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 (47.4%)

Results

1.2s

8256×

body

256

valid

Bogosity

preprocess13.0ms (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)

simplify111.0ms (4.4%)

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

2 alts after pruning (2 fresh and 0 done)

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

Error

15.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.5b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize38.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	0.0b	(-.f32 (*.f32 x x) 1)
✓	0.0b	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
✓	13.5b	(sqrt.f32 (-.f32 (*.f32 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series65.0ms (2.6%)

Counts

4 → 0

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))

Compiler

Compiled 3610 to 3165 computations (12.3% saved)

rewrite99.0ms (4%)

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

simplify49.0ms (2%)

Algorithm

1×	egg-herbie

Rules

721×	`times-frac_binary32`
353×	`distribute-rgt-in_binary32`
349×	`associate-/l*_binary32`
320×	`distribute-lft-in_binary32`
320×	`fma-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	1771
1	515	1576
2	2091	1382

Stop Event

1×	node limit

Counts

117 → 146

Calls

Call 1

Inputs
(-.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 (+.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)
(+.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 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))))))

Outputs
(-.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 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 (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 (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 (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 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 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))
(*.f32 (fabs.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)))
(*.f32 (sqrt.f32 (+.f32 1 x)) (sqrt.f32 (+.f32 x -1)))
(*.f32 (sqrt.f32 (+.f32 1 x)) (sqrt.f32 (-.f32 x 1)))
(*.f32 (pow.f32 1 1/2) (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 (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 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))
(*.f32 (fabs.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))
(*.f32 (pow.f32 (+.f32 x 1) 1/2) (pow.f32 (+.f32 x -1) 1/2))
(*.f32 (sqrt.f32 (+.f32 1 x)) (sqrt.f32 (+.f32 x -1)))
(*.f32 (sqrt.f32 (+.f32 1 x)) (sqrt.f32 (-.f32 x 1)))
(/.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 -1 (pow.f32 x 6))) (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)))
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 4))) (sqrt.f32 (fma.f32 x x 1)))
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 4))) (hypot.f32 1 x))
(pow.f32 (fma.f32 x x -1) 1/2)
(+.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))
(pow.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))
(pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 3)
(+.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))
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2)
(+.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))
(pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 1/3)
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3/2))
(fabs.f32 (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))
(log.f32 (exp.f32 (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))
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3/2))
(expm1.f32 (log1p.f32 (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))
(log1p.f32 (expm1.f32 (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))
(exp.f32 (log.f32 (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 (+.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 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3)) (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3)) (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 (fma.f32 x x -1) 3/2) (pow.f32 x 3)) (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3)) (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 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3)) (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3)) (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 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3)) (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3)) (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 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3)) (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3)) (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)))
(+.f32 (*.f32 x x) -1)
(fma.f32 x x -1)
(+.f32 -1 (*.f32 x x))
(fma.f32 x x -1)
(*.f32 1 (fma.f32 x x -1))
(fma.f32 x x -1)
(*.f32 (fma.f32 x x -1) 1)
(fma.f32 x x -1)
(*.f32 (sqrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 x x -1)
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2))
(fma.f32 x x -1)
(.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 (cbrt.f32 (fma.f32 x x -1)) (.f32 (sqrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 4))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) (cbrt.f32 (fma.f32 x x -1)))
(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))))
(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 -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 (+.f32 (pow.f32 x 4) -1) (/.f32 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 x 1) (+.f32 x -1))
(fma.f32 x x -1)
(*.f32 (+.f32 x -1) (+.f32 x 1))
(fma.f32 x x -1)
(.f32 (.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 (fma.f32 x x -1) 1/4)) (pow.f32 (fma.f32 x x -1) 1/4))
(fma.f32 x x -1)
(.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 (cbrt.f32 (fma.f32 x x -1)) (.f32 (sqrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 4))
(/.f32 1 (/.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (pow.f32 x 6) -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 1 (/.f32 (fma.f32 x x 1) (+.f32 (pow.f32 x 4) -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 6) -1) (+.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 (+.f32 (pow.f32 x 6) -1) (+.f32 (pow.f32 x 4) (-.f32 1 (.f32 (.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 (+.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 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 (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))))))
(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 (+.f32 1 (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 (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 (fma.f32 x x -1) 3/2) (pow.f32 x 3))) (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 (fma.f32 x x -1) 3/2) (pow.f32 x 3))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (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 (log.f32 (-.f32 (fma.f32 x x 1) (*.f32 x x))) (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 1 (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 (+.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))
(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))))))
(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))))))
(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)
(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))))
(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))))

eval42.0ms (1.7%)

