Metrics for Rust f32::acosh

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)

sample1.1s (21.4%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess300.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1158×	`+-commutative`
1092×	`*-commutative`
824×	`distribute-lft-out--`
764×	`associate-+l-`
748×	`associate-+r+`

Problems

131×	No Errors
124×	`(sqrt.f32 (-.f32 (*.f32 x x) 1))`
1×	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	31	52
2	37	52
3	54	52
4	87	52
5	204	52
6	535	52
7	1526	52
8	3599	52
9	4928	52
10	6262	52
11	6864	52
12	7072	52
13	7146	52
14	7241	52
15	7954	52

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 45 to 25 computations (44.4% saved)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
▶	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))

Compiler

Compiled 20 to 14 computations (30% saved)

localize78.0ms (1.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
✓	99.6%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	57.6%	(sqrt.f32 (-.f32 (*.f32 x x) 1))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

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

rewrite193.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`associate-*r/`
664×	`associate-*l/`
628×	`*-commutative`
586×	`distribute-lft-in`
584×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	79
1	156	79
2	1978	79

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

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

simplify139.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1304×	`associate-*r/`
1008×	`associate-*l/`
938×	`+-commutative`
924×	`associate-+l+`
892×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	512	11724
1	1317	10882
2	4481	10666

Stop Event

1×	node limit

Counts

208 → 334

Calls

Call 1

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

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

eval157.0ms (3.1%)

Compiler: Compiled 7221 to 5325 computations (26.3% saved)

prune51.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	331	3	334
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	331	4	335

Accuracy

100.0%

Counts

335 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(+.f32 (log.f32 2) (log.f32 x))
▶	99.0%	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
▶	97.7%	(log.f32 (+.f32 x x))
▶	97.1%	(+.f32 (log.f32 2) (log.f32 x))
▶	99.0%	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
▶	97.7%	(log.f32 (+.f32 x x))

Compiler

Compiled 60 to 44 computations (26.7% saved)

localize133.0ms (2.7%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.0%	(+.f32 (log.f32 2) (log.f32 x))
✓	100.0%	(/.f32 1/2 x)
✓	99.6%	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	99.6%	(log.f32 (+.f32 x x))

Compiler

Compiled 45 to 28 computations (37.8% saved)

series98.0ms (2%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	(log.f32 (+.f32 x x))
22.0ms	x	@	-inf	(+.f32 (log.f32 2) (log.f32 x))
18.0ms	x	@	-inf	(log.f32 (+.f32 x x))
15.0ms	x	@	0	(+.f32 (log.f32 2) (log.f32 x))
13.0ms	x	@	inf	(+.f32 (log.f32 2) (log.f32 x))

rewrite119.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`associate-/r*`
744×	`*-commutative`
692×	`distribute-lft-in`
648×	`associate-/l*`
630×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	52
1	215	40
2	3062	16

Stop Event

1×	node limit

Counts

4 → 339

Calls

Call 1

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

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

simplify231.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1030×	`+-commutative`
860×	`unswap-sqr`
690×	`associate-+r-`
690×	`associate--r+`
682×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	13230
1	936	12256
2	4517	12232

Stop Event

1×	node limit

Counts

371 → 235

Calls

Call 1

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

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

eval135.0ms (2.7%)

Compiler: Compiled 3829 to 3040 computations (20.6% saved)

prune36.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	233	2	235
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	233	6	239

Accuracy

100.0%

Counts

239 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.1%	(+.f32 (log.f32 2) (log.f32 x))
▶	6.4%	(neg.f32 (log.f32 0))
✓	99.0%	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	97.7%	(log.f32 (+.f32 x x))
	6.1%	0
✓	97.1%	(+.f32 (log.f32 2) (log.f32 x))
▶	6.4%	(neg.f32 (log.f32 0))
✓	99.0%	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	97.7%	(log.f32 (+.f32 x x))
	6.1%	0

Compiler

Compiled 72 to 56 computations (22.2% saved)

localize35.0ms (0.7%)

Compiler: Compiled 8 to 8 computations (0% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	4	4
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.1%	(+.f32 (log.f32 2) (log.f32 x))
✓	6.4%	(neg.f32 (log.f32 0))
✓	99.0%	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	97.7%	(log.f32 (+.f32 x x))
	6.1%	0
✓	97.1%	(+.f32 (log.f32 2) (log.f32 x))
✓	6.4%	(neg.f32 (log.f32 0))
✓	99.0%	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	97.7%	(log.f32 (+.f32 x x))
	6.1%	0

Compiler

Compiled 72 to 56 computations (22.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune5.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.1%	(+.f32 (log.f32 2) (log.f32 x))
✓	6.4%	(neg.f32 (log.f32 0))
✓	99.0%	(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)))
✓	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
✓	97.7%	(log.f32 (+.f32 x x))
	6.1%	0

Compiler

Compiled 67 to 51 computations (23.9% saved)

regimes15.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
4.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))`
99.0%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes5.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
0
(neg.f32 (log.f32 0))
(log.f32 (+.f32 x x))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.7%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(neg.f32 (log.f32 0))

Outputs
(neg.f32 (log.f32 0))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
6.4%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
6.1%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg`
8×	`+-commutative`
8×	`*-commutative`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	56
1	23	56
2	30	56
3	35	56
4	38	56
5	39	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 20 to 16 computations (20% saved)

soundness2.1s (42.7%)

Rules

1304×	`associate-*r/`
1030×	`+-commutative`
1030×	`+-commutative`
1008×	`associate-*l/`
938×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	512	11724
1	1317	10882
2	4481	10666
0	17	52
1	215	40
2	3062	16
0	348	13230
1	936	12256
2	4517	12232
0	17	52
1	215	40
2	3062	16
0	348	13230
1	936	12256
2	4517	12232

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 168 to 100 computations (40.5% saved)

end0.0ms (0%)

preprocess39.0ms (0.8%)

Compiler: Compiled 80 to 60 computations (25% saved)

analyze0.0ms (0%)

sample1.1s (21.4%)

preprocess300.0ms (6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize78.0ms (1.6%)

series4.0ms (0.1%)

rewrite193.0ms (3.9%)

simplify139.0ms (2.8%)

eval157.0ms (3.1%)

prune51.0ms (1%)

localize133.0ms (2.7%)

series98.0ms (2%)

rewrite119.0ms (2.4%)

simplify231.0ms (4.6%)

eval135.0ms (2.7%)

prune36.0ms (0.7%)

localize35.0ms (0.7%)

eval0.0ms (0%)

prune4.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes15.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify4.0ms (0.1%)

soundness2.1s (42.7%)

end0.0ms (0%)

preprocess39.0ms (0.8%)

Profiling