binary32`
376×	`distribute-rgt-in_binary32`
323×	`distribute-lft-in_binary32`
321×	`cancel-sign-sub-inv_binary32`
256×	`log-prod_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	2505
1	803	2278
2	2971	2084

Stop Event

1×	node limit

Compiler

Compiled 22 to 16 computations (27.3% saved)

end16.0ms (0.2%)

Compiler: Compiled 14 to 9 computations (35.7% saved)