Metrics for Rust f64::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)

sample758.0ms (34.6%)

Results

748.0ms

8256×

body

256

valid

Bogosity

preprocess269.0ms (12.3%)

Algorithm

1×	egg-herbie

Rules

1130×	`fma-def`
1034×	`sub-neg`
986×	`unsub-neg`
824×	`distribute-neg-in`
774×	`distribute-rgt-out`

Problems

136×	`(sqrt.f64 (-.f64 (*.f64 x x) 1))`
120×	No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	26	37
2	32	37
3	49	37
4	88	37
5	171	37
6	496	37
7	1204	37
8	2989	37
9	4387	37
10	5521	37
11	5977	37
12	6180	37
13	6254	37
14	6333	37
15	7036	37
16	7859	37

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(acosh.f64 x)
(acosh.f64 (neg.f64 x))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(acosh.f64 x)
(acosh.f64 (neg.f64 x))

Compiler

Compiled 45 to 25 computations (44.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	48.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 20 to 14 computations (30% saved)

localize43.0ms (1.9%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	50.5%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms	x	@	-inf	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms	x	@	0	(sqrt.f64 (-.f64 (*.f64 x x) 1))
1.0ms	x	@	inf	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.0ms	x	@	inf	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite87.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`fma-def`
902×	`log-prod`
770×	`prod-exp`
618×	`pow-prod-down`
496×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	214	55
2	2915	55

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Outputs
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (E.f64))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)) 1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) x)
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))

simplify127.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

896×	`times-frac`
890×	`distribute-rgt-in`
890×	`distribute-lft-in`
644×	`associate-+r+`
580×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	432	6315
1	1024	6067
2	2979	5743

Stop Event

1×	node limit

Counts

189 → 282

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (E.f64))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)) 1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) x)
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))

Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (.f64 1/2 (.f64 x x)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 (.f64 1/2 (.f64 x x)) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (.f64 1/2 (.f64 x x)) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 -1/2 x))
(+.f64 x (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 x (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 x (+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/16 (pow.f64 x 5))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x)))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (/.f64 1/16 (pow.f64 x 5)) x))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) x)
(+.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (+.f64 (sqrt.f64 -1) x) (/.f64 (.f64 1/2 (.f64 x x)) (sqrt.f64 -1)))
(+.f64 x (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)))
(+.f64 x (+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (+.f64 (sqrt.f64 -1) x) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 (.f64 1/2 (.f64 x x)) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 x (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))))
(+.f64 x (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 x 2) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(-.f64 (*.f64 x 2) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (+.f64 (fma.f64 x 2 (/.f64 -1/16 (pow.f64 x 5))) (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(+.f64 (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))) (/.f64 5/128 (pow.f64 x 7)))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 5/128 (pow.f64 x 7))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 x (sqrt.f64 -1))))
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(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

eval181.0ms (8.2%)

Compiler: Compiled 4764 to 3465 computations (27.3% saved)

prune71.0ms (3.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	280	2	282
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	280	3	283

Accuracy

100.0%

Counts

283 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	48.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	99.1%	(log.f64 (+.f64 x x))
▶	99.8%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	48.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	99.1%	(log.f64 (+.f64 x x))

Compiler

Compiled 48 to 32 computations (33.3% saved)

localize54.0ms (2.5%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	100.0%	(+.f64 x (-.f64 x (/.f64 1/2 x)))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
0.0ms	x	@	0	(+.f64 x (-.f64 x (/.f64 1/2 x)))
0.0ms	x	@	inf	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
0.0ms	x	@	0	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
0.0ms	x	@	inf	(+.f64 x (-.f64 x (/.f64 1/2 x)))

rewrite88.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`log-prod`
934×	`fma-def`
656×	`prod-exp`
630×	`pow-prod-down`
470×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	204	42
2	2950	34