Compiler: Compiled 2138 to 1472 computations (31.2% saved)

prune21.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	145	2	147

Error

0.0b

Counts

147 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(log.f32 (+.f32 x (*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)))))
✓	15.5b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize47.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (+.f32 x (*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)))))
✓	0.0b	(sqrt.f32 (+.f32 x 1))
✓	0.0b	(+.f32 x (*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1))))
✓	0.5b	(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)))

Compiler

Compiled 50 to 37 computations (26% saved)

series134.0ms (5.4%)

Counts

4 → 0

Calls

12 calls:

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

Compiler

Compiled 10040 to 8530 computations (15% saved)

rewrite69.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

485×	`log-prod_binary32`
410×	`pow-prod-down_binary32`
371×	`fma-def_binary32`
273×	`pow2_binary32`
233×	`fma-neg_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	233	35
2	3102	35

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

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

simplify103.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary32`
513×	`distribute-rgt-in_binary32`
476×	`distribute-lft-in_binary32`
316×	`sqr-pow_binary32`
271×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	2857
1	891	2760
2	2586	2582

Stop Event

1×	node limit

Counts

183 → 210

Calls

Call 1

Inputs
(+.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)
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 1)
(pow.f32 (fma.f32 x x -1) 1/2)
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/6) 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)
(sqrt.f32 (fma.f32 x x -1))
(log.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))
(log.f32 (+.f32 1 (expm1.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))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 1))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1/2))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 1/6)) 3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 1/4)) 2))
(exp.f32 (.f32 (.f32 3/2 (log.f32 (fma.f32 x x -1))) 1/3))
(exp.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 1) 1))
(exp.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 3) 1/3))
(-.f32 (exp.f32 (log1p.f32 (+.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 (-.f32 (fma.f32 x x (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 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(.f32 (pow.f32 (E.f32) (.f32 2 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (pow.f32 (E.f32) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(/.f32 1 (/.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))))
(/.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)) (-.f32 (fma.f32 x x (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 (-.f32 (fma.f32 x x (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))
(/.f32 (pow.f32 (E.f32) (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (E.f32))
(/.f32 (pow.f32 (E.f32) (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)))) (pow.f32 (E.f32) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(/.f32 (pow.f32 (E.f32) (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (pow.f32 (E.f32) (log.f32 (-.f32 (fma.f32 x x (fma.f32 x x -1)) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(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))) 2) 1/2)
(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 (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 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (*.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 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))))))
(pow.f32 (exp.f32 (sqrt.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))))) 1))
(pow.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))) -1)
(pow.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 (*.f32 x x) (fma.f32 x x -1))) -1)
(pow.f32 (pow.f32 (E.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))
(pow.f32 (pow.f32 (E.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 (pow.f32 (E.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 (pow.f32 (exp.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))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (cbrt.f32 (pow.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)))))))
(pow.f32 (pow.f32 (exp.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)))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (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 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (cbrt.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 (pow.f32 (exp.f32 (sqrt.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))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (sqrt.f32 (sqrt.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)))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (exp.f32 (sqrt.f32 (fma.f32 x x -1)))))
(log.f32 (*.f32 (exp.f32 x) (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))) (exp.f32 x)))