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

Inputs
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

Outputs
(-.f64 x (-.f64 (/.f64 1/2 x) x))
(-.f64 (+.f64 x x) (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x x) (/.f64 1/2 x))) (/.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)
(*.f64 1 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (.f64 x x))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(*.f64 2 (sinh.f64 (log.f64 (+.f64 x x))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 (.f64 x x) (.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (+.f64 (-.f64 x x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (*.f64 1/8 (pow.f64 x -3))) (+.f64 (pow.f64 (+.f64 x x) 2) (fma.f64 1/4 (pow.f64 x -2) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (*.f64 x x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 1/4 (pow.f64 x -2))) (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))) (pow.f64 (exp.f64 1) (log.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)))) (pow.f64 (exp.f64 1) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)))))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (exp.f64 1))
(pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(pow.f64 (+.f64 1 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)) 1)
(pow.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) -1)
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) 1) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x (/.f64 -1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (/.f64 -1/2 x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(fma.f64 x 1 (+.f64 x (/.f64 -1/2 x)))
(fma.f64 x 1 (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (+.f64 x (/.f64 -1/2 x)) 1 x)
(fma.f64 1 x (+.f64 x (/.f64 -1/2 x)))
(fma.f64 1 x (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 1 (+.f64 x (/.f64 -1/2 x)) x)
(fma.f64 1 (+.f64 x x) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 (-.f64 (pow.f64 x 3) (.f64 1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (.f64 x x))) x)
(fma.f64 (-.f64 (.f64 x x) (.f64 1/4 (pow.f64 x -2))) (/.f64 1 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (/.f64 -1/2 x))
(fma.f64 2 x (/.f64 -1/2 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) x)
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 (.f64 x x) (.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))) (log.f64 (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (*.f64 1/8 (pow.f64 x -3)))) (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (*.f64 x x))) (log.f64 (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 1/4 (pow.f64 x -2)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(.f64 1/3 (.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))

simplify123.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

990×	`distribute-lft-in`
980×	`unswap-sqr`
944×	`distribute-rgt-in`
658×	`times-frac`
504×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	374	5747
1	931	5021
2	2690	4879

Stop Event

1×	node limit

Counts

163 → 232

Calls

Call 1

Inputs
(/.f64 -1/2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 x (-.f64 (/.f64 1/2 x) x))
(-.f64 (+.f64 x x) (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x x) (/.f64 1/2 x))) (/.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)
(*.f64 1 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (.f64 x x))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(*.f64 2 (sinh.f64 (log.f64 (+.f64 x x))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 (.f64 x x) (.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (+.f64 (-.f64 x x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (*.f64 1/8 (pow.f64 x -3))) (+.f64 (pow.f64 (+.f64 x x) 2) (fma.f64 1/4 (pow.f64 x -2) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (*.f64 x x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 1/4 (pow.f64 x -2))) (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))) (pow.f64 (exp.f64 1) (log.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)))) (pow.f64 (exp.f64 1) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)))))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (exp.f64 1))
(pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(pow.f64 (+.f64 1 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)) 1)
(pow.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) -1)
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) 1) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x (/.f64 -1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (/.f64 -1/2 x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(fma.f64 x 1 (+.f64 x (/.f64 -1/2 x)))
(fma.f64 x 1 (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (+.f64 x (/.f64 -1/2 x)) 1 x)
(fma.f64 1 x (+.f64 x (/.f64 -1/2 x)))
(fma.f64 1 x (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 1 (+.f64 x (/.f64 -1/2 x)) x)
(fma.f64 1 (+.f64 x x) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 (-.f64 (pow.f64 x 3) (.f64 1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (.f64 x x))) x)
(fma.f64 (-.f64 (.f64 x x) (.f64 1/4 (pow.f64 x -2))) (/.f64 1 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (/.f64 -1/2 x))
(fma.f64 2 x (/.f64 -1/2 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) x)
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 (.f64 x x) (.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))) (log.f64 (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (*.f64 1/8 (pow.f64 x -3)))) (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (*.f64 x x))) (log.f64 (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 1/4 (pow.f64 x -2)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(.f64 1/3 (.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))