(log.f32 (*.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))) (+.f32 1 (expm1.f32 x))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))) (+.f32 1 (expm1.f32 x))))
(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)))))
(exp.f32 (.f32 (.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))
(fma.f32 x 1 (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 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)) x)
(fma.f32 (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (+.f32 x 1)) x)
(fma.f32 (sqrt.f32 (fma.f32 x x -1)) 1 x)
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (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)))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (*.f32 (cbrt.f32 x) 1) (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (pow.f32 (fma.f32 x x -1) 1/6) (cbrt.f32 (fma.f32 x x -1)) x)
(fma.f32 (cbrt.f32 (fma.f32 x x -1)) (pow.f32 (fma.f32 x x -1) 1/6) x)
(fma.f32 (cbrt.f32 (+.f32 x -1)) (*.f32 (pow.f32 (+.f32 x -1) 1/6) (sqrt.f32 (+.f32 x 1))) x)
(fma.f32 (cbrt.f32 (+.f32 x 1)) (*.f32 (pow.f32 (+.f32 x 1) 1/6) (sqrt.f32 (+.f32 x -1))) x)
(fma.f32 (pow.f32 (+.f32 x -1) 1/4) (*.f32 (pow.f32 (+.f32 x -1) 1/4) (sqrt.f32 (+.f32 x 1))) x)
(fma.f32 (pow.f32 (+.f32 x 1) 1/4) (*.f32 (pow.f32 (+.f32 x 1) 1/4) (sqrt.f32 (+.f32 x -1))) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (sqrt.f32 x) (*.f32 (sqrt.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) x)
(fma.f32 (*.f32 (sqrt.f32 (+.f32 x 1)) (cbrt.f32 (+.f32 x -1))) (pow.f32 (+.f32 x -1) 1/6) x)
(fma.f32 (*.f32 (sqrt.f32 (+.f32 x 1)) (pow.f32 (+.f32 x -1) 1/4)) (pow.f32 (+.f32 x -1) 1/4) x)
(fma.f32 (*.f32 (sqrt.f32 (+.f32 x -1)) (cbrt.f32 (+.f32 x 1))) (pow.f32 (+.f32 x 1) 1/6) x)
(fma.f32 (*.f32 (sqrt.f32 (+.f32 x -1)) (pow.f32 (+.f32 x 1) 1/4)) (pow.f32 (+.f32 x 1) 1/4) x)
(+.f32 0 (sqrt.f32 (+.f32 x 1)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 x 1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 x 1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 x 1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 x 1))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (+.f32 x 1)))) 1)
(*.f32 1 (sqrt.f32 (+.f32 x 1)))
(*.f32 (sqrt.f32 (+.f32 x 1)) 1)
(*.f32 (pow.f32 (+.f32 x 1) 1/6) (cbrt.f32 (+.f32 x 1)))
(*.f32 (cbrt.f32 (+.f32 x 1)) (pow.f32 (+.f32 x 1) 1/6))
(*.f32 (pow.f32 (+.f32 x 1) 1/4) (pow.f32 (+.f32 x 1) 1/4))
(/.f32 (sqrt.f32 (fma.f32 x x -1)) (sqrt.f32 (+.f32 x -1)))
(/.f32 (hypot.f32 1 (pow.f32 x 3/2)) (hypot.f32 x (sqrt.f32 (-.f32 1 x))))
(pow.f32 (+.f32 x 1) 1/2)
(pow.f32 (sqrt.f32 (+.f32 x 1)) 1)
(pow.f32 (pow.f32 (+.f32 x 1) 3/2) 1/3)
(pow.f32 (pow.f32 (+.f32 x 1) 2) 1/4)
(pow.f32 (pow.f32 (+.f32 x 1) 3) 1/6)
(pow.f32 (pow.f32 (+.f32 x 1) 1/6) 3)
(pow.f32 (cbrt.f32 (+.f32 x 1)) 3/2)
(pow.f32 (pow.f32 (+.f32 x 1) 1/4) 2)
(fabs.f32 (sqrt.f32 (+.f32 x 1)))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 x 1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (+.f32 x 1)))))
(cbrt.f32 (pow.f32 (+.f32 x 1) 3/2))
(hypot.f32 1 (sqrt.f32 x))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 x 1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 x 1))))
(exp.f32 (*.f32 1/2 (log1p.f32 x)))
(exp.f32 (*.f32 (log1p.f32 x) 1/2))
(exp.f32 (.f32 (.f32 1/2 (log1p.f32 x)) 1))
(exp.f32 (.f32 (.f32 3/2 (log1p.f32 x)) 1/3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 x 1) 1/6)) 3))
(exp.f32 (.f32 (.f32 1/4 (log1p.f32 x)) 2))
(exp.f32 (.f32 (.f32 (log1p.f32 x) 1) 1/2))
(exp.f32 (.f32 (.f32 (log1p.f32 x) 1/2) 1))
(exp.f32 (.f32 (.f32 (*.f32 1/2 (log1p.f32 x)) 1) 1))
(+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.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)))))))
(+.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))))))
(+.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)))))))
(+.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 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))))))
(-.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)))))
(-.f32 0 (log.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 (*.f32 x x) (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 (-.f32 (fma.f32 x x (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 -1) (-.f32 (.f32 x x) (.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(-.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)))))))
(-.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))))))
(-.f32 (log.f32 (-.f32 (fma.f32 x x -1) (*.f32 x x))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x -1)) x)))
(*.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))))))
(*.f32 3 (log.f32 (cbrt.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 1/3 (.f32 3 (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)))) 2) 1/2)
(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)
(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)))))
(neg.f32 (log.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 (*.f32 x x) (fma.f32 x x -1)))))
(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))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3)) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1) 1))

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

eval91.0ms (3.6%)

Compiler: Compiled 3570 to 2533 computations (29% saved)

prune35.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	209	3	212

Error

Counts

212 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)) x))
✓	0.0b	(log.f32 (+.f32 x (*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)))))
✓	15.5b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Compiler

Compiled 35 to 26 computations (25.7% saved)

localize56.0ms (2.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 39 to 28 computations (28.2% saved)

series111.0ms (4.4%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	x	@	inf	(fma.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)) x)
1.0ms	x	@	0	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)) x))
1.0ms	x	@	0	(fma.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)) x)
0.0ms	x	@	-inf	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)) x))
0.0ms	x	@	inf	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)) x))

Compiler

Compiled 5485 to 4810 computations (12.3% saved)

rewrite50.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`pow1_binary32`
865×	`add-log-exp_binary32`
864×	`log1p-expm1-u_binary32`
864×	`expm1-log1p-u_binary32`
846×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	203	22
2	2452	22

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (fma.f32 x x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) 1) x)))) (#(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 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 (sqrt.f32 (fma.f32 x x -1)) 3) (pow.f32 x 3)) (+.f32 (fma.f32 x x -1) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x -1)) x))))))) (#(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 +.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 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))))))))))

simplify65.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

358×	`unswap-sqr_binary32`
352×	`log-prod_binary32`
300×	`fma-neg_binary32`
281×	`fma-def_binary32`
217×	`associate-*l/_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	507
1	202	505
2	753	505
3	3645	495

Stop Event

1×	node limit

Counts

43 → 47

Calls

Call 1

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

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

eval52.0ms (2.1%)

Compiler: Compiled 1225 to 896 computations (26.9% saved)

prune15.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	86	3	89

Error

Counts

89 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)) x))
✓	0.0b	(log.f32 (+.f32 x (*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)))))
✓	15.5b	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Compiler

Compiled 35 to 26 computations (25.7% saved)

regimes11.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
3.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))`
0.0b	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))`

Compiler

Compiled 54 to 38 computations (29.6% saved)

regimes11.0ms (0.4%)

Accuracy

Total -15.5b remaining (-99175%)

Threshold costs -15.5b (-99175%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
3.0ms	x
3.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))`
0.0b	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))`

Compiler

Compiled 43 to 30 computations (30.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary32`
1×	`*-commutative_binary32`
1×	`sub-neg_binary32`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	27	50
2	28	50

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 35 to 26 computations (25.7% saved)

soundness0.0ms (0%)

end24.0ms (1%)

Compiler: Compiled 33 to 24 computations (27.3% saved)

Details

analyze0.0ms (0%)

sample1.2s (47.4%)

preprocess13.0ms (0.5%)

simplify111.0ms (4.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize38.0ms (1.5%)

series65.0ms (2.6%)

rewrite99.0ms (4%)

simplify49.0ms (2%)

eval42.0ms (1.7%)

prune21.0ms (0.9%)

localize47.0ms (1.9%)

series134.0ms (5.4%)

rewrite69.0ms (2.7%)

simplify103.0ms (4.1%)

eval91.0ms (3.6%)

prune35.0ms (1.4%)

localize56.0ms (2.2%)

series111.0ms (4.4%)

rewrite50.0ms (2%)

simplify65.0ms (2.6%)

eval52.0ms (2.1%)

prune15.0ms (0.6%)

regimes11.0ms (0.4%)

regimes11.0ms (0.4%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end24.0ms (1%)

Profiling