Outputs
(/.f64 -1/2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 2 x)
(+.f64 x x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 2 x)
(+.f64 x x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 x (.f64 x -4))) (log.f64 x))
(+.f64 (.f64 x (.f64 x -4)) (log.f64 (/.f64 -1/2 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (-.f64 (fma.f64 -8 (pow.f64 x 4) (.f64 x (.f64 x -4))) (log.f64 x)))
(+.f64 (fma.f64 -8 (pow.f64 x 4) (.f64 x (.f64 x -4))) (log.f64 (/.f64 -1/2 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -64/3 (pow.f64 x 6) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -64/3 (pow.f64 x 6) (-.f64 (fma.f64 -8 (pow.f64 x 4) (.f64 x (.f64 x -4))) (log.f64 x))))
(+.f64 (+.f64 (fma.f64 -8 (pow.f64 x 4) (.f64 x (.f64 x -4))) (log.f64 (/.f64 -1/2 x))) (*.f64 -64/3 (pow.f64 x 6)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 x x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 1/4 (*.f64 x x))))
(-.f64 (log.f64 (+.f64 x x)) (/.f64 (/.f64 1/4 x) x))
(+.f64 (log.f64 (+.f64 x x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4)))))
(-.f64 (log.f64 (+.f64 x x)) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (log.f64 (+.f64 x x)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (log.f64 (+.f64 x x)) (+.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (+.f64 (log.f64 (+.f64 x x)) (+.f64 (/.f64 -1/32 (pow.f64 x 4)) (/.f64 -1/192 (pow.f64 x 6)))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (/.f64 -1/32 (pow.f64 x 4)) (/.f64 -1/192 (pow.f64 x 6)))))
(-.f64 x (-.f64 (/.f64 1/2 x) x))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (+.f64 x x) (/.f64 1/2 x))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x x) (/.f64 1/2 x))) (/.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (+.f64 (/.f64 1/2 x) 0))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/2 x)) (/.f64 1/2 x))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/2 x)) (/.f64 -1/2 x))
(*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 1 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) 1) (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (fma.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/2 x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (+.f64 1/2 (pow.f64 (-.f64 x (/.f64 1/2 x)) 2)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (+.f64 (/.f64 1/2 x) 0))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/2 x)) (/.f64 1/2 x))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/2 x)) (/.f64 -1/2 x))
(*.f64 2 (sinh.f64 (log.f64 (+.f64 x x))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
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(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/2 x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))) (log.f64 (+.f64 1/2 (pow.f64 (-.f64 x (/.f64 1/2 x)) 2))))
(neg.f64 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 (/.f64 1/2 x) 0)))
(-.f64 (log.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/2 x))) (log.f64 (/.f64 1/2 x)))
(neg.f64 (log.f64 (/.f64 (/.f64 1/2 x) (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1) 1))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))

eval159.0ms (7.3%)

Compiler: Compiled 4096 to 2921 computations (28.7% saved)

prune56.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	232	3	235

Accuracy

100.0%

Counts

235 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	48.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	99.1%	(log.f64 (+.f64 x x))

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes11.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

Calls

3 calls:

3.0ms	x
3.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
3.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
99.8%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))

Outputs
(log.f64 (+.f64 x x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	14	34
2	21	34
3	25	34
4	28	34
5	29	34

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))

Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))

Compiler

Compiled 14 to 9 computations (35.7% saved)

soundness107.0ms (4.9%)

Rules

896×	`times-frac`
890×	`distribute-rgt-in`
890×	`distribute-lft-in`
644×	`associate-+r+`
580×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	432	6315
1	1024	6067
2	2979	5743

Stop Event

1×	node limit

Compiler

Compiled 29 to 20 computations (31% saved)

end0.0ms (0%)

preprocess40.0ms (1.8%)

Compiler: Compiled 72 to 50 computations (30.6% saved)

analyze0.0ms (0%)

sample758.0ms (34.6%)

preprocess269.0ms (12.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize43.0ms (1.9%)

series4.0ms (0.2%)

rewrite87.0ms (4%)

simplify127.0ms (5.8%)

eval181.0ms (8.2%)

prune71.0ms (3.3%)

localize54.0ms (2.5%)

series2.0ms (0.1%)

rewrite88.0ms (4%)

simplify123.0ms (5.6%)

eval159.0ms (7.3%)

prune56.0ms (2.6%)

regimes11.0ms (0.5%)

regimes3.0ms (0.1%)

simplify6.0ms (0.3%)

soundness107.0ms (4.9%)

end0.0ms (0%)

preprocess40.0ms (1.8%)

Profiling